TSTP Solution File: SWW863+1 by Vampire-SAT---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.9
% Problem  : SWW863+1 : TPTP v8.2.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d SAT

% Computer : n032.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 19:03:35 EDT 2024

% Result   : CounterSatisfiable 7.27s 1.38s
% Output   : FiniteModel 7.27s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

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

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

tff('declare_$i3',type,
    c_27const_2ereg__alloc_2eAtemp_27__00: $i ).

tff('finite_domain_$i',axiom,
    ! [X: $i] :
      ( ( X = cbool__00 )
      | ( X = cF__00 )
      | ( X = c_27const_2ereg__alloc_2eAtemp_27__00 ) ) ).

tff('distinct_domain_$i',axiom,
    ( ( cbool__00 != cF__00 )
    & ( cbool__00 != c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( cF__00 != c_27const_2ereg__alloc_2eAtemp_27__00 ) ) ).

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

tff(cT__00_definition,axiom,
    cT__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 = cbool__00 ).

tff(declare_c_27type_2ereg__alloc_2etag_27__00,type,
    c_27type_2ereg__alloc_2etag_27__00: $i ).

tff(c_27type_2ereg__alloc_2etag_27__00_definition,axiom,
    c_27type_2ereg__alloc_2etag_27__00 = cF__00 ).

tff(declare_c_27const_2ereg__alloc_2eStemp_27__00,type,
    c_27const_2ereg__alloc_2eStemp_27__00: $i ).

tff(c_27const_2ereg__alloc_2eStemp_27__00_definition,axiom,
    c_27const_2ereg__alloc_2eStemp_27__00 = cbool__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(cbool__00,c_27const_2ereg__alloc_2eAtemp_27__00) = cF__00 )
    & ( s__02(cF__00,cbool__00) = cbool__00 )
    & ( s__02(cF__00,cF__00) = cF__00 )
    & ( s__02(cF__00,c_27const_2ereg__alloc_2eAtemp_27__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( s__02(c_27const_2ereg__alloc_2eAtemp_27__00,cbool__00) = cF__00 )
    & ( s__02(c_27const_2ereg__alloc_2eAtemp_27__00,cF__00) = cF__00 )
    & ( s__02(c_27const_2ereg__alloc_2eAtemp_27__00,c_27const_2ereg__alloc_2eAtemp_27__00) = cF__00 ) ) ).

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

tff(function_cfun__02,axiom,
    ( ( cfun__02(cbool__00,cbool__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( cfun__02(cbool__00,cF__00) = cbool__00 )
    & ( cfun__02(cbool__00,c_27const_2ereg__alloc_2eAtemp_27__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( cfun__02(cF__00,cbool__00) = cbool__00 )
    & ( cfun__02(cF__00,cF__00) = cbool__00 )
    & ( cfun__02(cF__00,c_27const_2ereg__alloc_2eAtemp_27__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( cfun__02(c_27const_2ereg__alloc_2eAtemp_27__00,cbool__00) = cbool__00 )
    & ( cfun__02(c_27const_2ereg__alloc_2eAtemp_27__00,cF__00) = cbool__00 )
    & ( cfun__02(c_27const_2ereg__alloc_2eAtemp_27__00,c_27const_2ereg__alloc_2eAtemp_27__00) = c_27const_2ereg__alloc_2eAtemp_27__00 ) ) ).

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

tff(function_chapp__02,axiom,
    ( ( chapp__02(cbool__00,cbool__00) = cbool__00 )
    & ( chapp__02(cbool__00,cF__00) = cbool__00 )
    & ( chapp__02(cbool__00,c_27const_2ereg__alloc_2eAtemp_27__00) = cbool__00 )
    & ( chapp__02(cF__00,cbool__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( chapp__02(cF__00,cF__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( chapp__02(cF__00,c_27const_2ereg__alloc_2eAtemp_27__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( chapp__02(c_27const_2ereg__alloc_2eAtemp_27__00,cbool__00) = cbool__00 )
    & ( chapp__02(c_27const_2ereg__alloc_2eAtemp_27__00,cF__00) = cF__00 )
    & ( chapp__02(c_27const_2ereg__alloc_2eAtemp_27__00,c_27const_2ereg__alloc_2eAtemp_27__00) = cF__00 ) ) ).

tff(declare_c_27const_2ebool_2eCOND_27__03,type,
    c_27const_2ebool_2eCOND_27__03: ( $i * $i * $i ) > $i ).

