TSTP Solution File: SWW868+1 by Vampire-SAT---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.9
% Problem  : SWW868+1 : TPTP v8.2.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d SAT

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Jun 24 19:03:37 EDT 2024

% Result   : CounterSatisfiable 2.40s 0.83s
% Output   : FiniteModel 2.40s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
tff('declare_$i1',type,
    cbool__00: $i ).

tff('declare_$i2',type,
    cF__00: $i ).

tff('finite_domain_$i',axiom,
    ! [X: $i] :
      ( ( X = cbool__00 )
      | ( X = cF__00 ) ) ).

tff('distinct_domain_$i',axiom,
    cbool__00 != cF__00 ).

tff(declare_cT__00,type,
    cT__00: $i ).

tff(cT__00_definition,axiom,
    cT__00 = cbool__00 ).

tff(declare_c_27type_2estring_2echar_27__00,type,
    c_27type_2estring_2echar_27__00: $i ).

tff(c_27type_2estring_2echar_27__00_definition,axiom,
    c_27type_2estring_2echar_27__00 = cbool__00 ).

tff(declare_c_27type_2enum_2enum_27__00,type,
    c_27type_2enum_2enum_27__00: $i ).

tff(c_27type_2enum_2enum_27__00_definition,axiom,
    c_27type_2enum_2enum_27__00 = cF__00 ).

tff(declare_c_27type_2east_2et_27__00,type,
    c_27type_2east_2et_27__00: $i ).

tff(c_27type_2east_2et_27__00_definition,axiom,
    c_27type_2east_2et_27__00 = cF__00 ).

tff(declare_c_27type_2etypeSystem_2etype__env_27__00,type,
    c_27type_2etypeSystem_2etype__env_27__00: $i ).

tff(c_27type_2etypeSystem_2etype__env_27__00_definition,axiom,
    c_27type_2etypeSystem_2etype__env_27__00 = cbool__00 ).

tff(declare_c_27type_2esemanticPrimitives_2etid__or__exn_27__00,type,
    c_27type_2esemanticPrimitives_2etid__or__exn_27__00: $i ).

tff(c_27type_2esemanticPrimitives_2etid__or__exn_27__00_definition,axiom,
    c_27type_2esemanticPrimitives_2etid__or__exn_27__00 = cbool__00 ).

tff(declare_c_27type_2etypeSystem_2edecls_27__00,type,
    c_27type_2etypeSystem_2edecls_27__00: $i ).

tff(c_27type_2etypeSystem_2edecls_27__00_definition,axiom,
    c_27type_2etypeSystem_2edecls_27__00 = cbool__00 ).

tff(declare_c_27type_2east_2espec_27__00,type,
    c_27type_2east_2espec_27__00: $i ).

tff(c_27type_2east_2espec_27__00_definition,axiom,
    c_27type_2east_2espec_27__00 = cbool__00 ).

tff(declare_c_27const_2eoption_2eNONE_27__00,type,
    c_27const_2eoption_2eNONE_27__00: $i ).

tff(c_27const_2eoption_2eNONE_27__00_definition,axiom,
    c_27const_2eoption_2eNONE_27__00 = cbool__00 ).

tff(declare_c_27const_2enum_2e0_27__00,type,
    c_27const_2enum_2e0_27__00: $i ).

tff(c_27const_2enum_2e0_27__00_definition,axiom,
    c_27const_2enum_2e0_27__00 = cbool__00 ).

tff(declare_c_27const_2elist_2eNIL_27__00,type,
    c_27const_2elist_2eNIL_27__00: $i ).

tff(c_27const_2elist_2eNIL_27__00_definition,axiom,
    c_27const_2elist_2eNIL_27__00 = cF__00 ).

tff(declare_c_27type_2east_2edec_27__00,type,
    c_27type_2east_2edec_27__00: $i ).

tff(c_27type_2east_2edec_27__00_definition,axiom,
    c_27type_2east_2edec_27__00 = cbool__00 ).

tff(declare_c_27const_2ebool_2eARB_27__00,type,
    c_27const_2ebool_2eARB_27__00: $i ).

tff(c_27const_2ebool_2eARB_27__00_definition,axiom,
    c_27const_2ebool_2eARB_27__00 = cF__00 ).

tff(declare_s__02,type,
    s__02: ( $i * $i ) > $i ).

tff(function_s__02,axiom,
    ( ( s__02(cbool__00,cbool__00) = cbool__00 )
    & ( s__02(cbool__00,cF__00) = cF__00 )
    & ( s__02(cF__00,cbool__00) = cbool__00 )
    & ( s__02(cF__00,cF__00) = cbool__00 ) ) ).

tff(declare_cfun__02,type,
    cfun__02: ( $i * $i ) > $i ).

tff(function_cfun__02,axiom,
    ( ( cfun__02(cbool__00,cbool__00) = cbool__00 )
    & ( cfun__02(cbool__00,cF__00) = cF__00 )
    & ( cfun__02(cF__00,cbool__00) = cbool__00 )
    & ( cfun__02(cF__00,cF__00) = cF__00 ) ) ).

tff(declare_chapp__02,type,
    chapp__02: ( $i * $i ) > $i ).

tff(function_chapp__02,axiom,
    ( ( chapp__02(cbool__00,cbool__00) = cF__00 )
    & ( chapp__02(cbool__00,cF__00) = cF__00 )
    & ( chapp__02(cF__00,cbool__00) = cbool__00 )
    & ( chapp__02(cF__00,cF__00) = cbool__00 ) ) ).

tff(declare_c_27const_2ecombin_2eK_27__01,type,
    c_27const_2ecombin_2eK_27__01: $i > $i ).

tff(function_c_27const_2ecombin_2eK_27__01,axiom,
    ( ( c_27const_2ecombin_2eK_27__01(cbool__00) = cF__00 )
    & ( c_27const_2ecombin_2eK_27__01(cF__00) = cbool__00 ) ) ).

tff(declare_c_27type_2elist_2elist_27__01,type,
    c_27type_2elist_2elist_27__01: $i > $i ).

tff(function_c_27type_2elist_2elist_27__01,axiom,
    ( ( c_27type_2elist_2elist_27__01(cbool__00) = cbool__00 )
    & ( c_27type_2elist_2elist_27__01(cF__00) = cbool__00 ) ) ).

tff(declare_c_27type_2epair_2eprod_27__02,type,
    c_27type_2epair_2eprod_27__02: ( $i * $i ) > $i ).

