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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : NLP004^12 : TPTP v9.3.1. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Sep 30 08:16:20 AM UTC 2026

% Result   : Theorem 11.37s 2.06s
% Output   : Refutation 11.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   82
%            Number of leaves      :   18
% Syntax   : Number of formulae    :  586 (  33 unt;   0 typ;  12 def)
%            Number of atoms       : 25206 (3828 equ;   0 cnn)
%            Maximal formula atoms :  292 (  43 avg)
%            Number of connectives : 42125 ( 909   ~;4009   |;7309   &;29000   @)
%                                         (  12 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   60 (  11 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :  362 ( 362   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   91 (  87 usr;  36 con; 0-4 aty)
%                                         (   0  !!; 872  ??;   0 @@+;   0 @@-)
%            Number of variables   : 2861 (   0 sgn1206   !;   2   ?;2861   :)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    mworld: $tType ).

thf(type_def_6,type,
    sTfun: ( $tType * $tType ) > $tType ).

thf(func_def_0,type,
    mrel: mworld > mworld > $o ).

thf(func_def_1,type,
    mactual: mworld ).

thf(func_def_2,type,
    mlocal: ( mworld > $o ) > $o ).

thf(func_def_4,type,
    mnot: ( mworld > $o ) > mworld > $o ).

thf(func_def_5,type,
    mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).

thf(func_def_6,type,
    mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).

thf(func_def_7,type,
    mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).

thf(func_def_8,type,
    mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).

thf(func_def_9,type,
    mbox: ( mworld > $o ) > mworld > $o ).

thf(func_def_10,type,
    mdia: ( mworld > $o ) > mworld > $o ).

thf(func_def_11,type,
    eiw_di: $i > mworld > $o ).

thf(func_def_12,type,
    mforall_di: ( $i > mworld > $o ) > mworld > $o ).

thf(func_def_13,type,
    mexists_di: ( $i > mworld > $o ) > mworld > $o ).

thf(func_def_14,type,
    chevy: $i > mworld > $o ).

thf(func_def_15,type,
    dirty: $i > mworld > $o ).

thf(func_def_16,type,
    barrel: $i > $i > mworld > $o ).

thf(func_def_17,type,
    hollywood: $i > mworld > $o ).

thf(func_def_18,type,
    city: $i > mworld > $o ).

thf(func_def_19,type,
    in: $i > $i > mworld > $o ).

thf(func_def_20,type,
    young: $i > mworld > $o ).

thf(func_def_21,type,
    old: $i > mworld > $o ).

thf(func_def_22,type,
    down: $i > $i > mworld > $o ).

thf(func_def_23,type,
    way: $i > mworld > $o ).

thf(func_def_24,type,
    qmltpeq: $i > $i > mworld > $o ).

thf(func_def_25,type,
    seat: $i > mworld > $o ).

thf(func_def_26,type,
    white: $i > mworld > $o ).

thf(func_def_27,type,
    car: $i > mworld > $o ).

thf(func_def_28,type,
    furniture: $i > mworld > $o ).

thf(func_def_29,type,
    street: $i > mworld > $o ).

thf(func_def_30,type,
    fellow: $i > mworld > $o ).

thf(func_def_31,type,
    front: $i > mworld > $o ).

thf(func_def_32,type,
    man: $i > mworld > $o ).

thf(func_def_33,type,
    event: $i > mworld > $o ).

thf(func_def_34,type,
    lonely: $i > mworld > $o ).

thf(func_def_35,type,
    vOR: $o > $o > $o ).

thf(func_def_36,type,
    db1: 
      !>[X0: $tType] : X0 ).

thf(func_def_37,type,
    db0: 
      !>[X0: $tType] : X0 ).

thf(func_def_38,type,
    db2: 
      !>[X0: $tType] : X0 ).

thf(func_def_39,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

thf(func_def_40,type,
    vPI: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_43,type,
    vIMP: $o > $o > $o ).

thf(func_def_44,type,
    vSIGMA: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_45,type,
    vAND: $o > $o > $o ).

thf(func_def_46,type,
    vNOT: $o > $o ).

thf(func_def_47,type,
    db9: 
      !>[X0: $tType] : X0 ).

thf(func_def_48,type,
    db8: 
      !>[X0: $tType] : X0 ).

thf(func_def_49,type,
    db7: 
      !>[X0: $tType] : X0 ).

thf(func_def_50,type,
    db6: 
      !>[X0: $tType] : X0 ).

thf(func_def_51,type,
    db5: 
      !>[X0: $tType] : X0 ).

thf(func_def_52,type,
    db4: 
      !>[X0: $tType] : X0 ).

thf(func_def_53,type,
    db3: 
      !>[X0: $tType] : X0 ).

thf(func_def_54,type,
    vIFF: $o > $o > $o ).

thf(func_def_55,type,
    db11: 
      !>[X0: $tType] : X0 ).

thf(func_def_56,type,
    db10: 
      !>[X0: $tType] : X0 ).

thf(f1,axiom,
    ( ( ^ [X0: mworld > $o] : ( X0 @ mactual ) )
    = mlocal ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mlocal_def) ).

thf(f2,axiom,
    ( ( ^ [X0: mworld > $o,X1: mworld] :
          ~ ( X0 @ X1 ) )
    = mnot ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mnot_def) ).

thf(f3,axiom,
    ( ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
          ( ( X1 @ X2 )
          & ( X0 @ X2 ) ) )
    = mand ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mand_def) ).

thf(f5,axiom,
    ( mimplies
    = ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
          ( ( X0 @ X2 )
         => ( X1 @ X2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplies_def) ).

thf(f12,axiom,
    ( ( ^ [X0: $i > mworld > $o,X1: mworld] :
        ? [X2: $i] :
          ( ( X0 @ X2 @ X1 )
          & ( eiw_di @ X2 @ X1 ) ) )
    = mexists_di ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mexists_di_def) ).

thf(f39,conjecture,
    ( mlocal
    @ ( mand
      @ ( mimplies
        @ ( mexists_di
          @ ^ [X0: $i] :
              ( mexists_di
              @ ^ [X1: $i] :
                  ( mexists_di
                  @ ^ [X2: $i] :
                      ( mexists_di
                      @ ^ [X3: $i] :
                          ( mexists_di
                          @ ^ [X4: $i] :
                              ( mexists_di
                              @ ^ [X5: $i] :
                                  ( mexists_di
                                  @ ^ [X6: $i] :
                                      ( mexists_di
                                      @ ^ [X7: $i] :
                                          ( mexists_di
                                          @ ^ [X8: $i] :
                                              ( mexists_di
                                              @ ^ [X9: $i] : ( mand @ ( seat @ X0 ) @ ( mand @ ( furniture @ X0 ) @ ( mand @ ( front @ X0 ) @ ( mand @ ( seat @ X1 ) @ ( mand @ ( furniture @ X1 ) @ ( mand @ ( front @ X1 ) @ ( mand @ ( hollywood @ X2 ) @ ( mand @ ( city @ X2 ) @ ( mand @ ( event @ X3 ) @ ( mand @ ( street @ X4 ) @ ( mand @ ( way @ X4 ) @ ( mand @ ( lonely @ X4 ) @ ( mand @ ( chevy @ X5 ) @ ( mand @ ( car @ X5 ) @ ( mand @ ( white @ X5 ) @ ( mand @ ( dirty @ X5 ) @ ( mand @ ( old @ X5 ) @ ( mand @ ( barrel @ X3 @ X5 ) @ ( mand @ ( down @ X3 @ X4 ) @ ( mand @ ( in @ X3 @ X2 ) @ ( mand @ ( mnot @ ( qmltpeq @ X6 @ X7 ) ) @ ( mand @ ( fellow @ X6 ) @ ( mand @ ( man @ X6 ) @ ( mand @ ( young @ X6 ) @ ( mand @ ( fellow @ X7 ) @ ( mand @ ( man @ X7 ) @ ( mand @ ( young @ X7 ) @ ( mand @ ( qmltpeq @ X6 @ X8 ) @ ( mand @ ( in @ X8 @ X0 ) @ ( mand @ ( qmltpeq @ X7 @ X9 ) @ ( in @ X9 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
        @ ( mexists_di
          @ ^ [X10: $i] :
              ( mexists_di
              @ ^ [X11: $i] :
                  ( mexists_di
                  @ ^ [X12: $i] :
                      ( mexists_di
                      @ ^ [X13: $i] :
                          ( mexists_di
                          @ ^ [X14: $i] :
                              ( mexists_di
                              @ ^ [X15: $i] :
                                  ( mexists_di
                                  @ ^ [X16: $i] :
                                      ( mexists_di
                                      @ ^ [X17: $i] :
                                          ( mexists_di
                                          @ ^ [X18: $i] :
                                              ( mexists_di
                                              @ ^ [X19: $i] : ( mand @ ( seat @ X10 ) @ ( mand @ ( furniture @ X10 ) @ ( mand @ ( front @ X10 ) @ ( mand @ ( seat @ X11 ) @ ( mand @ ( furniture @ X11 ) @ ( mand @ ( front @ X11 ) @ ( mand @ ( hollywood @ X12 ) @ ( mand @ ( city @ X12 ) @ ( mand @ ( event @ X13 ) @ ( mand @ ( chevy @ X14 ) @ ( mand @ ( car @ X14 ) @ ( mand @ ( white @ X14 ) @ ( mand @ ( dirty @ X14 ) @ ( mand @ ( old @ X14 ) @ ( mand @ ( street @ X15 ) @ ( mand @ ( way @ X15 ) @ ( mand @ ( lonely @ X15 ) @ ( mand @ ( barrel @ X13 @ X14 ) @ ( mand @ ( down @ X13 @ X15 ) @ ( mand @ ( in @ X13 @ X12 ) @ ( mand @ ( mnot @ ( qmltpeq @ X16 @ X17 ) ) @ ( mand @ ( fellow @ X16 ) @ ( mand @ ( man @ X16 ) @ ( mand @ ( young @ X16 ) @ ( mand @ ( fellow @ X17 ) @ ( mand @ ( man @ X17 ) @ ( mand @ ( young @ X17 ) @ ( mand @ ( qmltpeq @ X16 @ X18 ) @ ( mand @ ( in @ X18 @ X10 ) @ ( mand @ ( qmltpeq @ X17 @ X19 ) @ ( in @ X19 @ X11 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      @ ( mimplies
        @ ( mexists_di
          @ ^ [X20: $i] :
              ( mexists_di
              @ ^ [X21: $i] :
                  ( mexists_di
                  @ ^ [X22: $i] :
                      ( mexists_di
                      @ ^ [X23: $i] :
                          ( mexists_di
                          @ ^ [X24: $i] :
                              ( mexists_di
                              @ ^ [X25: $i] :
                                  ( mexists_di
                                  @ ^ [X26: $i] :
                                      ( mexists_di
                                      @ ^ [X27: $i] :
                                          ( mexists_di
                                          @ ^ [X28: $i] :
                                              ( mexists_di
                                              @ ^ [X29: $i] : ( mand @ ( seat @ X20 ) @ ( mand @ ( furniture @ X20 ) @ ( mand @ ( front @ X20 ) @ ( mand @ ( seat @ X21 ) @ ( mand @ ( furniture @ X21 ) @ ( mand @ ( front @ X21 ) @ ( mand @ ( hollywood @ X22 ) @ ( mand @ ( city @ X22 ) @ ( mand @ ( event @ X23 ) @ ( mand @ ( chevy @ X24 ) @ ( mand @ ( car @ X24 ) @ ( mand @ ( white @ X24 ) @ ( mand @ ( dirty @ X24 ) @ ( mand @ ( old @ X24 ) @ ( mand @ ( street @ X25 ) @ ( mand @ ( way @ X25 ) @ ( mand @ ( lonely @ X25 ) @ ( mand @ ( barrel @ X23 @ X24 ) @ ( mand @ ( down @ X23 @ X25 ) @ ( mand @ ( in @ X23 @ X22 ) @ ( mand @ ( mnot @ ( qmltpeq @ X26 @ X27 ) ) @ ( mand @ ( fellow @ X26 ) @ ( mand @ ( man @ X26 ) @ ( mand @ ( young @ X26 ) @ ( mand @ ( fellow @ X27 ) @ ( mand @ ( man @ X27 ) @ ( mand @ ( young @ X27 ) @ ( mand @ ( qmltpeq @ X26 @ X28 ) @ ( mand @ ( in @ X28 @ X20 ) @ ( mand @ ( qmltpeq @ X27 @ X29 ) @ ( in @ X29 @ X21 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
        @ ( mexists_di
          @ ^ [X30: $i] :
              ( mexists_di
              @ ^ [X31: $i] :
                  ( mexists_di
                  @ ^ [X32: $i] :
                      ( mexists_di
                      @ ^ [X33: $i] :
                          ( mexists_di
                          @ ^ [X34: $i] :
                              ( mexists_di
                              @ ^ [X35: $i] :
                                  ( mexists_di
                                  @ ^ [X36: $i] :
                                      ( mexists_di
                                      @ ^ [X37: $i] :
                                          ( mexists_di
                                          @ ^ [X38: $i] :
                                              ( mexists_di
                                              @ ^ [X39: $i] : ( mand @ ( seat @ X30 ) @ ( mand @ ( furniture @ X30 ) @ ( mand @ ( front @ X30 ) @ ( mand @ ( seat @ X31 ) @ ( mand @ ( furniture @ X31 ) @ ( mand @ ( front @ X31 ) @ ( mand @ ( hollywood @ X32 ) @ ( mand @ ( city @ X32 ) @ ( mand @ ( event @ X33 ) @ ( mand @ ( street @ X34 ) @ ( mand @ ( way @ X34 ) @ ( mand @ ( lonely @ X34 ) @ ( mand @ ( chevy @ X35 ) @ ( mand @ ( car @ X35 ) @ ( mand @ ( white @ X35 ) @ ( mand @ ( dirty @ X35 ) @ ( mand @ ( old @ X35 ) @ ( mand @ ( barrel @ X33 @ X35 ) @ ( mand @ ( down @ X33 @ X34 ) @ ( mand @ ( in @ X33 @ X32 ) @ ( mand @ ( mnot @ ( qmltpeq @ X36 @ X37 ) ) @ ( mand @ ( fellow @ X36 ) @ ( mand @ ( man @ X36 ) @ ( mand @ ( young @ X36 ) @ ( mand @ ( fellow @ X37 ) @ ( mand @ ( man @ X37 ) @ ( mand @ ( young @ X37 ) @ ( mand @ ( qmltpeq @ X36 @ X38 ) @ ( mand @ ( in @ X38 @ X30 ) @ ( mand @ ( qmltpeq @ X37 @ X39 ) @ ( in @ X39 @ X31 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

thf(f40,negated_conjecture,
    ~ ( mlocal
      @ ( mand
        @ ( mimplies
          @ ( mexists_di
            @ ^ [X0: $i] :
                ( mexists_di
                @ ^ [X1: $i] :
                    ( mexists_di
                    @ ^ [X2: $i] :
                        ( mexists_di
                        @ ^ [X3: $i] :
                            ( mexists_di
                            @ ^ [X4: $i] :
                                ( mexists_di
                                @ ^ [X5: $i] :
                                    ( mexists_di
                                    @ ^ [X6: $i] :
                                        ( mexists_di
                                        @ ^ [X7: $i] :
                                            ( mexists_di
                                            @ ^ [X8: $i] :
                                                ( mexists_di
                                                @ ^ [X9: $i] : ( mand @ ( seat @ X0 ) @ ( mand @ ( furniture @ X0 ) @ ( mand @ ( front @ X0 ) @ ( mand @ ( seat @ X1 ) @ ( mand @ ( furniture @ X1 ) @ ( mand @ ( front @ X1 ) @ ( mand @ ( hollywood @ X2 ) @ ( mand @ ( city @ X2 ) @ ( mand @ ( event @ X3 ) @ ( mand @ ( street @ X4 ) @ ( mand @ ( way @ X4 ) @ ( mand @ ( lonely @ X4 ) @ ( mand @ ( chevy @ X5 ) @ ( mand @ ( car @ X5 ) @ ( mand @ ( white @ X5 ) @ ( mand @ ( dirty @ X5 ) @ ( mand @ ( old @ X5 ) @ ( mand @ ( barrel @ X3 @ X5 ) @ ( mand @ ( down @ X3 @ X4 ) @ ( mand @ ( in @ X3 @ X2 ) @ ( mand @ ( mnot @ ( qmltpeq @ X6 @ X7 ) ) @ ( mand @ ( fellow @ X6 ) @ ( mand @ ( man @ X6 ) @ ( mand @ ( young @ X6 ) @ ( mand @ ( fellow @ X7 ) @ ( mand @ ( man @ X7 ) @ ( mand @ ( young @ X7 ) @ ( mand @ ( qmltpeq @ X6 @ X8 ) @ ( mand @ ( in @ X8 @ X0 ) @ ( mand @ ( qmltpeq @ X7 @ X9 ) @ ( in @ X9 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
          @ ( mexists_di
            @ ^ [X10: $i] :
                ( mexists_di
                @ ^ [X11: $i] :
                    ( mexists_di
                    @ ^ [X12: $i] :
                        ( mexists_di
                        @ ^ [X13: $i] :
                            ( mexists_di
                            @ ^ [X14: $i] :
                                ( mexists_di
                                @ ^ [X15: $i] :
                                    ( mexists_di
                                    @ ^ [X16: $i] :
                                        ( mexists_di
                                        @ ^ [X17: $i] :
                                            ( mexists_di
                                            @ ^ [X18: $i] :
                                                ( mexists_di
                                                @ ^ [X19: $i] : ( mand @ ( seat @ X10 ) @ ( mand @ ( furniture @ X10 ) @ ( mand @ ( front @ X10 ) @ ( mand @ ( seat @ X11 ) @ ( mand @ ( furniture @ X11 ) @ ( mand @ ( front @ X11 ) @ ( mand @ ( hollywood @ X12 ) @ ( mand @ ( city @ X12 ) @ ( mand @ ( event @ X13 ) @ ( mand @ ( chevy @ X14 ) @ ( mand @ ( car @ X14 ) @ ( mand @ ( white @ X14 ) @ ( mand @ ( dirty @ X14 ) @ ( mand @ ( old @ X14 ) @ ( mand @ ( street @ X15 ) @ ( mand @ ( way @ X15 ) @ ( mand @ ( lonely @ X15 ) @ ( mand @ ( barrel @ X13 @ X14 ) @ ( mand @ ( down @ X13 @ X15 ) @ ( mand @ ( in @ X13 @ X12 ) @ ( mand @ ( mnot @ ( qmltpeq @ X16 @ X17 ) ) @ ( mand @ ( fellow @ X16 ) @ ( mand @ ( man @ X16 ) @ ( mand @ ( young @ X16 ) @ ( mand @ ( fellow @ X17 ) @ ( mand @ ( man @ X17 ) @ ( mand @ ( young @ X17 ) @ ( mand @ ( qmltpeq @ X16 @ X18 ) @ ( mand @ ( in @ X18 @ X10 ) @ ( mand @ ( qmltpeq @ X17 @ X19 ) @ ( in @ X19 @ X11 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
        @ ( mimplies
          @ ( mexists_di
            @ ^ [X20: $i] :
                ( mexists_di
                @ ^ [X21: $i] :
                    ( mexists_di
                    @ ^ [X22: $i] :
                        ( mexists_di
                        @ ^ [X23: $i] :
                            ( mexists_di
                            @ ^ [X24: $i] :
                                ( mexists_di
                                @ ^ [X25: $i] :
                                    ( mexists_di
                                    @ ^ [X26: $i] :
                                        ( mexists_di
                                        @ ^ [X27: $i] :
                                            ( mexists_di
                                            @ ^ [X28: $i] :
                                                ( mexists_di
                                                @ ^ [X29: $i] : ( mand @ ( seat @ X20 ) @ ( mand @ ( furniture @ X20 ) @ ( mand @ ( front @ X20 ) @ ( mand @ ( seat @ X21 ) @ ( mand @ ( furniture @ X21 ) @ ( mand @ ( front @ X21 ) @ ( mand @ ( hollywood @ X22 ) @ ( mand @ ( city @ X22 ) @ ( mand @ ( event @ X23 ) @ ( mand @ ( chevy @ X24 ) @ ( mand @ ( car @ X24 ) @ ( mand @ ( white @ X24 ) @ ( mand @ ( dirty @ X24 ) @ ( mand @ ( old @ X24 ) @ ( mand @ ( street @ X25 ) @ ( mand @ ( way @ X25 ) @ ( mand @ ( lonely @ X25 ) @ ( mand @ ( barrel @ X23 @ X24 ) @ ( mand @ ( down @ X23 @ X25 ) @ ( mand @ ( in @ X23 @ X22 ) @ ( mand @ ( mnot @ ( qmltpeq @ X26 @ X27 ) ) @ ( mand @ ( fellow @ X26 ) @ ( mand @ ( man @ X26 ) @ ( mand @ ( young @ X26 ) @ ( mand @ ( fellow @ X27 ) @ ( mand @ ( man @ X27 ) @ ( mand @ ( young @ X27 ) @ ( mand @ ( qmltpeq @ X26 @ X28 ) @ ( mand @ ( in @ X28 @ X20 ) @ ( mand @ ( qmltpeq @ X27 @ X29 ) @ ( in @ X29 @ X21 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
          @ ( mexists_di
            @ ^ [X30: $i] :
                ( mexists_di
                @ ^ [X31: $i] :
                    ( mexists_di
                    @ ^ [X32: $i] :
                        ( mexists_di
                        @ ^ [X33: $i] :
                            ( mexists_di
                            @ ^ [X34: $i] :
                                ( mexists_di
                                @ ^ [X35: $i] :
                                    ( mexists_di
                                    @ ^ [X36: $i] :
                                        ( mexists_di
                                        @ ^ [X37: $i] :
                                            ( mexists_di
                                            @ ^ [X38: $i] :
                                                ( mexists_di
                                                @ ^ [X39: $i] : ( mand @ ( seat @ X30 ) @ ( mand @ ( furniture @ X30 ) @ ( mand @ ( front @ X30 ) @ ( mand @ ( seat @ X31 ) @ ( mand @ ( furniture @ X31 ) @ ( mand @ ( front @ X31 ) @ ( mand @ ( hollywood @ X32 ) @ ( mand @ ( city @ X32 ) @ ( mand @ ( event @ X33 ) @ ( mand @ ( street @ X34 ) @ ( mand @ ( way @ X34 ) @ ( mand @ ( lonely @ X34 ) @ ( mand @ ( chevy @ X35 ) @ ( mand @ ( car @ X35 ) @ ( mand @ ( white @ X35 ) @ ( mand @ ( dirty @ X35 ) @ ( mand @ ( old @ X35 ) @ ( mand @ ( barrel @ X33 @ X35 ) @ ( mand @ ( down @ X33 @ X34 ) @ ( mand @ ( in @ X33 @ X32 ) @ ( mand @ ( mnot @ ( qmltpeq @ X36 @ X37 ) ) @ ( mand @ ( fellow @ X36 ) @ ( mand @ ( man @ X36 ) @ ( mand @ ( young @ X36 ) @ ( mand @ ( fellow @ X37 ) @ ( mand @ ( man @ X37 ) @ ( mand @ ( young @ X37 ) @ ( mand @ ( qmltpeq @ X36 @ X38 ) @ ( mand @ ( in @ X38 @ X30 ) @ ( mand @ ( qmltpeq @ X37 @ X39 ) @ ( in @ X39 @ X31 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f39]) ).

thf(f49,plain,
    ( mimplies
    = ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
          ( ( X0 @ X2 )
         => ( X1 @ X2 ) ) ) ),
    inference(rectify,[],[f5]) ).

thf(f50,plain,
    ( mimplies
    = ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
          ( ( Y0 @ Y2 )
         => ( Y1 @ Y2 ) ) ) ),
    inference(fool_elimination,[],[f49]) ).

thf(f57,plain,
    ( ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
          ( ( X1 @ X2 )
          & ( X0 @ X2 ) ) )
    = mand ),
    inference(rectify,[],[f3]) ).

thf(f58,plain,
    ( mand
    = ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
          ( ( Y0 @ Y2 )
          & ( Y1 @ Y2 ) ) ) ),
    inference(fool_elimination,[],[f57]) ).

thf(f71,plain,
    ~ ( mlocal
      @ ( mand
        @ ( mimplies
          @ ( mexists_di
            @ ^ [X0: $i] :
                ( mexists_di
                @ ^ [X1: $i] :
                    ( mexists_di
                    @ ^ [X2: $i] :
                        ( mexists_di
                        @ ^ [X3: $i] :
                            ( mexists_di
                            @ ^ [X4: $i] :
                                ( mexists_di
                                @ ^ [X5: $i] :
                                    ( mexists_di
                                    @ ^ [X6: $i] :
                                        ( mexists_di
                                        @ ^ [X7: $i] :
                                            ( mexists_di
                                            @ ^ [X8: $i] :
                                                ( mexists_di
                                                @ ^ [X9: $i] : ( mand @ ( seat @ X0 ) @ ( mand @ ( furniture @ X0 ) @ ( mand @ ( front @ X0 ) @ ( mand @ ( seat @ X1 ) @ ( mand @ ( furniture @ X1 ) @ ( mand @ ( front @ X1 ) @ ( mand @ ( hollywood @ X2 ) @ ( mand @ ( city @ X2 ) @ ( mand @ ( event @ X3 ) @ ( mand @ ( street @ X4 ) @ ( mand @ ( way @ X4 ) @ ( mand @ ( lonely @ X4 ) @ ( mand @ ( chevy @ X5 ) @ ( mand @ ( car @ X5 ) @ ( mand @ ( white @ X5 ) @ ( mand @ ( dirty @ X5 ) @ ( mand @ ( old @ X5 ) @ ( mand @ ( barrel @ X3 @ X5 ) @ ( mand @ ( down @ X3 @ X4 ) @ ( mand @ ( in @ X3 @ X2 ) @ ( mand @ ( mnot @ ( qmltpeq @ X6 @ X7 ) ) @ ( mand @ ( fellow @ X6 ) @ ( mand @ ( man @ X6 ) @ ( mand @ ( young @ X6 ) @ ( mand @ ( fellow @ X7 ) @ ( mand @ ( man @ X7 ) @ ( mand @ ( young @ X7 ) @ ( mand @ ( qmltpeq @ X6 @ X8 ) @ ( mand @ ( in @ X8 @ X0 ) @ ( mand @ ( qmltpeq @ X7 @ X9 ) @ ( in @ X9 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
          @ ( mexists_di
            @ ^ [X10: $i] :
                ( mexists_di
                @ ^ [X11: $i] :
                    ( mexists_di
                    @ ^ [X12: $i] :
                        ( mexists_di
                        @ ^ [X13: $i] :
                            ( mexists_di
                            @ ^ [X14: $i] :
                                ( mexists_di
                                @ ^ [X15: $i] :
                                    ( mexists_di
                                    @ ^ [X16: $i] :
                                        ( mexists_di
                                        @ ^ [X17: $i] :
                                            ( mexists_di
                                            @ ^ [X18: $i] :
                                                ( mexists_di
                                                @ ^ [X19: $i] : ( mand @ ( seat @ X10 ) @ ( mand @ ( furniture @ X10 ) @ ( mand @ ( front @ X10 ) @ ( mand @ ( seat @ X11 ) @ ( mand @ ( furniture @ X11 ) @ ( mand @ ( front @ X11 ) @ ( mand @ ( hollywood @ X12 ) @ ( mand @ ( city @ X12 ) @ ( mand @ ( event @ X13 ) @ ( mand @ ( chevy @ X14 ) @ ( mand @ ( car @ X14 ) @ ( mand @ ( white @ X14 ) @ ( mand @ ( dirty @ X14 ) @ ( mand @ ( old @ X14 ) @ ( mand @ ( street @ X15 ) @ ( mand @ ( way @ X15 ) @ ( mand @ ( lonely @ X15 ) @ ( mand @ ( barrel @ X13 @ X14 ) @ ( mand @ ( down @ X13 @ X15 ) @ ( mand @ ( in @ X13 @ X12 ) @ ( mand @ ( mnot @ ( qmltpeq @ X16 @ X17 ) ) @ ( mand @ ( fellow @ X16 ) @ ( mand @ ( man @ X16 ) @ ( mand @ ( young @ X16 ) @ ( mand @ ( fellow @ X17 ) @ ( mand @ ( man @ X17 ) @ ( mand @ ( young @ X17 ) @ ( mand @ ( qmltpeq @ X16 @ X18 ) @ ( mand @ ( in @ X18 @ X10 ) @ ( mand @ ( qmltpeq @ X17 @ X19 ) @ ( in @ X19 @ X11 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
        @ ( mimplies
          @ ( mexists_di
            @ ^ [X20: $i] :
                ( mexists_di
                @ ^ [X21: $i] :
                    ( mexists_di
                    @ ^ [X22: $i] :
                        ( mexists_di
                        @ ^ [X23: $i] :
                            ( mexists_di
                            @ ^ [X24: $i] :
                                ( mexists_di
                                @ ^ [X25: $i] :
                                    ( mexists_di
                                    @ ^ [X26: $i] :
                                        ( mexists_di
                                        @ ^ [X27: $i] :
                                            ( mexists_di
                                            @ ^ [X28: $i] :
                                                ( mexists_di
                                                @ ^ [X29: $i] : ( mand @ ( seat @ X20 ) @ ( mand @ ( furniture @ X20 ) @ ( mand @ ( front @ X20 ) @ ( mand @ ( seat @ X21 ) @ ( mand @ ( furniture @ X21 ) @ ( mand @ ( front @ X21 ) @ ( mand @ ( hollywood @ X22 ) @ ( mand @ ( city @ X22 ) @ ( mand @ ( event @ X23 ) @ ( mand @ ( chevy @ X24 ) @ ( mand @ ( car @ X24 ) @ ( mand @ ( white @ X24 ) @ ( mand @ ( dirty @ X24 ) @ ( mand @ ( old @ X24 ) @ ( mand @ ( street @ X25 ) @ ( mand @ ( way @ X25 ) @ ( mand @ ( lonely @ X25 ) @ ( mand @ ( barrel @ X23 @ X24 ) @ ( mand @ ( down @ X23 @ X25 ) @ ( mand @ ( in @ X23 @ X22 ) @ ( mand @ ( mnot @ ( qmltpeq @ X26 @ X27 ) ) @ ( mand @ ( fellow @ X26 ) @ ( mand @ ( man @ X26 ) @ ( mand @ ( young @ X26 ) @ ( mand @ ( fellow @ X27 ) @ ( mand @ ( man @ X27 ) @ ( mand @ ( young @ X27 ) @ ( mand @ ( qmltpeq @ X26 @ X28 ) @ ( mand @ ( in @ X28 @ X20 ) @ ( mand @ ( qmltpeq @ X27 @ X29 ) @ ( in @ X29 @ X21 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
          @ ( mexists_di
            @ ^ [X30: $i] :
                ( mexists_di
                @ ^ [X31: $i] :
                    ( mexists_di
                    @ ^ [X32: $i] :
                        ( mexists_di
                        @ ^ [X33: $i] :
                            ( mexists_di
                            @ ^ [X34: $i] :
                                ( mexists_di
                                @ ^ [X35: $i] :
                                    ( mexists_di
                                    @ ^ [X36: $i] :
                                        ( mexists_di
                                        @ ^ [X37: $i] :
                                            ( mexists_di
                                            @ ^ [X38: $i] :
                                                ( mexists_di
                                                @ ^ [X39: $i] : ( mand @ ( seat @ X30 ) @ ( mand @ ( furniture @ X30 ) @ ( mand @ ( front @ X30 ) @ ( mand @ ( seat @ X31 ) @ ( mand @ ( furniture @ X31 ) @ ( mand @ ( front @ X31 ) @ ( mand @ ( hollywood @ X32 ) @ ( mand @ ( city @ X32 ) @ ( mand @ ( event @ X33 ) @ ( mand @ ( street @ X34 ) @ ( mand @ ( way @ X34 ) @ ( mand @ ( lonely @ X34 ) @ ( mand @ ( chevy @ X35 ) @ ( mand @ ( car @ X35 ) @ ( mand @ ( white @ X35 ) @ ( mand @ ( dirty @ X35 ) @ ( mand @ ( old @ X35 ) @ ( mand @ ( barrel @ X33 @ X35 ) @ ( mand @ ( down @ X33 @ X34 ) @ ( mand @ ( in @ X33 @ X32 ) @ ( mand @ ( mnot @ ( qmltpeq @ X36 @ X37 ) ) @ ( mand @ ( fellow @ X36 ) @ ( mand @ ( man @ X36 ) @ ( mand @ ( young @ X36 ) @ ( mand @ ( fellow @ X37 ) @ ( mand @ ( man @ X37 ) @ ( mand @ ( young @ X37 ) @ ( mand @ ( qmltpeq @ X36 @ X38 ) @ ( mand @ ( in @ X38 @ X30 ) @ ( mand @ ( qmltpeq @ X37 @ X39 ) @ ( in @ X39 @ X31 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(rectify,[],[f40]) ).