tff(function_c_27const_2ebool_2eCOND_27__03,axiom,
    ( ( c_27const_2ebool_2eCOND_27__03(cbool__00,cbool__00,cbool__00) = cbool__00 )
    & ( c_27const_2ebool_2eCOND_27__03(cbool__00,cbool__00,cF__00) = cbool__00 )
    & ( c_27const_2ebool_2eCOND_27__03(cbool__00,cbool__00,c_27const_2ereg__alloc_2eAtemp_27__00) = cbool__00 )
    & ( c_27const_2ebool_2eCOND_27__03(cbool__00,cF__00,cbool__00) = cF__00 )
    & ( c_27const_2ebool_2eCOND_27__03(cbool__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2ebool_2eCOND_27__03(cbool__00,cF__00,c_27const_2ereg__alloc_2eAtemp_27__00) = cF__00 )
    & ( c_27const_2ebool_2eCOND_27__03(cbool__00,c_27const_2ereg__alloc_2eAtemp_27__00,cbool__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( c_27const_2ebool_2eCOND_27__03(cbool__00,c_27const_2ereg__alloc_2eAtemp_27__00,cF__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( c_27const_2ebool_2eCOND_27__03(cbool__00,c_27const_2ereg__alloc_2eAtemp_27__00,c_27const_2ereg__alloc_2eAtemp_27__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( c_27const_2ebool_2eCOND_27__03(cF__00,cbool__00,cbool__00) = cbool__00 )
    & ( c_27const_2ebool_2eCOND_27__03(cF__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2ebool_2eCOND_27__03(cF__00,cbool__00,c_27const_2ereg__alloc_2eAtemp_27__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( c_27const_2ebool_2eCOND_27__03(cF__00,cF__00,cbool__00) = cbool__00 )
    & ( c_27const_2ebool_2eCOND_27__03(cF__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2ebool_2eCOND_27__03(cF__00,cF__00,c_27const_2ereg__alloc_2eAtemp_27__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( c_27const_2ebool_2eCOND_27__03(cF__00,c_27const_2ereg__alloc_2eAtemp_27__00,cbool__00) = cbool__00 )
    & ( c_27const_2ebool_2eCOND_27__03(cF__00,c_27const_2ereg__alloc_2eAtemp_27__00,cF__00) = cF__00 )
    & ( c_27const_2ebool_2eCOND_27__03(cF__00,c_27const_2ereg__alloc_2eAtemp_27__00,c_27const_2ereg__alloc_2eAtemp_27__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( c_27const_2ebool_2eCOND_27__03(c_27const_2ereg__alloc_2eAtemp_27__00,cbool__00,cbool__00) = cbool__00 )
    & ( c_27const_2ebool_2eCOND_27__03(c_27const_2ereg__alloc_2eAtemp_27__00,cbool__00,cF__00) = cbool__00 )
    & ( c_27const_2ebool_2eCOND_27__03(c_27const_2ereg__alloc_2eAtemp_27__00,cbool__00,c_27const_2ereg__alloc_2eAtemp_27__00) = cbool__00 )
    & ( c_27const_2ebool_2eCOND_27__03(c_27const_2ereg__alloc_2eAtemp_27__00,cF__00,cbool__00) = cF__00 )
    & ( c_27const_2ebool_2eCOND_27__03(c_27const_2ereg__alloc_2eAtemp_27__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2ebool_2eCOND_27__03(c_27const_2ereg__alloc_2eAtemp_27__00,cF__00,c_27const_2ereg__alloc_2eAtemp_27__00) = cF__00 )
    & ( c_27const_2ebool_2eCOND_27__03(c_27const_2ereg__alloc_2eAtemp_27__00,c_27const_2ereg__alloc_2eAtemp_27__00,cbool__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( c_27const_2ebool_2eCOND_27__03(c_27const_2ereg__alloc_2eAtemp_27__00,c_27const_2ereg__alloc_2eAtemp_27__00,cF__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( c_27const_2ebool_2eCOND_27__03(c_27const_2ereg__alloc_2eAtemp_27__00,c_27const_2ereg__alloc_2eAtemp_27__00,c_27const_2ereg__alloc_2eAtemp_27__00) = c_27const_2ereg__alloc_2eAtemp_27__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) = cF__00 )
    & ( c_27type_2epair_2eprod_27__02(cbool__00,cF__00) = cF__00 )
    & ( c_27type_2epair_2eprod_27__02(cbool__00,c_27const_2ereg__alloc_2eAtemp_27__00) = cF__00 )
    & ( c_27type_2epair_2eprod_27__02(cF__00,cbool__00) = cF__00 )
    & ( c_27type_2epair_2eprod_27__02(cF__00,cF__00) = cF__00 )
    & ( c_27type_2epair_2eprod_27__02(cF__00,c_27const_2ereg__alloc_2eAtemp_27__00) = cF__00 )
    & ( c_27type_2epair_2eprod_27__02(c_27const_2ereg__alloc_2eAtemp_27__00,cbool__00) = cF__00 )
    & ( c_27type_2epair_2eprod_27__02(c_27const_2ereg__alloc_2eAtemp_27__00,cF__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( c_27type_2epair_2eprod_27__02(c_27const_2ereg__alloc_2eAtemp_27__00,c_27const_2ereg__alloc_2eAtemp_27__00) = cF__00 ) ) ).

tff(declare_c_27const_2epair_2e_2c_27__02,type,
    c_27const_2epair_2e_2c_27__02: ( $i * $i ) > $i ).

tff(function_c_27const_2epair_2e_2c_27__02,axiom,
    ( ( c_27const_2epair_2e_2c_27__02(cbool__00,cbool__00) = cF__00 )
    & ( c_27const_2epair_2e_2c_27__02(cbool__00,cF__00) = cF__00 )
    & ( c_27const_2epair_2e_2c_27__02(cbool__00,c_27const_2ereg__alloc_2eAtemp_27__00) = cF__00 )
    & ( c_27const_2epair_2e_2c_27__02(cF__00,cbool__00) = cbool__00 )
    & ( c_27const_2epair_2e_2c_27__02(cF__00,cF__00) = cbool__00 )
    & ( c_27const_2epair_2e_2c_27__02(cF__00,c_27const_2ereg__alloc_2eAtemp_27__00) = cbool__00 )
    & ( c_27const_2epair_2e_2c_27__02(c_27const_2ereg__alloc_2eAtemp_27__00,cbool__00) = cbool__00 )
    & ( c_27const_2epair_2e_2c_27__02(c_27const_2ereg__alloc_2eAtemp_27__00,cF__00) = cbool__00 )
    & ( c_27const_2epair_2e_2c_27__02(c_27const_2ereg__alloc_2eAtemp_27__00,c_27const_2ereg__alloc_2eAtemp_27__00) = cbool__00 ) ) ).

tff(declare_c_27const_2epair_2epair__CASE_27__02,type,
    c_27const_2epair_2epair__CASE_27__02: ( $i * $i ) > $i ).