tff(function_c_27type_2epair_2eprod_27__02,axiom,
    ( ( c_27type_2epair_2eprod_27__02(cbool__00,cbool__00) = cbool__00 )
    & ( c_27type_2epair_2eprod_27__02(cbool__00,cF__00) = cF__00 )
    & ( c_27type_2epair_2eprod_27__02(cF__00,cbool__00) = cbool__00 )
    & ( c_27type_2epair_2eprod_27__02(cF__00,cF__00) = cbool__00 ) ) ).

tff(declare_c_27type_2enamespace_2enamespace_27__03,type,
    c_27type_2enamespace_2enamespace_27__03: ( $i * $i * $i ) > $i ).

tff(function_c_27type_2enamespace_2enamespace_27__03,axiom,
    ( ( c_27type_2enamespace_2enamespace_27__03(cbool__00,cbool__00,cbool__00) = cF__00 )
    & ( c_27type_2enamespace_2enamespace_27__03(cbool__00,cbool__00,cF__00) = cbool__00 )
    & ( c_27type_2enamespace_2enamespace_27__03(cbool__00,cF__00,cbool__00) = cF__00 )
    & ( c_27type_2enamespace_2enamespace_27__03(cbool__00,cF__00,cF__00) = cbool__00 )
    & ( c_27type_2enamespace_2enamespace_27__03(cF__00,cbool__00,cbool__00) = cF__00 )
    & ( c_27type_2enamespace_2enamespace_27__03(cF__00,cbool__00,cF__00) = cF__00 )
    & ( c_27type_2enamespace_2enamespace_27__03(cF__00,cF__00,cbool__00) = cF__00 )
    & ( c_27type_2enamespace_2enamespace_27__03(cF__00,cF__00,cF__00) = cF__00 ) ) ).

tff(declare_c_27const_2etypeSystem_2etype__env__c__fupd_27__02,type,
    c_27const_2etypeSystem_2etype__env__c__fupd_27__02: ( $i * $i ) > $i ).

tff(function_c_27const_2etypeSystem_2etype__env__c__fupd_27__02,axiom,
    ( ( c_27const_2etypeSystem_2etype__env__c__fupd_27__02(cbool__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__env__c__fupd_27__02(cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__env__c__fupd_27__02(cF__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__env__c__fupd_27__02(cF__00,cF__00) = cF__00 ) ) ).

tff(declare_c_27const_2etypeSystem_2etype__env__v_27__01,type,
    c_27const_2etypeSystem_2etype__env__v_27__01: $i > $i ).

tff(function_c_27const_2etypeSystem_2etype__env__v_27__01,axiom,
    ( ( c_27const_2etypeSystem_2etype__env__v_27__01(cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__env__v_27__01(cF__00) = cbool__00 ) ) ).

tff(declare_c_27const_2etypeSystem_2etype__env__t__fupd_27__02,type,
    c_27const_2etypeSystem_2etype__env__t__fupd_27__02: ( $i * $i ) > $i ).

tff(function_c_27const_2etypeSystem_2etype__env__t__fupd_27__02,axiom,
    ( ( c_27const_2etypeSystem_2etype__env__t__fupd_27__02(cbool__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__env__t__fupd_27__02(cbool__00,cF__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__env__t__fupd_27__02(cF__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__env__t__fupd_27__02(cF__00,cF__00) = cF__00 ) ) ).

tff(declare_c_27const_2etypeSystem_2etype__env__v__fupd_27__02,type,
    c_27const_2etypeSystem_2etype__env__v__fupd_27__02: ( $i * $i ) > $i ).

tff(function_c_27const_2etypeSystem_2etype__env__v__fupd_27__02,axiom,
    ( ( c_27const_2etypeSystem_2etype__env__v__fupd_27__02(cbool__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__env__v__fupd_27__02(cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__env__v__fupd_27__02(cF__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__env__v__fupd_27__02(cF__00,cF__00) = cF__00 ) ) ).

tff(declare_c_27const_2etypeSystem_2etype__env__c_27__01,type,
    c_27const_2etypeSystem_2etype__env__c_27__01: $i > $i ).

tff(function_c_27const_2etypeSystem_2etype__env__c_27__01,axiom,
    ( ( c_27const_2etypeSystem_2etype__env__c_27__01(cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__env__c_27__01(cF__00) = cbool__00 ) ) ).

tff(declare_c_27const_2etypeSystem_2etype__env__t_27__01,type,
    c_27const_2etypeSystem_2etype__env__t_27__01: $i > $i ).

tff(function_c_27const_2etypeSystem_2etype__env__t_27__01,axiom,
    ( ( c_27const_2etypeSystem_2etype__env__t_27__01(cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__env__t_27__01(cF__00) = cbool__00 ) ) ).

tff(declare_c_27type_2eoption_2eoption_27__01,type,
    c_27type_2eoption_2eoption_27__01: $i > $i ).

tff(function_c_27type_2eoption_2eoption_27__01,axiom,
    ( ( c_27type_2eoption_2eoption_27__01(cbool__00) = cF__00 )
    & ( c_27type_2eoption_2eoption_27__01(cF__00) = cF__00 ) ) ).