thf(f72,plain,
    ( $true
    = ( ~ ( mlocal
          @ ( mand
            @ ( mimplies
              @ ( mexists_di
                @ ^ [Y0: $i] :
                    ( mexists_di
                    @ ^ [Y1: $i] :
                        ( mexists_di
                        @ ^ [Y2: $i] :
                            ( mexists_di
                            @ ^ [Y3: $i] :
                                ( mexists_di
                                @ ^ [Y4: $i] :
                                    ( mexists_di
                                    @ ^ [Y5: $i] :
                                        ( mexists_di
                                        @ ^ [Y6: $i] :
                                            ( mexists_di
                                            @ ^ [Y7: $i] :
                                                ( mexists_di
                                                @ ^ [Y8: $i] :
                                                    ( mexists_di
                                                    @ ^ [Y9: $i] : ( mand @ ( seat @ Y0 ) @ ( mand @ ( furniture @ Y0 ) @ ( mand @ ( front @ Y0 ) @ ( mand @ ( seat @ Y1 ) @ ( mand @ ( furniture @ Y1 ) @ ( mand @ ( front @ Y1 ) @ ( mand @ ( hollywood @ Y2 ) @ ( mand @ ( city @ Y2 ) @ ( mand @ ( event @ Y3 ) @ ( mand @ ( street @ Y4 ) @ ( mand @ ( way @ Y4 ) @ ( mand @ ( lonely @ Y4 ) @ ( mand @ ( chevy @ Y5 ) @ ( mand @ ( car @ Y5 ) @ ( mand @ ( white @ Y5 ) @ ( mand @ ( dirty @ Y5 ) @ ( mand @ ( old @ Y5 ) @ ( mand @ ( barrel @ Y3 @ Y5 ) @ ( mand @ ( down @ Y3 @ Y4 ) @ ( mand @ ( in @ Y3 @ Y2 ) @ ( mand @ ( mnot @ ( qmltpeq @ Y6 @ Y7 ) ) @ ( mand @ ( fellow @ Y6 ) @ ( mand @ ( man @ Y6 ) @ ( mand @ ( young @ Y6 ) @ ( mand @ ( fellow @ Y7 ) @ ( mand @ ( man @ Y7 ) @ ( mand @ ( young @ Y7 ) @ ( mand @ ( qmltpeq @ Y6 @ Y8 ) @ ( mand @ ( in @ Y8 @ Y0 ) @ ( mand @ ( qmltpeq @ Y7 @ Y9 ) @ ( in @ Y9 @ Y1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
              @ ( mexists_di
                @ ^ [Y0: $i] :
                    ( mexists_di
                    @ ^ [Y1: $i] :
                        ( mexists_di
                        @ ^ [Y2: $i] :
                            ( mexists_di
                            @ ^ [Y3: $i] :
                                ( mexists_di
                                @ ^ [Y4: $i] :
                                    ( mexists_di
                                    @ ^ [Y5: $i] :
                                        ( mexists_di
                                        @ ^ [Y6: $i] :
                                            ( mexists_di
                                            @ ^ [Y7: $i] :
                                                ( mexists_di
                                                @ ^ [Y8: $i] :
                                                    ( mexists_di
                                                    @ ^ [Y9: $i] : ( mand @ ( seat @ Y0 ) @ ( mand @ ( furniture @ Y0 ) @ ( mand @ ( front @ Y0 ) @ ( mand @ ( seat @ Y1 ) @ ( mand @ ( furniture @ Y1 ) @ ( mand @ ( front @ Y1 ) @ ( mand @ ( hollywood @ Y2 ) @ ( mand @ ( city @ Y2 ) @ ( mand @ ( event @ Y3 ) @ ( mand @ ( chevy @ Y4 ) @ ( mand @ ( car @ Y4 ) @ ( mand @ ( white @ Y4 ) @ ( mand @ ( dirty @ Y4 ) @ ( mand @ ( old @ Y4 ) @ ( mand @ ( street @ Y5 ) @ ( mand @ ( way @ Y5 ) @ ( mand @ ( lonely @ Y5 ) @ ( mand @ ( barrel @ Y3 @ Y4 ) @ ( mand @ ( down @ Y3 @ Y5 ) @ ( mand @ ( in @ Y3 @ Y2 ) @ ( mand @ ( mnot @ ( qmltpeq @ Y6 @ Y7 ) ) @ ( mand @ ( fellow @ Y6 ) @ ( mand @ ( man @ Y6 ) @ ( mand @ ( young @ Y6 ) @ ( mand @ ( fellow @ Y7 ) @ ( mand @ ( man @ Y7 ) @ ( mand @ ( young @ Y7 ) @ ( mand @ ( qmltpeq @ Y6 @ Y8 ) @ ( mand @ ( in @ Y8 @ Y0 ) @ ( mand @ ( qmltpeq @ Y7 @ Y9 ) @ ( in @ Y9 @ Y1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
            @ ( mimplies
              @ ( mexists_di
                @ ^ [Y0: $i] :
                    ( mexists_di
                    @ ^ [Y1: $i] :
                        ( mexists_di
                        @ ^ [Y2: $i] :
                            ( mexists_di
                            @ ^ [Y3: $i] :
                                ( mexists_di
                                @ ^ [Y4: $i] :
                                    ( mexists_di
                                    @ ^ [Y5: $i] :
                                        ( mexists_di
                                        @ ^ [Y6: $i] :
                                            ( mexists_di
                                            @ ^ [Y7: $i] :
                                                ( mexists_di
                                                @ ^ [Y8: $i] :
                                                    ( mexists_di
                                                    @ ^ [Y9: $i] : ( mand @ ( seat @ Y0 ) @ ( mand @ ( furniture @ Y0 ) @ ( mand @ ( front @ Y0 ) @ ( mand @ ( seat @ Y1 ) @ ( mand @ ( furniture @ Y1 ) @ ( mand @ ( front @ Y1 ) @ ( mand @ ( hollywood @ Y2 ) @ ( mand @ ( city @ Y2 ) @ ( mand @ ( event @ Y3 ) @ ( mand @ ( chevy @ Y4 ) @ ( mand @ ( car @ Y4 ) @ ( mand @ ( white @ Y4 ) @ ( mand @ ( dirty @ Y4 ) @ ( mand @ ( old @ Y4 ) @ ( mand @ ( street @ Y5 ) @ ( mand @ ( way @ Y5 ) @ ( mand @ ( lonely @ Y5 ) @ ( mand @ ( barrel @ Y3 @ Y4 ) @ ( mand @ ( down @ Y3 @ Y5 ) @ ( mand @ ( in @ Y3 @ Y2 ) @ ( mand @ ( mnot @ ( qmltpeq @ Y6 @ Y7 ) ) @ ( mand @ ( fellow @ Y6 ) @ ( mand @ ( man @ Y6 ) @ ( mand @ ( young @ Y6 ) @ ( mand @ ( fellow @ Y7 ) @ ( mand @ ( man @ Y7 ) @ ( mand @ ( young @ Y7 ) @ ( mand @ ( qmltpeq @ Y6 @ Y8 ) @ ( mand @ ( in @ Y8 @ Y0 ) @ ( mand @ ( qmltpeq @ Y7 @ Y9 ) @ ( in @ Y9 @ Y1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
              @ ( mexists_di
                @ ^ [Y0: $i] :
                    ( mexists_di
                    @ ^ [Y1: $i] :
                        ( mexists_di
                        @ ^ [Y2: $i] :
                            ( mexists_di
                            @ ^ [Y3: $i] :
                                ( mexists_di
                                @ ^ [Y4: $i] :
                                    ( mexists_di
                                    @ ^ [Y5: $i] :
                                        ( mexists_di
                                        @ ^ [Y6: $i] :
                                            ( mexists_di
                                            @ ^ [Y7: $i] :
                                                ( mexists_di
                                                @ ^ [Y8: $i] :
                                                    ( mexists_di
                                                    @ ^ [Y9: $i] : ( mand @ ( seat @ Y0 ) @ ( mand @ ( furniture @ Y0 ) @ ( mand @ ( front @ Y0 ) @ ( mand @ ( seat @ Y1 ) @ ( mand @ ( furniture @ Y1 ) @ ( mand @ ( front @ Y1 ) @ ( mand @ ( hollywood @ Y2 ) @ ( mand @ ( city @ Y2 ) @ ( mand @ ( event @ Y3 ) @ ( mand @ ( street @ Y4 ) @ ( mand @ ( way @ Y4 ) @ ( mand @ ( lonely @ Y4 ) @ ( mand @ ( chevy @ Y5 ) @ ( mand @ ( car @ Y5 ) @ ( mand @ ( white @ Y5 ) @ ( mand @ ( dirty @ Y5 ) @ ( mand @ ( old @ Y5 ) @ ( mand @ ( barrel @ Y3 @ Y5 ) @ ( mand @ ( down @ Y3 @ Y4 ) @ ( mand @ ( in @ Y3 @ Y2 ) @ ( mand @ ( mnot @ ( qmltpeq @ Y6 @ Y7 ) ) @ ( mand @ ( fellow @ Y6 ) @ ( mand @ ( man @ Y6 ) @ ( mand @ ( young @ Y6 ) @ ( mand @ ( fellow @ Y7 ) @ ( mand @ ( man @ Y7 ) @ ( mand @ ( young @ Y7 ) @ ( mand @ ( qmltpeq @ Y6 @ Y8 ) @ ( mand @ ( in @ Y8 @ Y0 ) @ ( mand @ ( qmltpeq @ Y7 @ Y9 ) @ ( in @ Y9 @ Y1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(fool_elimination,[],[f71]) ).

thf(f77,plain,
    ( ( ^ [X0: mworld > $o,X1: mworld] :
          ~ ( X0 @ X1 ) )
    = mnot ),
    inference(rectify,[],[f2]) ).

thf(f78,plain,
    ( mnot
    = ( ^ [Y0: mworld > $o,Y1: mworld] :
          ~ ( Y0 @ Y1 ) ) ),
    inference(fool_elimination,[],[f77]) ).

thf(f99,plain,
    ( ( ^ [X0: $i > mworld > $o,X1: mworld] :
        ? [X2: $i] :
          ( ( X0 @ X2 @ X1 )
          & ( eiw_di @ X2 @ X1 ) ) )
    = mexists_di ),
    inference(rectify,[],[f12]) ).

thf(f100,plain,
    ( mexists_di
    = ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
          ( ?? @ $i
          @ ^ [Y2: $i] :
              ( ( eiw_di @ Y2 @ Y1 )
              & ( Y0 @ Y2 @ Y1 ) ) ) ) ),
    inference(fool_elimination,[],[f99]) ).

thf(f111,plain,
    ( mlocal
    = ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
    inference(fool_elimination,[],[f1]) ).

thf(f118,plain,
    ( mimplies
    = ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
          ( ( Y0 @ Y2 )
         => ( Y1 @ Y2 ) ) ) ),
    inference(cnf_transformation,[],[f50]) ).

thf(f129,plain,
    ( mlocal
    = ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
    inference(cnf_transformation,[],[f111]) ).

thf(f140,plain,
    ( mnot
    = ( ^ [Y0: mworld > $o,Y1: mworld] :
          ~ ( Y0 @ Y1 ) ) ),
    inference(cnf_transformation,[],[f78]) ).

thf(f145,plain,
    ( $true
    = ( ~ ( mlocal
          @ ( mand
            @ ( mimplies
              @ ( mexists_di
                @ ^ [Y0: $i] :
                    ( mexists_di
                    @ ^ [Y1: $i] :
                        ( mexists_di
                        @ ^ [Y2: $i] :
                            ( mexists_di
                            @ ^ [Y3: $i] :
                                ( mexists_di
                                @ ^ [Y4: $i] :
                                    ( mexists_di
                                    @ ^ [Y5: $i] :
                                        ( mexists_di
                                        @ ^ [Y6: $i] :
                                            ( mexists_di
                                            @ ^ [Y7: $i] :
                                                ( mexists_di
                                                @ ^ [Y8: $i] :
                                                    ( mexists_di
                                                    @ ^ [Y9: $i] : ( mand @ ( seat @ Y0 ) @ ( mand @ ( furniture @ Y0 ) @ ( mand @ ( front @ Y0 ) @ ( mand @ ( seat @ Y1 ) @ ( mand @ ( furniture @ Y1 ) @ ( mand @ ( front @ Y1 ) @ ( mand @ ( hollywood @ Y2 ) @ ( mand @ ( city @ Y2 ) @ ( mand @ ( event @ Y3 ) @ ( mand @ ( street @ Y4 ) @ ( mand @ ( way @ Y4 ) @ ( mand @ ( lonely @ Y4 ) @ ( mand @ ( chevy @ Y5 ) @ ( mand @ ( car @ Y5 ) @ ( mand @ ( white @ Y5 ) @ ( mand @ ( dirty @ Y5 ) @ ( mand @ ( old @ Y5 ) @ ( mand @ ( barrel @ Y3 @ Y5 ) @ ( mand @ ( down @ Y3 @ Y4 ) @ ( mand @ ( in @ Y3 @ Y2 ) @ ( mand @ ( mnot @ ( qmltpeq @ Y6 @ Y7 ) ) @ ( mand @ ( fellow @ Y6 ) @ ( mand @ ( man @ Y6 ) @ ( mand @ ( young @ Y6 ) @ ( mand @ ( fellow @ Y7 ) @ ( mand @ ( man @ Y7 ) @ ( mand @ ( young @ Y7 ) @ ( mand @ ( qmltpeq @ Y6 @ Y8 ) @ ( mand @ ( in @ Y8 @ Y0 ) @ ( mand @ ( qmltpeq @ Y7 @ Y9 ) @ ( in @ Y9 @ Y1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
              @ ( mexists_di
                @ ^ [Y0: $i] :
                    ( mexists_di
                    @ ^ [Y1: $i] :
                        ( mexists_di
                        @ ^ [Y2: $i] :
                            ( mexists_di
                            @ ^ [Y3: $i] :
                                ( mexists_di
                                @ ^ [Y4: $i] :
                                    ( mexists_di
                                    @ ^ [Y5: $i] :
                                        ( mexists_di
                                        @ ^ [Y6: $i] :
                                            ( mexists_di
                                            @ ^ [Y7: $i] :
                                                ( mexists_di
                                                @ ^ [Y8: $i] :
                                                    ( mexists_di
                                                    @ ^ [Y9: $i] : ( mand @ ( seat @ Y0 ) @ ( mand @ ( furniture @ Y0 ) @ ( mand @ ( front @ Y0 ) @ ( mand @ ( seat @ Y1 ) @ ( mand @ ( furniture @ Y1 ) @ ( mand @ ( front @ Y1 ) @ ( mand @ ( hollywood @ Y2 ) @ ( mand @ ( city @ Y2 ) @ ( mand @ ( event @ Y3 ) @ ( mand @ ( chevy @ Y4 ) @ ( mand @ ( car @ Y4 ) @ ( mand @ ( white @ Y4 ) @ ( mand @ ( dirty @ Y4 ) @ ( mand @ ( old @ Y4 ) @ ( mand @ ( street @ Y5 ) @ ( mand @ ( way @ Y5 ) @ ( mand @ ( lonely @ Y5 ) @ ( mand @ ( barrel @ Y3 @ Y4 ) @ ( mand @ ( down @ Y3 @ Y5 ) @ ( mand @ ( in @ Y3 @ Y2 ) @ ( mand @ ( mnot @ ( qmltpeq @ Y6 @ Y7 ) ) @ ( mand @ ( fellow @ Y6 ) @ ( mand @ ( man @ Y6 ) @ ( mand @ ( young @ Y6 ) @ ( mand @ ( fellow @ Y7 ) @ ( mand @ ( man @ Y7 ) @ ( mand @ ( young @ Y7 ) @ ( mand @ ( qmltpeq @ Y6 @ Y8 ) @ ( mand @ ( in @ Y8 @ Y0 ) @ ( mand @ ( qmltpeq @ Y7 @ Y9 ) @ ( in @ Y9 @ Y1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
            @ ( mimplies
              @ ( mexists_di
                @ ^ [Y0: $i] :
                    ( mexists_di
                    @ ^ [Y1: $i] :
                        ( mexists_di
                        @ ^ [Y2: $i] :
                            ( mexists_di
                            @ ^ [Y3: $i] :
                                ( mexists_di
                                @ ^ [Y4: $i] :
                                    ( mexists_di
                                    @ ^ [Y5: $i] :
                                        ( mexists_di
                                        @ ^ [Y6: $i] :
                                            ( mexists_di
                                            @ ^ [Y7: $i] :
                                                ( mexists_di
                                                @ ^ [Y8: $i] :
                                                    ( mexists_di
                                                    @ ^ [Y9: $i] : ( mand @ ( seat @ Y0 ) @ ( mand @ ( furniture @ Y0 ) @ ( mand @ ( front @ Y0 ) @ ( mand @ ( seat @ Y1 ) @ ( mand @ ( furniture @ Y1 ) @ ( mand @ ( front @ Y1 ) @ ( mand @ ( hollywood @ Y2 ) @ ( mand @ ( city @ Y2 ) @ ( mand @ ( event @ Y3 ) @ ( mand @ ( chevy @ Y4 ) @ ( mand @ ( car @ Y4 ) @ ( mand @ ( white @ Y4 ) @ ( mand @ ( dirty @ Y4 ) @ ( mand @ ( old @ Y4 ) @ ( mand @ ( street @ Y5 ) @ ( mand @ ( way @ Y5 ) @ ( mand @ ( lonely @ Y5 ) @ ( mand @ ( barrel @ Y3 @ Y4 ) @ ( mand @ ( down @ Y3 @ Y5 ) @ ( mand @ ( in @ Y3 @ Y2 ) @ ( mand @ ( mnot @ ( qmltpeq @ Y6 @ Y7 ) ) @ ( mand @ ( fellow @ Y6 ) @ ( mand @ ( man @ Y6 ) @ ( mand @ ( young @ Y6 ) @ ( mand @ ( fellow @ Y7 ) @ ( mand @ ( man @ Y7 ) @ ( mand @ ( young @ Y7 ) @ ( mand @ ( qmltpeq @ Y6 @ Y8 ) @ ( mand @ ( in @ Y8 @ Y0 ) @ ( mand @ ( qmltpeq @ Y7 @ Y9 ) @ ( in @ Y9 @ Y1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
              @ ( mexists_di
                @ ^ [Y0: $i] :
                    ( mexists_di
                    @ ^ [Y1: $i] :
                        ( mexists_di
                        @ ^ [Y2: $i] :
                            ( mexists_di
                            @ ^ [Y3: $i] :
                                ( mexists_di
                                @ ^ [Y4: $i] :
                                    ( mexists_di
                                    @ ^ [Y5: $i] :
                                        ( mexists_di
                                        @ ^ [Y6: $i] :
                                            ( mexists_di
                                            @ ^ [Y7: $i] :
                                                ( mexists_di
                                                @ ^ [Y8: $i] :
                                                    ( mexists_di
                                                    @ ^ [Y9: $i] : ( mand @ ( seat @ Y0 ) @ ( mand @ ( furniture @ Y0 ) @ ( mand @ ( front @ Y0 ) @ ( mand @ ( seat @ Y1 ) @ ( mand @ ( furniture @ Y1 ) @ ( mand @ ( front @ Y1 ) @ ( mand @ ( hollywood @ Y2 ) @ ( mand @ ( city @ Y2 ) @ ( mand @ ( event @ Y3 ) @ ( mand @ ( street @ Y4 ) @ ( mand @ ( way @ Y4 ) @ ( mand @ ( lonely @ Y4 ) @ ( mand @ ( chevy @ Y5 ) @ ( mand @ ( car @ Y5 ) @ ( mand @ ( white @ Y5 ) @ ( mand @ ( dirty @ Y5 ) @ ( mand @ ( old @ Y5 ) @ ( mand @ ( barrel @ Y3 @ Y5 ) @ ( mand @ ( down @ Y3 @ Y4 ) @ ( mand @ ( in @ Y3 @ Y2 ) @ ( mand @ ( mnot @ ( qmltpeq @ Y6 @ Y7 ) ) @ ( mand @ ( fellow @ Y6 ) @ ( mand @ ( man @ Y6 ) @ ( mand @ ( young @ Y6 ) @ ( mand @ ( fellow @ Y7 ) @ ( mand @ ( man @ Y7 ) @ ( mand @ ( young @ Y7 ) @ ( mand @ ( qmltpeq @ Y6 @ Y8 ) @ ( mand @ ( in @ Y8 @ Y0 ) @ ( mand @ ( qmltpeq @ Y7 @ Y9 ) @ ( in @ Y9 @ Y1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(cnf_transformation,[],[f72]) ).

thf(f148,plain,
    ( mexists_di
    = ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
          ( ?? @ $i
          @ ^ [Y2: $i] :
              ( ( eiw_di @ Y2 @ Y1 )
              & ( Y0 @ Y2 @ Y1 ) ) ) ) ),
    inference(cnf_transformation,[],[f100]) ).

thf(f156,plain,
    ( mand
    = ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
          ( ( Y0 @ Y2 )
          & ( Y1 @ Y2 ) ) ) ),
    inference(cnf_transformation,[],[f58]) ).