tff(function_c_27const_2epair_2epair__CASE_27__02,axiom,
    ( ( c_27const_2epair_2epair__CASE_27__02(cbool__00,cbool__00) = cbool__00 )
    & ( c_27const_2epair_2epair__CASE_27__02(cbool__00,cF__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( c_27const_2epair_2epair__CASE_27__02(cbool__00,c_27const_2ereg__alloc_2eAtemp_27__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( c_27const_2epair_2epair__CASE_27__02(cF__00,cbool__00) = cbool__00 )
    & ( c_27const_2epair_2epair__CASE_27__02(cF__00,cF__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( c_27const_2epair_2epair__CASE_27__02(cF__00,c_27const_2ereg__alloc_2eAtemp_27__00) = cbool__00 )
    & ( c_27const_2epair_2epair__CASE_27__02(c_27const_2ereg__alloc_2eAtemp_27__00,cbool__00) = cbool__00 )
    & ( c_27const_2epair_2epair__CASE_27__02(c_27const_2ereg__alloc_2eAtemp_27__00,cF__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( c_27const_2epair_2epair__CASE_27__02(c_27const_2ereg__alloc_2eAtemp_27__00,c_27const_2ereg__alloc_2eAtemp_27__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) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( c_27type_2elist_2elist_27__01(cF__00) = cbool__00 )
    & ( c_27type_2elist_2elist_27__01(c_27const_2ereg__alloc_2eAtemp_27__00) = cbool__00 ) ) ).

tff(declare_c_27const_2elist_2eLENGTH_27__01,type,
    c_27const_2elist_2eLENGTH_27__01: $i > $i ).

tff(function_c_27const_2elist_2eLENGTH_27__01,axiom,
    ( ( c_27const_2elist_2eLENGTH_27__01(cbool__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( c_27const_2elist_2eLENGTH_27__01(cF__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( c_27const_2elist_2eLENGTH_27__01(c_27const_2ereg__alloc_2eAtemp_27__00) = c_27const_2ereg__alloc_2eAtemp_27__00 ) ) ).

tff(declare_c_27const_2eprim__rec_2e_3c_27__02,type,
    c_27const_2eprim__rec_2e_3c_27__02: ( $i * $i ) > $i ).

tff(function_c_27const_2eprim__rec_2e_3c_27__02,axiom,
    ( ( c_27const_2eprim__rec_2e_3c_27__02(cbool__00,cbool__00) = cF__00 )
    & ( c_27const_2eprim__rec_2e_3c_27__02(cbool__00,cF__00) = cF__00 )
    & ( c_27const_2eprim__rec_2e_3c_27__02(cbool__00,c_27const_2ereg__alloc_2eAtemp_27__00) = cF__00 )
    & ( c_27const_2eprim__rec_2e_3c_27__02(cF__00,cbool__00) = cF__00 )
    & ( c_27const_2eprim__rec_2e_3c_27__02(cF__00,cF__00) = cF__00 )
    & ( c_27const_2eprim__rec_2e_3c_27__02(cF__00,c_27const_2ereg__alloc_2eAtemp_27__00) = cF__00 )
    & ( c_27const_2eprim__rec_2e_3c_27__02(c_27const_2ereg__alloc_2eAtemp_27__00,cbool__00) = cF__00 )
    & ( c_27const_2eprim__rec_2e_3c_27__02(c_27const_2ereg__alloc_2eAtemp_27__00,cF__00) = cF__00 )
    & ( c_27const_2eprim__rec_2e_3c_27__02(c_27const_2ereg__alloc_2eAtemp_27__00,c_27const_2ereg__alloc_2eAtemp_27__00) = cF__00 ) ) ).

tff(declare_c_27const_2elist_2eLUPDATE_27__03,type,
    c_27const_2elist_2eLUPDATE_27__03: ( $i * $i * $i ) > $i ).

tff(function_c_27const_2elist_2eLUPDATE_27__03,axiom,
    ( ( c_27const_2elist_2eLUPDATE_27__03(cbool__00,cbool__00,cbool__00) = cF__00 )
    & ( c_27const_2elist_2eLUPDATE_27__03(cbool__00,cbool__00,cF__00) = cbool__00 )
    & ( c_27const_2elist_2eLUPDATE_27__03(cbool__00,cbool__00,c_27const_2ereg__alloc_2eAtemp_27__00) = cbool__00 )
    & ( c_27const_2elist_2eLUPDATE_27__03(cbool__00,cF__00,cbool__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( c_27const_2elist_2eLUPDATE_27__03(cbool__00,cF__00,cF__00) = cbool__00 )
    & ( c_27const_2elist_2eLUPDATE_27__03(cbool__00,cF__00,c_27const_2ereg__alloc_2eAtemp_27__00) = cbool__00 )
    & ( c_27const_2elist_2eLUPDATE_27__03(cbool__00,c_27const_2ereg__alloc_2eAtemp_27__00,cbool__00) = cbool__00 )
    & ( c_27const_2elist_2eLUPDATE_27__03(cbool__00,c_27const_2ereg__alloc_2eAtemp_27__00,cF__00) = cbool__00 )
    & ( c_27const_2elist_2eLUPDATE_27__03(cbool__00,c_27const_2ereg__alloc_2eAtemp_27__00,c_27const_2ereg__alloc_2eAtemp_27__00) = cbool__00 )
    & ( c_27const_2elist_2eLUPDATE_27__03(cF__00,cbool__00,cbool__00) = cbool__00 )
    & ( c_27const_2elist_2eLUPDATE_27__03(cF__00,cbool__00,cF__00) = cbool__00 )
    & ( c_27const_2elist_2eLUPDATE_27__03(cF__00,cbool__00,c_27const_2ereg__alloc_2eAtemp_27__00) = cbool__00 )
    & ( c_27const_2elist_2eLUPDATE_27__03(cF__00,cF__00,cbool__00) = cbool__00 )
    & ( c_27const_2elist_2eLUPDATE_27__03(cF__00,cF__00,cF__00) = cbool__00 )
    & ( c_27const_2elist_2eLUPDATE_27__03(cF__00,cF__00,c_27const_2ereg__alloc_2eAtemp_27__00) = cbool__00 )
    & ( c_27const_2elist_2eLUPDATE_27__03(cF__00,c_27const_2ereg__alloc_2eAtemp_27__00,cbool__00) = cbool__00 )
    & ( c_27const_2elist_2eLUPDATE_27__03(cF__00,c_27const_2ereg__alloc_2eAtemp_27__00,cF__00) = cbool__00 )
    & ( c_27const_2elist_2eLUPDATE_27__03(cF__00,c_27const_2ereg__alloc_2eAtemp_27__00,c_27const_2ereg__alloc_2eAtemp_27__00) = cbool__00 )
    & ( c_27const_2elist_2eLUPDATE_27__03(c_27const_2ereg__alloc_2eAtemp_27__00,cbool__00,cbool__00) = cbool__00 )
    & ( c_27const_2elist_2eLUPDATE_27__03(c_27const_2ereg__alloc_2eAtemp_27__00,cbool__00,cF__00) = cbool__00 )
    & ( c_27const_2elist_2eLUPDATE_27__03(c_27const_2ereg__alloc_2eAtemp_27__00,cbool__00,c_27const_2ereg__alloc_2eAtemp_27__00) = cbool__00 )
    & ( c_27const_2elist_2eLUPDATE_27__03(c_27const_2ereg__alloc_2eAtemp_27__00,cF__00,cbool__00) = cbool__00 )
    & ( c_27const_2elist_2eLUPDATE_27__03(c_27const_2ereg__alloc_2eAtemp_27__00,cF__00,cF__00) = cbool__00 )
    & ( c_27const_2elist_2eLUPDATE_27__03(c_27const_2ereg__alloc_2eAtemp_27__00,cF__00,c_27const_2ereg__alloc_2eAtemp_27__00) = cbool__00 )
    & ( c_27const_2elist_2eLUPDATE_27__03(c_27const_2ereg__alloc_2eAtemp_27__00,c_27const_2ereg__alloc_2eAtemp_27__00,cbool__00) = cbool__00 )
    & ( c_27const_2elist_2eLUPDATE_27__03(c_27const_2ereg__alloc_2eAtemp_27__00,c_27const_2ereg__alloc_2eAtemp_27__00,cF__00) = cbool__00 )
    & ( c_27const_2elist_2eLUPDATE_27__03(c_27const_2ereg__alloc_2eAtemp_27__00,c_27const_2ereg__alloc_2eAtemp_27__00,c_27const_2ereg__alloc_2eAtemp_27__00) = cbool__00 ) ) ).