tff(declare_c_27const_2etypeSystem_2echeck__signature_27__07,type,
    c_27const_2etypeSystem_2echeck__signature_27__07: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(function_c_27const_2etypeSystem_2echeck__signature_27__07,axiom,
    ( ( c_27const_2etypeSystem_2echeck__signature_27__07(cbool__00,cbool__00,cbool__00,cbool__00,cbool__00,cbool__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cbool__00,cbool__00,cbool__00,cbool__00,cbool__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cbool__00,cbool__00,cbool__00,cbool__00,cbool__00,cF__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cbool__00,cbool__00,cbool__00,cbool__00,cbool__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cbool__00,cbool__00,cbool__00,cbool__00,cF__00,cbool__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cbool__00,cbool__00,cbool__00,cbool__00,cF__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cbool__00,cbool__00,cbool__00,cbool__00,cF__00,cF__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cbool__00,cbool__00,cbool__00,cbool__00,cF__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cbool__00,cbool__00,cbool__00,cF__00,cbool__00,cbool__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cbool__00,cbool__00,cbool__00,cF__00,cbool__00,cbool__00,cF__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cbool__00,cbool__00,cbool__00,cF__00,cbool__00,cF__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cbool__00,cbool__00,cbool__00,cF__00,cbool__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cbool__00,cbool__00,cbool__00,cF__00,cF__00,cbool__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cbool__00,cbool__00,cbool__00,cF__00,cF__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cbool__00,cbool__00,cbool__00,cF__00,cF__00,cF__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cbool__00,cbool__00,cbool__00,cF__00,cF__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cbool__00,cbool__00,cF__00,cbool__00,cbool__00,cbool__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cbool__00,cbool__00,cF__00,cbool__00,cbool__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cbool__00,cbool__00,cF__00,cbool__00,cbool__00,cF__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cbool__00,cbool__00,cF__00,cbool__00,cbool__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cbool__00,cbool__00,cF__00,cbool__00,cF__00,cbool__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cbool__00,cbool__00,cF__00,cbool__00,cF__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cbool__00,cbool__00,cF__00,cbool__00,cF__00,cF__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cbool__00,cbool__00,cF__00,cbool__00,cF__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cbool__00,cbool__00,cF__00,cF__00,cbool__00,cbool__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cbool__00,cbool__00,cF__00,cF__00,cbool__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cbool__00,cbool__00,cF__00,cF__00,cbool__00,cF__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cbool__00,cbool__00,cF__00,cF__00,cbool__00,cF__00,cF__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cbool__00,cbool__00,cF__00,cF__00,cF__00,cbool__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cbool__00,cbool__00,cF__00,cF__00,cF__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cbool__00,cbool__00,cF__00,cF__00,cF__00,cF__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cbool__00,cbool__00,cF__00,cF__00,cF__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cbool__00,cF__00,cbool__00,cbool__00,cbool__00,cbool__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cbool__00,cF__00,cbool__00,cbool__00,cbool__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cbool__00,cF__00,cbool__00,cbool__00,cbool__00,cF__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cbool__00,cF__00,cbool__00,cbool__00,cbool__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cbool__00,cF__00,cbool__00,cbool__00,cF__00,cbool__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cbool__00,cF__00,cbool__00,cbool__00,cF__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cbool__00,cF__00,cbool__00,cbool__00,cF__00,cF__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cbool__00,cF__00,cbool__00,cbool__00,cF__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cbool__00,cF__00,cbool__00,cF__00,cbool__00,cbool__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cbool__00,cF__00,cbool__00,cF__00,cbool__00,cbool__00,cF__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cbool__00,cF__00,cbool__00,cF__00,cbool__00,cF__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cbool__00,cF__00,cbool__00,cF__00,cbool__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cbool__00,cF__00,cbool__00,cF__00,cF__00,cbool__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cbool__00,cF__00,cbool__00,cF__00,cF__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cbool__00,cF__00,cbool__00,cF__00,cF__00,cF__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cbool__00,cF__00,cbool__00,cF__00,cF__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cbool__00,cF__00,cF__00,cbool__00,cbool__00,cbool__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cbool__00,cF__00,cF__00,cbool__00,cbool__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cbool__00,cF__00,cF__00,cbool__00,cbool__00,cF__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cbool__00,cF__00,cF__00,cbool__00,cbool__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cbool__00,cF__00,cF__00,cbool__00,cF__00,cbool__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cbool__00,cF__00,cF__00,cbool__00,cF__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cbool__00,cF__00,cF__00,cbool__00,cF__00,cF__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cbool__00,cF__00,cF__00,cbool__00,cF__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cbool__00,cF__00,cF__00,cF__00,cbool__00,cbool__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cbool__00,cF__00,cF__00,cF__00,cbool__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cbool__00,cF__00,cF__00,cF__00,cbool__00,cF__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cbool__00,cF__00,cF__00,cF__00,cbool__00,cF__00,cF__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cbool__00,cF__00,cF__00,cF__00,cF__00,cbool__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cbool__00,cF__00,cF__00,cF__