thf(f178,plain,
    ( ( ~ ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
          @ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
                ( ( Y0 @ Y2 )
                & ( Y1 @ Y2 ) )
            @ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
                  ( ( Y0 @ Y2 )
                 => ( Y1 @ Y2 ) )
              @ ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
                    ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ Y1 )
                        & ( Y0 @ Y2 @ Y1 ) ) )
                @ ^ [Y0: $i] :
                    ( ^ [Y1: $i > mworld > $o,Y2: mworld] :
                        ( ?? @ $i
                        @ ^ [Y3: $i] :
                            ( ( eiw_di @ Y3 @ Y2 )
                            & ( Y1 @ Y3 @ Y2 ) ) )
                    @ ^ [Y1: $i] :
                        ( ^ [Y2: $i > mworld > $o,Y3: mworld] :
                            ( ?? @ $i
                            @ ^ [Y4: $i] :
                                ( ( eiw_di @ Y4 @ Y3 )
                                & ( Y2 @ Y4 @ Y3 ) ) )
                        @ ^ [Y2: $i] :
                            ( ^ [Y3: $i > mworld > $o,Y4: mworld] :
                                ( ?? @ $i
                                @ ^ [Y5: $i] :
                                    ( ( eiw_di @ Y5 @ Y4 )
                                    & ( Y3 @ Y5 @ Y4 ) ) )
                            @ ^ [Y3: $i] :
                                ( ^ [Y4: $i > mworld > $o,Y5: mworld] :
                                    ( ?? @ $i
                                    @ ^ [Y6: $i] :
                                        ( ( eiw_di @ Y6 @ Y5 )
                                        & ( Y4 @ Y6 @ Y5 ) ) )
                                @ ^ [Y4: $i] :
                                    ( ^ [Y5: $i > mworld > $o,Y6: mworld] :
                                        ( ?? @ $i
                                        @ ^ [Y7: $i] :
                                            ( ( eiw_di @ Y7 @ Y6 )
                                            & ( Y5 @ Y7 @ Y6 ) ) )
                                    @ ^ [Y5: $i] :
                                        ( ^ [Y6: $i > mworld > $o,Y7: mworld] :
                                            ( ?? @ $i
                                            @ ^ [Y8: $i] :
                                                ( ( eiw_di @ Y8 @ Y7 )
                                                & ( Y6 @ Y8 @ Y7 ) ) )
                                        @ ^ [Y6: $i] :
                                            ( ^ [Y7: $i > mworld > $o,Y8: mworld] :
                                                ( ?? @ $i
                                                @ ^ [Y9: $i] :
                                                    ( ( eiw_di @ Y9 @ Y8 )
                                                    & ( Y7 @ Y9 @ Y8 ) ) )
                                            @ ^ [Y7: $i] :
                                                ( ^ [Y8: $i > mworld > $o,Y9: mworld] :
                                                    ( ?? @ $i
                                                    @ ^ [Y10: $i] :
                                                        ( ( eiw_di @ Y10 @ Y9 )
                                                        & ( Y8 @ Y10 @ Y9 ) ) )
                                                @ ^ [Y8: $i] :
                                                    ( ^ [Y9: $i > mworld > $o,Y10: mworld] :
                                                        ( ?? @ $i
                                                        @ ^ [Y11: $i] :
                                                            ( ( eiw_di @ Y11 @ Y10 )
                                                            & ( Y9 @ Y11 @ Y10 ) ) )
                                                    @ ^ [Y9: $i] :
                                                        ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                            ( ( Y10 @ Y12 )
                                                            & ( Y11 @ Y12 ) )
                                                        @ ( seat @ Y0 )
                                                        @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                              ( ( Y10 @ Y12 )
                                                              & ( Y11 @ Y12 ) )
                                                          @ ( furniture @ Y0 )
                                                          @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                ( ( Y10 @ Y12 )
                                                                & ( Y11 @ Y12 ) )
                                                            @ ( front @ Y0 )
                                                            @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                  ( ( Y10 @ Y12 )
                                                                  & ( Y11 @ Y12 ) )
                                                              @ ( seat @ Y1 )
                                                              @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                    ( ( Y10 @ Y12 )
                                                                    & ( Y11 @ Y12 ) )
                                                                @ ( furniture @ Y1 )
                                                                @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                      ( ( Y10 @ Y12 )
                                                                      & ( Y11 @ Y12 ) )
                                                                  @ ( front @ Y1 )
                                                                  @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                        ( ( Y10 @ Y12 )
                                                                        & ( Y11 @ Y12 ) )
                                                                    @ ( hollywood @ Y2 )
                                                                    @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                          ( ( Y10 @ Y12 )
                                                                          & ( Y11 @ Y12 ) )
                                                                      @ ( city @ Y2 )
                                                                      @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                            ( ( Y10 @ Y12 )
                                                                            & ( Y11 @ Y12 ) )
                                                                        @ ( event @ Y3 )
                                                                        @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                              ( ( Y10 @ Y12 )
                                                                              & ( Y11 @ Y12 ) )
                                                                          @ ( street @ Y4 )
                                                                          @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                ( ( Y10 @ Y12 )
                                                                                & ( Y11 @ Y12 ) )
                                                                            @ ( way @ Y4 )
                                                                            @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                  ( ( Y10 @ Y12 )
                                                                                  & ( Y11 @ Y12 ) )
                                                                              @ ( lonely @ Y4 )
                                                                              @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                    ( ( Y10 @ Y12 )
                                                                                    & ( Y11 @ Y12 ) )
                                                                                @ ( chevy @ Y5 )
                                                                                @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                      ( ( Y10 @ Y12 )
                                                                                      & ( Y11 @ Y12 ) )
                                                                                  @ ( car @ Y5 )
                                                                                  @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                        ( ( Y10 @ Y12 )
                                                                                        & ( Y11 @ Y12 ) )
                                                                                    @ ( white @ Y5 )
                                                                                    @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                          ( ( Y10 @ Y12 )
                                                                                          & ( Y11 @ Y12 ) )
                                                                                      @ ( dirty @ Y5 )
                                                                                      @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                            ( ( Y10 @ Y12 )
                                                                                            & ( Y11 @ Y12 ) )
                                                                                        @ ( old @ Y5 )
                                                                                        @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                              ( ( Y10 @ Y12 )
                                                                                              & ( Y11 @ Y12 ) )
                                                                                          @ ( barrel @ Y3 @ Y5 )
                                                                                          @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                ( ( Y10 @ Y12 )
                                                                                                & ( Y11 @ Y12 ) )
                                                                                            @ ( down @ Y3 @ Y4 )
                                                                                            @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                  ( ( Y10 @ Y12 )
                                                                                                  & ( Y11 @ Y12 ) )
                                                                                              @ ( in @ Y3 @ Y2 )
                                                                                              @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                    ( ( Y10 @ Y12 )
                                                                                                    & ( Y11 @ Y12 ) )
                                                                                                @ ( ^ [Y10: mworld > $o,Y11: mworld] :
                                                                                                      ~ ( Y10 @ Y11 )
                                                                                                  @ ( qmltpeq @ Y6 @ Y7 ) )
                                                                                                @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                      ( ( Y10 @ Y12 )
                                                                                                      & ( Y11 @ Y12 ) )
                                                                                                  @ ( fellow @ Y6 )
                                                                                                  @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                        ( ( Y10 @ Y12 )
                                                                                                        & ( Y11 @ Y12 ) )
                                                                                                    @ ( man @ Y6 )
                                                                                                    @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                          ( ( Y10 @ Y12 )
                                                                                                          & ( Y11 @ Y12 ) )
                                                                                                      @ ( young @ Y6 )
                                                                                                      @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                            ( ( Y10 @ Y12 )
                                                                                                            & ( Y11 @ Y12 ) )
                                                                                                        @ ( fellow @ Y7 )
                                                                                                        @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                              ( ( Y10 @ Y12 )
                                                                                                              & ( Y11 @ Y12 ) )
                                                                                                          @ ( man @ Y7 )
                                                                                                          @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                                ( ( Y10 @ Y12 )
                                                                                                                & ( Y11 @ Y12 ) )
                                                                                                            @ ( young @ Y7 )
                                                                                                            @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                                  ( ( Y10 @ Y12 )
                                                                                                                  & ( Y11 @ Y12 ) )
                                                                                                              @ ( qmltpeq @ Y6 @ Y8 )
                                                                                                              @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                                    ( ( Y10 @ Y12 )
                                                                                                                    & ( Y11 @ Y12 ) )
                                                                                                                @ ( in @ Y8 @ Y0 )
                                                                                                                @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                                      ( ( Y10 @ Y12 )
                                                                                                                      & ( Y11 @ Y12 ) )
                                                                                                                  @ ( qmltpeq @ Y7 @ Y9 )
                                                                                                                  @ ( in @ Y9 @ Y1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
              @ ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
                    ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ Y1 )
                        & ( Y0 @ Y2 @ Y1 ) ) )
                @ ^ [Y0: $i] :
                    ( ^ [Y1: $i > mworld > $o,Y2: mworld] :
                        ( ?? @ $i
                        @ ^ [Y3: $i] :
                            ( ( eiw_di @ Y3 @ Y2 )
                            & ( Y1 @ Y3 @ Y2 ) ) )
                    @ ^ [Y1: $i] :
                        ( ^ [Y2: $i > mworld > $o,Y3: mworld] :
                            ( ?? @ $i
                            @ ^ [Y4: $i] :
                                ( ( eiw_di @ Y4 @ Y3 )
                                & ( Y2 @ Y4 @ Y3 ) ) )
                        @ ^ [Y2: $i] :
                            ( ^ [Y3: $i > mworld > $o,Y4: mworld] :
                                ( ?? @ $i
                                @ ^ [Y5: $i] :
                                    ( ( eiw_di @ Y5 @ Y4 )
                                    & ( Y3 @ Y5 @ Y4 ) ) )
                            @ ^ [Y3: $i] :
                                ( ^ [Y4: $i > mworld > $o,Y5: mworld] :
                                    ( ?? @ $i
                                    @ ^ [Y6: $i] :
                                        ( ( eiw_di @ Y6 @ Y5 )
                                        & ( Y4 @ Y6 @ Y5 ) ) )
                                @ ^ [Y4: $i] :
                                    ( ^ [Y5: $i > mworld > $o,Y6: mworld] :
                                        ( ?? @ $i
                                        @ ^ [Y7: $i] :
                                            ( ( eiw_di @ Y7 @ Y6 )
                                            & ( Y5 @ Y7 @ Y6 ) ) )
                                    @ ^ [Y5: $i] :
                                        ( ^ [Y6: $i > mworld > $o,Y7: mworld] :
                                            ( ?? @ $i
                                            @ ^ [Y8: $i] :
                                                ( ( eiw_di @ Y8 @ Y7 )
                                                & ( Y6 @ Y8 @ Y7 ) ) )
                                        @ ^ [Y6: $i] :
                                            ( ^ [Y7: $i > mworld > $o,Y8: mworld] :
                                                ( ?? @ $i
                                                @ ^ [Y9: $i] :
                                                    ( ( eiw_di @ Y9 @ Y8 )
                                                    & ( Y7 @ Y9 @ Y8 ) ) )
                                            @ ^ [Y7: $i] :
                                                ( ^ [Y8: $i > mworld > $o,Y9: mworld] :
                                                    ( ?? @ $i
                                                    @ ^ [Y10: $i] :
                                                        ( ( eiw_di @ Y10 @ Y9 )
                                                        & ( Y8 @ Y10 @ Y9 ) ) )
                                                @ ^ [Y8: $i] :
                                                    ( ^ [Y9: $i > mworld > $o,Y10: mworld] :
                                                        ( ?? @ $i
                                                        @ ^ [Y11: $i] :
                                                            ( ( eiw_di @ Y11 @ Y10 )
                                                            & ( Y9 @ Y11 @ Y10 ) ) )
                                                    @ ^ [Y9: $i] :
                                                        ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                            ( ( Y10 @ Y12 )
                                                            & ( Y11 @ Y12 ) )
                                                        @ ( seat @ Y0 )
                                                        @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                              ( ( Y10 @ Y12 )
                                                              & ( Y11 @ Y12 ) )
                                                          @ ( furniture @ Y0 )
                                                          @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                ( ( Y10 @ Y12 )
                                                                & ( Y11 @ Y12 ) )
                                                            @ ( front @ Y0 )
                                                            @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                  ( ( Y10 @ Y12 )
                                                                  & ( Y11 @ Y12 ) )
                                                              @ ( seat @ Y1 )
                                                              @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                    ( ( Y10 @ Y12 )
                                                                    & ( Y11 @ Y12 ) )
                                                                @ ( furniture @ Y1 )
                                                                @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                      ( ( Y10 @ Y12 )
                                                                      & ( Y11 @ Y12 ) )
                                                                  @ ( front @ Y1 )
                                                                  @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                        ( ( Y10 @ Y12 )
                                                                        & ( Y11 @ Y12 ) )
                                                                    @ ( hollywood @ Y2 )
                                                                    @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                          ( ( Y10 @ Y12 )
                                                                          & ( Y11 @ Y12 ) )
                                                                      @ ( city @ Y2 )
                                                                      @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                            ( ( Y10 @ Y12 )
                                                                            & ( Y11 @ Y12 ) )
                                                                        @ ( event @ Y3 )
                                                                        @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                              ( ( Y10 @ Y12 )
                                                                              & ( Y11 @ Y12 ) )
                                                                          @ ( chevy @ Y4 )
                                                                          @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                ( ( Y10 @ Y12 )
                                                                                & ( Y11 @ Y12 ) )
                                                                            @ ( car @ Y4 )
                                                                            @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                  ( ( Y10 @ Y12 )
                                                                                  & ( Y11 @ Y12 ) )
                                                                              @ ( white @ Y4 )
                                                                              @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                    ( ( Y10 @ Y12 )
                                                                                    & ( Y11 @ Y12 ) )
                                                                                @ ( dirty @ Y4 )
                                                                                @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                      ( ( Y10 @ Y12 )
                                                                                      & ( Y11 @ Y12 ) )
                                                                                  @ ( old @ Y4 )
                                                                                  @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                        ( ( Y10 @ Y12 )
                                                                                        & ( Y11 @ Y12 ) )
                                                                                    @ ( street @ Y5 )
                                                                                    @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                          ( ( Y10 @ Y12 )
                                                                                          & ( Y11 @ Y12 ) )
                                                                                      @ ( way @ Y5 )
                                                                                      @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                            ( ( Y10 @ Y12 )
                                                                                            & ( Y11 @ Y12 ) )
                                                                                        @ ( lonely @ Y5 )
                                                                                        @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                              ( ( Y10 @ Y12 )
                                                                                              & ( Y11 @ Y12 ) )
                                                                                          @ ( barrel @ Y3 @ Y4 )
                                                                                          @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                ( ( Y10 @ Y12 )
                                                                                                & ( Y11 @ Y12 ) )
                                                                                            @ ( down @ Y3 @ Y5 )
                                                                                            @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                  ( ( Y10 @ Y12 )
                                                                                                  & ( Y11 @ Y12 ) )
                                                                                              @ ( in @ Y3 @ Y2 )
                                                                                              @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                    ( ( Y10 @ Y12 )
                                                                                                    & ( Y11 @ Y12 ) )
                                                                                                @ ( ^ [Y10: mworld > $o,Y11: mworld] :
                                                                                                      ~ ( Y10 @ Y11 )
                                                                                                  @ ( qmltpeq @ Y6 @ Y7 ) )
                                                                                                @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                      ( ( Y10 @ Y12 )
                                                                                                      & ( Y11 @ Y12 ) )
                                                                                                  @ ( fellow @ Y6 )
                                                                                                  @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                        ( ( Y10 @ Y12 )
                                                                                                        & ( Y11 @ Y12 ) )
                                                                                                    @ ( man @ Y6 )
                                                                                                    @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                          ( ( Y10 @ Y12 )
                                                                                                          & ( Y11 @ Y12 ) )
                                                                                                      @ ( young @ Y6 )
                                                                                                      @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                            ( ( Y10 @ Y12 )
                                                                                                            & ( Y11 @ Y12 ) )
                                                                                                        @ ( fellow @ Y7 )
                                                                                                        @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                              ( ( Y10 @ Y12 )
                                                                                                              & ( Y11 @ Y12 ) )
                                                                                                          @ ( man @ Y7 )
                                                                                                          @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                                ( ( Y10 @ Y12 )
                                                                                                                & ( Y11 @ Y12 ) )
                                                                                                            @ ( young @ Y7 )
                                                                                                            @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                                  ( ( Y10 @ Y12 )
                                                                                                                  & ( Y11 @ Y12 ) )
                                                                                                              @ ( qmltpeq @ Y6 @ Y8 )
                                                                                                              @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                                    ( ( Y10 @ Y12 )
                                                                                                                    & ( Y11 @ Y12 ) )
                                                                                                                @ ( in @ Y8 @ Y0 )
                                                                                                                @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                                      ( ( Y10 @ Y12 )
                                                                                                                      & ( Y11 @ Y12 ) )
                                                                                                                  @ ( qmltpeq @ Y7 @ Y9 )
                                                                                                                  @ ( in @ Y9 @ Y1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
            @ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
                  ( ( Y0 @ Y2 )
                 => ( Y1 @ Y2 ) )
              @ ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
                    ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ Y1 )
                        & ( Y0 @ Y2 @ Y1 ) ) )
                @ ^ [Y0: $i] :
                    ( ^ [Y1: $i > mworld > $o,Y2: mworld] :
                        ( ?? @ $i
                        @ ^ [Y3: $i] :
                            ( ( eiw_di @ Y3 @ Y2 )
                            & ( Y1 @ Y3 @ Y2 ) ) )
                    @ ^ [Y1: $i] :
                        ( ^ [Y2: $i > mworld > $o,Y3: mworld] :
                            ( ?? @ $i
                            @ ^ [Y4: $i] :
                                ( ( eiw_di @ Y4 @ Y3 )
                                & ( Y2 @ Y4 @ Y3 ) ) )
                        @ ^ [Y2: $i] :
                            ( ^ [Y3: $i > mworld > $o,Y4: mworld] :
                                ( ?? @ $i
                                @ ^ [Y5: $i] :
                                    ( ( eiw_di @ Y5 @ Y4 )
                                    & ( Y3 @ Y5 @ Y4 ) ) )
                            @ ^ [Y3: $i] :
                                ( ^ [Y4: $i > mworld > $o,Y5: mworld] :
                                    ( ?? @ $i
                                    @ ^ [Y6: $i] :
                                        ( ( eiw_di @ Y6 @ Y5 )
                                        & ( Y4 @ Y6 @ Y5 ) ) )
                                @ ^ [Y4: $i] :
                                    ( ^ [Y5: $i > mworld > $o,Y6: mworld] :
                                        ( ?? @ $i
                                        @ ^ [Y7: $i] :
                                            ( ( eiw_di @ Y7 @ Y6 )
                                            & ( Y5 @ Y7 @ Y6 ) ) )
                                    @ ^ [Y5: $i] :
                                        ( ^ [Y6: $i > mworld > $o,Y7: mworld] :
                                            ( ?? @ $i
                                            @ ^ [Y8: $i] :
                                                ( ( eiw_di @ Y8 @ Y7 )
                                                & ( Y6 @ Y8 @ Y7 ) ) )
                                        @ ^ [Y6: $i] :
                                            ( ^ [Y7: $i > mworld > $o,Y8: mworld] :
                                                ( ?? @ $i
                                                @ ^ [Y9: $i] :
                                                    ( ( eiw_di @ Y9 @ Y8 )
                                                    & ( Y7 @ Y9 @ Y8 ) ) )
                                            @ ^ [Y7: $i] :
                                                ( ^ [Y8: $i > mworld > $o,Y9: mworld] :
                                                    ( ?? @ $i
                                                    @ ^ [Y10: $i] :
                                                        ( ( eiw_di @ Y10 @ Y9 )
                                                        & ( Y8 @ Y10 @ Y9 ) ) )
                                                @ ^ [Y8: $i] :
                                                    ( ^ [Y9: $i > mworld > $o,Y10: mworld] :
                                                        ( ?? @ $i
                                                        @ ^ [Y11: $i] :
                                                            ( ( eiw_di @ Y11 @ Y10 )
                                                            & ( Y9 @ Y11 @ Y10 ) ) )
                                                    @ ^ [Y9: $i] :
                                                        ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                            ( ( Y10 @ Y12 )
                                                            & ( Y11 @ Y12 ) )
                                                        @ ( seat @ Y0 )
                                                        @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                              ( ( Y10 @ Y12 )
                                                              & ( Y11 @ Y12 ) )
                                                          @ ( furniture @ Y0 )
                                                          @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                ( ( Y10 @ Y12 )
                                                                & ( Y11 @ Y12 ) )
                                                            @ ( front @ Y0 )
                                                            @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                  ( ( Y10 @ Y12 )
                                                                  & ( Y11 @ Y12 ) )
                                                              @ ( seat @ Y1 )
                                                              @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                    ( ( Y10 @ Y12 )
                                                                    & ( Y11 @ Y12 ) )
                                                                @ ( furniture @ Y1 )
                                                                @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                      ( ( Y10 @ Y12 )
                                                                      & ( Y11 @ Y12 ) )
                                                                  @ ( front @ Y1 )
                                                                  @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                        ( ( Y10 @ Y12 )
                                                                        & ( Y11 @ Y12 ) )
                                                                    @ ( hollywood @ Y2 )
                                                                    @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                          ( ( Y10 @ Y12 )
                                                                          & ( Y11 @ Y12 ) )
                                                                      @ ( city @ Y2 )
                                                                      @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                            ( ( Y10 @ Y12 )
                                                                            & ( Y11 @ Y12 ) )
                                                                        @ ( event @ Y3 )
                                                                        @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                              ( ( Y10 @ Y12 )
                                                                              & ( Y11 @ Y12 ) )
                                                                          @ ( chevy @ Y4 )
                                                                          @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                ( ( Y10 @ Y12 )
                                                                                & ( Y11 @ Y12 ) )
                                                                            @ ( car @ Y4 )
                                                                            @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                  ( ( Y10 @ Y12 )
                                                                                  & ( Y11 @ Y12 ) )
                                                                              @ ( white @ Y4 )
                                                                              @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                    ( ( Y10 @ Y12 )
                                                                                    & ( Y11 @ Y12 ) )
                                                                                @ ( dirty @ Y4 )
                                                                                @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                      ( ( Y10 @ Y12 )
                                                                                      & ( Y11 @ Y12 ) )
                                                                                  @ ( old @ Y4 )
                                                                                  @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                        ( ( Y10 @ Y12 )
                                                                                        & ( Y11 @ Y12 ) )
                                                                                    @ ( street @ Y5 )
                                                                                    @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                          ( ( Y10 @ Y12 )
                                                                                          & ( Y11 @ Y12 ) )
                                                                                      @ ( way @ Y5 )
                                                                                      @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                            ( ( Y10 @ Y12 )
                                                                                            & ( Y11 @ Y12 ) )
                                                                                        @ ( lonely @ Y5 )
                                                                                        @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                              ( ( Y10 @ Y12 )
                                                                                              & ( Y11 @ Y12 ) )
                                                                                          @ ( barrel @ Y3 @ Y4 )
                                                                                          @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                ( ( Y10 @ Y12 )
                                                                                                & ( Y11 @ Y12 ) )
                                                                                            @ ( down @ Y3 @ Y5 )
                                                                                            @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                  ( ( Y10 @ Y12 )
                                                                                                  & ( Y11 @ Y12 ) )
                                                                                              @ ( in @ Y3 @ Y2 )
                                                                                              @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                    ( ( Y10 @ Y12 )
                                                                                                    & ( Y11 @ Y12 ) )
                                                                                                @ ( ^ [Y10: mworld > $o,Y11: mworld] :
                                                                                                      ~ ( Y10 @ Y11 )
                                                                                                  @ ( qmltpeq @ Y6 @ Y7 ) )
                                                                                                @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                      ( ( Y10 @ Y12 )
                                                                                                      & ( Y11 @ Y12 ) )
                                                                                                  @ ( fellow @ Y6 )
                                                                                                  @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                        ( ( Y10 @ Y12 )
                                                                                                        & ( Y11 @ Y12 ) )
                                                                                                    @ ( man @ Y6 )
                                                                                                    @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                          ( ( Y10 @ Y12 )
                                                                                                          & ( Y11 @ Y12 ) )
                                                                                                      @ ( young @ Y6 )
                                                                                                      @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                            ( ( Y10 @ Y12 )
                                                                                                            & ( Y11 @ Y12 ) )
                                                                                                        @ ( fellow @ Y7 )
                                                                                                        @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                              ( ( Y10 @ Y12 )
                                                                                                              & ( Y11 @ Y12 ) )
                                                                                                          @ ( man @ Y7 )
                                                                                                          @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                                ( ( Y10 @ Y12 )
                                                                                                                & ( Y11 @ Y12 ) )
                                                                                                            @ ( young @ Y7 )
                                                                                                            @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                                  ( ( Y10 @ Y12 )
                                                                                                                  & ( Y11 @ Y12 ) )
                                                                                                              @ ( qmltpeq @ Y6 @ Y8 )
                                                                                                              @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                                    ( ( Y10 @ Y12 )
                                                                                                                    & ( Y11 @ Y12 ) )
                                                                                                                @ ( in @ Y8 @ Y0 )
                                                                                                                @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                                      ( ( Y10 @ Y12 )
                                                                                                                      & ( Y11 @ Y12 ) )
                                                                                                                  @ ( qmltpeq @ Y7 @ Y9 )
                                                                                                                  @ ( in @ Y9 @ Y1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
              @ ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
                    ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ Y1 )
                        & ( Y0 @ Y2 @ Y1 ) ) )
                @ ^ [Y0: $i] :
                    ( ^ [Y1: $i > mworld > $o,Y2: mworld] :
                        ( ?? @ $i
                        @ ^ [Y3: $i] :
                            ( ( eiw_di @ Y3 @ Y2 )
                            & ( Y1 @ Y3 @ Y2 ) ) )
                    @ ^ [Y1: $i] :
                        ( ^ [Y2: $i > mworld > $o,Y3: mworld] :
                            ( ?? @ $i
                            @ ^ [Y4: $i] :
                                ( ( eiw_di @ Y4 @ Y3 )
                                & ( Y2 @ Y4 @ Y3 ) ) )
                        @ ^ [Y2: $i] :
                            ( ^ [Y3: $i > mworld > $o,Y4: mworld] :
                                ( ?? @ $i
                                @ ^ [Y5: $i] :
                                    ( ( eiw_di @ Y5 @ Y4 )
                                    & ( Y3 @ Y5 @ Y4 ) ) )
                            @ ^ [Y3: $i] :
                                ( ^ [Y4: $i > mworld > $o,Y5: mworld] :
                                    ( ?? @ $i
                                    @ ^ [Y6: $i] :
                                        ( ( eiw_di @ Y6 @ Y5 )
                                        & ( Y4 @ Y6 @ Y5 ) ) )
                                @ ^ [Y4: $i] :
                                    ( ^ [Y5: $i > mworld > $o,Y6: mworld] :
                                        ( ?? @ $i
                                        @ ^ [Y7: $i] :
                                            ( ( eiw_di @ Y7 @ Y6 )
                                            & ( Y5 @ Y7 @ Y6 ) ) )
                                    @ ^ [Y5: $i] :
                                        ( ^ [Y6: $i > mworld > $o,Y7: mworld] :
                                            ( ?? @ $i
                                            @ ^ [Y8: $i] :
                                                ( ( eiw_di @ Y8 @ Y7 )
                                                & ( Y6 @ Y8 @ Y7 ) ) )
                                        @ ^ [Y6: $i] :
                                            ( ^ [Y7: $i > mworld > $o,Y8: mworld] :
                                                ( ?? @ $i
                                                @ ^ [Y9: $i] :
                                                    ( ( eiw_di @ Y9 @ Y8 )
                                                    & ( Y7 @ Y9 @ Y8 ) ) )
                                            @ ^ [Y7: $i] :
                                                ( ^ [Y8: $i > mworld > $o,Y9: mworld] :
                                                    ( ?? @ $i
                                                    @ ^ [Y10: $i] :
                                                        ( ( eiw_di @ Y10 @ Y9 )
                                                        & ( Y8 @ Y10 @ Y9 ) ) )
                                                @ ^ [Y8: $i] :
                                                    ( ^ [Y9: $i > mworld > $o,Y10: mworld] :
                                                        ( ?? @ $i
                                                        @ ^ [Y11: $i] :
                                                            ( ( eiw_di @ Y11 @ Y10 )
                                                            & ( Y9 @ Y11 @ Y10 ) ) )
                                                    @ ^ [Y9: $i] :
                                                        ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                            ( ( Y10 @ Y12 )
                                                            & ( Y11 @ Y12 ) )
                                                        @ ( seat @ Y0 )
                                                        @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                              ( ( Y10 @ Y12 )
                                                              & ( Y11 @ Y12 ) )
                                                          @ ( furniture @ Y0 )
                                                          @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                ( ( Y10 @ Y12 )
                                                                & ( Y11 @ Y12 ) )
                                                            @ ( front @ Y0 )
                                                            @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                  ( ( Y10 @ Y12 )
                                                                  & ( Y11 @ Y12 ) )
                                                              @ ( seat @ Y1 )
                                                              @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                    ( ( Y10 @ Y12 )
                                                                    & ( Y11 @ Y12 ) )
                                                                @ ( furniture @ Y1 )
                                                                @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                      ( ( Y10 @ Y12 )
                                                                      & ( Y11 @ Y12 ) )
                                                                  @ ( front @ Y1 )
                                                                  @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                        ( ( Y10 @ Y12 )
                                                                        & ( Y11 @ Y12 ) )
                                                                    @ ( hollywood @ Y2 )
                                                                    @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                          ( ( Y10 @ Y12 )
                                                                          & ( Y11 @ Y12 ) )
                                                                      @ ( city @ Y2 )
                                                                      @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                            ( ( Y10 @ Y12 )
                                                                            & ( Y11 @ Y12 ) )
                                                                        @ ( event @ Y3 )
                                                                        @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                              ( ( Y10 @ Y12 )
                                                                              & ( Y11 @ Y12 ) )
                                                                          @ ( street @ Y4 )
                                                                          @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                ( ( Y10 @ Y12 )
                                                                                & ( Y11 @ Y12 ) )
                                                                            @ ( way @ Y4 )
                                                                            @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                  ( ( Y10 @ Y12 )
                                                                                  & ( Y11 @ Y12 ) )
                                                                              @ ( lonely @ Y4 )
                                                                              @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                    ( ( Y10 @ Y12 )
                                                                                    & ( Y11 @ Y12 ) )
                                                                                @ ( chevy @ Y5 )
                                                                                @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                      ( ( Y10 @ Y12 )
                                                                                      & ( Y11 @ Y12 ) )
                                                                                  @ ( car @ Y5 )
                                                                                  @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                        ( ( Y10 @ Y12 )
                                                                                        & ( Y11 @ Y12 ) )
                                                                                    @ ( white @ Y5 )
                                                                                    @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                          ( ( Y10 @ Y12 )
                                                                                          & ( Y11 @ Y12 ) )
                                                                                      @ ( dirty @ Y5 )
                                                                                      @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                            ( ( Y10 @ Y12 )
                                                                                            & ( Y11 @ Y12 ) )
                                                                                        @ ( old @ Y5 )
                                                                                        @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                              ( ( Y10 @ Y12 )
                                                                                              & ( Y11 @ Y12 ) )
                                                                                          @ ( barrel @ Y3 @ Y5 )
                                                                                          @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                ( ( Y10 @ Y12 )
                                                                                                & ( Y11 @ Y12 ) )
                                                                                            @ ( down @ Y3 @ Y4 )
                                                                                            @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                  ( ( Y10 @ Y12 )
                                                                                                  & ( Y11 @ Y12 ) )
                                                                                              @ ( in @ Y3 @ Y2 )
                                                                                              @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                    ( ( Y10 @ Y12 )
                                                                                                    & ( Y11 @ Y12 ) )
                                                                                                @ ( ^ [Y10: mworld > $o,Y11: mworld] :
                                                                                                      ~ ( Y10 @ Y11 )
                                                                                                  @ ( qmltpeq @ Y6 @ Y7 ) )
                                                                                                @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                      ( ( Y10 @ Y12 )
                                                                                                      & ( Y11 @ Y12 ) )
                                                                                                  @ ( fellow @ Y6 )
                                                                                                  @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                        ( ( Y10 @ Y12 )
                                                                                                        & ( Y11 @ Y12 ) )
                                                                                                    @ ( man @ Y6 )
                                                                                                    @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                          ( ( Y10 @ Y12 )
                                                                                                          & ( Y11 @ Y12 ) )
                                                                                                      @ ( young @ Y6 )
                                                                                                      @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                            ( ( Y10 @ Y12 )
                                                                                                            & ( Y11 @ Y12 ) )
                                                                                                        @ ( fellow @ Y7 )
                                                                                                        @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                              ( ( Y10 @ Y12 )
                                                                                                              & ( Y11 @ Y12 ) )
                                                                                                          @ ( man @ Y7 )
                                                                                                          @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                                ( ( Y10 @ Y12 )
                                                                                                                & ( Y11 @ Y12 ) )
                                                                                                            @ ( young @ Y7 )
                                                                                                            @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                                  ( ( Y10 @ Y12 )
                                                                                                                  & ( Y11 @ Y12 ) )
                                                                                                              @ ( qmltpeq @ Y6 @ Y8 )
                                                                                                              @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                                    ( ( Y10 @ Y12 )
                                                                                                                    & ( Y11 @ Y12 ) )
                                                                                                                @ ( in @ Y8 @ Y0 )
                                                                                                                @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                                      ( ( Y10 @ Y12 )
                                                                                                                      & ( Y11 @ Y12 ) )
                                                                                                                  @ ( qmltpeq @ Y7 @ Y9 )
                                                                                                                  @ ( in @ Y9 @ Y1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    = $true ),
    inference(definition_unfolding,[],[f145,f129,f156,f118,f148,f148,f148,f148,f148,f148,f148,f148,f148,f148,f156,f156,f156,f156,f156,f156,f156,f156,f156,f156,f156,f156,f156,f156,f156,f156,f156,f156,f156,f156,f156,f140,f156,f156,f156,f156,f156,f156,f156,f156,f156,f148,f148,f148,f148,f148,f148,f148,f148,f148,f148,f156,f156,f156,f156,f156,f156,f156,f156,f156,f156,f156,f156,f156,f156,f156,f156,f156,f156,f156,f156,f156,f140,f156,f156,f156,f156,f156,f156,f156,f156,f156,f118,f148,f148,f148,f148,f148,f148,f148,f148,f148,f148,f156,f156,f156,f156,f156,f156,f156,f156,f156,f156,f156,f156,f156,f156,f156,f156,f156,f156,f156,f156,f156,f140,f156,f156,f156,f156,f156,f156,f156,f156,f156,f148,f148,f148,f148,f148,f148,f148,f148,f148,f148,f156,f156,f156,f156,f156,f156,f156,f156,f156,f156,f156,f156,f156,f156,f156,f156,f156,f156,f156,f156,f156,f140,f156,f156,f156,f156,f156,f156,f156,f156,f156]) ).