tff(declare_c_27const_2elist_2eEL_27__02,type,
    c_27const_2elist_2eEL_27__02: ( $i * $i ) > $i ).

tff(function_c_27const_2elist_2eEL_27__02,axiom,
    ( ( c_27const_2elist_2eEL_27__02(cbool__00,cbool__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( c_27const_2elist_2eEL_27__02(cbool__00,cF__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( c_27const_2elist_2eEL_27__02(cbool__00,c_27const_2ereg__alloc_2eAtemp_27__00) = cbool__00 )
    & ( c_27const_2elist_2eEL_27__02(cF__00,cbool__00) = cF__00 )
    & ( c_27const_2elist_2eEL_27__02(cF__00,cF__00) = cF__00 )
    & ( c_27const_2elist_2eEL_27__02(cF__00,c_27const_2ereg__alloc_2eAtemp_27__00) = cF__00 )
    & ( c_27const_2elist_2eEL_27__02(c_27const_2ereg__alloc_2eAtemp_27__00,cbool__00) = cF__00 )
    & ( c_27const_2elist_2eEL_27__02(c_27const_2ereg__alloc_2eAtemp_27__00,cF__00) = cF__00 )
    & ( c_27const_2elist_2eEL_27__02(c_27const_2ereg__alloc_2eAtemp_27__00,c_27const_2ereg__alloc_2eAtemp_27__00) = cF__00 ) ) ).

tff(declare_c_27const_2ereg__alloc_2eFixed_27__01,type,
    c_27const_2ereg__alloc_2eFixed_27__01: $i > $i ).

tff(function_c_27const_2ereg__alloc_2eFixed_27__01,axiom,
    ( ( c_27const_2ereg__alloc_2eFixed_27__01(cbool__00) = cF__00 )
    & ( c_27const_2ereg__alloc_2eFixed_27__01(cF__00) = cF__00 )
    & ( c_27const_2ereg__alloc_2eFixed_27__01(c_27const_2ereg__alloc_2eAtemp_27__00) = cF__00 ) ) ).

tff(declare_c_27const_2ereg__alloc_2etag__CASE_27__04,type,
    c_27const_2ereg__alloc_2etag__CASE_27__04: ( $i * $i * $i * $i ) > $i ).