00,cF__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cbool__00,cF__00,cF__00,cF__00,cF__00,cF__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cbool__00,cF__00,cF__00,cF__00,cF__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cF__00,cbool__00,cbool__00,cbool__00,cbool__00,cbool__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cF__00,cbool__00,cbool__00,cbool__00,cbool__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cF__00,cbool__00,cbool__00,cbool__00,cbool__00,cF__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cF__00,cbool__00,cbool__00,cbool__00,cbool__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cF__00,cbool__00,cbool__00,cbool__00,cF__00,cbool__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cF__00,cbool__00,cbool__00,cbool__00,cF__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cF__00,cbool__00,cbool__00,cbool__00,cF__00,cF__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cF__00,cbool__00,cbool__00,cbool__00,cF__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cF__00,cbool__00,cbool__00,cF__00,cbool__00,cbool__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cF__00,cbool__00,cbool__00,cF__00,cbool__00,cbool__00,cF__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cF__00,cbool__00,cbool__00,cF__00,cbool__00,cF__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cF__00,cbool__00,cbool__00,cF__00,cbool__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cF__00,cbool__00,cbool__00,cF__00,cF__00,cbool__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cF__00,cbool__00,cbool__00,cF__00,cF__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cF__00,cbool__00,cbool__00,cF__00,cF__00,cF__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cF__00,cbool__00,cbool__00,cF__00,cF__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cF__00,cbool__00,cF__00,cbool__00,cbool__00,cbool__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cF__00,cbool__00,cF__00,cbool__00,cbool__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cF__00,cbool__00,cF__00,cbool__00,cbool__00,cF__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cF__00,cbool__00,cF__00,cbool__00,cbool__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cF__00,cbool__00,cF__00,cbool__00,cF__00,cbool__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cF__00,cbool__00,cF__00,cbool__00,cF__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cF__00,cbool__00,cF__00,cbool__00,cF__00,cF__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cF__00,cbool__00,cF__00,cbool__00,cF__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cF__00,cbool__00,cF__00,cF__00,cbool__00,cbool__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cF__00,cbool__00,cF__00,cF__00,cbool__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cF__00,cbool__00,cF__00,cF__00,cbool__00,cF__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cF__00,cbool__00,cF__00,cF__00,cbool__00,cF__00,cF__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cF__00,cbool__00,cF__00,cF__00,cF__00,cbool__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cF__00,cbool__00,cF__00,cF__00,cF__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cF__00,cbool__00,cF__00,cF__00,cF__00,cF__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cF__00,cbool__00,cF__00,cF__00,cF__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cF__00,cF__00,cbool__00,cbool__00,cbool__00,cbool__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cF__00,cF__00,cbool__00,cbool__00,cbool__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cF__00,cF__00,cbool__00,cbool__00,cbool__00,cF__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cF__00,cF__00,cbool__00,cbool__00,cbool__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cF__00,cF__00,cbool__00,cbool__00,cF__00,cbool__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cF__00,cF__00,cbool__00,cbool__00,cF__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cF__00,cF__00,cbool__00,cbool__00,cF__00,cF__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cF__00,cF__00,cbool__00,cbool__00,cF__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cF__00,cF__00,cbool__00,cF__00,cbool__00,cbool__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cF__00,cF__00,cbool__00,cF__00,cbool__00,cbool__00,cF__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cF__00,cF__00,cbool__00,cF__00,cbool__00,cF__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cF__00,cF__00,cbool__00,cF__00,cbool__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cF__00,cF__00,cbool__00,cF__00,cF__00,cbool__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cF__00,cF__00,cbool__00,cF__00,cF__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cF__00,cF__00,cbool__00,cF__00,cF__00,cF__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cF__00,cF__00,cbool__00,cF__00,cF__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cF__00,cF__00,cF__00,cbool__00,cbool__00,cbool__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cF__00,cF__00,cF__00,cbool__00,cbool__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cF__00,cF__00,cF__00,cbool__00,cbool__00,cF__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cF__00,cF__00,cF__00,cbool__00,cbool__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cF__00,cF__00,cF__00,cbool__00,cF__00,cbool__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cF__00,cF__00,cF__00,cbool__00,cF__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cF__00,cF__00,cF__00,cbool__00,cF__00,cF__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cF__00,cF__00,cF__00,cbool__00,cF__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cF__00,cF__00,cF__00,cF__00,cbool__00,cbool__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cF__00,cF__00,cF__00,cF__00,cbool__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cF__00,cF__00,cF__00,cF__00,cbool__00,cF__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cF__00,cF__00,cF__00,cF__00,cbool__00,cF__00,cF__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cF__00,cF__00,cF__00,cF__00,cF__00,cbool__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cF__00,cF__00,cF__00,cF__00,cF__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cF__00,cF__00,cF__00,cF__00,cF__00,cF__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__signature_27__07(cF__00,cF__00,cF__00,cF__00,cF__00,cF__00,cF__00) = cF__00 ) ) ).