thf(f213,plain,
    ( ( ~ ( ( ( ?? @ $i
              @ ^ [Y0: $i] :
                  ( ( eiw_di @ Y0 @ mactual )
                  & ( ?? @ $i
                    @ ^ [Y1: $i] :
                        ( ( eiw_di @ Y1 @ mactual )
                        & ( ?? @ $i
                          @ ^ [Y2: $i] :
                              ( ( eiw_di @ Y2 @ mactual )
                              & ( ?? @ $i
                                @ ^ [Y3: $i] :
                                    ( ( eiw_di @ Y3 @ mactual )
                                    & ( ?? @ $i
                                      @ ^ [Y4: $i] :
                                          ( ( eiw_di @ Y4 @ mactual )
                                          & ( ?? @ $i
                                            @ ^ [Y5: $i] :
                                                ( ( eiw_di @ Y5 @ mactual )
                                                & ( ?? @ $i
                                                  @ ^ [Y6: $i] :
                                                      ( ( eiw_di @ Y6 @ mactual )
                                                      & ( ?? @ $i
                                                        @ ^ [Y7: $i] :
                                                            ( ( eiw_di @ Y7 @ mactual )
                                                            & ( ?? @ $i
                                                              @ ^ [Y8: $i] :
                                                                  ( ( eiw_di @ Y8 @ mactual )
                                                                  & ( ?? @ $i
                                                                    @ ^ [Y9: $i] :
                                                                        ( ( eiw_di @ Y9 @ mactual )
                                                                        & ( seat @ Y0 @ mactual )
                                                                        & ( furniture @ Y0 @ mactual )
                                                                        & ( front @ Y0 @ mactual )
                                                                        & ( seat @ Y1 @ mactual )
                                                                        & ( furniture @ Y1 @ mactual )
                                                                        & ( front @ Y1 @ mactual )
                                                                        & ( hollywood @ Y2 @ mactual )
                                                                        & ( city @ Y2 @ mactual )
                                                                        & ( event @ Y3 @ mactual )
                                                                        & ( street @ Y4 @ mactual )
                                                                        & ( way @ Y4 @ mactual )
                                                                        & ( lonely @ Y4 @ mactual )
                                                                        & ( chevy @ Y5 @ mactual )
                                                                        & ( car @ Y5 @ mactual )
                                                                        & ( white @ Y5 @ mactual )
                                                                        & ( dirty @ Y5 @ mactual )
                                                                        & ( old @ Y5 @ mactual )
                                                                        & ( barrel @ Y3 @ Y5 @ mactual )
                                                                        & ( down @ Y3 @ Y4 @ mactual )
                                                                        & ( in @ Y3 @ Y2 @ mactual )
                                                                        & ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
                                                                        & ( fellow @ Y6 @ mactual )
                                                                        & ( man @ Y6 @ mactual )
                                                                        & ( young @ Y6 @ mactual )
                                                                        & ( fellow @ Y7 @ mactual )
                                                                        & ( man @ Y7 @ mactual )
                                                                        & ( young @ Y7 @ mactual )
                                                                        & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                        & ( in @ Y8 @ Y0 @ mactual )
                                                                        & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                        & ( in @ Y9 @ Y1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
           => ( ?? @ $i
              @ ^ [Y0: $i] :
                  ( ( eiw_di @ Y0 @ mactual )
                  & ( ?? @ $i
                    @ ^ [Y1: $i] :
                        ( ( eiw_di @ Y1 @ mactual )
                        & ( ?? @ $i
                          @ ^ [Y2: $i] :
                              ( ( eiw_di @ Y2 @ mactual )
                              & ( ?? @ $i
                                @ ^ [Y3: $i] :
                                    ( ( eiw_di @ Y3 @ mactual )
                                    & ( ?? @ $i
                                      @ ^ [Y4: $i] :
                                          ( ( eiw_di @ Y4 @ mactual )
                                          & ( ?? @ $i
                                            @ ^ [Y5: $i] :
                                                ( ( eiw_di @ Y5 @ mactual )
                                                & ( ?? @ $i
                                                  @ ^ [Y6: $i] :
                                                      ( ( eiw_di @ Y6 @ mactual )
                                                      & ( ?? @ $i
                                                        @ ^ [Y7: $i] :
                                                            ( ( eiw_di @ Y7 @ mactual )
                                                            & ( ?? @ $i
                                                              @ ^ [Y8: $i] :
                                                                  ( ( eiw_di @ Y8 @ mactual )
                                                                  & ( ?? @ $i
                                                                    @ ^ [Y9: $i] :
                                                                        ( ( eiw_di @ Y9 @ mactual )
                                                                        & ( seat @ Y0 @ mactual )
                                                                        & ( furniture @ Y0 @ mactual )
                                                                        & ( front @ Y0 @ mactual )
                                                                        & ( seat @ Y1 @ mactual )
                                                                        & ( furniture @ Y1 @ mactual )
                                                                        & ( front @ Y1 @ mactual )
                                                                        & ( hollywood @ Y2 @ mactual )
                                                                        & ( city @ Y2 @ mactual )
                                                                        & ( event @ Y3 @ mactual )
                                                                        & ( chevy @ Y4 @ mactual )
                                                                        & ( car @ Y4 @ mactual )
                                                                        & ( white @ Y4 @ mactual )
                                                                        & ( dirty @ Y4 @ mactual )
                                                                        & ( old @ Y4 @ mactual )
                                                                        & ( street @ Y5 @ mactual )
                                                                        & ( way @ Y5 @ mactual )
                                                                        & ( lonely @ Y5 @ mactual )
                                                                        & ( barrel @ Y3 @ Y4 @ mactual )
                                                                        & ( down @ Y3 @ Y5 @ mactual )
                                                                        & ( in @ Y3 @ Y2 @ mactual )
                                                                        & ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
                                                                        & ( fellow @ Y6 @ mactual )
                                                                        & ( man @ Y6 @ mactual )
                                                                        & ( young @ Y6 @ mactual )
                                                                        & ( fellow @ Y7 @ mactual )
                                                                        & ( man @ Y7 @ mactual )
                                                                        & ( young @ Y7 @ mactual )
                                                                        & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                        & ( in @ Y8 @ Y0 @ mactual )
                                                                        & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                        & ( in @ Y9 @ Y1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
          & ( ( ?? @ $i
              @ ^ [Y0: $i] :
                  ( ( eiw_di @ Y0 @ mactual )
                  & ( ?? @ $i
                    @ ^ [Y1: $i] :
                        ( ( eiw_di @ Y1 @ mactual )
                        & ( ?? @ $i
                          @ ^ [Y2: $i] :
                              ( ( eiw_di @ Y2 @ mactual )
                              & ( ?? @ $i
                                @ ^ [Y3: $i] :
                                    ( ( eiw_di @ Y3 @ mactual )
                                    & ( ?? @ $i
                                      @ ^ [Y4: $i] :
                                          ( ( eiw_di @ Y4 @ mactual )
                                          & ( ?? @ $i
                                            @ ^ [Y5: $i] :
                                                ( ( eiw_di @ Y5 @ mactual )
                                                & ( ?? @ $i
                                                  @ ^ [Y6: $i] :
                                                      ( ( eiw_di @ Y6 @ mactual )
                                                      & ( ?? @ $i
                                                        @ ^ [Y7: $i] :
                                                            ( ( eiw_di @ Y7 @ mactual )
                                                            & ( ?? @ $i
                                                              @ ^ [Y8: $i] :
                                                                  ( ( eiw_di @ Y8 @ mactual )
                                                                  & ( ?? @ $i
                                                                    @ ^ [Y9: $i] :
                                                                        ( ( eiw_di @ Y9 @ mactual )
                                                                        & ( seat @ Y0 @ mactual )
                                                                        & ( furniture @ Y0 @ mactual )
                                                                        & ( front @ Y0 @ mactual )
                                                                        & ( seat @ Y1 @ mactual )
                                                                        & ( furniture @ Y1 @ mactual )
                                                                        & ( front @ Y1 @ mactual )
                                                                        & ( hollywood @ Y2 @ mactual )
                                                                        & ( city @ Y2 @ mactual )
                                                                        & ( event @ Y3 @ mactual )
                                                                        & ( chevy @ Y4 @ mactual )
                                                                        & ( car @ Y4 @ mactual )
                                                                        & ( white @ Y4 @ mactual )
                                                                        & ( dirty @ Y4 @ mactual )
                                                                        & ( old @ Y4 @ mactual )
                                                                        & ( street @ Y5 @ mactual )
                                                                        & ( way @ Y5 @ mactual )
                                                                        & ( lonely @ Y5 @ mactual )
                                                                        & ( barrel @ Y3 @ Y4 @ mactual )
                                                                        & ( down @ Y3 @ Y5 @ mactual )
                                                                        & ( in @ Y3 @ Y2 @ mactual )
                                                                        & ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
                                                                        & ( fellow @ Y6 @ mactual )
                                                                        & ( man @ Y6 @ mactual )
                                                                        & ( young @ Y6 @ mactual )
                                                                        & ( fellow @ Y7 @ mactual )
                                                                        & ( man @ Y7 @ mactual )
                                                                        & ( young @ Y7 @ mactual )
                                                                        & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                        & ( in @ Y8 @ Y0 @ mactual )
                                                                        & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                        & ( in @ Y9 @ Y1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
           => ( ?? @ $i
              @ ^ [Y0: $i] :
                  ( ( eiw_di @ Y0 @ mactual )
                  & ( ?? @ $i
                    @ ^ [Y1: $i] :
                        ( ( eiw_di @ Y1 @ mactual )
                        & ( ?? @ $i
                          @ ^ [Y2: $i] :
                              ( ( eiw_di @ Y2 @ mactual )
                              & ( ?? @ $i
                                @ ^ [Y3: $i] :
                                    ( ( eiw_di @ Y3 @ mactual )
                                    & ( ?? @ $i
                                      @ ^ [Y4: $i] :
                                          ( ( eiw_di @ Y4 @ mactual )
                                          & ( ?? @ $i
                                            @ ^ [Y5: $i] :
                                                ( ( eiw_di @ Y5 @ mactual )
                                                & ( ?? @ $i
                                                  @ ^ [Y6: $i] :
                                                      ( ( eiw_di @ Y6 @ mactual )
                                                      & ( ?? @ $i
                                                        @ ^ [Y7: $i] :
                                                            ( ( eiw_di @ Y7 @ mactual )
                                                            & ( ?? @ $i
                                                              @ ^ [Y8: $i] :
                                                                  ( ( eiw_di @ Y8 @ mactual )
                                                                  & ( ?? @ $i
                                                                    @ ^ [Y9: $i] :
                                                                        ( ( eiw_di @ Y9 @ mactual )
                                                                        & ( seat @ Y0 @ mactual )
                                                                        & ( furniture @ Y0 @ mactual )
                                                                        & ( front @ Y0 @ mactual )
                                                                        & ( seat @ Y1 @ mactual )
                                                                        & ( furniture @ Y1 @ mactual )
                                                                        & ( front @ Y1 @ mactual )
                                                                        & ( hollywood @ Y2 @ mactual )
                                                                        & ( city @ Y2 @ mactual )
                                                                        & ( event @ Y3 @ mactual )
                                                                        & ( street @ Y4 @ mactual )
                                                                        & ( way @ Y4 @ mactual )
                                                                        & ( lonely @ Y4 @ mactual )
                                                                        & ( chevy @ Y5 @ mactual )
                                                                        & ( car @ Y5 @ mactual )
                                                                        & ( white @ Y5 @ mactual )
                                                                        & ( dirty @ Y5 @ mactual )
                                                                        & ( old @ Y5 @ mactual )
                                                                        & ( barrel @ Y3 @ Y5 @ mactual )
                                                                        & ( down @ Y3 @ Y4 @ mactual )
                                                                        & ( in @ Y3 @ Y2 @ mactual )
                                                                        & ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
                                                                        & ( fellow @ Y6 @ mactual )
                                                                        & ( man @ Y6 @ mactual )
                                                                        & ( young @ Y6 @ mactual )
                                                                        & ( fellow @ Y7 @ mactual )
                                                                        & ( man @ Y7 @ mactual )
                                                                        & ( young @ Y7 @ mactual )
                                                                        & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                        & ( in @ Y8 @ Y0 @ mactual )
                                                                        & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                        & ( in @ Y9 @ Y1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    = $true ),
    inference(beta-eta_normalization,[],[f178]) ).

thf(f214,plain,
    ( $false
    = ( ( ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ?? @ $i
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( ?? @ $i
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ mactual )
                                      & ( ?? @ $i
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ mactual )
                                            & ( ?? @ $i
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ mactual )
                                                  & ( ?? @ $i
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ mactual )
                                                        & ( ?? @ $i
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ mactual )
                                                              & ( ?? @ $i
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ mactual )
                                                                    & ( seat @ Y0 @ mactual )
                                                                    & ( furniture @ Y0 @ mactual )
                                                                    & ( front @ Y0 @ mactual )
                                                                    & ( seat @ Y1 @ mactual )
                                                                    & ( furniture @ Y1 @ mactual )
                                                                    & ( front @ Y1 @ mactual )
                                                                    & ( hollywood @ Y2 @ mactual )
                                                                    & ( city @ Y2 @ mactual )
                                                                    & ( event @ Y3 @ mactual )
                                                                    & ( street @ Y4 @ mactual )
                                                                    & ( way @ Y4 @ mactual )
                                                                    & ( lonely @ Y4 @ mactual )
                                                                    & ( chevy @ Y5 @ mactual )
                                                                    & ( car @ Y5 @ mactual )
                                                                    & ( white @ Y5 @ mactual )
                                                                    & ( dirty @ Y5 @ mactual )
                                                                    & ( old @ Y5 @ mactual )
                                                                    & ( barrel @ Y3 @ Y5 @ mactual )
                                                                    & ( down @ Y3 @ Y4 @ mactual )
                                                                    & ( in @ Y3 @ Y2 @ mactual )
                                                                    & ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
                                                                    & ( fellow @ Y6 @ mactual )
                                                                    & ( man @ Y6 @ mactual )
                                                                    & ( young @ Y6 @ mactual )
                                                                    & ( fellow @ Y7 @ mactual )
                                                                    & ( man @ Y7 @ mactual )
                                                                    & ( young @ Y7 @ mactual )
                                                                    & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                    & ( in @ Y8 @ Y0 @ mactual )
                                                                    & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                    & ( in @ Y9 @ Y1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
       => ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ?? @ $i
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( ?? @ $i
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ mactual )
                                      & ( ?? @ $i
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ mactual )
                                            & ( ?? @ $i
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ mactual )
                                                  & ( ?? @ $i
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ mactual )
                                                        & ( ?? @ $i
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ mactual )
                                                              & ( ?? @ $i
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ mactual )
                                                                    & ( seat @ Y0 @ mactual )
                                                                    & ( furniture @ Y0 @ mactual )
                                                                    & ( front @ Y0 @ mactual )
                                                                    & ( seat @ Y1 @ mactual )
                                                                    & ( furniture @ Y1 @ mactual )
                                                                    & ( front @ Y1 @ mactual )
                                                                    & ( hollywood @ Y2 @ mactual )
                                                                    & ( city @ Y2 @ mactual )
                                                                    & ( event @ Y3 @ mactual )
                                                                    & ( chevy @ Y4 @ mactual )
                                                                    & ( car @ Y4 @ mactual )
                                                                    & ( white @ Y4 @ mactual )
                                                                    & ( dirty @ Y4 @ mactual )
                                                                    & ( old @ Y4 @ mactual )
                                                                    & ( street @ Y5 @ mactual )
                                                                    & ( way @ Y5 @ mactual )
                                                                    & ( lonely @ Y5 @ mactual )
                                                                    & ( barrel @ Y3 @ Y4 @ mactual )
                                                                    & ( down @ Y3 @ Y5 @ mactual )
                                                                    & ( in @ Y3 @ Y2 @ mactual )
                                                                    & ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
                                                                    & ( fellow @ Y6 @ mactual )
                                                                    & ( man @ Y6 @ mactual )
                                                                    & ( young @ Y6 @ mactual )
                                                                    & ( fellow @ Y7 @ mactual )
                                                                    & ( man @ Y7 @ mactual )
                                                                    & ( young @ Y7 @ mactual )
                                                                    & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                    & ( in @ Y8 @ Y0 @ mactual )
                                                                    & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                    & ( in @ Y9 @ Y1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      & ( ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ?? @ $i
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( ?? @ $i
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ mactual )
                                      & ( ?? @ $i
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ mactual )
                                            & ( ?? @ $i
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ mactual )
                                                  & ( ?? @ $i
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ mactual )
                                                        & ( ?? @ $i
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ mactual )
                                                              & ( ?? @ $i
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ mactual )
                                                                    & ( seat @ Y0 @ mactual )
                                                                    & ( furniture @ Y0 @ mactual )
                                                                    & ( front @ Y0 @ mactual )
                                                                    & ( seat @ Y1 @ mactual )
                                                                    & ( furniture @ Y1 @ mactual )
                                                                    & ( front @ Y1 @ mactual )
                                                                    & ( hollywood @ Y2 @ mactual )
                                                                    & ( city @ Y2 @ mactual )
                                                                    & ( event @ Y3 @ mactual )
                                                                    & ( chevy @ Y4 @ mactual )
                                                                    & ( car @ Y4 @ mactual )
                                                                    & ( white @ Y4 @ mactual )
                                                                    & ( dirty @ Y4 @ mactual )
                                                                    & ( old @ Y4 @ mactual )
                                                                    & ( street @ Y5 @ mactual )
                                                                    & ( way @ Y5 @ mactual )
                                                                    & ( lonely @ Y5 @ mactual )
                                                                    & ( barrel @ Y3 @ Y4 @ mactual )
                                                                    & ( down @ Y3 @ Y5 @ mactual )
                                                                    & ( in @ Y3 @ Y2 @ mactual )
                                                                    & ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
                                                                    & ( fellow @ Y6 @ mactual )
                                                                    & ( man @ Y6 @ mactual )
                                                                    & ( young @ Y6 @ mactual )
                                                                    & ( fellow @ Y7 @ mactual )
                                                                    & ( man @ Y7 @ mactual )
                                                                    & ( young @ Y7 @ mactual )
                                                                    & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                    & ( in @ Y8 @ Y0 @ mactual )
                                                                    & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                    & ( in @ Y9 @ Y1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
       => ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ?? @ $i
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( ?? @ $i
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ mactual )
                                      & ( ?? @ $i
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ mactual )
                                            & ( ?? @ $i
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ mactual )
                                                  & ( ?? @ $i
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ mactual )
                                                        & ( ?? @ $i
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ mactual )
                                                              & ( ?? @ $i
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ mactual )
                                                                    & ( seat @ Y0 @ mactual )
                                                                    & ( furniture @ Y0 @ mactual )
                                                                    & ( front @ Y0 @ mactual )
                                                                    & ( seat @ Y1 @ mactual )
                                                                    & ( furniture @ Y1 @ mactual )
                                                                    & ( front @ Y1 @ mactual )
                                                                    & ( hollywood @ Y2 @ mactual )
                                                                    & ( city @ Y2 @ mactual )
                                                                    & ( event @ Y3 @ mactual )
                                                                    & ( street @ Y4 @ mactual )
                                                                    & ( way @ Y4 @ mactual )
                                                                    & ( lonely @ Y4 @ mactual )
                                                                    & ( chevy @ Y5 @ mactual )
                                                                    & ( car @ Y5 @ mactual )
                                                                    & ( white @ Y5 @ mactual )
                                                                    & ( dirty @ Y5 @ mactual )
                                                                    & ( old @ Y5 @ mactual )
                                                                    & ( barrel @ Y3 @ Y5 @ mactual )
                                                                    & ( down @ Y3 @ Y4 @ mactual )
                                                                    & ( in @ Y3 @ Y2 @ mactual )
                                                                    & ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
                                                                    & ( fellow @ Y6 @ mactual )
                                                                    & ( man @ Y6 @ mactual )
                                                                    & ( young @ Y6 @ mactual )
                                                                    & ( fellow @ Y7 @ mactual )
                                                                    & ( man @ Y7 @ mactual )
                                                                    & ( young @ Y7 @ mactual )
                                                                    & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                    & ( in @ Y8 @ Y0 @ mactual )
                                                                    & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                    & ( in @ Y9 @ Y1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(not_proxy_clausification,[],[f213]) ).

thf(f215,plain,
    ( ( ( ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ?? @ $i
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( ?? @ $i
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ mactual )
                                      & ( ?? @ $i
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ mactual )
                                            & ( ?? @ $i
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ mactual )
                                                  & ( ?? @ $i
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ mactual )
                                                        & ( ?? @ $i
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ mactual )
                                                              & ( ?? @ $i
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ mactual )
                                                                    & ( seat @ Y0 @ mactual )
                                                                    & ( furniture @ Y0 @ mactual )
                                                                    & ( front @ Y0 @ mactual )
                                                                    & ( seat @ Y1 @ mactual )
                                                                    & ( furniture @ Y1 @ mactual )
                                                                    & ( front @ Y1 @ mactual )
                                                                    & ( hollywood @ Y2 @ mactual )
                                                                    & ( city @ Y2 @ mactual )
                                                                    & ( event @ Y3 @ mactual )
                                                                    & ( street @ Y4 @ mactual )
                                                                    & ( way @ Y4 @ mactual )
                                                                    & ( lonely @ Y4 @ mactual )
                                                                    & ( chevy @ Y5 @ mactual )
                                                                    & ( car @ Y5 @ mactual )
                                                                    & ( white @ Y5 @ mactual )
                                                                    & ( dirty @ Y5 @ mactual )
                                                                    & ( old @ Y5 @ mactual )
                                                                    & ( barrel @ Y3 @ Y5 @ mactual )
                                                                    & ( down @ Y3 @ Y4 @ mactual )
                                                                    & ( in @ Y3 @ Y2 @ mactual )
                                                                    & ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
                                                                    & ( fellow @ Y6 @ mactual )
                                                                    & ( man @ Y6 @ mactual )
                                                                    & ( young @ Y6 @ mactual )
                                                                    & ( fellow @ Y7 @ mactual )
                                                                    & ( man @ Y7 @ mactual )
                                                                    & ( young @ Y7 @ mactual )
                                                                    & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                    & ( in @ Y8 @ Y0 @ mactual )
                                                                    & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                    & ( in @ Y9 @ Y1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
       => ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ?? @ $i
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( ?? @ $i
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ mactual )
                                      & ( ?? @ $i
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ mactual )
                                            & ( ?? @ $i
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ mactual )
                                                  & ( ?? @ $i
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ mactual )
                                                        & ( ?? @ $i
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ mactual )
                                                              & ( ?? @ $i
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ mactual )
                                                                    & ( seat @ Y0 @ mactual )
                                                                    & ( furniture @ Y0 @ mactual )
                                                                    & ( front @ Y0 @ mactual )
                                                                    & ( seat @ Y1 @ mactual )
                                                                    & ( furniture @ Y1 @ mactual )
                                                                    & ( front @ Y1 @ mactual )
                                                                    & ( hollywood @ Y2 @ mactual )
                                                                    & ( city @ Y2 @ mactual )
                                                                    & ( event @ Y3 @ mactual )
                                                                    & ( chevy @ Y4 @ mactual )
                                                                    & ( car @ Y4 @ mactual )
                                                                    & ( white @ Y4 @ mactual )
                                                                    & ( dirty @ Y4 @ mactual )
                                                                    & ( old @ Y4 @ mactual )
                                                                    & ( street @ Y5 @ mactual )
                                                                    & ( way @ Y5 @ mactual )
                                                                    & ( lonely @ Y5 @ mactual )
                                                                    & ( barrel @ Y3 @ Y4 @ mactual )
                                                                    & ( down @ Y3 @ Y5 @ mactual )
                                                                    & ( in @ Y3 @ Y2 @ mactual )
                                                                    & ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
                                                                    & ( fellow @ Y6 @ mactual )
                                                                    & ( man @ Y6 @ mactual )
                                                                    & ( young @ Y6 @ mactual )
                                                                    & ( fellow @ Y7 @ mactual )
                                                                    & ( man @ Y7 @ mactual )
                                                                    & ( young @ Y7 @ mactual )
                                                                    & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                    & ( in @ Y8 @ Y0 @ mactual )
                                                                    & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                    & ( in @ Y9 @ Y1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      = $false )
    | ( ( ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ?? @ $i
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( ?? @ $i
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ mactual )
                                      & ( ?? @ $i
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ mactual )
                                            & ( ?? @ $i
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ mactual )
                                                  & ( ?? @ $i
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ mactual )
                                                        & ( ?? @ $i
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ mactual )
                                                              & ( ?? @ $i
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ mactual )
                                                                    & ( seat @ Y0 @ mactual )
                                                                    & ( furniture @ Y0 @ mactual )
                                                                    & ( front @ Y0 @ mactual )
                                                                    & ( seat @ Y1 @ mactual )
                                                                    & ( furniture @ Y1 @ mactual )
                                                                    & ( front @ Y1 @ mactual )
                                                                    & ( hollywood @ Y2 @ mactual )
                                                                    & ( city @ Y2 @ mactual )
                                                                    & ( event @ Y3 @ mactual )
                                                                    & ( chevy @ Y4 @ mactual )
                                                                    & ( car @ Y4 @ mactual )
                                                                    & ( white @ Y4 @ mactual )
                                                                    & ( dirty @ Y4 @ mactual )
                                                                    & ( old @ Y4 @ mactual )
                                                                    & ( street @ Y5 @ mactual )
                                                                    & ( way @ Y5 @ mactual )
                                                                    & ( lonely @ Y5 @ mactual )
                                                                    & ( barrel @ Y3 @ Y4 @ mactual )
                                                                    & ( down @ Y3 @ Y5 @ mactual )
                                                                    & ( in @ Y3 @ Y2 @ mactual )
                                                                    & ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
                                                                    & ( fellow @ Y6 @ mactual )
                                                                    & ( man @ Y6 @ mactual )
                                                                    & ( young @ Y6 @ mactual )
                                                                    & ( fellow @ Y7 @ mactual )
                                                                    & ( man @ Y7 @ mactual )
                                                                    & ( young @ Y7 @ mactual )
                                                                    & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                    & ( in @ Y8 @ Y0 @ mactual )
                                                                    & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                    & ( in @ Y9 @ Y1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
       => ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ?? @ $i
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( ?? @ $i
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ mactual )
                                      & ( ?? @ $i
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ mactual )
                                            & ( ?? @ $i
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ mactual )
                                                  & ( ?? @ $i
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ mactual )
                                                        & ( ?? @ $i
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ mactual )
                                                              & ( ?? @ $i
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ mactual )
                                                                    & ( seat @ Y0 @ mactual )
                                                                    & ( furniture @ Y0 @ mactual )
                                                                    & ( front @ Y0 @ mactual )
                                                                    & ( seat @ Y1 @ mactual )
                                                                    & ( furniture @ Y1 @ mactual )
                                                                    & ( front @ Y1 @ mactual )
                                                                    & ( hollywood @ Y2 @ mactual )
                                                                    & ( city @ Y2 @ mactual )
                                                                    & ( event @ Y3 @ mactual )
                                                                    & ( street @ Y4 @ mactual )
                                                                    & ( way @ Y4 @ mactual )
                                                                    & ( lonely @ Y4 @ mactual )
                                                                    & ( chevy @ Y5 @ mactual )
                                                                    & ( car @ Y5 @ mactual )
                                                                    & ( white @ Y5 @ mactual )
                                                                    & ( dirty @ Y5 @ mactual )
                                                                    & ( old @ Y5 @ mactual )
                                                                    & ( barrel @ Y3 @ Y5 @ mactual )
                                                                    & ( down @ Y3 @ Y4 @ mactual )
                                                                    & ( in @ Y3 @ Y2 @ mactual )
                                                                    & ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
                                                                    & ( fellow @ Y6 @ mactual )
                                                                    & ( man @ Y6 @ mactual )
                                                                    & ( young @ Y6 @ mactual )
                                                                    & ( fellow @ Y7 @ mactual )
                                                                    & ( man @ Y7 @ mactual )
                                                                    & ( young @ Y7 @ mactual )
                                                                    & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                    & ( in @ Y8 @ Y0 @ mactual )
                                                                    & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                    & ( in @ Y9 @ Y1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      = $false ) ),
    inference(and_proxy_clausification,[],[f214]) ).

thf(f216,plain,
    ( ( ( ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ?? @ $i
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( ?? @ $i
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ mactual )
                                      & ( ?? @ $i
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ mactual )
                                            & ( ?? @ $i
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ mactual )
                                                  & ( ?? @ $i
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ mactual )
                                                        & ( ?? @ $i
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ mactual )
                                                              & ( ?? @ $i
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ mactual )
                                                                    & ( seat @ Y0 @ mactual )
                                                                    & ( furniture @ Y0 @ mactual )
                                                                    & ( front @ Y0 @ mactual )
                                                                    & ( seat @ Y1 @ mactual )
                                                                    & ( furniture @ Y1 @ mactual )
                                                                    & ( front @ Y1 @ mactual )
                                                                    & ( hollywood @ Y2 @ mactual )
                                                                    & ( city @ Y2 @ mactual )
                                                                    & ( event @ Y3 @ mactual )
                                                                    & ( chevy @ Y4 @ mactual )
                                                                    & ( car @ Y4 @ mactual )
                                                                    & ( white @ Y4 @ mactual )
                                                                    & ( dirty @ Y4 @ mactual )
                                                                    & ( old @ Y4 @ mactual )
                                                                    & ( street @ Y5 @ mactual )
                                                                    & ( way @ Y5 @ mactual )
                                                                    & ( lonely @ Y5 @ mactual )
                                                                    & ( barrel @ Y3 @ Y4 @ mactual )
                                                                    & ( down @ Y3 @ Y5 @ mactual )
                                                                    & ( in @ Y3 @ Y2 @ mactual )
                                                                    & ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
                                                                    & ( fellow @ Y6 @ mactual )
                                                                    & ( man @ Y6 @ mactual )
                                                                    & ( young @ Y6 @ mactual )
                                                                    & ( fellow @ Y7 @ mactual )
                                                                    & ( man @ Y7 @ mactual )
                                                                    & ( young @ Y7 @ mactual )
                                                                    & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                    & ( in @ Y8 @ Y0 @ mactual )
                                                                    & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                    & ( in @ Y9 @ Y1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
       => ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ?? @ $i
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( ?? @ $i
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ mactual )
                                      & ( ?? @ $i
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ mactual )
                                            & ( ?? @ $i
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ mactual )
                                                  & ( ?? @ $i
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ mactual )
                                                        & ( ?? @ $i
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ mactual )
                                                              & ( ?? @ $i
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ mactual )
                                                                    & ( seat @ Y0 @ mactual )
                                                                    & ( furniture @ Y0 @ mactual )
                                                                    & ( front @ Y0 @ mactual )
                                                                    & ( seat @ Y1 @ mactual )
                                                                    & ( furniture @ Y1 @ mactual )
                                                                    & ( front @ Y1 @ mactual )
                                                                    & ( hollywood @ Y2 @ mactual )
                                                                    & ( city @ Y2 @ mactual )
                                                                    & ( event @ Y3 @ mactual )
                                                                    & ( street @ Y4 @ mactual )
                                                                    & ( way @ Y4 @ mactual )
                                                                    & ( lonely @ Y4 @ mactual )
                                                                    & ( chevy @ Y5 @ mactual )
                                                                    & ( car @ Y5 @ mactual )
                                                                    & ( white @ Y5 @ mactual )
                                                                    & ( dirty @ Y5 @ mactual )
                                                                    & ( old @ Y5 @ mactual )
                                                                    & ( barrel @ Y3 @ Y5 @ mactual )
                                                                    & ( down @ Y3 @ Y4 @ mactual )
                                                                    & ( in @ Y3 @ Y2 @ mactual )
                                                                    & ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
                                                                    & ( fellow @ Y6 @ mactual )
                                                                    & ( man @ Y6 @ mactual )
                                                                    & ( young @ Y6 @ mactual )
                                                                    & ( fellow @ Y7 @ mactual )
                                                                    & ( man @ Y7 @ mactual )
                                                                    & ( young @ Y7 @ mactual )
                                                                    & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                    & ( in @ Y8 @ Y0 @ mactual )
                                                                    & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                    & ( in @ Y9 @ Y1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      = $false )
    | ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ mactual )
                        & ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ mactual )
                              & ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( eiw_di @ Y4 @ mactual )
                                    & ( ?? @ $i
                                      @ ^ [Y5: $i] :
                                          ( ( eiw_di @ Y5 @ mactual )
                                          & ( ?? @ $i
                                            @ ^ [Y6: $i] :
                                                ( ( eiw_di @ Y6 @ mactual )
                                                & ( ?? @ $i
                                                  @ ^ [Y7: $i] :
                                                      ( ( eiw_di @ Y7 @ mactual )
                                                      & ( ?? @ $i
                                                        @ ^ [Y8: $i] :
                                                            ( ( eiw_di @ Y8 @ mactual )
                                                            & ( ?? @ $i
                                                              @ ^ [Y9: $i] :
                                                                  ( ( eiw_di @ Y9 @ mactual )
                                                                  & ( seat @ Y0 @ mactual )
                                                                  & ( furniture @ Y0 @ mactual )
                                                                  & ( front @ Y0 @ mactual )
                                                                  & ( seat @ Y1 @ mactual )
                                                                  & ( furniture @ Y1 @ mactual )
                                                                  & ( front @ Y1 @ mactual )
                                                                  & ( hollywood @ Y2 @ mactual )
                                                                  & ( city @ Y2 @ mactual )
                                                                  & ( event @ Y3 @ mactual )
                                                                  & ( chevy @ Y4 @ mactual )
                                                                  & ( car @ Y4 @ mactual )
                                                                  & ( white @ Y4 @ mactual )
                                                                  & ( dirty @ Y4 @ mactual )
                                                                  & ( old @ Y4 @ mactual )
                                                                  & ( street @ Y5 @ mactual )
                                                                  & ( way @ Y5 @ mactual )
                                                                  & ( lonely @ Y5 @ mactual )
                                                                  & ( barrel @ Y3 @ Y4 @ mactual )
                                                                  & ( down @ Y3 @ Y5 @ mactual )
                                                                  & ( in @ Y3 @ Y2 @ mactual )
                                                                  & ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
                                                                  & ( fellow @ Y6 @ mactual )
                                                                  & ( man @ Y6 @ mactual )
                                                                  & ( young @ Y6 @ mactual )
                                                                  & ( fellow @ Y7 @ mactual )
                                                                  & ( man @ Y7 @ mactual )
                                                                  & ( young @ Y7 @ mactual )
                                                                  & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                  & ( in @ Y8 @ Y0 @ mactual )
                                                                  & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                  & ( in @ Y9 @ Y1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      = $false ) ),
    inference(imp_proxy_clausification,[],[f215]) ).