tff(function_c_27const_2ereg__alloc_2etag__CASE_27__04,axiom,
    ( ( c_27const_2ereg__alloc_2etag__CASE_27__04(cbool__00,cbool__00,cbool__00,cbool__00) = cbool__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(cbool__00,cbool__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(cbool__00,cbool__00,cbool__00,c_27const_2ereg__alloc_2eAtemp_27__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(cbool__00,cbool__00,cF__00,cbool__00) = cbool__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(cbool__00,cbool__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(cbool__00,cbool__00,cF__00,c_27const_2ereg__alloc_2eAtemp_27__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(cbool__00,cbool__00,c_27const_2ereg__alloc_2eAtemp_27__00,cbool__00) = cbool__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(cbool__00,cbool__00,c_27const_2ereg__alloc_2eAtemp_27__00,cF__00) = cF__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(cbool__00,cbool__00,c_27const_2ereg__alloc_2eAtemp_27__00,c_27const_2ereg__alloc_2eAtemp_27__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(cbool__00,cF__00,cbool__00,cbool__00) = cbool__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(cbool__00,cF__00,cbool__00,cF__00) = cF__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(cbool__00,cF__00,cbool__00,c_27const_2ereg__alloc_2eAtemp_27__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(cbool__00,cF__00,cF__00,cbool__00) = cbool__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(cbool__00,cF__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(cbool__00,cF__00,cF__00,c_27const_2ereg__alloc_2eAtemp_27__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(cbool__00,cF__00,c_27const_2ereg__alloc_2eAtemp_27__00,cbool__00) = cbool__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(cbool__00,cF__00,c_27const_2ereg__alloc_2eAtemp_27__00,cF__00) = cF__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(cbool__00,cF__00,c_27const_2ereg__alloc_2eAtemp_27__00,c_27const_2ereg__alloc_2eAtemp_27__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(cbool__00,c_27const_2ereg__alloc_2eAtemp_27__00,cbool__00,cbool__00) = cbool__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(cbool__00,c_27const_2ereg__alloc_2eAtemp_27__00,cbool__00,cF__00) = cbool__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(cbool__00,c_27const_2ereg__alloc_2eAtemp_27__00,cbool__00,c_27const_2ereg__alloc_2eAtemp_27__00) = cbool__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(cbool__00,c_27const_2ereg__alloc_2eAtemp_27__00,cF__00,cbool__00) = cbool__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(cbool__00,c_27const_2ereg__alloc_2eAtemp_27__00,cF__00,cF__00) = cbool__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(cbool__00,c_27const_2ereg__alloc_2eAtemp_27__00,cF__00,c_27const_2ereg__alloc_2eAtemp_27__00) = cbool__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(cbool__00,c_27const_2ereg__alloc_2eAtemp_27__00,c_27const_2ereg__alloc_2eAtemp_27__00,cbool__00) = cbool__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(cbool__00,c_27const_2ereg__alloc_2eAtemp_27__00,c_27const_2ereg__alloc_2eAtemp_27__00,cF__00) = cbool__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(cbool__00,c_27const_2ereg__alloc_2eAtemp_27__00,c_27const_2ereg__alloc_2eAtemp_27__00,c_27const_2ereg__alloc_2eAtemp_27__00) = cbool__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(cF__00,cbool__00,cbool__00,cbool__00) = cbool__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(cF__00,cbool__00,cbool__00,cF__00) = cbool__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(cF__00,cbool__00,cbool__00,c_27const_2ereg__alloc_2eAtemp_27__00) = cbool__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(cF__00,cbool__00,cF__00,cbool__00) = cbool__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(cF__00,cbool__00,cF__00,cF__00) = cbool__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(cF__00,cbool__00,cF__00,c_27const_2ereg__alloc_2eAtemp_27__00) = cbool__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(cF__00,cbool__00,c_27const_2ereg__alloc_2eAtemp_27__00,cbool__00) = cbool__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(cF__00,cbool__00,c_27const_2ereg__alloc_2eAtemp_27__00,cF__00) = cbool__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(cF__00,cbool__00,c_27const_2ereg__alloc_2eAtemp_27__00,c_27const_2ereg__alloc_2eAtemp_27__00) = cbool__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(cF__00,cF__00,cbool__00,cbool__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(cF__00,cF__00,cbool__00,cF__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(cF__00,cF__00,cbool__00,c_27const_2ereg__alloc_2eAtemp_27__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(cF__00,cF__00,cF__00,cbool__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(cF__00,cF__00,cF__00,cF__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(cF__00,cF__00,cF__00,c_27const_2ereg__alloc_2eAtemp_27__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(cF__00,cF__00,c_27const_2ereg__alloc_2eAtemp_27__00,cbool__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(cF__00,cF__00,c_27const_2ereg__alloc_2eAtemp_27__00,cF__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(cF__00,cF__00,c_27const_2ereg__alloc_2eAtemp_27__00,c_27const_2ereg__alloc_2eAtemp_27__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(cF__00,c_27const_2ereg__alloc_2eAtemp_27__00,cbool__00,cbool__00) = cbool__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(cF__00,c_27const_2ereg__alloc_2eAtemp_27__00,cbool__00,cF__00) = cbool__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(cF__00,c_27const_2ereg__alloc_2eAtemp_27__00,cbool__00,c_27const_2ereg__alloc_2eAtemp_27__00) = cbool__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(cF__00,c_27const_2ereg__alloc_2eAtemp_27__00,cF__00,cbool__00) = cbool__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(cF__00,c_27const_2ereg__alloc_2eAtemp_27__00,cF__00,cF__00) = cbool__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(cF__00,c_27const_2ereg__alloc_2eAtemp_27__00,cF__00,c_27const_2ereg__alloc_2eAtemp_27__00) = cbool__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(cF__00,c_27const_2ereg__alloc_2eAtemp_27__00,c_27const_2ereg__alloc_2eAtemp_27__00,cbool__00) = cbool__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(cF__00,c_27const_2ereg__alloc_2eAtemp_27__00,c_27const_2ereg__alloc_2eAtemp_27__00,cF__00) = cbool__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(cF__00,c_27const_2ereg__alloc_2eAtemp_27__00,c_27const_2ereg__alloc_2eAtemp_27__00,c_27const_2ereg__alloc_2eAtemp_27__00) = cbool__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(c_27const_2ereg__alloc_2eAtemp_27__00,cbool__00,cbool__00,cbool__00) = cbool__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(c_27const_2ereg__alloc_2eAtemp_27__00,cbool__00,cbool__00,cF__00) = cbool__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(c_27const_2ereg__alloc_2eAtemp_27__00,cbool__00,cbool__00,c_27const_2ereg__alloc_2eAtemp_27__00) = cbool__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(c_27const_2ereg__alloc_2eAtemp_27__00,cbool__00,cF__00,cbool__00) = cF__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(c_27const_2ereg__alloc_2eAtemp_27__00,cbool__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(c_27const_2ereg__alloc_2eAtemp_27__00,cbool__00,cF__00,c_27const_2ereg__alloc_2eAtemp_27__00) = cF__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(c_27const_2ereg__alloc_2eAtemp_27__00,cbool__00,c_27const_2ereg__alloc_2eAtemp_27__00,cbool__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(c_27const_2ereg__alloc_2eAtemp_27__00,cbool__00,c_27const_2ereg__alloc_2eAtemp_27__00,cF__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(c_27const_2ereg__alloc_2eAtemp_27__00,cbool__00,c_27const_2ereg__alloc_2eAtemp_27__00,c_27const_2ereg__alloc_2eAtemp_27__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(c_27const_2ereg__alloc_2eAtemp_27__00,cF__00,cbool__00,cbool__00) = cbool__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(c_27const_2ereg__alloc_2eAtemp_27__00,cF__00,cbool__00,cF__00) = cbool__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(c_27const_2ereg__alloc_2eAtemp_27__00,cF__00,cbool__00,c_27const_2ereg__alloc_2eAtemp_27__00) = cbool__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(c_27const_2ereg__alloc_2eAtemp_27__00,cF__00,cF__00,cbool__00) = cF__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(c_27const_2ereg__alloc_2eAtemp_27__00,cF__00,cF__00,cF__00) = cF__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(c_27const_2ereg__alloc_2eAtemp_27__00,cF__00,cF__00,c_27const_2ereg__alloc_2eAtemp_27__00) = cF__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(c_27const_2ereg__alloc_2eAtemp_27__00,cF__00,c_27const_2ereg__alloc_2eAtemp_27__00,cbool__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(c_27const_2ereg__alloc_2eAtemp_27__00,cF__00,c_27const_2ereg__alloc_2eAtemp_27__00,cF__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(c_27const_2ereg__alloc_2eAtemp_27__00,cF__00,c_27const_2ereg__alloc_2eAtemp_27__00,c_27const_2ereg__alloc_2eAtemp_27__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(c_27const_2ereg__alloc_2eAtemp_27__00,c_27const_2ereg__alloc_2eAtemp_27__00,cbool__00,cbool__00) = cbool__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(c_27const_2ereg__alloc_2eAtemp_27__00,c_27const_2ereg__alloc_2eAtemp_27__00,cbool__00,cF__00) = cbool__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(c_27const_2ereg__alloc_2eAtemp_27__00,c_27const_2ereg__alloc_2eAtemp_27__00,cbool__00,c_27const_2ereg__alloc_2eAtemp_27__00) = cbool__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(c_27const_2ereg__alloc_2eAtemp_27__00,c_27const_2ereg__alloc_2eAtemp_27__00,cF__00,cbool__00) = cbool__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(c_27const_2ereg__alloc_2eAtemp_27__00,c_27const_2ereg__alloc_2eAtemp_27__00,cF__00,cF__00) = cbool__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(c_27const_2ereg__alloc_2eAtemp_27__00,c_27const_2ereg__alloc_2eAtemp_27__00,cF__00,c_27const_2ereg__alloc_2eAtemp_27__00) = cbool__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(c_27const_2ereg__alloc_2eAtemp_27__00,c_27const_2ereg__alloc_2eAtemp_27__00,c_27const_2ereg__alloc_2eAtemp_27__00,cbool__00) = cbool__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(c_27const_2ereg__alloc_2eAtemp_27__00,c_27const_2ereg__alloc_2eAtemp_27__00,c_27const_2ereg__alloc_2eAtemp_27__00,cF__00) = cbool__00 )
    & ( c_27const_2ereg__alloc_2etag__CASE_27__04(c_27const_2ereg__alloc_2eAtemp_27__00,c_27const_2ereg__alloc_2eAtemp_27__00,c_27const_2ereg__alloc_2eAtemp_27__00,c_27const_2ereg__alloc_2eAtemp_27__00) = cbool__00 ) ) ).