tff(declare_c_27const_2eoption_2eSOME_27__01,type,
    c_27const_2eoption_2eSOME_27__01: $i > $i ).

tff(function_c_27const_2eoption_2eSOME_27__01,axiom,
    ( ( c_27const_2eoption_2eSOME_27__01(cbool__00) = cF__00 )
    & ( c_27const_2eoption_2eSOME_27__01(cF__00) = cF__00 ) ) ).

tff(declare_c_27const_2etypeSystem_2eweak__tenv_27__02,type,
    c_27const_2etypeSystem_2eweak__tenv_27__02: ( $i * $i ) > $i ).

tff(function_c_27const_2etypeSystem_2eweak__tenv_27__02,axiom,
    ( ( c_27const_2etypeSystem_2eweak__tenv_27__02(cbool__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2eweak__tenv_27__02(cbool__00,cF__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2eweak__tenv_27__02(cF__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2eweak__tenv_27__02(cF__00,cF__00) = cbool__00 ) ) ).

tff(declare_c_27const_2etypeSystem_2eweak__decls_27__02,type,
    c_27const_2etypeSystem_2eweak__decls_27__02: ( $i * $i ) > $i ).

tff(function_c_27const_2etypeSystem_2eweak__decls_27__02,axiom,
    ( ( c_27const_2etypeSystem_2eweak__decls_27__02(cbool__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2eweak__decls_27__02(cbool__00,cF__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2eweak__decls_27__02(cF__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2eweak__decls_27__02(cF__00,cF__00) = cbool__00 ) ) ).

tff(declare_c_27const_2etypeSystem_2etype__specs_27__05,type,
    c_27const_2etypeSystem_2etype__specs_27__05: ( $i * $i * $i * $i * $i ) > $i ).

tff(function_c_27const_2etypeSystem_2etype__specs_27__05,axiom,
    ( ( c_27const_2etypeSystem_2etype__specs_27__05(cbool__00,cbool__00,cbool__00,cbool__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__specs_27__05(cbool__00,cbool__00,cbool__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__specs_27__05(cbool__00,cbool__00,cbool__00,cF__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__specs_27__05(cbool__00,cbool__00,cbool__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__specs_27__05(cbool__00,cbool__00,cF__00,cbool__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__specs_27__05(cbool__00,cbool__00,cF__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__specs_27__05(cbool__00,cbool__00,cF__00,cF__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__specs_27__05(cbool__00,cbool__00,cF__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__specs_27__05(cbool__00,cF__00,cbool__00,cbool__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__specs_27__05(cbool__00,cF__00,cbool__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__specs_27__05(cbool__00,cF__00,cbool__00,cF__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__specs_27__05(cbool__00,cF__00,cbool__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__specs_27__05(cbool__00,cF__00,cF__00,cbool__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__specs_27__05(cbool__00,cF__00,cF__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__specs_27__05(cbool__00,cF__00,cF__00,cF__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__specs_27__05(cbool__00,cF__00,cF__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__specs_27__05(cF__00,cbool__00,cbool__00,cbool__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__specs_27__05(cF__00,cbool__00,cbool__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__specs_27__05(cF__00,cbool__00,cbool__00,cF__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__specs_27__05(cF__00,cbool__00,cbool__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__specs_27__05(cF__00,cbool__00,cF__00,cbool__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__specs_27__05(cF__00,cbool__00,cF__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__specs_27__05(cF__00,cbool__00,cF__00,cF__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__specs_27__05(cF__00,cbool__00,cF__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__specs_27__05(cF__00,cF__00,cbool__00,cbool__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__specs_27__05(cF__00,cF__00,cbool__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__specs_27__05(cF__00,cF__00,cbool__00,cF__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__specs_27__05(cF__00,cF__00,cbool__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__specs_27__05(cF__00,cF__00,cF__00,cbool__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__specs_27__05(cF__00,cF__00,cF__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__specs_27__05(cF__00,cF__00,cF__00,cF__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__specs_27__05(cF__00,cF__00,cF__00,cF__00,cF__00) = cF__00 ) ) ).

tff(declare_c_27type_2enamespace_2eid_27__02,type,
    c_27type_2enamespace_2eid_27__02: ( $i * $i ) > $i ).

tff(function_c_27type_2enamespace_2eid_27__02,axiom,
    ( ( c_27type_2enamespace_2eid_27__02(cbool__00,cbool__00) = cbool__00 )
    & ( c_27type_2enamespace_2eid_27__02(cbool__00,cF__00) = cbool__00 )
    & ( c_27type_2enamespace_2eid_27__02(cF__00,cbool__00) = cbool__00 )
    & ( c_27type_2enamespace_2eid_27__02(cF__00,cF__00) = cbool__00 ) ) ).