thf(f217,plain,
    ( ( ( ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ?? @ $i
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( ?? @ $i
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ mactual )
                                      & ( ?? @ $i
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ mactual )
                                            & ( ?? @ $i
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ mactual )
                                                  & ( ?? @ $i
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ mactual )
                                                        & ( ?? @ $i
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ mactual )
                                                              & ( ?? @ $i
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ mactual )
                                                                    & ( seat @ Y0 @ mactual )
                                                                    & ( furniture @ Y0 @ mactual )
                                                                    & ( front @ Y0 @ mactual )
                                                                    & ( seat @ Y1 @ mactual )
                                                                    & ( furniture @ Y1 @ mactual )
                                                                    & ( front @ Y1 @ mactual )
                                                                    & ( hollywood @ Y2 @ mactual )
                                                                    & ( city @ Y2 @ mactual )
                                                                    & ( event @ Y3 @ mactual )
                                                                    & ( chevy @ Y4 @ mactual )
                                                                    & ( car @ Y4 @ mactual )
                                                                    & ( white @ Y4 @ mactual )
                                                                    & ( dirty @ Y4 @ mactual )
                                                                    & ( old @ Y4 @ mactual )
                                                                    & ( street @ Y5 @ mactual )
                                                                    & ( way @ Y5 @ mactual )
                                                                    & ( lonely @ Y5 @ mactual )
                                                                    & ( barrel @ Y3 @ Y4 @ mactual )
                                                                    & ( down @ Y3 @ Y5 @ mactual )
                                                                    & ( in @ Y3 @ Y2 @ mactual )
                                                                    & ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
                                                                    & ( fellow @ Y6 @ mactual )
                                                                    & ( man @ Y6 @ mactual )
                                                                    & ( young @ Y6 @ mactual )
                                                                    & ( fellow @ Y7 @ mactual )
                                                                    & ( man @ Y7 @ mactual )
                                                                    & ( young @ Y7 @ mactual )
                                                                    & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                    & ( in @ Y8 @ Y0 @ mactual )
                                                                    & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                    & ( in @ Y9 @ Y1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
       => ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ?? @ $i
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( ?? @ $i
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ mactual )
                                      & ( ?? @ $i
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ mactual )
                                            & ( ?? @ $i
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ mactual )
                                                  & ( ?? @ $i
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ mactual )
                                                        & ( ?? @ $i
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ mactual )
                                                              & ( ?? @ $i
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ mactual )
                                                                    & ( seat @ Y0 @ mactual )
                                                                    & ( furniture @ Y0 @ mactual )
                                                                    & ( front @ Y0 @ mactual )
                                                                    & ( seat @ Y1 @ mactual )
                                                                    & ( furniture @ Y1 @ mactual )
                                                                    & ( front @ Y1 @ mactual )
                                                                    & ( hollywood @ Y2 @ mactual )
                                                                    & ( city @ Y2 @ mactual )
                                                                    & ( event @ Y3 @ mactual )
                                                                    & ( street @ Y4 @ mactual )
                                                                    & ( way @ Y4 @ mactual )
                                                                    & ( lonely @ Y4 @ mactual )
                                                                    & ( chevy @ Y5 @ mactual )
                                                                    & ( car @ Y5 @ mactual )
                                                                    & ( white @ Y5 @ mactual )
                                                                    & ( dirty @ Y5 @ mactual )
                                                                    & ( old @ Y5 @ mactual )
                                                                    & ( barrel @ Y3 @ Y5 @ mactual )
                                                                    & ( down @ Y3 @ Y4 @ mactual )
                                                                    & ( in @ Y3 @ Y2 @ mactual )
                                                                    & ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
                                                                    & ( fellow @ Y6 @ mactual )
                                                                    & ( man @ Y6 @ mactual )
                                                                    & ( young @ Y6 @ mactual )
                                                                    & ( fellow @ Y7 @ mactual )
                                                                    & ( man @ Y7 @ mactual )
                                                                    & ( young @ Y7 @ mactual )
                                                                    & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                    & ( in @ Y8 @ Y0 @ mactual )
                                                                    & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                    & ( in @ Y9 @ Y1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      = $false )
    | ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ mactual )
                        & ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ mactual )
                              & ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( eiw_di @ Y4 @ mactual )
                                    & ( ?? @ $i
                                      @ ^ [Y5: $i] :
                                          ( ( eiw_di @ Y5 @ mactual )
                                          & ( ?? @ $i
                                            @ ^ [Y6: $i] :
                                                ( ( eiw_di @ Y6 @ mactual )
                                                & ( ?? @ $i
                                                  @ ^ [Y7: $i] :
                                                      ( ( eiw_di @ Y7 @ mactual )
                                                      & ( ?? @ $i
                                                        @ ^ [Y8: $i] :
                                                            ( ( eiw_di @ Y8 @ mactual )
                                                            & ( ?? @ $i
                                                              @ ^ [Y9: $i] :
                                                                  ( ( eiw_di @ Y9 @ mactual )
                                                                  & ( seat @ Y0 @ mactual )
                                                                  & ( furniture @ Y0 @ mactual )
                                                                  & ( front @ Y0 @ mactual )
                                                                  & ( seat @ Y1 @ mactual )
                                                                  & ( furniture @ Y1 @ mactual )
                                                                  & ( front @ Y1 @ mactual )
                                                                  & ( hollywood @ Y2 @ mactual )
                                                                  & ( city @ Y2 @ mactual )
                                                                  & ( event @ Y3 @ mactual )
                                                                  & ( street @ Y4 @ mactual )
                                                                  & ( way @ Y4 @ mactual )
                                                                  & ( lonely @ Y4 @ mactual )
                                                                  & ( chevy @ Y5 @ mactual )
                                                                  & ( car @ Y5 @ mactual )
                                                                  & ( white @ Y5 @ mactual )
                                                                  & ( dirty @ Y5 @ mactual )
                                                                  & ( old @ Y5 @ mactual )
                                                                  & ( barrel @ Y3 @ Y5 @ mactual )
                                                                  & ( down @ Y3 @ Y4 @ mactual )
                                                                  & ( in @ Y3 @ Y2 @ mactual )
                                                                  & ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
                                                                  & ( fellow @ Y6 @ mactual )
                                                                  & ( man @ Y6 @ mactual )
                                                                  & ( young @ Y6 @ mactual )
                                                                  & ( fellow @ Y7 @ mactual )
                                                                  & ( man @ Y7 @ mactual )
                                                                  & ( young @ Y7 @ mactual )
                                                                  & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                  & ( in @ Y8 @ Y0 @ mactual )
                                                                  & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                  & ( in @ Y9 @ Y1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      = $true ) ),
    inference(imp_proxy_clausification,[],[f215]) ).

thf(f219,plain,
    ( ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ mactual )
                        & ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ mactual )
                              & ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( eiw_di @ Y4 @ mactual )
                                    & ( ?? @ $i
                                      @ ^ [Y5: $i] :
                                          ( ( eiw_di @ Y5 @ mactual )
                                          & ( ?? @ $i
                                            @ ^ [Y6: $i] :
                                                ( ( eiw_di @ Y6 @ mactual )
                                                & ( ?? @ $i
                                                  @ ^ [Y7: $i] :
                                                      ( ( eiw_di @ Y7 @ mactual )
                                                      & ( ?? @ $i
                                                        @ ^ [Y8: $i] :
                                                            ( ( eiw_di @ Y8 @ mactual )
                                                            & ( ?? @ $i
                                                              @ ^ [Y9: $i] :
                                                                  ( ( eiw_di @ Y9 @ mactual )
                                                                  & ( seat @ Y0 @ mactual )
                                                                  & ( furniture @ Y0 @ mactual )
                                                                  & ( front @ Y0 @ mactual )
                                                                  & ( seat @ Y1 @ mactual )
                                                                  & ( furniture @ Y1 @ mactual )
                                                                  & ( front @ Y1 @ mactual )
                                                                  & ( hollywood @ Y2 @ mactual )
                                                                  & ( city @ Y2 @ mactual )
                                                                  & ( event @ Y3 @ mactual )
                                                                  & ( street @ Y4 @ mactual )
                                                                  & ( way @ Y4 @ mactual )
                                                                  & ( lonely @ Y4 @ mactual )
                                                                  & ( chevy @ Y5 @ mactual )
                                                                  & ( car @ Y5 @ mactual )
                                                                  & ( white @ Y5 @ mactual )
                                                                  & ( dirty @ Y5 @ mactual )
                                                                  & ( old @ Y5 @ mactual )
                                                                  & ( barrel @ Y3 @ Y5 @ mactual )
                                                                  & ( down @ Y3 @ Y4 @ mactual )
                                                                  & ( in @ Y3 @ Y2 @ mactual )
                                                                  & ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
                                                                  & ( fellow @ Y6 @ mactual )
                                                                  & ( man @ Y6 @ mactual )
                                                                  & ( young @ Y6 @ mactual )
                                                                  & ( fellow @ Y7 @ mactual )
                                                                  & ( man @ Y7 @ mactual )
                                                                  & ( young @ Y7 @ mactual )
                                                                  & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                  & ( in @ Y8 @ Y0 @ mactual )
                                                                  & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                  & ( in @ Y9 @ Y1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      = $true )
    | ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ mactual )
                        & ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ mactual )
                              & ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( eiw_di @ Y4 @ mactual )
                                    & ( ?? @ $i
                                      @ ^ [Y5: $i] :
                                          ( ( eiw_di @ Y5 @ mactual )
                                          & ( ?? @ $i
                                            @ ^ [Y6: $i] :
                                                ( ( eiw_di @ Y6 @ mactual )
                                                & ( ?? @ $i
                                                  @ ^ [Y7: $i] :
                                                      ( ( eiw_di @ Y7 @ mactual )
                                                      & ( ?? @ $i
                                                        @ ^ [Y8: $i] :
                                                            ( ( eiw_di @ Y8 @ mactual )
                                                            & ( ?? @ $i
                                                              @ ^ [Y9: $i] :
                                                                  ( ( eiw_di @ Y9 @ mactual )
                                                                  & ( seat @ Y0 @ mactual )
                                                                  & ( furniture @ Y0 @ mactual )
                                                                  & ( front @ Y0 @ mactual )
                                                                  & ( seat @ Y1 @ mactual )
                                                                  & ( furniture @ Y1 @ mactual )
                                                                  & ( front @ Y1 @ mactual )
                                                                  & ( hollywood @ Y2 @ mactual )
                                                                  & ( city @ Y2 @ mactual )
                                                                  & ( event @ Y3 @ mactual )
                                                                  & ( chevy @ Y4 @ mactual )
                                                                  & ( car @ Y4 @ mactual )
                                                                  & ( white @ Y4 @ mactual )
                                                                  & ( dirty @ Y4 @ mactual )
                                                                  & ( old @ Y4 @ mactual )
                                                                  & ( street @ Y5 @ mactual )
                                                                  & ( way @ Y5 @ mactual )
                                                                  & ( lonely @ Y5 @ mactual )
                                                                  & ( barrel @ Y3 @ Y4 @ mactual )
                                                                  & ( down @ Y3 @ Y5 @ mactual )
                                                                  & ( in @ Y3 @ Y2 @ mactual )
                                                                  & ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
                                                                  & ( fellow @ Y6 @ mactual )
                                                                  & ( man @ Y6 @ mactual )
                                                                  & ( young @ Y6 @ mactual )
                                                                  & ( fellow @ Y7 @ mactual )
                                                                  & ( man @ Y7 @ mactual )
                                                                  & ( young @ Y7 @ mactual )
                                                                  & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                  & ( in @ Y8 @ Y0 @ mactual )
                                                                  & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                  & ( in @ Y9 @ Y1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      = $true ) ),
    inference(imp_proxy_clausification,[],[f217]) ).

thf(f220,plain,
    ( ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ mactual )
                        & ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ mactual )
                              & ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( eiw_di @ Y4 @ mactual )
                                    & ( ?? @ $i
                                      @ ^ [Y5: $i] :
                                          ( ( eiw_di @ Y5 @ mactual )
                                          & ( ?? @ $i
                                            @ ^ [Y6: $i] :
                                                ( ( eiw_di @ Y6 @ mactual )
                                                & ( ?? @ $i
                                                  @ ^ [Y7: $i] :
                                                      ( ( eiw_di @ Y7 @ mactual )
                                                      & ( ?? @ $i
                                                        @ ^ [Y8: $i] :
                                                            ( ( eiw_di @ Y8 @ mactual )
                                                            & ( ?? @ $i
                                                              @ ^ [Y9: $i] :
                                                                  ( ( eiw_di @ Y9 @ mactual )
                                                                  & ( seat @ Y0 @ mactual )
                                                                  & ( furniture @ Y0 @ mactual )
                                                                  & ( front @ Y0 @ mactual )
                                                                  & ( seat @ Y1 @ mactual )
                                                                  & ( furniture @ Y1 @ mactual )
                                                                  & ( front @ Y1 @ mactual )
                                                                  & ( hollywood @ Y2 @ mactual )
                                                                  & ( city @ Y2 @ mactual )
                                                                  & ( event @ Y3 @ mactual )
                                                                  & ( street @ Y4 @ mactual )
                                                                  & ( way @ Y4 @ mactual )
                                                                  & ( lonely @ Y4 @ mactual )
                                                                  & ( chevy @ Y5 @ mactual )
                                                                  & ( car @ Y5 @ mactual )
                                                                  & ( white @ Y5 @ mactual )
                                                                  & ( dirty @ Y5 @ mactual )
                                                                  & ( old @ Y5 @ mactual )
                                                                  & ( barrel @ Y3 @ Y5 @ mactual )
                                                                  & ( down @ Y3 @ Y4 @ mactual )
                                                                  & ( in @ Y3 @ Y2 @ mactual )
                                                                  & ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
                                                                  & ( fellow @ Y6 @ mactual )
                                                                  & ( man @ Y6 @ mactual )
                                                                  & ( young @ Y6 @ mactual )
                                                                  & ( fellow @ Y7 @ mactual )
                                                                  & ( man @ Y7 @ mactual )
                                                                  & ( young @ Y7 @ mactual )
                                                                  & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                  & ( in @ Y8 @ Y0 @ mactual )
                                                                  & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                  & ( in @ Y9 @ Y1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      = $false )
    | ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ mactual )
                        & ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ mactual )
                              & ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( eiw_di @ Y4 @ mactual )
                                    & ( ?? @ $i
                                      @ ^ [Y5: $i] :
                                          ( ( eiw_di @ Y5 @ mactual )
                                          & ( ?? @ $i
                                            @ ^ [Y6: $i] :
                                                ( ( eiw_di @ Y6 @ mactual )
                                                & ( ?? @ $i
                                                  @ ^ [Y7: $i] :
                                                      ( ( eiw_di @ Y7 @ mactual )
                                                      & ( ?? @ $i
                                                        @ ^ [Y8: $i] :
                                                            ( ( eiw_di @ Y8 @ mactual )
                                                            & ( ?? @ $i
                                                              @ ^ [Y9: $i] :
                                                                  ( ( eiw_di @ Y9 @ mactual )
                                                                  & ( seat @ Y0 @ mactual )
                                                                  & ( furniture @ Y0 @ mactual )
                                                                  & ( front @ Y0 @ mactual )
                                                                  & ( seat @ Y1 @ mactual )
                                                                  & ( furniture @ Y1 @ mactual )
                                                                  & ( front @ Y1 @ mactual )
                                                                  & ( hollywood @ Y2 @ mactual )
                                                                  & ( city @ Y2 @ mactual )
                                                                  & ( event @ Y3 @ mactual )
                                                                  & ( chevy @ Y4 @ mactual )
                                                                  & ( car @ Y4 @ mactual )
                                                                  & ( white @ Y4 @ mactual )
                                                                  & ( dirty @ Y4 @ mactual )
                                                                  & ( old @ Y4 @ mactual )
                                                                  & ( street @ Y5 @ mactual )
                                                                  & ( way @ Y5 @ mactual )
                                                                  & ( lonely @ Y5 @ mactual )
                                                                  & ( barrel @ Y3 @ Y4 @ mactual )
                                                                  & ( down @ Y3 @ Y5 @ mactual )
                                                                  & ( in @ Y3 @ Y2 @ mactual )
                                                                  & ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
                                                                  & ( fellow @ Y6 @ mactual )
                                                                  & ( man @ Y6 @ mactual )
                                                                  & ( young @ Y6 @ mactual )
                                                                  & ( fellow @ Y7 @ mactual )
                                                                  & ( man @ Y7 @ mactual )
                                                                  & ( young @ Y7 @ mactual )
                                                                  & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                  & ( in @ Y8 @ Y0 @ mactual )
                                                                  & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                  & ( in @ Y9 @ Y1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      = $false ) ),
    inference(imp_proxy_clausification,[],[f216]) ).

thf(f223,definition,
    ( spl0_1
  <=> ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ mactual )
                        & ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ mactual )
                              & ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( eiw_di @ Y4 @ mactual )
                                    & ( ?? @ $i
                                      @ ^ [Y5: $i] :
                                          ( ( eiw_di @ Y5 @ mactual )
                                          & ( ?? @ $i
                                            @ ^ [Y6: $i] :
                                                ( ( eiw_di @ Y6 @ mactual )
                                                & ( ?? @ $i
                                                  @ ^ [Y7: $i] :
                                                      ( ( eiw_di @ Y7 @ mactual )
                                                      & ( ?? @ $i
                                                        @ ^ [Y8: $i] :
                                                            ( ( eiw_di @ Y8 @ mactual )
                                                            & ( ?? @ $i
                                                              @ ^ [Y9: $i] :
                                                                  ( ( eiw_di @ Y9 @ mactual )
                                                                  & ( seat @ Y0 @ mactual )
                                                                  & ( furniture @ Y0 @ mactual )
                                                                  & ( front @ Y0 @ mactual )
                                                                  & ( seat @ Y1 @ mactual )
                                                                  & ( furniture @ Y1 @ mactual )
                                                                  & ( front @ Y1 @ mactual )
                                                                  & ( hollywood @ Y2 @ mactual )
                                                                  & ( city @ Y2 @ mactual )
                                                                  & ( event @ Y3 @ mactual )
                                                                  & ( chevy @ Y4 @ mactual )
                                                                  & ( car @ Y4 @ mactual )
                                                                  & ( white @ Y4 @ mactual )
                                                                  & ( dirty @ Y4 @ mactual )
                                                                  & ( old @ Y4 @ mactual )
                                                                  & ( street @ Y5 @ mactual )
                                                                  & ( way @ Y5 @ mactual )
                                                                  & ( lonely @ Y5 @ mactual )
                                                                  & ( barrel @ Y3 @ Y4 @ mactual )
                                                                  & ( down @ Y3 @ Y5 @ mactual )
                                                                  & ( in @ Y3 @ Y2 @ mactual )
                                                                  & ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
                                                                  & ( fellow @ Y6 @ mactual )
                                                                  & ( man @ Y6 @ mactual )
                                                                  & ( young @ Y6 @ mactual )
                                                                  & ( fellow @ Y7 @ mactual )
                                                                  & ( man @ Y7 @ mactual )
                                                                  & ( young @ Y7 @ mactual )
                                                                  & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                  & ( in @ Y8 @ Y0 @ mactual )
                                                                  & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                  & ( in @ Y9 @ Y1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

thf(f224,plain,
    ( ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ mactual )
                        & ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ mactual )
                              & ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( eiw_di @ Y4 @ mactual )
                                    & ( ?? @ $i
                                      @ ^ [Y5: $i] :
                                          ( ( eiw_di @ Y5 @ mactual )
                                          & ( ?? @ $i
                                            @ ^ [Y6: $i] :
                                                ( ( eiw_di @ Y6 @ mactual )
                                                & ( ?? @ $i
                                                  @ ^ [Y7: $i] :
                                                      ( ( eiw_di @ Y7 @ mactual )
                                                      & ( ?? @ $i
                                                        @ ^ [Y8: $i] :
                                                            ( ( eiw_di @ Y8 @ mactual )
                                                            & ( ?? @ $i
                                                              @ ^ [Y9: $i] :
                                                                  ( ( eiw_di @ Y9 @ mactual )
                                                                  & ( seat @ Y0 @ mactual )
                                                                  & ( furniture @ Y0 @ mactual )
                                                                  & ( front @ Y0 @ mactual )
                                                                  & ( seat @ Y1 @ mactual )
                                                                  & ( furniture @ Y1 @ mactual )
                                                                  & ( front @ Y1 @ mactual )
                                                                  & ( hollywood @ Y2 @ mactual )
                                                                  & ( city @ Y2 @ mactual )
                                                                  & ( event @ Y3 @ mactual )
                                                                  & ( chevy @ Y4 @ mactual )
                                                                  & ( car @ Y4 @ mactual )
                                                                  & ( white @ Y4 @ mactual )
                                                                  & ( dirty @ Y4 @ mactual )
                                                                  & ( old @ Y4 @ mactual )
                                                                  & ( street @ Y5 @ mactual )
                                                                  & ( way @ Y5 @ mactual )
                                                                  & ( lonely @ Y5 @ mactual )
                                                                  & ( barrel @ Y3 @ Y4 @ mactual )
                                                                  & ( down @ Y3 @ Y5 @ mactual )
                                                                  & ( in @ Y3 @ Y2 @ mactual )
                                                                  & ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
                                                                  & ( fellow @ Y6 @ mactual )
                                                                  & ( man @ Y6 @ mactual )
                                                                  & ( young @ Y6 @ mactual )
                                                                  & ( fellow @ Y7 @ mactual )
                                                                  & ( man @ Y7 @ mactual )
                                                                  & ( young @ Y7 @ mactual )
                                                                  & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                  & ( in @ Y8 @ Y0 @ mactual )
                                                                  & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                  & ( in @ Y9 @ Y1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
     != $true )
    | spl0_1 ),
    inference(avatar_component_clause,[],[f223]) ).

thf(f225,plain,
    ( ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ mactual )
                        & ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ mactual )
                              & ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( eiw_di @ Y4 @ mactual )
                                    & ( ?? @ $i
                                      @ ^ [Y5: $i] :
                                          ( ( eiw_di @ Y5 @ mactual )
                                          & ( ?? @ $i
                                            @ ^ [Y6: $i] :
                                                ( ( eiw_di @ Y6 @ mactual )
                                                & ( ?? @ $i
                                                  @ ^ [Y7: $i] :
                                                      ( ( eiw_di @ Y7 @ mactual )
                                                      & ( ?? @ $i
                                                        @ ^ [Y8: $i] :
                                                            ( ( eiw_di @ Y8 @ mactual )
                                                            & ( ?? @ $i
                                                              @ ^ [Y9: $i] :
                                                                  ( ( eiw_di @ Y9 @ mactual )
                                                                  & ( seat @ Y0 @ mactual )
                                                                  & ( furniture @ Y0 @ mactual )
                                                                  & ( front @ Y0 @ mactual )
                                                                  & ( seat @ Y1 @ mactual )
                                                                  & ( furniture @ Y1 @ mactual )
                                                                  & ( front @ Y1 @ mactual )
                                                                  & ( hollywood @ Y2 @ mactual )
                                                                  & ( city @ Y2 @ mactual )
                                                                  & ( event @ Y3 @ mactual )
                                                                  & ( chevy @ Y4 @ mactual )
                                                                  & ( car @ Y4 @ mactual )
                                                                  & ( white @ Y4 @ mactual )
                                                                  & ( dirty @ Y4 @ mactual )
                                                                  & ( old @ Y4 @ mactual )
                                                                  & ( street @ Y5 @ mactual )
                                                                  & ( way @ Y5 @ mactual )
                                                                  & ( lonely @ Y5 @ mactual )
                                                                  & ( barrel @ Y3 @ Y4 @ mactual )
                                                                  & ( down @ Y3 @ Y5 @ mactual )
                                                                  & ( in @ Y3 @ Y2 @ mactual )
                                                                  & ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
                                                                  & ( fellow @ Y6 @ mactual )
                                                                  & ( man @ Y6 @ mactual )
                                                                  & ( young @ Y6 @ mactual )
                                                                  & ( fellow @ Y7 @ mactual )
                                                                  & ( man @ Y7 @ mactual )
                                                                  & ( young @ Y7 @ mactual )
                                                                  & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                  & ( in @ Y8 @ Y0 @ mactual )
                                                                  & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                  & ( in @ Y9 @ Y1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      = $true )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f223]) ).

thf(f227,definition,
    ( spl0_2
  <=> ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ mactual )
                        & ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ mactual )
                              & ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( eiw_di @ Y4 @ mactual )
                                    & ( ?? @ $i
                                      @ ^ [Y5: $i] :
                                          ( ( eiw_di @ Y5 @ mactual )
                                          & ( ?? @ $i
                                            @ ^ [Y6: $i] :
                                                ( ( eiw_di @ Y6 @ mactual )
                                                & ( ?? @ $i
                                                  @ ^ [Y7: $i] :
                                                      ( ( eiw_di @ Y7 @ mactual )
                                                      & ( ?? @ $i
                                                        @ ^ [Y8: $i] :
                                                            ( ( eiw_di @ Y8 @ mactual )
                                                            & ( ?? @ $i
                                                              @ ^ [Y9: $i] :
                                                                  ( ( eiw_di @ Y9 @ mactual )
                                                                  & ( seat @ Y0 @ mactual )
                                                                  & ( furniture @ Y0 @ mactual )
                                                                  & ( front @ Y0 @ mactual )
                                                                  & ( seat @ Y1 @ mactual )
                                                                  & ( furniture @ Y1 @ mactual )
                                                                  & ( front @ Y1 @ mactual )
                                                                  & ( hollywood @ Y2 @ mactual )
                                                                  & ( city @ Y2 @ mactual )
                                                                  & ( event @ Y3 @ mactual )
                                                                  & ( street @ Y4 @ mactual )
                                                                  & ( way @ Y4 @ mactual )
                                                                  & ( lonely @ Y4 @ mactual )
                                                                  & ( chevy @ Y5 @ mactual )
                                                                  & ( car @ Y5 @ mactual )
                                                                  & ( white @ Y5 @ mactual )
                                                                  & ( dirty @ Y5 @ mactual )
                                                                  & ( old @ Y5 @ mactual )
                                                                  & ( barrel @ Y3 @ Y5 @ mactual )
                                                                  & ( down @ Y3 @ Y4 @ mactual )
                                                                  & ( in @ Y3 @ Y2 @ mactual )
                                                                  & ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
                                                                  & ( fellow @ Y6 @ mactual )
                                                                  & ( man @ Y6 @ mactual )
                                                                  & ( young @ Y6 @ mactual )
                                                                  & ( fellow @ Y7 @ mactual )
                                                                  & ( man @ Y7 @ mactual )
                                                                  & ( young @ Y7 @ mactual )
                                                                  & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                  & ( in @ Y8 @ Y0 @ mactual )
                                                                  & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                  & ( in @ Y9 @ Y1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

thf(f229,plain,
    ( ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ mactual )
                        & ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ mactual )
                              & ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( eiw_di @ Y4 @ mactual )
                                    & ( ?? @ $i
                                      @ ^ [Y5: $i] :
                                          ( ( eiw_di @ Y5 @ mactual )
                                          & ( ?? @ $i
                                            @ ^ [Y6: $i] :
                                                ( ( eiw_di @ Y6 @ mactual )
                                                & ( ?? @ $i
                                                  @ ^ [Y7: $i] :
                                                      ( ( eiw_di @ Y7 @ mactual )
                                                      & ( ?? @ $i
                                                        @ ^ [Y8: $i] :
                                                            ( ( eiw_di @ Y8 @ mactual )
                                                            & ( ?? @ $i
                                                              @ ^ [Y9: $i] :
                                                                  ( ( eiw_di @ Y9 @ mactual )
                                                                  & ( seat @ Y0 @ mactual )
                                                                  & ( furniture @ Y0 @ mactual )
                                                                  & ( front @ Y0 @ mactual )
                                                                  & ( seat @ Y1 @ mactual )
                                                                  & ( furniture @ Y1 @ mactual )
                                                                  & ( front @ Y1 @ mactual )
                                                                  & ( hollywood @ Y2 @ mactual )
                                                                  & ( city @ Y2 @ mactual )
                                                                  & ( event @ Y3 @ mactual )
                                                                  & ( street @ Y4 @ mactual )
                                                                  & ( way @ Y4 @ mactual )
                                                                  & ( lonely @ Y4 @ mactual )
                                                                  & ( chevy @ Y5 @ mactual )
                                                                  & ( car @ Y5 @ mactual )
                                                                  & ( white @ Y5 @ mactual )
                                                                  & ( dirty @ Y5 @ mactual )
                                                                  & ( old @ Y5 @ mactual )
                                                                  & ( barrel @ Y3 @ Y5 @ mactual )
                                                                  & ( down @ Y3 @ Y4 @ mactual )
                                                                  & ( in @ Y3 @ Y2 @ mactual )
                                                                  & ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
                                                                  & ( fellow @ Y6 @ mactual )
                                                                  & ( man @ Y6 @ mactual )
                                                                  & ( young @ Y6 @ mactual )
                                                                  & ( fellow @ Y7 @ mactual )
                                                                  & ( man @ Y7 @ mactual )
                                                                  & ( young @ Y7 @ mactual )
                                                                  & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                  & ( in @ Y8 @ Y0 @ mactual )
                                                                  & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                  & ( in @ Y9 @ Y1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      = $true )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f227]) ).

thf(f230,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f219,f227,f223]) ).

thf(f231,plain,
    ( ( ( ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ mactual )
                        & ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ mactual )
                              & ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( eiw_di @ Y4 @ mactual )
                                    & ( ?? @ $i
                                      @ ^ [Y5: $i] :
                                          ( ( eiw_di @ Y5 @ mactual )
                                          & ( ?? @ $i
                                            @ ^ [Y6: $i] :
                                                ( ( eiw_di @ Y6 @ mactual )
                                                & ( ?? @ $i
                                                  @ ^ [Y7: $i] :
                                                      ( ( eiw_di @ Y7 @ mactual )
                                                      & ( ?? @ $i
                                                        @ ^ [Y8: $i] :
                                                            ( ( eiw_di @ Y8 @ mactual )
                                                            & ( ?? @ $i
                                                              @ ^ [Y9: $i] :
                                                                  ( ( eiw_di @ Y9 @ mactual )
                                                                  & ( seat @ Y0 @ mactual )
                                                                  & ( furniture @ Y0 @ mactual )
                                                                  & ( front @ Y0 @ mactual )
                                                                  & ( seat @ Y1 @ mactual )
                                                                  & ( furniture @ Y1 @ mactual )
                                                                  & ( front @ Y1 @ mactual )
                                                                  & ( hollywood @ Y2 @ mactual )
                                                                  & ( city @ Y2 @ mactual )
                                                                  & ( event @ Y3 @ mactual )
                                                                  & ( chevy @ Y4 @ mactual )
                                                                  & ( car @ Y4 @ mactual )
                                                                  & ( white @ Y4 @ mactual )
                                                                  & ( dirty @ Y4 @ mactual )
                                                                  & ( old @ Y4 @ mactual )
                                                                  & ( street @ Y5 @ mactual )
                                                                  & ( way @ Y5 @ mactual )
                                                                  & ( lonely @ Y5 @ mactual )
                                                                  & ( barrel @ Y3 @ Y4 @ mactual )
                                                                  & ( down @ Y3 @ Y5 @ mactual )
                                                                  & ( in @ Y3 @ Y2 @ mactual )
                                                                  & ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
                                                                  & ( fellow @ Y6 @ mactual )
                                                                  & ( man @ Y6 @ mactual )
                                                                  & ( young @ Y6 @ mactual )
                                                                  & ( fellow @ Y7 @ mactual )
                                                                  & ( man @ Y7 @ mactual )
                                                                  & ( young @ Y7 @ mactual )
                                                                  & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                  & ( in @ Y8 @ Y0 @ mactual )
                                                                  & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                  & ( in @ Y9 @ Y1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
        @ sK1 )
      = $true )
    | ~ spl0_1 ),
    inference(sigma_proxy_clausification,[],[f225]) ).