tff(declare_c_27const_2ereg__allocProof_2eno__clash_27__02,type,
    c_27const_2ereg__allocProof_2eno__clash_27__02: ( $i * $i ) > $i ).

tff(function_c_27const_2ereg__allocProof_2eno__clash_27__02,axiom,
    ( ( c_27const_2ereg__allocProof_2eno__clash_27__02(cbool__00,cbool__00) = cbool__00 )
    & ( c_27const_2ereg__allocProof_2eno__clash_27__02(cbool__00,cF__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( c_27const_2ereg__allocProof_2eno__clash_27__02(cbool__00,c_27const_2ereg__alloc_2eAtemp_27__00) = cbool__00 )
    & ( c_27const_2ereg__allocProof_2eno__clash_27__02(cF__00,cbool__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( c_27const_2ereg__allocProof_2eno__clash_27__02(cF__00,cF__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( c_27const_2ereg__allocProof_2eno__clash_27__02(cF__00,c_27const_2ereg__alloc_2eAtemp_27__00) = cF__00 )
    & ( c_27const_2ereg__allocProof_2eno__clash_27__02(c_27const_2ereg__alloc_2eAtemp_27__00,cbool__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( c_27const_2ereg__allocProof_2eno__clash_27__02(c_27const_2ereg__alloc_2eAtemp_27__00,cF__00) = cbool__00 )
    & ( c_27const_2ereg__allocProof_2eno__clash_27__02(c_27const_2ereg__alloc_2eAtemp_27__00,c_27const_2ereg__alloc_2eAtemp_27__00) = c_27const_2ereg__alloc_2eAtemp_27__00 ) ) ).

tff(declare_c_27const_2ereg__allocProof_2ehas__edge_27__03,type,
    c_27const_2ereg__allocProof_2ehas__edge_27__03: ( $i * $i * $i ) > $i ).