tff(declare_c_27const_2enamespace_2eLong_27__02,type,
    c_27const_2enamespace_2eLong_27__02: ( $i * $i ) > $i ).

tff(function_c_27const_2enamespace_2eLong_27__02,axiom,
    ( ( c_27const_2enamespace_2eLong_27__02(cbool__00,cbool__00) = cbool__00 )
    & ( c_27const_2enamespace_2eLong_27__02(cbool__00,cF__00) = cF__00 )
    & ( c_27const_2enamespace_2eLong_27__02(cF__00,cbool__00) = cF__00 )
    & ( c_27const_2enamespace_2eLong_27__02(cF__00,cF__00) = cbool__00 ) ) ).

tff(declare_c_27const_2enamespace_2ensLift_27__02,type,
    c_27const_2enamespace_2ensLift_27__02: ( $i * $i ) > $i ).

tff(function_c_27const_2enamespace_2ensLift_27__02,axiom,
    ( ( c_27const_2enamespace_2ensLift_27__02(cbool__00,cbool__00) = cbool__00 )
    & ( c_27const_2enamespace_2ensLift_27__02(cbool__00,cF__00) = cbool__00 )
    & ( c_27const_2enamespace_2ensLift_27__02(cF__00,cbool__00) = cbool__00 )
    & ( c_27const_2enamespace_2ensLift_27__02(cF__00,cF__00) = cbool__00 ) ) ).

tff(declare_c_27const_2enamespace_2ensAll_27__02,type,
    c_27const_2enamespace_2ensAll_27__02: ( $i * $i ) > $i ).

tff(function_c_27const_2enamespace_2ensAll_27__02,axiom,
    ( ( c_27const_2enamespace_2ensAll_27__02(cbool__00,cbool__00) = cbool__00 )
    & ( c_27const_2enamespace_2ensAll_27__02(cbool__00,cF__00) = cbool__00 )
    & ( c_27const_2enamespace_2ensAll_27__02(cF__00,cbool__00) = cbool__00 )
    & ( c_27const_2enamespace_2ensAll_27__02(cF__00,cF__00) = cF__00 ) ) ).

tff(declare_c_27const_2etypeSystem_2echeck__freevars_27__02,type,
    c_27const_2etypeSystem_2echeck__freevars_27__02: ( $i * $i ) > $i ).

tff(function_c_27const_2etypeSystem_2echeck__freevars_27__02,axiom,
    ( ( c_27const_2etypeSystem_2echeck__freevars_27__02(cbool__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__freevars_27__02(cbool__00,cF__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2echeck__freevars_27__02(cF__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2echeck__freevars_27__02(cF__00,cF__00) = cF__00 ) ) ).

tff(declare_c_27const_2epair_2eUNCURRY_27__01,type,
    c_27const_2epair_2eUNCURRY_27__01: $i > $i ).

tff(function_c_27const_2epair_2eUNCURRY_27__01,axiom,
    ( ( c_27const_2epair_2eUNCURRY_27__01(cbool__00) = cbool__00 )
    & ( c_27const_2epair_2eUNCURRY_27__01(cF__00) = cbool__00 ) ) ).

tff(declare_c_27const_2etypeSoundInvariants_2etenv__abbrev__ok_27__01,type,
    c_27const_2etypeSoundInvariants_2etenv__abbrev__ok_27__01: $i > $i ).

tff(function_c_27const_2etypeSoundInvariants_2etenv__abbrev__ok_27__01,axiom,
    ( ( c_27const_2etypeSoundInvariants_2etenv__abbrev__ok_27__01(cbool__00) = cF__00 )
    & ( c_27const_2etypeSoundInvariants_2etenv__abbrev__ok_27__01(cF__00) = cbool__00 ) ) ).

tff(declare_c_27const_2elist_2eEVERY_27__02,type,
    c_27const_2elist_2eEVERY_27__02: ( $i * $i ) > $i ).

tff(function_c_27const_2elist_2eEVERY_27__02,axiom,
    ( ( c_27const_2elist_2eEVERY_27__02(cbool__00,cbool__00) = cbool__00 )
    & ( c_27const_2elist_2eEVERY_27__02(cbool__00,cF__00) = cF__00 )
    & ( c_27const_2elist_2eEVERY_27__02(cF__00,cbool__00) = cbool__00 )
    & ( c_27const_2elist_2eEVERY_27__02(cF__00,cF__00) = cF__00 ) ) ).

tff(declare_c_27const_2etypeSoundInvariants_2etenv__ctor__ok_27__01,type,
    c_27const_2etypeSoundInvariants_2etenv__ctor__ok_27__01: $i > $i ).

tff(function_c_27const_2etypeSoundInvariants_2etenv__ctor__ok_27__01,axiom,
    ( ( c_27const_2etypeSoundInvariants_2etenv__ctor__ok_27__01(cbool__00) = cbool__00 )
    & ( c_27const_2etypeSoundInvariants_2etenv__ctor__ok_27__01(cF__00) = cbool__00 ) ) ).

tff(declare_c_27const_2etypeSoundInvariants_2etenv__val__ok_27__01,type,
    c_27const_2etypeSoundInvariants_2etenv__val__ok_27__01: $i > $i ).

tff(function_c_27const_2etypeSoundInvariants_2etenv__val__ok_27__01,axiom,
    ( ( c_27const_2etypeSoundInvariants_2etenv__val__ok_27__01(cbool__00) = cbool__00 )
    & ( c_27const_2etypeSoundInvariants_2etenv__val__ok_27__01(cF__00) = cbool__00 ) ) ).

tff(declare_c_27const_2etypeSoundInvariants_2etenv__ok_27__01,type,
    c_27const_2etypeSoundInvariants_2etenv__ok_27__01: $i > $i ).

tff(function_c_27const_2etypeSoundInvariants_2etenv__ok_27__01,axiom,
    ( ( c_27const_2etypeSoundInvariants_2etenv__ok_27__01(cbool__00) = cbool__00 )
    & ( c_27const_2etypeSoundInvariants_2etenv__ok_27__01(cF__00) = cF__00 ) ) ).

tff(declare_c_27const_2etypeSystem_2eextend__dec__tenv_27__02,type,
    c_27const_2etypeSystem_2eextend__dec__tenv_27__02: ( $i * $i ) > $i ).

tff(function_c_27const_2etypeSystem_2eextend__dec__tenv_27__02,axiom,
    ( ( c_27const_2etypeSystem_2eextend__dec__tenv_27__02(cbool__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2eextend__dec__tenv_27__02(cbool__00,cF__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2eextend__dec__tenv_27__02(cF__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2eextend__dec__tenv_27__02(cF__00,cF__00) = cbool__00 ) ) ).