thf(f233,plain,
    ( ( ( ( eiw_di @ sK1 @ mactual )
        & ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ?? @ $i
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( ?? @ $i
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ mactual )
                                      & ( ?? @ $i
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ mactual )
                                            & ( ?? @ $i
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ mactual )
                                                  & ( ?? @ $i
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ mactual )
                                                        & ( ?? @ $i
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ mactual )
                                                              & ( seat @ sK1 @ mactual )
                                                              & ( furniture @ sK1 @ mactual )
                                                              & ( front @ sK1 @ mactual )
                                                              & ( seat @ Y0 @ mactual )
                                                              & ( furniture @ Y0 @ mactual )
                                                              & ( front @ Y0 @ mactual )
                                                              & ( hollywood @ Y1 @ mactual )
                                                              & ( city @ Y1 @ mactual )
                                                              & ( event @ Y2 @ mactual )
                                                              & ( chevy @ Y3 @ mactual )
                                                              & ( car @ Y3 @ mactual )
                                                              & ( white @ Y3 @ mactual )
                                                              & ( dirty @ Y3 @ mactual )
                                                              & ( old @ Y3 @ mactual )
                                                              & ( street @ Y4 @ mactual )
                                                              & ( way @ Y4 @ mactual )
                                                              & ( lonely @ Y4 @ mactual )
                                                              & ( barrel @ Y2 @ Y3 @ mactual )
                                                              & ( down @ Y2 @ Y4 @ mactual )
                                                              & ( in @ Y2 @ Y1 @ mactual )
                                                              & ~ ( qmltpeq @ Y5 @ Y6 @ mactual )
                                                              & ( fellow @ Y5 @ mactual )
                                                              & ( man @ Y5 @ mactual )
                                                              & ( young @ Y5 @ mactual )
                                                              & ( fellow @ Y6 @ mactual )
                                                              & ( man @ Y6 @ mactual )
                                                              & ( young @ Y6 @ mactual )
                                                              & ( qmltpeq @ Y5 @ Y7 @ mactual )
                                                              & ( in @ Y7 @ sK1 @ mactual )
                                                              & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                              & ( in @ Y8 @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      = $true )
    | ~ spl0_1 ),
    inference(beta-eta_normalization,[],[f231]) ).

thf(f235,plain,
    ( ( $true
      = ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ mactual )
                        & ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ mactual )
                              & ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( eiw_di @ Y4 @ mactual )
                                    & ( ?? @ $i
                                      @ ^ [Y5: $i] :
                                          ( ( eiw_di @ Y5 @ mactual )
                                          & ( ?? @ $i
                                            @ ^ [Y6: $i] :
                                                ( ( eiw_di @ Y6 @ mactual )
                                                & ( ?? @ $i
                                                  @ ^ [Y7: $i] :
                                                      ( ( eiw_di @ Y7 @ mactual )
                                                      & ( ?? @ $i
                                                        @ ^ [Y8: $i] :
                                                            ( ( eiw_di @ Y8 @ mactual )
                                                            & ( seat @ sK1 @ mactual )
                                                            & ( furniture @ sK1 @ mactual )
                                                            & ( front @ sK1 @ mactual )
                                                            & ( seat @ Y0 @ mactual )
                                                            & ( furniture @ Y0 @ mactual )
                                                            & ( front @ Y0 @ mactual )
                                                            & ( hollywood @ Y1 @ mactual )
                                                            & ( city @ Y1 @ mactual )
                                                            & ( event @ Y2 @ mactual )
                                                            & ( chevy @ Y3 @ mactual )
                                                            & ( car @ Y3 @ mactual )
                                                            & ( white @ Y3 @ mactual )
                                                            & ( dirty @ Y3 @ mactual )
                                                            & ( old @ Y3 @ mactual )
                                                            & ( street @ Y4 @ mactual )
                                                            & ( way @ Y4 @ mactual )
                                                            & ( lonely @ Y4 @ mactual )
                                                            & ( barrel @ Y2 @ Y3 @ mactual )
                                                            & ( down @ Y2 @ Y4 @ mactual )
                                                            & ( in @ Y2 @ Y1 @ mactual )
                                                            & ~ ( qmltpeq @ Y5 @ Y6 @ mactual )
                                                            & ( fellow @ Y5 @ mactual )
                                                            & ( man @ Y5 @ mactual )
                                                            & ( young @ Y5 @ mactual )
                                                            & ( fellow @ Y6 @ mactual )
                                                            & ( man @ Y6 @ mactual )
                                                            & ( young @ Y6 @ mactual )
                                                            & ( qmltpeq @ Y5 @ Y7 @ mactual )
                                                            & ( in @ Y7 @ sK1 @ mactual )
                                                            & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                            & ( in @ Y8 @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f233]) ).

thf(f236,plain,
    ( ( ( eiw_di @ sK1 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f233]) ).

thf(f239,plain,
    ( ( $true = $false )
    | ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ mactual )
                        & ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ mactual )
                              & ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( eiw_di @ Y4 @ mactual )
                                    & ( ?? @ $i
                                      @ ^ [Y5: $i] :
                                          ( ( eiw_di @ Y5 @ mactual )
                                          & ( ?? @ $i
                                            @ ^ [Y6: $i] :
                                                ( ( eiw_di @ Y6 @ mactual )
                                                & ( ?? @ $i
                                                  @ ^ [Y7: $i] :
                                                      ( ( eiw_di @ Y7 @ mactual )
                                                      & ( ?? @ $i
                                                        @ ^ [Y8: $i] :
                                                            ( ( eiw_di @ Y8 @ mactual )
                                                            & ( ?? @ $i
                                                              @ ^ [Y9: $i] :
                                                                  ( ( eiw_di @ Y9 @ mactual )
                                                                  & ( seat @ Y0 @ mactual )
                                                                  & ( furniture @ Y0 @ mactual )
                                                                  & ( front @ Y0 @ mactual )
                                                                  & ( seat @ Y1 @ mactual )
                                                                  & ( furniture @ Y1 @ mactual )
                                                                  & ( front @ Y1 @ mactual )
                                                                  & ( hollywood @ Y2 @ mactual )
                                                                  & ( city @ Y2 @ mactual )
                                                                  & ( event @ Y3 @ mactual )
                                                                  & ( street @ Y4 @ mactual )
                                                                  & ( way @ Y4 @ mactual )
                                                                  & ( lonely @ Y4 @ mactual )
                                                                  & ( chevy @ Y5 @ mactual )
                                                                  & ( car @ Y5 @ mactual )
                                                                  & ( white @ Y5 @ mactual )
                                                                  & ( dirty @ Y5 @ mactual )
                                                                  & ( old @ Y5 @ mactual )
                                                                  & ( barrel @ Y3 @ Y5 @ mactual )
                                                                  & ( down @ Y3 @ Y4 @ mactual )
                                                                  & ( in @ Y3 @ Y2 @ mactual )
                                                                  & ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
                                                                  & ( fellow @ Y6 @ mactual )
                                                                  & ( man @ Y6 @ mactual )
                                                                  & ( young @ Y6 @ mactual )
                                                                  & ( fellow @ Y7 @ mactual )
                                                                  & ( man @ Y7 @ mactual )
                                                                  & ( young @ Y7 @ mactual )
                                                                  & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                  & ( in @ Y8 @ Y0 @ mactual )
                                                                  & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                  & ( in @ Y9 @ Y1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      = $false )
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f220,f225]) ).

thf(f240,plain,
    ( ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ mactual )
                        & ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ mactual )
                              & ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( eiw_di @ Y4 @ mactual )
                                    & ( ?? @ $i
                                      @ ^ [Y5: $i] :
                                          ( ( eiw_di @ Y5 @ mactual )
                                          & ( ?? @ $i
                                            @ ^ [Y6: $i] :
                                                ( ( eiw_di @ Y6 @ mactual )
                                                & ( ?? @ $i
                                                  @ ^ [Y7: $i] :
                                                      ( ( eiw_di @ Y7 @ mactual )
                                                      & ( ?? @ $i
                                                        @ ^ [Y8: $i] :
                                                            ( ( eiw_di @ Y8 @ mactual )
                                                            & ( ?? @ $i
                                                              @ ^ [Y9: $i] :
                                                                  ( ( eiw_di @ Y9 @ mactual )
                                                                  & ( seat @ Y0 @ mactual )
                                                                  & ( furniture @ Y0 @ mactual )
                                                                  & ( front @ Y0 @ mactual )
                                                                  & ( seat @ Y1 @ mactual )
                                                                  & ( furniture @ Y1 @ mactual )
                                                                  & ( front @ Y1 @ mactual )
                                                                  & ( hollywood @ Y2 @ mactual )
                                                                  & ( city @ Y2 @ mactual )
                                                                  & ( event @ Y3 @ mactual )
                                                                  & ( street @ Y4 @ mactual )
                                                                  & ( way @ Y4 @ mactual )
                                                                  & ( lonely @ Y4 @ mactual )
                                                                  & ( chevy @ Y5 @ mactual )
                                                                  & ( car @ Y5 @ mactual )
                                                                  & ( white @ Y5 @ mactual )
                                                                  & ( dirty @ Y5 @ mactual )
                                                                  & ( old @ Y5 @ mactual )
                                                                  & ( barrel @ Y3 @ Y5 @ mactual )
                                                                  & ( down @ Y3 @ Y4 @ mactual )
                                                                  & ( in @ Y3 @ Y2 @ mactual )
                                                                  & ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
                                                                  & ( fellow @ Y6 @ mactual )
                                                                  & ( man @ Y6 @ mactual )
                                                                  & ( young @ Y6 @ mactual )
                                                                  & ( fellow @ Y7 @ mactual )
                                                                  & ( man @ Y7 @ mactual )
                                                                  & ( young @ Y7 @ mactual )
                                                                  & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                  & ( in @ Y8 @ Y0 @ mactual )
                                                                  & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                  & ( in @ Y9 @ Y1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      = $false )
    | ~ spl0_1 ),
    inference(trivial_inequality_removal,[],[f239]) ).

thf(f241,plain,
    ( ( $true
      = ( ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ mactual )
                        & ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ mactual )
                              & ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( eiw_di @ Y4 @ mactual )
                                    & ( ?? @ $i
                                      @ ^ [Y5: $i] :
                                          ( ( eiw_di @ Y5 @ mactual )
                                          & ( ?? @ $i
                                            @ ^ [Y6: $i] :
                                                ( ( eiw_di @ Y6 @ mactual )
                                                & ( ?? @ $i
                                                  @ ^ [Y7: $i] :
                                                      ( ( eiw_di @ Y7 @ mactual )
                                                      & ( ?? @ $i
                                                        @ ^ [Y8: $i] :
                                                            ( ( eiw_di @ Y8 @ mactual )
                                                            & ( seat @ sK1 @ mactual )
                                                            & ( furniture @ sK1 @ mactual )
                                                            & ( front @ sK1 @ mactual )
                                                            & ( seat @ Y0 @ mactual )
                                                            & ( furniture @ Y0 @ mactual )
                                                            & ( front @ Y0 @ mactual )
                                                            & ( hollywood @ Y1 @ mactual )
                                                            & ( city @ Y1 @ mactual )
                                                            & ( event @ Y2 @ mactual )
                                                            & ( chevy @ Y3 @ mactual )
                                                            & ( car @ Y3 @ mactual )
                                                            & ( white @ Y3 @ mactual )
                                                            & ( dirty @ Y3 @ mactual )
                                                            & ( old @ Y3 @ mactual )
                                                            & ( street @ Y4 @ mactual )
                                                            & ( way @ Y4 @ mactual )
                                                            & ( lonely @ Y4 @ mactual )
                                                            & ( barrel @ Y2 @ Y3 @ mactual )
                                                            & ( down @ Y2 @ Y4 @ mactual )
                                                            & ( in @ Y2 @ Y1 @ mactual )
                                                            & ~ ( qmltpeq @ Y5 @ Y6 @ mactual )
                                                            & ( fellow @ Y5 @ mactual )
                                                            & ( man @ Y5 @ mactual )
                                                            & ( young @ Y5 @ mactual )
                                                            & ( fellow @ Y6 @ mactual )
                                                            & ( man @ Y6 @ mactual )
                                                            & ( young @ Y6 @ mactual )
                                                            & ( qmltpeq @ Y5 @ Y7 @ mactual )
                                                            & ( in @ Y7 @ sK1 @ mactual )
                                                            & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                            & ( in @ Y8 @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
        @ sK2 ) )
    | ~ spl0_1 ),
    inference(sigma_proxy_clausification,[],[f235]) ).

thf(f244,plain,
    ( ( ( ( eiw_di @ sK2 @ mactual )
        & ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ?? @ $i
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( ?? @ $i
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ mactual )
                                      & ( ?? @ $i
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ mactual )
                                            & ( ?? @ $i
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ mactual )
                                                  & ( ?? @ $i
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ mactual )
                                                        & ( seat @ sK1 @ mactual )
                                                        & ( furniture @ sK1 @ mactual )
                                                        & ( front @ sK1 @ mactual )
                                                        & ( seat @ sK2 @ mactual )
                                                        & ( furniture @ sK2 @ mactual )
                                                        & ( front @ sK2 @ mactual )
                                                        & ( hollywood @ Y0 @ mactual )
                                                        & ( city @ Y0 @ mactual )
                                                        & ( event @ Y1 @ mactual )
                                                        & ( chevy @ Y2 @ mactual )
                                                        & ( car @ Y2 @ mactual )
                                                        & ( white @ Y2 @ mactual )
                                                        & ( dirty @ Y2 @ mactual )
                                                        & ( old @ Y2 @ mactual )
                                                        & ( street @ Y3 @ mactual )
                                                        & ( way @ Y3 @ mactual )
                                                        & ( lonely @ Y3 @ mactual )
                                                        & ( barrel @ Y1 @ Y2 @ mactual )
                                                        & ( down @ Y1 @ Y3 @ mactual )
                                                        & ( in @ Y1 @ Y0 @ mactual )
                                                        & ~ ( qmltpeq @ Y4 @ Y5 @ mactual )
                                                        & ( fellow @ Y4 @ mactual )
                                                        & ( man @ Y4 @ mactual )
                                                        & ( young @ Y4 @ mactual )
                                                        & ( fellow @ Y5 @ mactual )
                                                        & ( man @ Y5 @ mactual )
                                                        & ( young @ Y5 @ mactual )
                                                        & ( qmltpeq @ Y4 @ Y6 @ mactual )
                                                        & ( in @ Y6 @ sK1 @ mactual )
                                                        & ( qmltpeq @ Y5 @ Y7 @ mactual )
                                                        & ( in @ Y7 @ sK2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      = $true )
    | ~ spl0_1 ),
    inference(beta-eta_normalization,[],[f241]) ).

thf(f245,plain,
    ( ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ mactual )
                        & ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ mactual )
                              & ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( eiw_di @ Y4 @ mactual )
                                    & ( ?? @ $i
                                      @ ^ [Y5: $i] :
                                          ( ( eiw_di @ Y5 @ mactual )
                                          & ( ?? @ $i
                                            @ ^ [Y6: $i] :
                                                ( ( eiw_di @ Y6 @ mactual )
                                                & ( ?? @ $i
                                                  @ ^ [Y7: $i] :
                                                      ( ( eiw_di @ Y7 @ mactual )
                                                      & ( seat @ sK1 @ mactual )
                                                      & ( furniture @ sK1 @ mactual )
                                                      & ( front @ sK1 @ mactual )
                                                      & ( seat @ sK2 @ mactual )
                                                      & ( furniture @ sK2 @ mactual )
                                                      & ( front @ sK2 @ mactual )
                                                      & ( hollywood @ Y0 @ mactual )
                                                      & ( city @ Y0 @ mactual )
                                                      & ( event @ Y1 @ mactual )
                                                      & ( chevy @ Y2 @ mactual )
                                                      & ( car @ Y2 @ mactual )
                                                      & ( white @ Y2 @ mactual )
                                                      & ( dirty @ Y2 @ mactual )
                                                      & ( old @ Y2 @ mactual )
                                                      & ( street @ Y3 @ mactual )
                                                      & ( way @ Y3 @ mactual )
                                                      & ( lonely @ Y3 @ mactual )
                                                      & ( barrel @ Y1 @ Y2 @ mactual )
                                                      & ( down @ Y1 @ Y3 @ mactual )
                                                      & ( in @ Y1 @ Y0 @ mactual )
                                                      & ~ ( qmltpeq @ Y4 @ Y5 @ mactual )
                                                      & ( fellow @ Y4 @ mactual )
                                                      & ( man @ Y4 @ mactual )
                                                      & ( young @ Y4 @ mactual )
                                                      & ( fellow @ Y5 @ mactual )
                                                      & ( man @ Y5 @ mactual )
                                                      & ( young @ Y5 @ mactual )
                                                      & ( qmltpeq @ Y4 @ Y6 @ mactual )
                                                      & ( in @ Y6 @ sK1 @ mactual )
                                                      & ( qmltpeq @ Y5 @ Y7 @ mactual )
                                                      & ( in @ Y7 @ sK2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f244]) ).

thf(f246,plain,
    ( ( ( eiw_di @ sK2 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f244]) ).

thf(f247,plain,
    ( ! [X1: $i] :
        ( $false
        = ( ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ?? @ $i
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( ?? @ $i
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ mactual )
                                      & ( ?? @ $i
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ mactual )
                                            & ( ?? @ $i
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ mactual )
                                                  & ( ?? @ $i
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ mactual )
                                                        & ( ?? @ $i
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ mactual )
                                                              & ( ?? @ $i
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ mactual )
                                                                    & ( seat @ Y0 @ mactual )
                                                                    & ( furniture @ Y0 @ mactual )
                                                                    & ( front @ Y0 @ mactual )
                                                                    & ( seat @ Y1 @ mactual )
                                                                    & ( furniture @ Y1 @ mactual )
                                                                    & ( front @ Y1 @ mactual )
                                                                    & ( hollywood @ Y2 @ mactual )
                                                                    & ( city @ Y2 @ mactual )
                                                                    & ( event @ Y3 @ mactual )
                                                                    & ( street @ Y4 @ mactual )
                                                                    & ( way @ Y4 @ mactual )
                                                                    & ( lonely @ Y4 @ mactual )
                                                                    & ( chevy @ Y5 @ mactual )
                                                                    & ( car @ Y5 @ mactual )
                                                                    & ( white @ Y5 @ mactual )
                                                                    & ( dirty @ Y5 @ mactual )
                                                                    & ( old @ Y5 @ mactual )
                                                                    & ( barrel @ Y3 @ Y5 @ mactual )
                                                                    & ( down @ Y3 @ Y4 @ mactual )
                                                                    & ( in @ Y3 @ Y2 @ mactual )
                                                                    & ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
                                                                    & ( fellow @ Y6 @ mactual )
                                                                    & ( man @ Y6 @ mactual )
                                                                    & ( young @ Y6 @ mactual )
                                                                    & ( fellow @ Y7 @ mactual )
                                                                    & ( man @ Y7 @ mactual )
                                                                    & ( young @ Y7 @ mactual )
                                                                    & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                    & ( in @ Y8 @ Y0 @ mactual )
                                                                    & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                    & ( in @ Y9 @ Y1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
          @ X1 ) )
    | ~ spl0_1 ),
    inference(pi_proxy_clausification,[],[f240]) ).

thf(f250,plain,
    ( ! [X1: $i] :
        ( $false
        = ( ( eiw_di @ X1 @ mactual )
          & ( ?? @ $i
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ mactual )
                & ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ mactual )
                      & ( ?? @ $i
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ mactual )
                            & ( ?? @ $i
                              @ ^ [Y3: $i] :
                                  ( ( eiw_di @ Y3 @ mactual )
                                  & ( ?? @ $i
                                    @ ^ [Y4: $i] :
                                        ( ( eiw_di @ Y4 @ mactual )
                                        & ( ?? @ $i
                                          @ ^ [Y5: $i] :
                                              ( ( eiw_di @ Y5 @ mactual )
                                              & ( ?? @ $i
                                                @ ^ [Y6: $i] :
                                                    ( ( eiw_di @ Y6 @ mactual )
                                                    & ( ?? @ $i
                                                      @ ^ [Y7: $i] :
                                                          ( ( eiw_di @ Y7 @ mactual )
                                                          & ( ?? @ $i
                                                            @ ^ [Y8: $i] :
                                                                ( ( eiw_di @ Y8 @ mactual )
                                                                & ( seat @ X1 @ mactual )
                                                                & ( furniture @ X1 @ mactual )
                                                                & ( front @ X1 @ mactual )
                                                                & ( seat @ Y0 @ mactual )
                                                                & ( furniture @ Y0 @ mactual )
                                                                & ( front @ Y0 @ mactual )
                                                                & ( hollywood @ Y1 @ mactual )
                                                                & ( city @ Y1 @ mactual )
                                                                & ( event @ Y2 @ mactual )
                                                                & ( street @ Y3 @ mactual )
                                                                & ( way @ Y3 @ mactual )
                                                                & ( lonely @ Y3 @ mactual )
                                                                & ( chevy @ Y4 @ mactual )
                                                                & ( car @ Y4 @ mactual )
                                                                & ( white @ Y4 @ mactual )
                                                                & ( dirty @ Y4 @ mactual )
                                                                & ( old @ Y4 @ mactual )
                                                                & ( barrel @ Y2 @ Y4 @ mactual )
                                                                & ( down @ Y2 @ Y3 @ mactual )
                                                                & ( in @ Y2 @ Y1 @ mactual )
                                                                & ~ ( qmltpeq @ Y5 @ Y6 @ mactual )
                                                                & ( fellow @ Y5 @ mactual )
                                                                & ( man @ Y5 @ mactual )
                                                                & ( young @ Y5 @ mactual )
                                                                & ( fellow @ Y6 @ mactual )
                                                                & ( man @ Y6 @ mactual )
                                                                & ( young @ Y6 @ mactual )
                                                                & ( qmltpeq @ Y5 @ Y7 @ mactual )
                                                                & ( in @ Y7 @ X1 @ mactual )
                                                                & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                & ( in @ Y8 @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ~ spl0_1 ),
    inference(beta-eta_normalization,[],[f247]) ).

thf(f251,plain,
    ( ! [X1: $i] :
        ( ( $false
          = ( ?? @ $i
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ mactual )
                & ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ mactual )
                      & ( ?? @ $i
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ mactual )
                            & ( ?? @ $i
                              @ ^ [Y3: $i] :
                                  ( ( eiw_di @ Y3 @ mactual )
                                  & ( ?? @ $i
                                    @ ^ [Y4: $i] :
                                        ( ( eiw_di @ Y4 @ mactual )
                                        & ( ?? @ $i
                                          @ ^ [Y5: $i] :
                                              ( ( eiw_di @ Y5 @ mactual )
                                              & ( ?? @ $i
                                                @ ^ [Y6: $i] :
                                                    ( ( eiw_di @ Y6 @ mactual )
                                                    & ( ?? @ $i
                                                      @ ^ [Y7: $i] :
                                                          ( ( eiw_di @ Y7 @ mactual )
                                                          & ( ?? @ $i
                                                            @ ^ [Y8: $i] :
                                                                ( ( eiw_di @ Y8 @ mactual )
                                                                & ( seat @ X1 @ mactual )
                                                                & ( furniture @ X1 @ mactual )
                                                                & ( front @ X1 @ mactual )
                                                                & ( seat @ Y0 @ mactual )
                                                                & ( furniture @ Y0 @ mactual )
                                                                & ( front @ Y0 @ mactual )
                                                                & ( hollywood @ Y1 @ mactual )
                                                                & ( city @ Y1 @ mactual )
                                                                & ( event @ Y2 @ mactual )
                                                                & ( street @ Y3 @ mactual )
                                                                & ( way @ Y3 @ mactual )
                                                                & ( lonely @ Y3 @ mactual )
                                                                & ( chevy @ Y4 @ mactual )
                                                                & ( car @ Y4 @ mactual )
                                                                & ( white @ Y4 @ mactual )
                                                                & ( dirty @ Y4 @ mactual )
                                                                & ( old @ Y4 @ mactual )
                                                                & ( barrel @ Y2 @ Y4 @ mactual )
                                                                & ( down @ Y2 @ Y3 @ mactual )
                                                                & ( in @ Y2 @ Y1 @ mactual )
                                                                & ~ ( qmltpeq @ Y5 @ Y6 @ mactual )
                                                                & ( fellow @ Y5 @ mactual )
                                                                & ( man @ Y5 @ mactual )
                                                                & ( young @ Y5 @ mactual )
                                                                & ( fellow @ Y6 @ mactual )
                                                                & ( man @ Y6 @ mactual )
                                                                & ( young @ Y6 @ mactual )
                                                                & ( qmltpeq @ Y5 @ Y7 @ mactual )
                                                                & ( in @ Y7 @ X1 @ mactual )
                                                                & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                & ( in @ Y8 @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f250]) ).

thf(f254,plain,
    ( ! [X2: $i,X1: $i] :
        ( ( $false
          = ( ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ mactual )
                & ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ mactual )
                      & ( ?? @ $i
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ mactual )
                            & ( ?? @ $i
                              @ ^ [Y3: $i] :
                                  ( ( eiw_di @ Y3 @ mactual )
                                  & ( ?? @ $i
                                    @ ^ [Y4: $i] :
                                        ( ( eiw_di @ Y4 @ mactual )
                                        & ( ?? @ $i
                                          @ ^ [Y5: $i] :
                                              ( ( eiw_di @ Y5 @ mactual )
                                              & ( ?? @ $i
                                                @ ^ [Y6: $i] :
                                                    ( ( eiw_di @ Y6 @ mactual )
                                                    & ( ?? @ $i
                                                      @ ^ [Y7: $i] :
                                                          ( ( eiw_di @ Y7 @ mactual )
                                                          & ( ?? @ $i
                                                            @ ^ [Y8: $i] :
                                                                ( ( eiw_di @ Y8 @ mactual )
                                                                & ( seat @ X1 @ mactual )
                                                                & ( furniture @ X1 @ mactual )
                                                                & ( front @ X1 @ mactual )
                                                                & ( seat @ Y0 @ mactual )
                                                                & ( furniture @ Y0 @ mactual )
                                                                & ( front @ Y0 @ mactual )
                                                                & ( hollywood @ Y1 @ mactual )
                                                                & ( city @ Y1 @ mactual )
                                                                & ( event @ Y2 @ mactual )
                                                                & ( street @ Y3 @ mactual )
                                                                & ( way @ Y3 @ mactual )
                                                                & ( lonely @ Y3 @ mactual )
                                                                & ( chevy @ Y4 @ mactual )
                                                                & ( car @ Y4 @ mactual )
                                                                & ( white @ Y4 @ mactual )
                                                                & ( dirty @ Y4 @ mactual )
                                                                & ( old @ Y4 @ mactual )
                                                                & ( barrel @ Y2 @ Y4 @ mactual )
                                                                & ( down @ Y2 @ Y3 @ mactual )
                                                                & ( in @ Y2 @ Y1 @ mactual )
                                                                & ~ ( qmltpeq @ Y5 @ Y6 @ mactual )
                                                                & ( fellow @ Y5 @ mactual )
                                                                & ( man @ Y5 @ mactual )
                                                                & ( young @ Y5 @ mactual )
                                                                & ( fellow @ Y6 @ mactual )
                                                                & ( man @ Y6 @ mactual )
                                                                & ( young @ Y6 @ mactual )
                                                                & ( qmltpeq @ Y5 @ Y7 @ mactual )
                                                                & ( in @ Y7 @ X1 @ mactual )
                                                                & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                & ( in @ Y8 @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
            @ X2 ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(pi_proxy_clausification,[],[f251]) ).

thf(f257,plain,
    ( ! [X2: $i,X1: $i] :
        ( ( ( ( eiw_di @ X2 @ mactual )
            & ( ?? @ $i
              @ ^ [Y0: $i] :
                  ( ( eiw_di @ Y0 @ mactual )
                  & ( ?? @ $i
                    @ ^ [Y1: $i] :
                        ( ( eiw_di @ Y1 @ mactual )
                        & ( ?? @ $i
                          @ ^ [Y2: $i] :
                              ( ( eiw_di @ Y2 @ mactual )
                              & ( ?? @ $i
                                @ ^ [Y3: $i] :
                                    ( ( eiw_di @ Y3 @ mactual )
                                    & ( ?? @ $i
                                      @ ^ [Y4: $i] :
                                          ( ( eiw_di @ Y4 @ mactual )
                                          & ( ?? @ $i
                                            @ ^ [Y5: $i] :
                                                ( ( eiw_di @ Y5 @ mactual )
                                                & ( ?? @ $i
                                                  @ ^ [Y6: $i] :
                                                      ( ( eiw_di @ Y6 @ mactual )
                                                      & ( ?? @ $i
                                                        @ ^ [Y7: $i] :
                                                            ( ( eiw_di @ Y7 @ mactual )
                                                            & ( seat @ X1 @ mactual )
                                                            & ( furniture @ X1 @ mactual )
                                                            & ( front @ X1 @ mactual )
                                                            & ( seat @ X2 @ mactual )
                                                            & ( furniture @ X2 @ mactual )
                                                            & ( front @ X2 @ mactual )
                                                            & ( hollywood @ Y0 @ mactual )
                                                            & ( city @ Y0 @ mactual )
                                                            & ( event @ Y1 @ mactual )
                                                            & ( street @ Y2 @ mactual )
                                                            & ( way @ Y2 @ mactual )
                                                            & ( lonely @ Y2 @ mactual )
                                                            & ( chevy @ Y3 @ mactual )
                                                            & ( car @ Y3 @ mactual )
                                                            & ( white @ Y3 @ mactual )
                                                            & ( dirty @ Y3 @ mactual )
                                                            & ( old @ Y3 @ mactual )
                                                            & ( barrel @ Y1 @ Y3 @ mactual )
                                                            & ( down @ Y1 @ Y2 @ mactual )
                                                            & ( in @ Y1 @ Y0 @ mactual )
                                                            & ~ ( qmltpeq @ Y4 @ Y5 @ mactual )
                                                            & ( fellow @ Y4 @ mactual )
                                                            & ( man @ Y4 @ mactual )
                                                            & ( young @ Y4 @ mactual )
                                                            & ( fellow @ Y5 @ mactual )
                                                            & ( man @ Y5 @ mactual )
                                                            & ( young @ Y5 @ mactual )
                                                            & ( qmltpeq @ Y4 @ Y6 @ mactual )
                                                            & ( in @ Y6 @ X1 @ mactual )
                                                            & ( qmltpeq @ Y5 @ Y7 @ mactual )
                                                            & ( in @ Y7 @ X2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(beta-eta_normalization,[],[f254]) ).