tff(function_c_27const_2ereg__allocProof_2ehas__edge_27__03,axiom,
    ( ( c_27const_2ereg__allocProof_2ehas__edge_27__03(cbool__00,cbool__00,cbool__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( c_27const_2ereg__allocProof_2ehas__edge_27__03(cbool__00,cbool__00,cF__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( c_27const_2ereg__allocProof_2ehas__edge_27__03(cbool__00,cbool__00,c_27const_2ereg__alloc_2eAtemp_27__00) = cbool__00 )
    & ( c_27const_2ereg__allocProof_2ehas__edge_27__03(cbool__00,cF__00,cbool__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( c_27const_2ereg__allocProof_2ehas__edge_27__03(cbool__00,cF__00,cF__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( c_27const_2ereg__allocProof_2ehas__edge_27__03(cbool__00,cF__00,c_27const_2ereg__alloc_2eAtemp_27__00) = cbool__00 )
    & ( c_27const_2ereg__allocProof_2ehas__edge_27__03(cbool__00,c_27const_2ereg__alloc_2eAtemp_27__00,cbool__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( c_27const_2ereg__allocProof_2ehas__edge_27__03(cbool__00,c_27const_2ereg__alloc_2eAtemp_27__00,cF__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( c_27const_2ereg__allocProof_2ehas__edge_27__03(cbool__00,c_27const_2ereg__alloc_2eAtemp_27__00,c_27const_2ereg__alloc_2eAtemp_27__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( c_27const_2ereg__allocProof_2ehas__edge_27__03(cF__00,cbool__00,cbool__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( c_27const_2ereg__allocProof_2ehas__edge_27__03(cF__00,cbool__00,cF__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( c_27const_2ereg__allocProof_2ehas__edge_27__03(cF__00,cbool__00,c_27const_2ereg__alloc_2eAtemp_27__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( c_27const_2ereg__allocProof_2ehas__edge_27__03(cF__00,cF__00,cbool__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( c_27const_2ereg__allocProof_2ehas__edge_27__03(cF__00,cF__00,cF__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( c_27const_2ereg__allocProof_2ehas__edge_27__03(cF__00,cF__00,c_27const_2ereg__alloc_2eAtemp_27__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( c_27const_2ereg__allocProof_2ehas__edge_27__03(cF__00,c_27const_2ereg__alloc_2eAtemp_27__00,cbool__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( c_27const_2ereg__allocProof_2ehas__edge_27__03(cF__00,c_27const_2ereg__alloc_2eAtemp_27__00,cF__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( c_27const_2ereg__allocProof_2ehas__edge_27__03(cF__00,c_27const_2ereg__alloc_2eAtemp_27__00,c_27const_2ereg__alloc_2eAtemp_27__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( c_27const_2ereg__allocProof_2ehas__edge_27__03(c_27const_2ereg__alloc_2eAtemp_27__00,cbool__00,cbool__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( c_27const_2ereg__allocProof_2ehas__edge_27__03(c_27const_2ereg__alloc_2eAtemp_27__00,cbool__00,cF__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( c_27const_2ereg__allocProof_2ehas__edge_27__03(c_27const_2ereg__alloc_2eAtemp_27__00,cbool__00,c_27const_2ereg__alloc_2eAtemp_27__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( c_27const_2ereg__allocProof_2ehas__edge_27__03(c_27const_2ereg__alloc_2eAtemp_27__00,cF__00,cbool__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( c_27const_2ereg__allocProof_2ehas__edge_27__03(c_27const_2ereg__alloc_2eAtemp_27__00,cF__00,cF__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( c_27const_2ereg__allocProof_2ehas__edge_27__03(c_27const_2ereg__alloc_2eAtemp_27__00,cF__00,c_27const_2ereg__alloc_2eAtemp_27__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( c_27const_2ereg__allocProof_2ehas__edge_27__03(c_27const_2ereg__alloc_2eAtemp_27__00,c_27const_2ereg__alloc_2eAtemp_27__00,cbool__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( c_27const_2ereg__allocProof_2ehas__edge_27__03(c_27const_2ereg__alloc_2eAtemp_27__00,c_27const_2ereg__alloc_2eAtemp_27__00,cF__00) = c_27const_2ereg__alloc_2eAtemp_27__00 )
    & ( c_27const_2ereg__allocProof_2ehas__edge_27__03(c_27const_2ereg__alloc_2eAtemp_27__00,c_27const_2ereg__alloc_2eAtemp_27__00,c_27const_2ereg__alloc_2eAtemp_27__00) = c_27const_2ereg__alloc_2eAtemp_27__00 ) ) ).