tff(declare_c_27const_2etypeSystem_2etype__ds_27__07,type,
    c_27const_2etypeSystem_2etype__ds_27__07: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(function_c_27const_2etypeSystem_2etype__ds_27__07,axiom,
    ( ( c_27const_2etypeSystem_2etype__ds_27__07(cbool__00,cbool__00,cbool__00,cbool__00,cbool__00,cbool__00,cbool__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cbool__00,cbool__00,cbool__00,cbool__00,cbool__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cbool__00,cbool__00,cbool__00,cbool__00,cbool__00,cF__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cbool__00,cbool__00,cbool__00,cbool__00,cbool__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cbool__00,cbool__00,cbool__00,cbool__00,cF__00,cbool__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cbool__00,cbool__00,cbool__00,cbool__00,cF__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cbool__00,cbool__00,cbool__00,cbool__00,cF__00,cF__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cbool__00,cbool__00,cbool__00,cbool__00,cF__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cbool__00,cbool__00,cbool__00,cF__00,cbool__00,cbool__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cbool__00,cbool__00,cbool__00,cF__00,cbool__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cbool__00,cbool__00,cbool__00,cF__00,cbool__00,cF__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cbool__00,cbool__00,cbool__00,cF__00,cbool__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cbool__00,cbool__00,cbool__00,cF__00,cF__00,cbool__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cbool__00,cbool__00,cbool__00,cF__00,cF__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cbool__00,cbool__00,cbool__00,cF__00,cF__00,cF__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cbool__00,cbool__00,cbool__00,cF__00,cF__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cbool__00,cbool__00,cF__00,cbool__00,cbool__00,cbool__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cbool__00,cbool__00,cF__00,cbool__00,cbool__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cbool__00,cbool__00,cF__00,cbool__00,cbool__00,cF__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cbool__00,cbool__00,cF__00,cbool__00,cbool__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cbool__00,cbool__00,cF__00,cbool__00,cF__00,cbool__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cbool__00,cbool__00,cF__00,cbool__00,cF__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cbool__00,cbool__00,cF__00,cbool__00,cF__00,cF__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cbool__00,cbool__00,cF__00,cbool__00,cF__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cbool__00,cbool__00,cF__00,cF__00,cbool__00,cbool__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cbool__00,cbool__00,cF__00,cF__00,cbool__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cbool__00,cbool__00,cF__00,cF__00,cbool__00,cF__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cbool__00,cbool__00,cF__00,cF__00,cbool__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cbool__00,cbool__00,cF__00,cF__00,cF__00,cbool__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cbool__00,cbool__00,cF__00,cF__00,cF__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cbool__00,cbool__00,cF__00,cF__00,cF__00,cF__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cbool__00,cbool__00,cF__00,cF__00,cF__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cbool__00,cF__00,cbool__00,cbool__00,cbool__00,cbool__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cbool__00,cF__00,cbool__00,cbool__00,cbool__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cbool__00,cF__00,cbool__00,cbool__00,cbool__00,cF__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cbool__00,cF__00,cbool__00,cbool__00,cbool__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cbool__00,cF__00,cbool__00,cbool__00,cF__00,cbool__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cbool__00,cF__00,cbool__00,cbool__00,cF__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cbool__00,cF__00,cbool__00,cbool__00,cF__00,cF__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cbool__00,cF__00,cbool__00,cbool__00,cF__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cbool__00,cF__00,cbool__00,cF__00,cbool__00,cbool__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cbool__00,cF__00,cbool__00,cF__00,cbool__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cbool__00,cF__00,cbool__00,cF__00,cbool__00,cF__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cbool__00,cF__00,cbool__00,cF__00,cbool__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cbool__00,cF__00,cbool__00,cF__00,cF__00,cbool__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cbool__00,cF__00,cbool__00,cF__00,cF__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cbool__00,cF__00,cbool__00,cF__00,cF__00,cF__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cbool__00,cF__00,cbool__00,cF__00,cF__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cbool__00,cF__00,cF__00,cbool__00,cbool__00,cbool__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cbool__00,cF__00,cF__00,cbool__00,cbool__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cbool__00,cF__00,cF__00,cbool__00,cbool__00,cF__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cbool__00,cF__00,cF__00,cbool__00,cbool__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cbool__00,cF__00,cF__00,cbool__00,cF__00,cbool__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cbool__00,cF__00,cF__00,cbool__00,cF__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cbool__00,cF__00,cF__00,cbool__00,cF__00,cF__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cbool__00,cF__00,cF__00,cbool__00,cF__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cbool__00,cF__00,cF__00,cF__00,cbool__00,cbool__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cbool__00,cF__00,cF__00,cF__00,cbool__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cbool__00,cF__00,cF__00,cF__00,cbool__00,cF__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cbool__00,cF__00,cF__00,cF__00,cbool__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cbool__00,cF__00,cF__00,cF__00,cF__00,cbool__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cbool__00,cF__00,cF__00,cF__00,cF__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cbool__00,cF__00,cF__00,cF__00,cF__00,cF__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cbool__00,cF__00,cF__00,cF__00,cF__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cF__00,cbool__00,cbool__00,cbool__00,cbool__00,cbool__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cF__00,cbool__00,cbool__00,cbool__00,cbool__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cF__00,cbool__00,cbool__00,cbool__00,cbool__00,cF__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cF__00,cbool__00,cbool__00,cbool__00,cbool__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cF__00,cbool__00,cbool__00,cbool__00,cF__00,cbool__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cF__00,cbool__00,cbool__00,cbool__00,cF__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cF__00,cbool__00,cbool__00,cbool__00,cF__00,cF__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cF__00,cbool__00,cbool__00,cbool__00,cF__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cF__00,cbool__00,cbool__00,cF__00,cbool__00,cbool__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cF__00,cbool__00,cbool__00,cF__00,cbool__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cF__00,cbool__00,cbool__00,cF__00,cbool__00,cF__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cF__00,cbool__00,cbool__00,cF__00,cbool__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cF__00,cbool__00,cbool__00,cF__00,cF__00,cbool__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cF__00,cbool__00,cbool__00,cF__00,cF__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cF__00,cbool__00,cbool__00,cF__00,cF__00,cF__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cF__00,cbool__00,cbool__00,cF__00,cF__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cF__00,cbool__00,cF__00,cbool__00,cbool__00,cbool__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cF__00,cbool__00,cF__00,cbool__00,cbool__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cF__00,cbool__00,cF__00,cbool__00,cbool__00,cF__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cF__00,cbool__00,cF__00,cbool__00,cbool__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cF__00,cbool__00,cF__00,cbool__00,cF__00,cbool__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cF__00,cbool__00,cF__00,cbool__00,cF__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cF__00,cbool__00,cF__00,cbool__00,cF__00,cF__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cF__00,cbool__00,cF__00,cbool__00,cF__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cF__00,cbool__00,cF__00,cF__00,cbool__00,cbool__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cF__00,cbool__00,cF__00,cF__00,cbool__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cF__00,cbool__00,cF__00,cF__00,cbool__00,cF__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cF__00,cbool__00,cF__00,cF__00,cbool__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cF__00,cbool__00,cF__00,cF__00,cF__00,cbool__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cF__00,cbool__00,cF__00,cF__00,cF__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cF__00,cbool__00,cF__00,cF__00,cF__00,cF__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cF__00,cbool__00,cF__00,cF__00,cF__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cF__00,cF__00,cbool__00,cbool__00,cbool__00,cbool__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cF__00,cF__00,cbool__00,cbool__00,cbool__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cF__00,cF__00,cbool__00,cbool__00,cbool__00,cF__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cF__00,cF__00,cbool__00,cbool__00,cbool__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cF__00,cF__00,cbool__00,cbool__00,cF__00,cbool__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cF__00,cF__00,cbool__00,cbool__00,cF__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cF__00,cF__00,cbool__00,cbool__00,cF__00,cF__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cF__00,cF__00,cbool__00,cbool__00,cF__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cF__00,cF__00,cbool__00,cF__00,cbool__00,cbool__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cF__00,cF__00,cbool__00,cF__00,cbool__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cF__00,cF__00,cbool__00,cF__00,cbool__00,cF__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cF__00,cF__00,cbool__00,cF__00,cbool__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cF__00,cF__00,cbool__00,cF__00,cF__00,cbool__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cF__00,cF__00,cbool__00,cF__00,cF__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cF__00,cF__00,cbool__00,cF__00,cF__00,cF__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cF__00,cF__00,cbool__00,cF__00,cF__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cF__00,cF__00,cF__00,cbool__00,cbool__00,cbool__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cF__00,cF__00,cF__00,cbool__00,cbool__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cF__00,cF__00,cF__00,cbool__00,cbool__00,cF__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cF__00,cF__00,cF__00,cbool__00,cbool__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cF__00,cF__00,cF__00,cbool__00,cF__00,cbool__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cF__00,cF__00,cF__00,cbool__00,cF__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cF__00,cF__00,cF__00,cbool__00,cF__00,cF__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cF__00,cF__00,cF__00,cbool__00,cF__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cF__00,cF__00,cF__00,cF__00,cbool__00,cbool__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cF__00,cF__00,cF__00,cF__00,cbool__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cF__00,cF__00,cF__00,cF__00,cbool__00,cF__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cF__00,cF__00,cF__00,cF__00,cbool__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cF__00,cF__00,cF__00,cF__00,cF__00,cbool__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cF__00,cF__00,cF__00,cF__00,cF__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cF__00,cF__00,cF__00,cF__00,cF__00,cF__00,cbool__00) = cbool__00 )
    & ( c_27const_2etypeSystem_2etype__ds_27__07(cF__00,cF__00,cF__00,cF__00,cF__00,cF__00,cF__00) = cF__00 ) ) ).