thf(f258,plain,
    ( ! [X2: $i,X1: $i] :
        ( ( $false
          = ( ?? @ $i
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ mactual )
                & ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ mactual )
                      & ( ?? @ $i
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ mactual )
                            & ( ?? @ $i
                              @ ^ [Y3: $i] :
                                  ( ( eiw_di @ Y3 @ mactual )
                                  & ( ?? @ $i
                                    @ ^ [Y4: $i] :
                                        ( ( eiw_di @ Y4 @ mactual )
                                        & ( ?? @ $i
                                          @ ^ [Y5: $i] :
                                              ( ( eiw_di @ Y5 @ mactual )
                                              & ( ?? @ $i
                                                @ ^ [Y6: $i] :
                                                    ( ( eiw_di @ Y6 @ mactual )
                                                    & ( ?? @ $i
                                                      @ ^ [Y7: $i] :
                                                          ( ( eiw_di @ Y7 @ mactual )
                                                          & ( seat @ X1 @ mactual )
                                                          & ( furniture @ X1 @ mactual )
                                                          & ( front @ X1 @ mactual )
                                                          & ( seat @ X2 @ mactual )
                                                          & ( furniture @ X2 @ mactual )
                                                          & ( front @ X2 @ mactual )
                                                          & ( hollywood @ Y0 @ mactual )
                                                          & ( city @ Y0 @ mactual )
                                                          & ( event @ Y1 @ mactual )
                                                          & ( street @ Y2 @ mactual )
                                                          & ( way @ Y2 @ mactual )
                                                          & ( lonely @ Y2 @ mactual )
                                                          & ( chevy @ Y3 @ mactual )
                                                          & ( car @ Y3 @ mactual )
                                                          & ( white @ Y3 @ mactual )
                                                          & ( dirty @ Y3 @ mactual )
                                                          & ( old @ Y3 @ mactual )
                                                          & ( barrel @ Y1 @ Y3 @ mactual )
                                                          & ( down @ Y1 @ Y2 @ mactual )
                                                          & ( in @ Y1 @ Y0 @ mactual )
                                                          & ~ ( qmltpeq @ Y4 @ Y5 @ mactual )
                                                          & ( fellow @ Y4 @ mactual )
                                                          & ( man @ Y4 @ mactual )
                                                          & ( young @ Y4 @ mactual )
                                                          & ( fellow @ Y5 @ mactual )
                                                          & ( man @ Y5 @ mactual )
                                                          & ( young @ Y5 @ mactual )
                                                          & ( qmltpeq @ Y4 @ Y6 @ mactual )
                                                          & ( in @ Y6 @ X1 @ mactual )
                                                          & ( qmltpeq @ Y5 @ Y7 @ mactual )
                                                          & ( in @ Y7 @ X2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f257]) ).

thf(f259,plain,
    ( ( $true
      = ( ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ mactual )
                        & ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ mactual )
                              & ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( eiw_di @ Y4 @ mactual )
                                    & ( ?? @ $i
                                      @ ^ [Y5: $i] :
                                          ( ( eiw_di @ Y5 @ mactual )
                                          & ( ?? @ $i
                                            @ ^ [Y6: $i] :
                                                ( ( eiw_di @ Y6 @ mactual )
                                                & ( ?? @ $i
                                                  @ ^ [Y7: $i] :
                                                      ( ( eiw_di @ Y7 @ mactual )
                                                      & ( seat @ sK1 @ mactual )
                                                      & ( furniture @ sK1 @ mactual )
                                                      & ( front @ sK1 @ mactual )
                                                      & ( seat @ sK2 @ mactual )
                                                      & ( furniture @ sK2 @ mactual )
                                                      & ( front @ sK2 @ mactual )
                                                      & ( hollywood @ Y0 @ mactual )
                                                      & ( city @ Y0 @ mactual )
                                                      & ( event @ Y1 @ mactual )
                                                      & ( chevy @ Y2 @ mactual )
                                                      & ( car @ Y2 @ mactual )
                                                      & ( white @ Y2 @ mactual )
                                                      & ( dirty @ Y2 @ mactual )
                                                      & ( old @ Y2 @ mactual )
                                                      & ( street @ Y3 @ mactual )
                                                      & ( way @ Y3 @ mactual )
                                                      & ( lonely @ Y3 @ mactual )
                                                      & ( barrel @ Y1 @ Y2 @ mactual )
                                                      & ( down @ Y1 @ Y3 @ mactual )
                                                      & ( in @ Y1 @ Y0 @ mactual )
                                                      & ~ ( qmltpeq @ Y4 @ Y5 @ mactual )
                                                      & ( fellow @ Y4 @ mactual )
                                                      & ( man @ Y4 @ mactual )
                                                      & ( young @ Y4 @ mactual )
                                                      & ( fellow @ Y5 @ mactual )
                                                      & ( man @ Y5 @ mactual )
                                                      & ( young @ Y5 @ mactual )
                                                      & ( qmltpeq @ Y4 @ Y6 @ mactual )
                                                      & ( in @ Y6 @ sK1 @ mactual )
                                                      & ( qmltpeq @ Y5 @ Y7 @ mactual )
                                                      & ( in @ Y7 @ sK2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
        @ sK3 ) )
    | ~ spl0_1 ),
    inference(sigma_proxy_clausification,[],[f245]) ).

thf(f262,plain,
    ( ( ( ( eiw_di @ sK3 @ mactual )
        & ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ?? @ $i
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( ?? @ $i
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ mactual )
                                      & ( ?? @ $i
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ mactual )
                                            & ( ?? @ $i
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ mactual )
                                                  & ( seat @ sK1 @ mactual )
                                                  & ( furniture @ sK1 @ mactual )
                                                  & ( front @ sK1 @ mactual )
                                                  & ( seat @ sK2 @ mactual )
                                                  & ( furniture @ sK2 @ mactual )
                                                  & ( front @ sK2 @ mactual )
                                                  & ( hollywood @ sK3 @ mactual )
                                                  & ( city @ sK3 @ mactual )
                                                  & ( event @ Y0 @ mactual )
                                                  & ( chevy @ Y1 @ mactual )
                                                  & ( car @ Y1 @ mactual )
                                                  & ( white @ Y1 @ mactual )
                                                  & ( dirty @ Y1 @ mactual )
                                                  & ( old @ Y1 @ mactual )
                                                  & ( street @ Y2 @ mactual )
                                                  & ( way @ Y2 @ mactual )
                                                  & ( lonely @ Y2 @ mactual )
                                                  & ( barrel @ Y0 @ Y1 @ mactual )
                                                  & ( down @ Y0 @ Y2 @ mactual )
                                                  & ( in @ Y0 @ sK3 @ mactual )
                                                  & ~ ( qmltpeq @ Y3 @ Y4 @ mactual )
                                                  & ( fellow @ Y3 @ mactual )
                                                  & ( man @ Y3 @ mactual )
                                                  & ( young @ Y3 @ mactual )
                                                  & ( fellow @ Y4 @ mactual )
                                                  & ( man @ Y4 @ mactual )
                                                  & ( young @ Y4 @ mactual )
                                                  & ( qmltpeq @ Y3 @ Y5 @ mactual )
                                                  & ( in @ Y5 @ sK1 @ mactual )
                                                  & ( qmltpeq @ Y4 @ Y6 @ mactual )
                                                  & ( in @ Y6 @ sK2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      = $true )
    | ~ spl0_1 ),
    inference(beta-eta_normalization,[],[f259]) ).

thf(f263,plain,
    ( ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ mactual )
                        & ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ mactual )
                              & ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( eiw_di @ Y4 @ mactual )
                                    & ( ?? @ $i
                                      @ ^ [Y5: $i] :
                                          ( ( eiw_di @ Y5 @ mactual )
                                          & ( ?? @ $i
                                            @ ^ [Y6: $i] :
                                                ( ( eiw_di @ Y6 @ mactual )
                                                & ( seat @ sK1 @ mactual )
                                                & ( furniture @ sK1 @ mactual )
                                                & ( front @ sK1 @ mactual )
                                                & ( seat @ sK2 @ mactual )
                                                & ( furniture @ sK2 @ mactual )
                                                & ( front @ sK2 @ mactual )
                                                & ( hollywood @ sK3 @ mactual )
                                                & ( city @ sK3 @ mactual )
                                                & ( event @ Y0 @ mactual )
                                                & ( chevy @ Y1 @ mactual )
                                                & ( car @ Y1 @ mactual )
                                                & ( white @ Y1 @ mactual )
                                                & ( dirty @ Y1 @ mactual )
                                                & ( old @ Y1 @ mactual )
                                                & ( street @ Y2 @ mactual )
                                                & ( way @ Y2 @ mactual )
                                                & ( lonely @ Y2 @ mactual )
                                                & ( barrel @ Y0 @ Y1 @ mactual )
                                                & ( down @ Y0 @ Y2 @ mactual )
                                                & ( in @ Y0 @ sK3 @ mactual )
                                                & ~ ( qmltpeq @ Y3 @ Y4 @ mactual )
                                                & ( fellow @ Y3 @ mactual )
                                                & ( man @ Y3 @ mactual )
                                                & ( young @ Y3 @ mactual )
                                                & ( fellow @ Y4 @ mactual )
                                                & ( man @ Y4 @ mactual )
                                                & ( young @ Y4 @ mactual )
                                                & ( qmltpeq @ Y3 @ Y5 @ mactual )
                                                & ( in @ Y5 @ sK1 @ mactual )
                                                & ( qmltpeq @ Y4 @ Y6 @ mactual )
                                                & ( in @ Y6 @ sK2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f262]) ).

thf(f264,plain,
    ( ( ( eiw_di @ sK3 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f262]) ).

thf(f265,plain,
    ( ! [X2: $i,X3: $i,X1: $i] :
        ( ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ mactual )
                & ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ mactual )
                      & ( ?? @ $i
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ mactual )
                            & ( ?? @ $i
                              @ ^ [Y3: $i] :
                                  ( ( eiw_di @ Y3 @ mactual )
                                  & ( ?? @ $i
                                    @ ^ [Y4: $i] :
                                        ( ( eiw_di @ Y4 @ mactual )
                                        & ( ?? @ $i
                                          @ ^ [Y5: $i] :
                                              ( ( eiw_di @ Y5 @ mactual )
                                              & ( ?? @ $i
                                                @ ^ [Y6: $i] :
                                                    ( ( eiw_di @ Y6 @ mactual )
                                                    & ( ?? @ $i
                                                      @ ^ [Y7: $i] :
                                                          ( ( eiw_di @ Y7 @ mactual )
                                                          & ( seat @ X1 @ mactual )
                                                          & ( furniture @ X1 @ mactual )
                                                          & ( front @ X1 @ mactual )
                                                          & ( seat @ X2 @ mactual )
                                                          & ( furniture @ X2 @ mactual )
                                                          & ( front @ X2 @ mactual )
                                                          & ( hollywood @ Y0 @ mactual )
                                                          & ( city @ Y0 @ mactual )
                                                          & ( event @ Y1 @ mactual )
                                                          & ( street @ Y2 @ mactual )
                                                          & ( way @ Y2 @ mactual )
                                                          & ( lonely @ Y2 @ mactual )
                                                          & ( chevy @ Y3 @ mactual )
                                                          & ( car @ Y3 @ mactual )
                                                          & ( white @ Y3 @ mactual )
                                                          & ( dirty @ Y3 @ mactual )
                                                          & ( old @ Y3 @ mactual )
                                                          & ( barrel @ Y1 @ Y3 @ mactual )
                                                          & ( down @ Y1 @ Y2 @ mactual )
                                                          & ( in @ Y1 @ Y0 @ mactual )
                                                          & ~ ( qmltpeq @ Y4 @ Y5 @ mactual )
                                                          & ( fellow @ Y4 @ mactual )
                                                          & ( man @ Y4 @ mactual )
                                                          & ( young @ Y4 @ mactual )
                                                          & ( fellow @ Y5 @ mactual )
                                                          & ( man @ Y5 @ mactual )
                                                          & ( young @ Y5 @ mactual )
                                                          & ( qmltpeq @ Y4 @ Y6 @ mactual )
                                                          & ( in @ Y6 @ X1 @ mactual )
                                                          & ( qmltpeq @ Y5 @ Y7 @ mactual )
                                                          & ( in @ Y7 @ X2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
            @ X3 )
          = $false ) )
    | ~ spl0_1 ),
    inference(pi_proxy_clausification,[],[f258]) ).

thf(f268,plain,
    ( ! [X2: $i,X3: $i,X1: $i] :
        ( ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( ( eiw_di @ X3 @ mactual )
            & ( ?? @ $i
              @ ^ [Y0: $i] :
                  ( ( eiw_di @ Y0 @ mactual )
                  & ( ?? @ $i
                    @ ^ [Y1: $i] :
                        ( ( eiw_di @ Y1 @ mactual )
                        & ( ?? @ $i
                          @ ^ [Y2: $i] :
                              ( ( eiw_di @ Y2 @ mactual )
                              & ( ?? @ $i
                                @ ^ [Y3: $i] :
                                    ( ( eiw_di @ Y3 @ mactual )
                                    & ( ?? @ $i
                                      @ ^ [Y4: $i] :
                                          ( ( eiw_di @ Y4 @ mactual )
                                          & ( ?? @ $i
                                            @ ^ [Y5: $i] :
                                                ( ( eiw_di @ Y5 @ mactual )
                                                & ( ?? @ $i
                                                  @ ^ [Y6: $i] :
                                                      ( ( eiw_di @ Y6 @ mactual )
                                                      & ( seat @ X1 @ mactual )
                                                      & ( furniture @ X1 @ mactual )
                                                      & ( front @ X1 @ mactual )
                                                      & ( seat @ X2 @ mactual )
                                                      & ( furniture @ X2 @ mactual )
                                                      & ( front @ X2 @ mactual )
                                                      & ( hollywood @ X3 @ mactual )
                                                      & ( city @ X3 @ mactual )
                                                      & ( event @ Y0 @ mactual )
                                                      & ( street @ Y1 @ mactual )
                                                      & ( way @ Y1 @ mactual )
                                                      & ( lonely @ Y1 @ mactual )
                                                      & ( chevy @ Y2 @ mactual )
                                                      & ( car @ Y2 @ mactual )
                                                      & ( white @ Y2 @ mactual )
                                                      & ( dirty @ Y2 @ mactual )
                                                      & ( old @ Y2 @ mactual )
                                                      & ( barrel @ Y0 @ Y2 @ mactual )
                                                      & ( down @ Y0 @ Y1 @ mactual )
                                                      & ( in @ Y0 @ X3 @ mactual )
                                                      & ~ ( qmltpeq @ Y3 @ Y4 @ mactual )
                                                      & ( fellow @ Y3 @ mactual )
                                                      & ( man @ Y3 @ mactual )
                                                      & ( young @ Y3 @ mactual )
                                                      & ( fellow @ Y4 @ mactual )
                                                      & ( man @ Y4 @ mactual )
                                                      & ( young @ Y4 @ mactual )
                                                      & ( qmltpeq @ Y3 @ Y5 @ mactual )
                                                      & ( in @ Y5 @ X1 @ mactual )
                                                      & ( qmltpeq @ Y4 @ Y6 @ mactual )
                                                      & ( in @ Y6 @ X2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
          = $false ) )
    | ~ spl0_1 ),
    inference(beta-eta_normalization,[],[f265]) ).

thf(f269,plain,
    ( ! [X2: $i,X3: $i,X1: $i] :
        ( ( ( ?? @ $i
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ mactual )
                & ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ mactual )
                      & ( ?? @ $i
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ mactual )
                            & ( ?? @ $i
                              @ ^ [Y3: $i] :
                                  ( ( eiw_di @ Y3 @ mactual )
                                  & ( ?? @ $i
                                    @ ^ [Y4: $i] :
                                        ( ( eiw_di @ Y4 @ mactual )
                                        & ( ?? @ $i
                                          @ ^ [Y5: $i] :
                                              ( ( eiw_di @ Y5 @ mactual )
                                              & ( ?? @ $i
                                                @ ^ [Y6: $i] :
                                                    ( ( eiw_di @ Y6 @ mactual )
                                                    & ( seat @ X1 @ mactual )
                                                    & ( furniture @ X1 @ mactual )
                                                    & ( front @ X1 @ mactual )
                                                    & ( seat @ X2 @ mactual )
                                                    & ( furniture @ X2 @ mactual )
                                                    & ( front @ X2 @ mactual )
                                                    & ( hollywood @ X3 @ mactual )
                                                    & ( city @ X3 @ mactual )
                                                    & ( event @ Y0 @ mactual )
                                                    & ( street @ Y1 @ mactual )
                                                    & ( way @ Y1 @ mactual )
                                                    & ( lonely @ Y1 @ mactual )
                                                    & ( chevy @ Y2 @ mactual )
                                                    & ( car @ Y2 @ mactual )
                                                    & ( white @ Y2 @ mactual )
                                                    & ( dirty @ Y2 @ mactual )
                                                    & ( old @ Y2 @ mactual )
                                                    & ( barrel @ Y0 @ Y2 @ mactual )
                                                    & ( down @ Y0 @ Y1 @ mactual )
                                                    & ( in @ Y0 @ X3 @ mactual )
                                                    & ~ ( qmltpeq @ Y3 @ Y4 @ mactual )
                                                    & ( fellow @ Y3 @ mactual )
                                                    & ( man @ Y3 @ mactual )
                                                    & ( young @ Y3 @ mactual )
                                                    & ( fellow @ Y4 @ mactual )
                                                    & ( man @ Y4 @ mactual )
                                                    & ( young @ Y4 @ mactual )
                                                    & ( qmltpeq @ Y3 @ Y5 @ mactual )
                                                    & ( in @ Y5 @ X1 @ mactual )
                                                    & ( qmltpeq @ Y4 @ Y6 @ mactual )
                                                    & ( in @ Y6 @ X2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f268]) ).

thf(f272,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X4: $i] :
        ( ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ mactual )
                & ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ mactual )
                      & ( ?? @ $i
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ mactual )
                            & ( ?? @ $i
                              @ ^ [Y3: $i] :
                                  ( ( eiw_di @ Y3 @ mactual )
                                  & ( ?? @ $i
                                    @ ^ [Y4: $i] :
                                        ( ( eiw_di @ Y4 @ mactual )
                                        & ( ?? @ $i
                                          @ ^ [Y5: $i] :
                                              ( ( eiw_di @ Y5 @ mactual )
                                              & ( ?? @ $i
                                                @ ^ [Y6: $i] :
                                                    ( ( eiw_di @ Y6 @ mactual )
                                                    & ( seat @ X1 @ mactual )
                                                    & ( furniture @ X1 @ mactual )
                                                    & ( front @ X1 @ mactual )
                                                    & ( seat @ X2 @ mactual )
                                                    & ( furniture @ X2 @ mactual )
                                                    & ( front @ X2 @ mactual )
                                                    & ( hollywood @ X3 @ mactual )
                                                    & ( city @ X3 @ mactual )
                                                    & ( event @ Y0 @ mactual )
                                                    & ( street @ Y1 @ mactual )
                                                    & ( way @ Y1 @ mactual )
                                                    & ( lonely @ Y1 @ mactual )
                                                    & ( chevy @ Y2 @ mactual )
                                                    & ( car @ Y2 @ mactual )
                                                    & ( white @ Y2 @ mactual )
                                                    & ( dirty @ Y2 @ mactual )
                                                    & ( old @ Y2 @ mactual )
                                                    & ( barrel @ Y0 @ Y2 @ mactual )
                                                    & ( down @ Y0 @ Y1 @ mactual )
                                                    & ( in @ Y0 @ X3 @ mactual )
                                                    & ~ ( qmltpeq @ Y3 @ Y4 @ mactual )
                                                    & ( fellow @ Y3 @ mactual )
                                                    & ( man @ Y3 @ mactual )
                                                    & ( young @ Y3 @ mactual )
                                                    & ( fellow @ Y4 @ mactual )
                                                    & ( man @ Y4 @ mactual )
                                                    & ( young @ Y4 @ mactual )
                                                    & ( qmltpeq @ Y3 @ Y5 @ mactual )
                                                    & ( in @ Y5 @ X1 @ mactual )
                                                    & ( qmltpeq @ Y4 @ Y6 @ mactual )
                                                    & ( in @ Y6 @ X2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) )
            @ X4 ) ) )
    | ~ spl0_1 ),
    inference(pi_proxy_clausification,[],[f269]) ).

thf(f274,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X4: $i] :
        ( ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( ( eiw_di @ X4 @ mactual )
            & ( ?? @ $i
              @ ^ [Y0: $i] :
                  ( ( eiw_di @ Y0 @ mactual )
                  & ( ?? @ $i
                    @ ^ [Y1: $i] :
                        ( ( eiw_di @ Y1 @ mactual )
                        & ( ?? @ $i
                          @ ^ [Y2: $i] :
                              ( ( eiw_di @ Y2 @ mactual )
                              & ( ?? @ $i
                                @ ^ [Y3: $i] :
                                    ( ( eiw_di @ Y3 @ mactual )
                                    & ( ?? @ $i
                                      @ ^ [Y4: $i] :
                                          ( ( eiw_di @ Y4 @ mactual )
                                          & ( ?? @ $i
                                            @ ^ [Y5: $i] :
                                                ( ( eiw_di @ Y5 @ mactual )
                                                & ( seat @ X1 @ mactual )
                                                & ( furniture @ X1 @ mactual )
                                                & ( front @ X1 @ mactual )
                                                & ( seat @ X2 @ mactual )
                                                & ( furniture @ X2 @ mactual )
                                                & ( front @ X2 @ mactual )
                                                & ( hollywood @ X3 @ mactual )
                                                & ( city @ X3 @ mactual )
                                                & ( event @ X4 @ mactual )
                                                & ( street @ Y0 @ mactual )
                                                & ( way @ Y0 @ mactual )
                                                & ( lonely @ Y0 @ mactual )
                                                & ( chevy @ Y1 @ mactual )
                                                & ( car @ Y1 @ mactual )
                                                & ( white @ Y1 @ mactual )
                                                & ( dirty @ Y1 @ mactual )
                                                & ( old @ Y1 @ mactual )
                                                & ( barrel @ X4 @ Y1 @ mactual )
                                                & ( down @ X4 @ Y0 @ mactual )
                                                & ( in @ X4 @ X3 @ mactual )
                                                & ~ ( qmltpeq @ Y2 @ Y3 @ mactual )
                                                & ( fellow @ Y2 @ mactual )
                                                & ( man @ Y2 @ mactual )
                                                & ( young @ Y2 @ mactual )
                                                & ( fellow @ Y3 @ mactual )
                                                & ( man @ Y3 @ mactual )
                                                & ( young @ Y3 @ mactual )
                                                & ( qmltpeq @ Y2 @ Y4 @ mactual )
                                                & ( in @ Y4 @ X1 @ mactual )
                                                & ( qmltpeq @ Y3 @ Y5 @ mactual )
                                                & ( in @ Y5 @ X2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) )
          = $false ) )
    | ~ spl0_1 ),
    inference(beta-eta_normalization,[],[f272]) ).

thf(f276,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X4: $i] :
        ( ( ( ?? @ $i
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ mactual )
                & ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ mactual )
                      & ( ?? @ $i
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ mactual )
                            & ( ?? @ $i
                              @ ^ [Y3: $i] :
                                  ( ( eiw_di @ Y3 @ mactual )
                                  & ( ?? @ $i
                                    @ ^ [Y4: $i] :
                                        ( ( eiw_di @ Y4 @ mactual )
                                        & ( ?? @ $i
                                          @ ^ [Y5: $i] :
                                              ( ( eiw_di @ Y5 @ mactual )
                                              & ( seat @ X1 @ mactual )
                                              & ( furniture @ X1 @ mactual )
                                              & ( front @ X1 @ mactual )
                                              & ( seat @ X2 @ mactual )
                                              & ( furniture @ X2 @ mactual )
                                              & ( front @ X2 @ mactual )
                                              & ( hollywood @ X3 @ mactual )
                                              & ( city @ X3 @ mactual )
                                              & ( event @ X4 @ mactual )
                                              & ( street @ Y0 @ mactual )
                                              & ( way @ Y0 @ mactual )
                                              & ( lonely @ Y0 @ mactual )
                                              & ( chevy @ Y1 @ mactual )
                                              & ( car @ Y1 @ mactual )
                                              & ( white @ Y1 @ mactual )
                                              & ( dirty @ Y1 @ mactual )
                                              & ( old @ Y1 @ mactual )
                                              & ( barrel @ X4 @ Y1 @ mactual )
                                              & ( down @ X4 @ Y0 @ mactual )
                                              & ( in @ X4 @ X3 @ mactual )
                                              & ~ ( qmltpeq @ Y2 @ Y3 @ mactual )
                                              & ( fellow @ Y2 @ mactual )
                                              & ( man @ Y2 @ mactual )
                                              & ( young @ Y2 @ mactual )
                                              & ( fellow @ Y3 @ mactual )
                                              & ( man @ Y3 @ mactual )
                                              & ( young @ Y3 @ mactual )
                                              & ( qmltpeq @ Y2 @ Y4 @ mactual )
                                              & ( in @ Y4 @ X1 @ mactual )
                                              & ( qmltpeq @ Y3 @ Y5 @ mactual )
                                              & ( in @ Y5 @ X2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f274]) ).

thf(f277,plain,
    ( ( $true
      = ( ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ mactual )
                        & ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ mactual )
                              & ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( eiw_di @ Y4 @ mactual )
                                    & ( ?? @ $i
                                      @ ^ [Y5: $i] :
                                          ( ( eiw_di @ Y5 @ mactual )
                                          & ( ?? @ $i
                                            @ ^ [Y6: $i] :
                                                ( ( eiw_di @ Y6 @ mactual )
                                                & ( seat @ sK1 @ mactual )
                                                & ( furniture @ sK1 @ mactual )
                                                & ( front @ sK1 @ mactual )
                                                & ( seat @ sK2 @ mactual )
                                                & ( furniture @ sK2 @ mactual )
                                                & ( front @ sK2 @ mactual )
                                                & ( hollywood @ sK3 @ mactual )
                                                & ( city @ sK3 @ mactual )
                                                & ( event @ Y0 @ mactual )
                                                & ( chevy @ Y1 @ mactual )
                                                & ( car @ Y1 @ mactual )
                                                & ( white @ Y1 @ mactual )
                                                & ( dirty @ Y1 @ mactual )
                                                & ( old @ Y1 @ mactual )
                                                & ( street @ Y2 @ mactual )
                                                & ( way @ Y2 @ mactual )
                                                & ( lonely @ Y2 @ mactual )
                                                & ( barrel @ Y0 @ Y1 @ mactual )
                                                & ( down @ Y0 @ Y2 @ mactual )
                                                & ( in @ Y0 @ sK3 @ mactual )
                                                & ~ ( qmltpeq @ Y3 @ Y4 @ mactual )
                                                & ( fellow @ Y3 @ mactual )
                                                & ( man @ Y3 @ mactual )
                                                & ( young @ Y3 @ mactual )
                                                & ( fellow @ Y4 @ mactual )
                                                & ( man @ Y4 @ mactual )
                                                & ( young @ Y4 @ mactual )
                                                & ( qmltpeq @ Y3 @ Y5 @ mactual )
                                                & ( in @ Y5 @ sK1 @ mactual )
                                                & ( qmltpeq @ Y4 @ Y6 @ mactual )
                                                & ( in @ Y6 @ sK2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) )
        @ sK4 ) )
    | ~ spl0_1 ),
    inference(sigma_proxy_clausification,[],[f263]) ).

thf(f279,plain,
    ( ( ( ( eiw_di @ sK4 @ mactual )
        & ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ?? @ $i
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( ?? @ $i
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ mactual )
                                      & ( ?? @ $i
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ mactual )
                                            & ( seat @ sK1 @ mactual )
                                            & ( furniture @ sK1 @ mactual )
                                            & ( front @ sK1 @ mactual )
                                            & ( seat @ sK2 @ mactual )
                                            & ( furniture @ sK2 @ mactual )
                                            & ( front @ sK2 @ mactual )
                                            & ( hollywood @ sK3 @ mactual )
                                            & ( city @ sK3 @ mactual )
                                            & ( event @ sK4 @ mactual )
                                            & ( chevy @ Y0 @ mactual )
                                            & ( car @ Y0 @ mactual )
                                            & ( white @ Y0 @ mactual )
                                            & ( dirty @ Y0 @ mactual )
                                            & ( old @ Y0 @ mactual )
                                            & ( street @ Y1 @ mactual )
                                            & ( way @ Y1 @ mactual )
                                            & ( lonely @ Y1 @ mactual )
                                            & ( barrel @ sK4 @ Y0 @ mactual )
                                            & ( down @ sK4 @ Y1 @ mactual )
                                            & ( in @ sK4 @ sK3 @ mactual )
                                            & ~ ( qmltpeq @ Y2 @ Y3 @ mactual )
                                            & ( fellow @ Y2 @ mactual )
                                            & ( man @ Y2 @ mactual )
                                            & ( young @ Y2 @ mactual )
                                            & ( fellow @ Y3 @ mactual )
                                            & ( man @ Y3 @ mactual )
                                            & ( young @ Y3 @ mactual )
                                            & ( qmltpeq @ Y2 @ Y4 @ mactual )
                                            & ( in @ Y4 @ sK1 @ mactual )
                                            & ( qmltpeq @ Y3 @ Y5 @ mactual )
                                            & ( in @ Y5 @ sK2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) )
      = $true )
    | ~ spl0_1 ),
    inference(beta-eta_normalization,[],[f277]) ).

thf(f281,plain,
    ( ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ mactual )
                        & ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ mactual )
                              & ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( eiw_di @ Y4 @ mactual )
                                    & ( ?? @ $i
                                      @ ^ [Y5: $i] :
                                          ( ( eiw_di @ Y5 @ mactual )
                                          & ( seat @ sK1 @ mactual )
                                          & ( furniture @ sK1 @ mactual )
                                          & ( front @ sK1 @ mactual )
                                          & ( seat @ sK2 @ mactual )
                                          & ( furniture @ sK2 @ mactual )
                                          & ( front @ sK2 @ mactual )
                                          & ( hollywood @ sK3 @ mactual )
                                          & ( city @ sK3 @ mactual )
                                          & ( event @ sK4 @ mactual )
                                          & ( chevy @ Y0 @ mactual )
                                          & ( car @ Y0 @ mactual )
                                          & ( white @ Y0 @ mactual )
                                          & ( dirty @ Y0 @ mactual )
                                          & ( old @ Y0 @ mactual )
                                          & ( street @ Y1 @ mactual )
                                          & ( way @ Y1 @ mactual )
                                          & ( lonely @ Y1 @ mactual )
                                          & ( barrel @ sK4 @ Y0 @ mactual )
                                          & ( down @ sK4 @ Y1 @ mactual )
                                          & ( in @ sK4 @ sK3 @ mactual )
                                          & ~ ( qmltpeq @ Y2 @ Y3 @ mactual )
                                          & ( fellow @ Y2 @ mactual )
                                          & ( man @ Y2 @ mactual )
                                          & ( young @ Y2 @ mactual )
                                          & ( fellow @ Y3 @ mactual )
                                          & ( man @ Y3 @ mactual )
                                          & ( young @ Y3 @ mactual )
                                          & ( qmltpeq @ Y2 @ Y4 @ mactual )
                                          & ( in @ Y4 @ sK1 @ mactual )
                                          & ( qmltpeq @ Y3 @ Y5 @ mactual )
                                          & ( in @ Y5 @ sK2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f279]) ).