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

tff(predicate_p__01,axiom,
    ( p__01(cbool__00)
    & ~ p__01(cF__00)
    & p__01(c_27const_2ereg__alloc_2eAtemp_27__00) ) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : SWW863+1 : TPTP v8.2.0. Released v7.3.0.
% 0.00/0.09  % Command    : run_vampire %s %d SAT
% 0.09/0.29  % Computer : n032.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit   : 300
% 0.09/0.29  % WCLimit    : 300
% 0.09/0.29  % DateTime   : Wed Jun 19 09:14:08 EDT 2024
% 0.09/0.29  % CPUTime    : 
% 0.15/0.30  This is a FOF_CSA_RFO_SEQ problem
% 0.15/0.30  Running first-order model finding
% 0.15/0.30  Running /export/starexec/sandbox/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.37  % (16474)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.37  % (16476)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 (2999ds/99418Mi)
% 0.16/0.37  % (16474)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.37  % (16479)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (2999ds/104Mi)
% 0.16/0.37  % (16474)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.37  % (16475)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (2999ds/98885Mi)
% 0.16/0.37  % (16474)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.37  % (16481)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 (2999ds/115Mi)
% 0.16/0.37  % (16474)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.37  % (16480)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 (2999ds/146Mi)
% 0.16/0.37  % (16474)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.37  % (16478)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 (2999ds/152523Mi)
% 0.16/0.37  % (16474)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.37  % (16477)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (2999ds/214858Mi)
% 0.16/0.42  % (16479)Instruction limit reached!
% 0.16/0.42  % (16479)------------------------------
% 0.16/0.42  % (16479)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.16/0.42  % (16479)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.16/0.42  % (16479)Termination reason: Time limit
% 0.16/0.42  % (16479)Termination phase: Saturation
% 0.16/0.42  
% 0.16/0.42  % (16479)Memory used [KB]: 1540
% 0.16/0.42  % (16479)Time elapsed: 0.052 s
% 0.16/0.42  % (16479)Instructions burned: 104 (million)
% 0.16/0.43  % (16481)Instruction limit reached!
% 0.16/0.43  % (16481)------------------------------
% 0.16/0.43  % (16481)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.16/0.43  % (16481)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.16/0.43  % (16481)Termination reason: Time limit
% 0.16/0.43  % (16481)Termination phase: Saturation
% 0.16/0.43  
% 0.16/0.43  % (16481)Memory used [KB]: 1133
% 0.16/0.43  % (16481)Time elapsed: 0.058 s
% 0.16/0.43  % (16481)Instructions burned: 115 (million)
% 0.16/0.44  % (16480)Instruction limit reached!
% 0.16/0.44  % (16480)------------------------------
% 0.16/0.44  % (16480)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.16/0.44  % (16480)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.16/0.44  % (16480)Termination reason: Time limit
% 0.16/0.44  % (16480)Termination phase: Saturation
% 0.16/0.44  
% 0.16/0.44  % (16480)Memory used [KB]: 1241
% 0.16/0.44  % (16480)Time elapsed: 0.068 s
% 0.16/0.44  % (16480)Instructions burned: 147 (million)
% 0.16/0.48  % (16474)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.48  % (16482)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)
% 0.16/0.48  % (16474)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.48  % (16483)ott-21_1:1_sil=4000:sp=const_frequency:i=175:fsr=off:fs=off:av=off_0 on theBenchmark for (2998ds/175Mi)
% 0.16/0.49  % (16474)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.49  % (16484)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)
% 0.16/0.56  % (16483)Instruction limit reached!
% 0.16/0.56  % (16483)------------------------------
% 0.16/0.56  % (16483)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.16/0.56  % (16483)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.16/0.56  % (16483)Termination reason: Time limit
% 0.16/0.56  % (16483)Termination phase: Saturation
% 0.16/0.56  
% 0.16/0.56  % (16483)Memory used [KB]: 2488
% 0.16/0.56  % (16483)Time elapsed: 0.084 s
% 0.16/0.56  % (16483)Instructions burned: 175 (million)
% 2.07/0.62  % (16484)Instruction limit reached!
% 2.07/0.62  % (16484)------------------------------
% 2.07/0.62  % (16484)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.07/0.62  % (16484)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.07/0.62  % (16484)Termination reason: Time limit
% 2.07/0.62  % (16484)Termination phase: Saturation
% 2.07/0.62  
% 2.07/0.62  % (16484)Memory used [KB]: 3591
% 2.07/0.62  % (16484)Time elapsed: 0.129 s
% 2.07/0.62  % (16484)Instructions burned: 271 (million)
% 2.07/0.62  % (16474)Running in auto input_syntax mode. Trying TPTP
% 2.07/0.62  % (16485)ott+4_1:1_sil=2000:i=900:bd=off:fsr=off_0 on theBenchmark for (2997ds/900Mi)
% 2.40/0.65  % (16482)Instruction limit reached!
% 2.40/0.65  % (16482)------------------------------
% 2.40/0.65  % (16482)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.40/0.65  % (16482)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.40/0.65  % (16482)Termination reason: Time limit
% 2.40/0.65  % (16482)Termination phase: Saturation
% 2.40/0.65  
% 2.40/0.65  % (16482)Memory used [KB]: 2445
% 2.40/0.65  % (16482)Time elapsed: 0.180 s
% 2.40/0.65  % (16482)Instructions burned: 405 (million)
% 2.40/0.68  % (16474)Running in auto input_syntax mode. Trying TPTP
% 2.40/0.68  % (16486)fmb+10_1:1_sil=8000:fde=unused:fmbes=contour:i=7859:nm=2:fmbswr=0_0 on theBenchmark for (2997ds/7859Mi)
% 2.40/0.71  % (16474)Running in auto input_syntax mode. Trying TPTP
% 2.40/0.71  % (16487)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 (2996ds/2145Mi)
% 2.74/0.76  TRYING [1]
% 3.00/0.77  TRYING [2]
% 3.00/0.79  TRYING [1]
% 3.00/0.80  TRYING [2]
% 3.42/0.87  TRYING [3]
% 3.42/0.87  TRYING [3]
% 3.92/1.01  % (16485)Instruction limit reached!
% 3.92/1.01  % (16485)------------------------------
% 3.92/1.01  % (16485)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.92/1.01  % (16485)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.92/1.01  % (16485)Termination reason: Time limit
% 3.92/1.01  % (16485)Termination phase: Saturation
% 3.92/1.01  
% 3.92/1.01  % (16485)Memory used [KB]: 3855
% 3.92/1.01  % (16485)Time elapsed: 0.386 s
% 3.92/1.01  % (16485)Instructions burned: 900 (million)
% 4.48/1.07  % (16474)Running in auto input_syntax mode. Trying TPTP
% 4.48/1.07  % (16488)ott-30_1:1024_sil=4000:alpa=true:newcnf=on:i=1187:bs=unit_only:ins=1:amm=off_0 on theBenchmark for (2993ds/1187Mi)
% 7.27/1.38  Finite Model Found!
% 7.27/1.38  % SZS status CounterSatisfiable for theBenchmark
% 7.27/1.38  % (16486)First to succeed.
% 7.27/1.39  % (16486)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-16474"
% 7.27/1.39  % (16474)Running in auto input_syntax mode. Trying TPTP
% 7.27/1.39  % SZS output start FiniteModel for theBenchmark
% See solution above
% 7.27/1.39  % (16486)------------------------------
% 7.27/1.39  % (16486)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.27/1.39  % (16486)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.27/1.39  % (16486)Termination reason: Satisfiable
% 7.27/1.39  
% 7.27/1.39  % (16486)Memory used [KB]: 5978
% 7.27/1.39  % (16486)Time elapsed: 0.727 s
% 7.27/1.39  % (16486)Instructions burned: 1625 (million)
% 7.27/1.39  % (16486)------------------------------
% 7.27/1.39  % (16486)------------------------------
% 7.27/1.39  % (16474)Success in time 1.06 s
%------------------------------------------------------------------------------