tff(declare_c_27const_2elist_2eCONS_27__02,type,
    c_27const_2elist_2eCONS_27__02: ( $i * $i ) > $i ).

tff(function_c_27const_2elist_2eCONS_27__02,axiom,
    ( ( c_27const_2elist_2eCONS_27__02(cbool__00,cbool__00) = cbool__00 )
    & ( c_27const_2elist_2eCONS_27__02(cbool__00,cF__00) = cbool__00 )
    & ( c_27const_2elist_2eCONS_27__02(cF__00,cbool__00) = cbool__00 )
    & ( c_27const_2elist_2eCONS_27__02(cF__00,cF__00) = cbool__00 ) ) ).

tff(declare_p__01,type,
    p__01: $i > $o ).

tff(predicate_p__01,axiom,
    ( p__01(cbool__00)
    & ~ p__01(cF__00) ) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : SWW868+1 : TPTP v8.2.0. Released v7.3.0.
% 0.06/0.11  % Command    : run_vampire %s %d SAT
% 0.11/0.32  % Computer : n009.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Wed Jun 19 07:30:08 EDT 2024
% 0.11/0.33  % CPUTime    : 
% 0.11/0.34  This is a FOF_CSA_RFO_SEQ problem
% 0.11/0.35  Running first-order model finding
% 0.11/0.35  Running /export/starexec/sandbox/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.42  % (16333)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42  % (16338)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (3000ds/104Mi)
% 0.20/0.42  % (16333)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42  % (16334)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (3000ds/98885Mi)
% 0.20/0.42  % (16333)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42  % (16339)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (3000ds/146Mi)
% 0.20/0.42  % (16333)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42  % (16337)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (3000ds/152523Mi)
% 0.20/0.42  % (16333)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42  % (16340)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (3000ds/115Mi)
% 0.20/0.42  % (16333)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42  % (16336)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (3000ds/214858Mi)
% 0.20/0.43  % (16333)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.43  % (16335)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency:i=99418_0 on theBenchmark for (3000ds/99418Mi)
% 0.20/0.47  % (16338)Instruction limit reached!
% 0.20/0.47  % (16338)------------------------------
% 0.20/0.47  % (16338)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.47  % (16338)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.47  % (16338)Termination reason: Time limit
% 0.20/0.47  % (16338)Termination phase: Saturation
% 0.20/0.47  
% 0.20/0.47  % (16338)Memory used [KB]: 1696
% 0.20/0.47  % (16338)Time elapsed: 0.051 s
% 0.20/0.47  % (16338)Instructions burned: 105 (million)
% 0.20/0.47  % (16340)Instruction limit reached!
% 0.20/0.47  % (16340)------------------------------
% 0.20/0.47  % (16340)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.47  % (16340)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.47  % (16340)Termination reason: Time limit
% 0.20/0.47  % (16340)Termination phase: Saturation
% 0.20/0.47  
% 0.20/0.47  % (16340)Memory used [KB]: 2262
% 0.20/0.47  % (16340)Time elapsed: 0.058 s
% 0.20/0.47  % (16340)Instructions burned: 117 (million)
% 0.20/0.48  % (16339)Instruction limit reached!
% 0.20/0.48  % (16339)------------------------------
% 0.20/0.48  % (16339)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.48  % (16339)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.48  % (16339)Termination reason: Time limit
% 0.20/0.48  % (16339)Termination phase: Saturation
% 0.20/0.48  
% 0.20/0.48  % (16339)Memory used [KB]: 1784
% 0.20/0.48  % (16339)Time elapsed: 0.068 s
% 0.20/0.48  % (16339)Instructions burned: 147 (million)
% 0.20/0.50  % (16333)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.50  % (16341)dis+11_1:3_bsr=unit_only:sil=2000:rp=on:newcnf=on:i=404:kws=precedence:lsd=100_0 on theBenchmark for (2998ds/404Mi)
% 0.20/0.51  % (16333)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.51  % (16342)ott-21_1:1_sil=4000:sp=const_frequency:i=175:fsr=off:fs=off:av=off_0 on theBenchmark for (2998ds/175Mi)
% 0.20/0.52  % (16333)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.52  % (16343)ott+33_1:1_to=lpo:sil=8000:sp=weighted_frequency:rp=on:i=270:nm=3:fsr=off:sac=on_0 on theBenchmark for (2998ds/270Mi)
% 0.20/0.53  Cannot represent all propositional literals internally
% 0.20/0.53  % (16337)Refutation not found, incomplete strategy% (16337)------------------------------
% 0.20/0.53  % (16337)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.53  % (16337)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.53  % (16337)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53  
% 0.20/0.53  % (16337)Memory used [KB]: 3998
% 0.20/0.53  % (16337)Time elapsed: 0.114 s
% 0.20/0.53  % (16337)Instructions burned: 329 (million)
% 0.20/0.53  % (16337)------------------------------
% 0.20/0.53  % (16337)------------------------------
% 1.46/0.56  % (16342)Instruction limit reached!
% 1.46/0.56  % (16342)------------------------------
% 1.46/0.56  % (16342)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.46/0.56  % (16342)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.46/0.56  % (16342)Termination reason: Time limit
% 1.46/0.56  % (16342)Termination phase: Saturation
% 1.46/0.56  
% 1.46/0.56  % (16342)Memory used [KB]: 3154
% 1.46/0.56  % (16342)Time elapsed: 0.055 s
% 1.46/0.56  % (16342)Instructions burned: 178 (million)
% 1.46/0.57  % (16333)Running in auto input_syntax mode. Trying TPTP
% 1.46/0.57  % (16344)ott+4_1:1_sil=2000:i=900:bd=off:fsr=off_0 on theBenchmark for (2998ds/900Mi)
% 1.46/0.58  TRYING [1]
% 1.46/0.59  TRYING [2]
% 1.46/0.60  % (16333)Running in auto input_syntax mode. Trying TPTP
% 1.46/0.60  % (16345)fmb+10_1:1_sil=8000:fde=unused:fmbes=contour:i=7859:nm=2:fmbswr=0_0 on theBenchmark for (2998ds/7859Mi)
% 1.46/0.60  % (16343)Instruction limit reached!
% 1.46/0.60  % (16343)------------------------------
% 1.46/0.60  % (16343)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.46/0.60  % (16343)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.46/0.60  % (16343)Termination reason: Time limit
% 1.46/0.60  % (16343)Termination phase: Saturation
% 1.46/0.60  
% 1.46/0.60  % (16343)Memory used [KB]: 2384
% 1.46/0.60  % (16343)Time elapsed: 0.083 s
% 1.46/0.60  % (16343)Instructions burned: 271 (million)
% 1.46/0.62  % (16341)Instruction limit reached!
% 1.46/0.62  % (16341)------------------------------
% 1.46/0.62  % (16341)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.46/0.62  % (16341)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.46/0.62  % (16341)Termination reason: Time limit
% 1.46/0.62  % (16341)Termination phase: Saturation
% 1.46/0.62  
% 1.46/0.62  % (16341)Memory used [KB]: 3684
% 1.46/0.62  % (16341)Time elapsed: 0.118 s
% 1.46/0.62  % (16341)Instructions burned: 404 (million)
% 1.82/0.64  % (16333)Running in auto input_syntax mode. Trying TPTP
% 1.82/0.64  % (16346)ott+11_1:2_anc=none:sil=2000:sp=const_max:spb=units:s2a=on:i=2145:s2at=5.0:awrs=converge:awrsf=170:rawr=on:gs=on:fsr=off_0 on theBenchmark for (2997ds/2145Mi)
% 1.82/0.66  % (16333)Running in auto input_syntax mode. Trying TPTP
% 1.82/0.66  % (16347)ott-30_1:1024_sil=4000:alpa=true:newcnf=on:i=1187:bs=unit_only:ins=1:amm=off_0 on theBenchmark for (2997ds/1187Mi)
% 1.98/0.73  TRYING [1]
% 2.17/0.74  TRYING [2]
% 2.40/0.82  % (16344)Instruction limit reached!
% 2.40/0.82  % (16344)------------------------------
% 2.40/0.82  % (16344)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.40/0.82  % (16344)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.40/0.82  % (16344)Termination reason: Time limit
% 2.40/0.82  % (16344)Termination phase: Saturation
% 2.40/0.82  
% 2.40/0.82  % (16344)Memory used [KB]: 5271
% 2.40/0.82  % (16344)Time elapsed: 0.256 s
% 2.40/0.82  % (16344)Instructions burned: 901 (million)
% 2.40/0.83  Finite Model Found!
% 2.40/0.83  % SZS status CounterSatisfiable for theBenchmark
% 2.40/0.83  % (16336)First to succeed.
% 2.40/0.83  % (16336)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-16333"
% 2.40/0.84  % (16333)Running in auto input_syntax mode. Trying TPTP
% 2.40/0.84  % SZS output start FiniteModel for theBenchmark
% See solution above
% 2.40/0.84  % (16336)------------------------------
% 2.40/0.84  % (16336)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.40/0.84  % (16336)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.40/0.84  % (16336)Termination reason: Satisfiable
% 2.40/0.84  
% 2.40/0.84  % (16336)Memory used [KB]: 5918
% 2.40/0.84  % (16336)Time elapsed: 0.417 s
% 2.40/0.84  % (16336)Instructions burned: 1414 (million)
% 2.40/0.84  % (16336)------------------------------
% 2.40/0.84  % (16336)------------------------------
% 2.40/0.84  % (16333)Success in time 0.471 s
%------------------------------------------------------------------------------