thf(f282,plain,
    ( ( $true
      = ( eiw_di @ sK4 @ mactual ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f279]) ).

thf(f283,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ mactual )
                & ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ mactual )
                      & ( ?? @ $i
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ mactual )
                            & ( ?? @ $i
                              @ ^ [Y3: $i] :
                                  ( ( eiw_di @ Y3 @ mactual )
                                  & ( ?? @ $i
                                    @ ^ [Y4: $i] :
                                        ( ( eiw_di @ Y4 @ mactual )
                                        & ( ?? @ $i
                                          @ ^ [Y5: $i] :
                                              ( ( eiw_di @ Y5 @ mactual )
                                              & ( seat @ X1 @ mactual )
                                              & ( furniture @ X1 @ mactual )
                                              & ( front @ X1 @ mactual )
                                              & ( seat @ X2 @ mactual )
                                              & ( furniture @ X2 @ mactual )
                                              & ( front @ X2 @ mactual )
                                              & ( hollywood @ X3 @ mactual )
                                              & ( city @ X3 @ mactual )
                                              & ( event @ X4 @ mactual )
                                              & ( street @ Y0 @ mactual )
                                              & ( way @ Y0 @ mactual )
                                              & ( lonely @ Y0 @ mactual )
                                              & ( chevy @ Y1 @ mactual )
                                              & ( car @ Y1 @ mactual )
                                              & ( white @ Y1 @ mactual )
                                              & ( dirty @ Y1 @ mactual )
                                              & ( old @ Y1 @ mactual )
                                              & ( barrel @ X4 @ Y1 @ mactual )
                                              & ( down @ X4 @ Y0 @ mactual )
                                              & ( in @ X4 @ X3 @ mactual )
                                              & ~ ( qmltpeq @ Y2 @ Y3 @ mactual )
                                              & ( fellow @ Y2 @ mactual )
                                              & ( man @ Y2 @ mactual )
                                              & ( young @ Y2 @ mactual )
                                              & ( fellow @ Y3 @ mactual )
                                              & ( man @ Y3 @ mactual )
                                              & ( young @ Y3 @ mactual )
                                              & ( qmltpeq @ Y2 @ Y4 @ mactual )
                                              & ( in @ Y4 @ X1 @ mactual )
                                              & ( qmltpeq @ Y3 @ Y5 @ mactual )
                                              & ( in @ Y5 @ X2 @ mactual ) ) ) ) ) ) ) ) ) ) ) )
            @ X5 ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(pi_proxy_clausification,[],[f276]) ).

thf(f285,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( ( eiw_di @ X5 @ mactual )
            & ( ?? @ $i
              @ ^ [Y0: $i] :
                  ( ( eiw_di @ Y0 @ mactual )
                  & ( ?? @ $i
                    @ ^ [Y1: $i] :
                        ( ( eiw_di @ Y1 @ mactual )
                        & ( ?? @ $i
                          @ ^ [Y2: $i] :
                              ( ( eiw_di @ Y2 @ mactual )
                              & ( ?? @ $i
                                @ ^ [Y3: $i] :
                                    ( ( eiw_di @ Y3 @ mactual )
                                    & ( ?? @ $i
                                      @ ^ [Y4: $i] :
                                          ( ( eiw_di @ Y4 @ mactual )
                                          & ( seat @ X1 @ mactual )
                                          & ( furniture @ X1 @ mactual )
                                          & ( front @ X1 @ mactual )
                                          & ( seat @ X2 @ mactual )
                                          & ( furniture @ X2 @ mactual )
                                          & ( front @ X2 @ mactual )
                                          & ( hollywood @ X3 @ mactual )
                                          & ( city @ X3 @ mactual )
                                          & ( event @ X4 @ mactual )
                                          & ( street @ X5 @ mactual )
                                          & ( way @ X5 @ mactual )
                                          & ( lonely @ X5 @ mactual )
                                          & ( chevy @ Y0 @ mactual )
                                          & ( car @ Y0 @ mactual )
                                          & ( white @ Y0 @ mactual )
                                          & ( dirty @ Y0 @ mactual )
                                          & ( old @ Y0 @ mactual )
                                          & ( barrel @ X4 @ Y0 @ mactual )
                                          & ( down @ X4 @ X5 @ mactual )
                                          & ( in @ X4 @ X3 @ mactual )
                                          & ~ ( qmltpeq @ Y1 @ Y2 @ mactual )
                                          & ( fellow @ Y1 @ mactual )
                                          & ( man @ Y1 @ mactual )
                                          & ( young @ Y1 @ mactual )
                                          & ( fellow @ Y2 @ mactual )
                                          & ( man @ Y2 @ mactual )
                                          & ( young @ Y2 @ mactual )
                                          & ( qmltpeq @ Y1 @ Y3 @ mactual )
                                          & ( in @ Y3 @ X1 @ mactual )
                                          & ( qmltpeq @ Y2 @ Y4 @ mactual )
                                          & ( in @ Y4 @ X2 @ mactual ) ) ) ) ) ) ) ) ) ) ) )
          = $false ) )
    | ~ spl0_1 ),
    inference(beta-eta_normalization,[],[f283]) ).

thf(f287,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X4: $i,X5: $i] :
        ( ( ( ?? @ $i
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ mactual )
                & ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ mactual )
                      & ( ?? @ $i
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ mactual )
                            & ( ?? @ $i
                              @ ^ [Y3: $i] :
                                  ( ( eiw_di @ Y3 @ mactual )
                                  & ( ?? @ $i
                                    @ ^ [Y4: $i] :
                                        ( ( eiw_di @ Y4 @ mactual )
                                        & ( seat @ X1 @ mactual )
                                        & ( furniture @ X1 @ mactual )
                                        & ( front @ X1 @ mactual )
                                        & ( seat @ X2 @ mactual )
                                        & ( furniture @ X2 @ mactual )
                                        & ( front @ X2 @ mactual )
                                        & ( hollywood @ X3 @ mactual )
                                        & ( city @ X3 @ mactual )
                                        & ( event @ X4 @ mactual )
                                        & ( street @ X5 @ mactual )
                                        & ( way @ X5 @ mactual )
                                        & ( lonely @ X5 @ mactual )
                                        & ( chevy @ Y0 @ mactual )
                                        & ( car @ Y0 @ mactual )
                                        & ( white @ Y0 @ mactual )
                                        & ( dirty @ Y0 @ mactual )
                                        & ( old @ Y0 @ mactual )
                                        & ( barrel @ X4 @ Y0 @ mactual )
                                        & ( down @ X4 @ X5 @ mactual )
                                        & ( in @ X4 @ X3 @ mactual )
                                        & ~ ( qmltpeq @ Y1 @ Y2 @ mactual )
                                        & ( fellow @ Y1 @ mactual )
                                        & ( man @ Y1 @ mactual )
                                        & ( young @ Y1 @ mactual )
                                        & ( fellow @ Y2 @ mactual )
                                        & ( man @ Y2 @ mactual )
                                        & ( young @ Y2 @ mactual )
                                        & ( qmltpeq @ Y1 @ Y3 @ mactual )
                                        & ( in @ Y3 @ X1 @ mactual )
                                        & ( qmltpeq @ Y2 @ Y4 @ mactual )
                                        & ( in @ Y4 @ X2 @ mactual ) ) ) ) ) ) ) ) ) ) )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f285]) ).

thf(f290,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X6: $i,X4: $i,X5: $i] :
        ( ( ( ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ mactual )
                & ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ mactual )
                      & ( ?? @ $i
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ mactual )
                            & ( ?? @ $i
                              @ ^ [Y3: $i] :
                                  ( ( eiw_di @ Y3 @ mactual )
                                  & ( ?? @ $i
                                    @ ^ [Y4: $i] :
                                        ( ( eiw_di @ Y4 @ mactual )
                                        & ( seat @ X1 @ mactual )
                                        & ( furniture @ X1 @ mactual )
                                        & ( front @ X1 @ mactual )
                                        & ( seat @ X2 @ mactual )
                                        & ( furniture @ X2 @ mactual )
                                        & ( front @ X2 @ mactual )
                                        & ( hollywood @ X3 @ mactual )
                                        & ( city @ X3 @ mactual )
                                        & ( event @ X4 @ mactual )
                                        & ( street @ X5 @ mactual )
                                        & ( way @ X5 @ mactual )
                                        & ( lonely @ X5 @ mactual )
                                        & ( chevy @ Y0 @ mactual )
                                        & ( car @ Y0 @ mactual )
                                        & ( white @ Y0 @ mactual )
                                        & ( dirty @ Y0 @ mactual )
                                        & ( old @ Y0 @ mactual )
                                        & ( barrel @ X4 @ Y0 @ mactual )
                                        & ( down @ X4 @ X5 @ mactual )
                                        & ( in @ X4 @ X3 @ mactual )
                                        & ~ ( qmltpeq @ Y1 @ Y2 @ mactual )
                                        & ( fellow @ Y1 @ mactual )
                                        & ( man @ Y1 @ mactual )
                                        & ( young @ Y1 @ mactual )
                                        & ( fellow @ Y2 @ mactual )
                                        & ( man @ Y2 @ mactual )
                                        & ( young @ Y2 @ mactual )
                                        & ( qmltpeq @ Y1 @ Y3 @ mactual )
                                        & ( in @ Y3 @ X1 @ mactual )
                                        & ( qmltpeq @ Y2 @ Y4 @ mactual )
                                        & ( in @ Y4 @ X2 @ mactual ) ) ) ) ) ) ) ) ) )
            @ X6 )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(pi_proxy_clausification,[],[f287]) ).

thf(f293,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X6: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( ( eiw_di @ X6 @ mactual )
            & ( ?? @ $i
              @ ^ [Y0: $i] :
                  ( ( eiw_di @ Y0 @ mactual )
                  & ( ?? @ $i
                    @ ^ [Y1: $i] :
                        ( ( eiw_di @ Y1 @ mactual )
                        & ( ?? @ $i
                          @ ^ [Y2: $i] :
                              ( ( eiw_di @ Y2 @ mactual )
                              & ( ?? @ $i
                                @ ^ [Y3: $i] :
                                    ( ( eiw_di @ Y3 @ mactual )
                                    & ( seat @ X1 @ mactual )
                                    & ( furniture @ X1 @ mactual )
                                    & ( front @ X1 @ mactual )
                                    & ( seat @ X2 @ mactual )
                                    & ( furniture @ X2 @ mactual )
                                    & ( front @ X2 @ mactual )
                                    & ( hollywood @ X3 @ mactual )
                                    & ( city @ X3 @ mactual )
                                    & ( event @ X4 @ mactual )
                                    & ( street @ X5 @ mactual )
                                    & ( way @ X5 @ mactual )
                                    & ( lonely @ X5 @ mactual )
                                    & ( chevy @ X6 @ mactual )
                                    & ( car @ X6 @ mactual )
                                    & ( white @ X6 @ mactual )
                                    & ( dirty @ X6 @ mactual )
                                    & ( old @ X6 @ mactual )
                                    & ( barrel @ X4 @ X6 @ mactual )
                                    & ( down @ X4 @ X5 @ mactual )
                                    & ( in @ X4 @ X3 @ mactual )
                                    & ~ ( qmltpeq @ Y0 @ Y1 @ mactual )
                                    & ( fellow @ Y0 @ mactual )
                                    & ( man @ Y0 @ mactual )
                                    & ( young @ Y0 @ mactual )
                                    & ( fellow @ Y1 @ mactual )
                                    & ( man @ Y1 @ mactual )
                                    & ( young @ Y1 @ mactual )
                                    & ( qmltpeq @ Y0 @ Y2 @ mactual )
                                    & ( in @ Y2 @ X1 @ mactual )
                                    & ( qmltpeq @ Y1 @ Y3 @ mactual )
                                    & ( in @ Y3 @ X2 @ mactual ) ) ) ) ) ) ) ) ) )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(beta-eta_normalization,[],[f290]) ).

thf(f294,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X6: $i,X4: $i,X5: $i] :
        ( ( ( ?? @ $i
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ mactual )
                & ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ mactual )
                      & ( ?? @ $i
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ mactual )
                            & ( ?? @ $i
                              @ ^ [Y3: $i] :
                                  ( ( eiw_di @ Y3 @ mactual )
                                  & ( seat @ X1 @ mactual )
                                  & ( furniture @ X1 @ mactual )
                                  & ( front @ X1 @ mactual )
                                  & ( seat @ X2 @ mactual )
                                  & ( furniture @ X2 @ mactual )
                                  & ( front @ X2 @ mactual )
                                  & ( hollywood @ X3 @ mactual )
                                  & ( city @ X3 @ mactual )
                                  & ( event @ X4 @ mactual )
                                  & ( street @ X5 @ mactual )
                                  & ( way @ X5 @ mactual )
                                  & ( lonely @ X5 @ mactual )
                                  & ( chevy @ X6 @ mactual )
                                  & ( car @ X6 @ mactual )
                                  & ( white @ X6 @ mactual )
                                  & ( dirty @ X6 @ mactual )
                                  & ( old @ X6 @ mactual )
                                  & ( barrel @ X4 @ X6 @ mactual )
                                  & ( down @ X4 @ X5 @ mactual )
                                  & ( in @ X4 @ X3 @ mactual )
                                  & ~ ( qmltpeq @ Y0 @ Y1 @ mactual )
                                  & ( fellow @ Y0 @ mactual )
                                  & ( man @ Y0 @ mactual )
                                  & ( young @ Y0 @ mactual )
                                  & ( fellow @ Y1 @ mactual )
                                  & ( man @ Y1 @ mactual )
                                  & ( young @ Y1 @ mactual )
                                  & ( qmltpeq @ Y0 @ Y2 @ mactual )
                                  & ( in @ Y2 @ X1 @ mactual )
                                  & ( qmltpeq @ Y1 @ Y3 @ mactual )
                                  & ( in @ Y3 @ X2 @ mactual ) ) ) ) ) ) ) ) )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f293]) ).

thf(f295,plain,
    ( ( ( ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ mactual )
                        & ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ mactual )
                              & ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( eiw_di @ Y4 @ mactual )
                                    & ( ?? @ $i
                                      @ ^ [Y5: $i] :
                                          ( ( eiw_di @ Y5 @ mactual )
                                          & ( seat @ sK1 @ mactual )
                                          & ( furniture @ sK1 @ mactual )
                                          & ( front @ sK1 @ mactual )
                                          & ( seat @ sK2 @ mactual )
                                          & ( furniture @ sK2 @ mactual )
                                          & ( front @ sK2 @ mactual )
                                          & ( hollywood @ sK3 @ mactual )
                                          & ( city @ sK3 @ mactual )
                                          & ( event @ sK4 @ mactual )
                                          & ( chevy @ Y0 @ mactual )
                                          & ( car @ Y0 @ mactual )
                                          & ( white @ Y0 @ mactual )
                                          & ( dirty @ Y0 @ mactual )
                                          & ( old @ Y0 @ mactual )
                                          & ( street @ Y1 @ mactual )
                                          & ( way @ Y1 @ mactual )
                                          & ( lonely @ Y1 @ mactual )
                                          & ( barrel @ sK4 @ Y0 @ mactual )
                                          & ( down @ sK4 @ Y1 @ mactual )
                                          & ( in @ sK4 @ sK3 @ mactual )
                                          & ~ ( qmltpeq @ Y2 @ Y3 @ mactual )
                                          & ( fellow @ Y2 @ mactual )
                                          & ( man @ Y2 @ mactual )
                                          & ( young @ Y2 @ mactual )
                                          & ( fellow @ Y3 @ mactual )
                                          & ( man @ Y3 @ mactual )
                                          & ( young @ Y3 @ mactual )
                                          & ( qmltpeq @ Y2 @ Y4 @ mactual )
                                          & ( in @ Y4 @ sK1 @ mactual )
                                          & ( qmltpeq @ Y3 @ Y5 @ mactual )
                                          & ( in @ Y5 @ sK2 @ mactual ) ) ) ) ) ) ) ) ) ) ) )
        @ sK5 )
      = $true )
    | ~ spl0_1 ),
    inference(sigma_proxy_clausification,[],[f281]) ).

thf(f298,plain,
    ( ( ( ( eiw_di @ sK5 @ mactual )
        & ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ?? @ $i
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( ?? @ $i
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ mactual )
                                      & ( seat @ sK1 @ mactual )
                                      & ( furniture @ sK1 @ mactual )
                                      & ( front @ sK1 @ mactual )
                                      & ( seat @ sK2 @ mactual )
                                      & ( furniture @ sK2 @ mactual )
                                      & ( front @ sK2 @ mactual )
                                      & ( hollywood @ sK3 @ mactual )
                                      & ( city @ sK3 @ mactual )
                                      & ( event @ sK4 @ mactual )
                                      & ( chevy @ sK5 @ mactual )
                                      & ( car @ sK5 @ mactual )
                                      & ( white @ sK5 @ mactual )
                                      & ( dirty @ sK5 @ mactual )
                                      & ( old @ sK5 @ mactual )
                                      & ( street @ Y0 @ mactual )
                                      & ( way @ Y0 @ mactual )
                                      & ( lonely @ Y0 @ mactual )
                                      & ( barrel @ sK4 @ sK5 @ mactual )
                                      & ( down @ sK4 @ Y0 @ mactual )
                                      & ( in @ sK4 @ sK3 @ mactual )
                                      & ~ ( qmltpeq @ Y1 @ Y2 @ mactual )
                                      & ( fellow @ Y1 @ mactual )
                                      & ( man @ Y1 @ mactual )
                                      & ( young @ Y1 @ mactual )
                                      & ( fellow @ Y2 @ mactual )
                                      & ( man @ Y2 @ mactual )
                                      & ( young @ Y2 @ mactual )
                                      & ( qmltpeq @ Y1 @ Y3 @ mactual )
                                      & ( in @ Y3 @ sK1 @ mactual )
                                      & ( qmltpeq @ Y2 @ Y4 @ mactual )
                                      & ( in @ Y4 @ sK2 @ mactual ) ) ) ) ) ) ) ) ) ) ) )
      = $true )
    | ~ spl0_1 ),
    inference(beta-eta_normalization,[],[f295]) ).

thf(f299,plain,
    ( ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ mactual )
                        & ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ mactual )
                              & ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( eiw_di @ Y4 @ mactual )
                                    & ( seat @ sK1 @ mactual )
                                    & ( furniture @ sK1 @ mactual )
                                    & ( front @ sK1 @ mactual )
                                    & ( seat @ sK2 @ mactual )
                                    & ( furniture @ sK2 @ mactual )
                                    & ( front @ sK2 @ mactual )
                                    & ( hollywood @ sK3 @ mactual )
                                    & ( city @ sK3 @ mactual )
                                    & ( event @ sK4 @ mactual )
                                    & ( chevy @ sK5 @ mactual )
                                    & ( car @ sK5 @ mactual )
                                    & ( white @ sK5 @ mactual )
                                    & ( dirty @ sK5 @ mactual )
                                    & ( old @ sK5 @ mactual )
                                    & ( street @ Y0 @ mactual )
                                    & ( way @ Y0 @ mactual )
                                    & ( lonely @ Y0 @ mactual )
                                    & ( barrel @ sK4 @ sK5 @ mactual )
                                    & ( down @ sK4 @ Y0 @ mactual )
                                    & ( in @ sK4 @ sK3 @ mactual )
                                    & ~ ( qmltpeq @ Y1 @ Y2 @ mactual )
                                    & ( fellow @ Y1 @ mactual )
                                    & ( man @ Y1 @ mactual )
                                    & ( young @ Y1 @ mactual )
                                    & ( fellow @ Y2 @ mactual )
                                    & ( man @ Y2 @ mactual )
                                    & ( young @ Y2 @ mactual )
                                    & ( qmltpeq @ Y1 @ Y3 @ mactual )
                                    & ( in @ Y3 @ sK1 @ mactual )
                                    & ( qmltpeq @ Y2 @ Y4 @ mactual )
                                    & ( in @ Y4 @ sK2 @ mactual ) ) ) ) ) ) ) ) ) ) )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f298]) ).

thf(f300,plain,
    ( ( ( eiw_di @ sK5 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f298]) ).

thf(f301,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ mactual )
                & ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ mactual )
                      & ( ?? @ $i
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ mactual )
                            & ( ?? @ $i
                              @ ^ [Y3: $i] :
                                  ( ( eiw_di @ Y3 @ mactual )
                                  & ( seat @ X1 @ mactual )
                                  & ( furniture @ X1 @ mactual )
                                  & ( front @ X1 @ mactual )
                                  & ( seat @ X2 @ mactual )
                                  & ( furniture @ X2 @ mactual )
                                  & ( front @ X2 @ mactual )
                                  & ( hollywood @ X3 @ mactual )
                                  & ( city @ X3 @ mactual )
                                  & ( event @ X4 @ mactual )
                                  & ( street @ X5 @ mactual )
                                  & ( way @ X5 @ mactual )
                                  & ( lonely @ X5 @ mactual )
                                  & ( chevy @ X6 @ mactual )
                                  & ( car @ X6 @ mactual )
                                  & ( white @ X6 @ mactual )
                                  & ( dirty @ X6 @ mactual )
                                  & ( old @ X6 @ mactual )
                                  & ( barrel @ X4 @ X6 @ mactual )
                                  & ( down @ X4 @ X5 @ mactual )
                                  & ( in @ X4 @ X3 @ mactual )
                                  & ~ ( qmltpeq @ Y0 @ Y1 @ mactual )
                                  & ( fellow @ Y0 @ mactual )
                                  & ( man @ Y0 @ mactual )
                                  & ( young @ Y0 @ mactual )
                                  & ( fellow @ Y1 @ mactual )
                                  & ( man @ Y1 @ mactual )
                                  & ( young @ Y1 @ mactual )
                                  & ( qmltpeq @ Y0 @ Y2 @ mactual )
                                  & ( in @ Y2 @ X1 @ mactual )
                                  & ( qmltpeq @ Y1 @ Y3 @ mactual )
                                  & ( in @ Y3 @ X2 @ mactual ) ) ) ) ) ) ) )
            @ X7 )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(pi_proxy_clausification,[],[f294]) ).

thf(f304,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( ( eiw_di @ X7 @ mactual )
            & ( ?? @ $i
              @ ^ [Y0: $i] :
                  ( ( eiw_di @ Y0 @ mactual )
                  & ( ?? @ $i
                    @ ^ [Y1: $i] :
                        ( ( eiw_di @ Y1 @ mactual )
                        & ( ?? @ $i
                          @ ^ [Y2: $i] :
                              ( ( eiw_di @ Y2 @ mactual )
                              & ( seat @ X1 @ mactual )
                              & ( furniture @ X1 @ mactual )
                              & ( front @ X1 @ mactual )
                              & ( seat @ X2 @ mactual )
                              & ( furniture @ X2 @ mactual )
                              & ( front @ X2 @ mactual )
                              & ( hollywood @ X3 @ mactual )
                              & ( city @ X3 @ mactual )
                              & ( event @ X4 @ mactual )
                              & ( street @ X5 @ mactual )
                              & ( way @ X5 @ mactual )
                              & ( lonely @ X5 @ mactual )
                              & ( chevy @ X6 @ mactual )
                              & ( car @ X6 @ mactual )
                              & ( white @ X6 @ mactual )
                              & ( dirty @ X6 @ mactual )
                              & ( old @ X6 @ mactual )
                              & ( barrel @ X4 @ X6 @ mactual )
                              & ( down @ X4 @ X5 @ mactual )
                              & ( in @ X4 @ X3 @ mactual )
                              & ~ ( qmltpeq @ X7 @ Y0 @ mactual )
                              & ( fellow @ X7 @ mactual )
                              & ( man @ X7 @ mactual )
                              & ( young @ X7 @ mactual )
                              & ( fellow @ Y0 @ mactual )
                              & ( man @ Y0 @ mactual )
                              & ( young @ Y0 @ mactual )
                              & ( qmltpeq @ X7 @ Y1 @ mactual )
                              & ( in @ Y1 @ X1 @ mactual )
                              & ( qmltpeq @ Y0 @ Y2 @ mactual )
                              & ( in @ Y2 @ X2 @ mactual ) ) ) ) ) ) ) )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(beta-eta_normalization,[],[f301]) ).

thf(f305,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( ?? @ $i
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ mactual )
                & ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ mactual )
                      & ( ?? @ $i
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ mactual )
                            & ( seat @ X1 @ mactual )
                            & ( furniture @ X1 @ mactual )
                            & ( front @ X1 @ mactual )
                            & ( seat @ X2 @ mactual )
                            & ( furniture @ X2 @ mactual )
                            & ( front @ X2 @ mactual )
                            & ( hollywood @ X3 @ mactual )
                            & ( city @ X3 @ mactual )
                            & ( event @ X4 @ mactual )
                            & ( street @ X5 @ mactual )
                            & ( way @ X5 @ mactual )
                            & ( lonely @ X5 @ mactual )
                            & ( chevy @ X6 @ mactual )
                            & ( car @ X6 @ mactual )
                            & ( white @ X6 @ mactual )
                            & ( dirty @ X6 @ mactual )
                            & ( old @ X6 @ mactual )
                            & ( barrel @ X4 @ X6 @ mactual )
                            & ( down @ X4 @ X5 @ mactual )
                            & ( in @ X4 @ X3 @ mactual )
                            & ~ ( qmltpeq @ X7 @ Y0 @ mactual )
                            & ( fellow @ X7 @ mactual )
                            & ( man @ X7 @ mactual )
                            & ( young @ X7 @ mactual )
                            & ( fellow @ Y0 @ mactual )
                            & ( man @ Y0 @ mactual )
                            & ( young @ Y0 @ mactual )
                            & ( qmltpeq @ X7 @ Y1 @ mactual )
                            & ( in @ Y1 @ X1 @ mactual )
                            & ( qmltpeq @ Y0 @ Y2 @ mactual )
                            & ( in @ Y2 @ X2 @ mactual ) ) ) ) ) ) )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f304]) ).

thf(f308,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ mactual )
                & ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ mactual )
                      & ( ?? @ $i
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ mactual )
                            & ( seat @ X1 @ mactual )
                            & ( furniture @ X1 @ mactual )
                            & ( front @ X1 @ mactual )
                            & ( seat @ X2 @ mactual )
                            & ( furniture @ X2 @ mactual )
                            & ( front @ X2 @ mactual )
                            & ( hollywood @ X3 @ mactual )
                            & ( city @ X3 @ mactual )
                            & ( event @ X4 @ mactual )
                            & ( street @ X5 @ mactual )
                            & ( way @ X5 @ mactual )
                            & ( lonely @ X5 @ mactual )
                            & ( chevy @ X6 @ mactual )
                            & ( car @ X6 @ mactual )
                            & ( white @ X6 @ mactual )
                            & ( dirty @ X6 @ mactual )
                            & ( old @ X6 @ mactual )
                            & ( barrel @ X4 @ X6 @ mactual )
                            & ( down @ X4 @ X5 @ mactual )
                            & ( in @ X4 @ X3 @ mactual )
                            & ~ ( qmltpeq @ X7 @ Y0 @ mactual )
                            & ( fellow @ X7 @ mactual )
                            & ( man @ X7 @ mactual )
                            & ( young @ X7 @ mactual )
                            & ( fellow @ Y0 @ mactual )
                            & ( man @ Y0 @ mactual )
                            & ( young @ Y0 @ mactual )
                            & ( qmltpeq @ X7 @ Y1 @ mactual )
                            & ( in @ Y1 @ X1 @ mactual )
                            & ( qmltpeq @ Y0 @ Y2 @ mactual )
                            & ( in @ Y2 @ X2 @ mactual ) ) ) ) ) )
            @ X8 ) ) )
    | ~ spl0_1 ),
    inference(pi_proxy_clausification,[],[f305]) ).

thf(f311,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( ( eiw_di @ X8 @ mactual )
            & ( ?? @ $i
              @ ^ [Y0: $i] :
                  ( ( eiw_di @ Y0 @ mactual )
                  & ( ?? @ $i
                    @ ^ [Y1: $i] :
                        ( ( eiw_di @ Y1 @ mactual )
                        & ( seat @ X1 @ mactual )
                        & ( furniture @ X1 @ mactual )
                        & ( front @ X1 @ mactual )
                        & ( seat @ X2 @ mactual )
                        & ( furniture @ X2 @ mactual )
                        & ( front @ X2 @ mactual )
                        & ( hollywood @ X3 @ mactual )
                        & ( city @ X3 @ mactual )
                        & ( event @ X4 @ mactual )
                        & ( street @ X5 @ mactual )
                        & ( way @ X5 @ mactual )
                        & ( lonely @ X5 @ mactual )
                        & ( chevy @ X6 @ mactual )
                        & ( car @ X6 @ mactual )
                        & ( white @ X6 @ mactual )
                        & ( dirty @ X6 @ mactual )
                        & ( old @ X6 @ mactual )
                        & ( barrel @ X4 @ X6 @ mactual )
                        & ( down @ X4 @ X5 @ mactual )
                        & ( in @ X4 @ X3 @ mactual )
                        & ~ ( qmltpeq @ X7 @ X8 @ mactual )
                        & ( fellow @ X7 @ mactual )
                        & ( man @ X7 @ mactual )
                        & ( young @ X7 @ mactual )
                        & ( fellow @ X8 @ mactual )
                        & ( man @ X8 @ mactual )
                        & ( young @ X8 @ mactual )
                        & ( qmltpeq @ X7 @ Y0 @ mactual )
                        & ( in @ Y0 @ X1 @ mactual )
                        & ( qmltpeq @ X8 @ Y1 @ mactual )
                        & ( in @ Y1 @ X2 @ mactual ) ) ) ) ) )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( ( eiw_di @ X5 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(beta-eta_normalization,[],[f308]) ).

thf(f312,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( ?? @ $i
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ mactual )
                & ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ mactual )
                      & ( seat @ X1 @ mactual )
                      & ( furniture @ X1 @ mactual )
                      & ( front @ X1 @ mactual )
                      & ( seat @ X2 @ mactual )
                      & ( furniture @ X2 @ mactual )
                      & ( front @ X2 @ mactual )
                      & ( hollywood @ X3 @ mactual )
                      & ( city @ X3 @ mactual )
                      & ( event @ X4 @ mactual )
                      & ( street @ X5 @ mactual )
                      & ( way @ X5 @ mactual )
                      & ( lonely @ X5 @ mactual )
                      & ( chevy @ X6 @ mactual )
                      & ( car @ X6 @ mactual )
                      & ( white @ X6 @ mactual )
                      & ( dirty @ X6 @ mactual )
                      & ( old @ X6 @ mactual )
                      & ( barrel @ X4 @ X6 @ mactual )
                      & ( down @ X4 @ X5 @ mactual )
                      & ( in @ X4 @ X3 @ mactual )
                      & ~ ( qmltpeq @ X7 @ X8 @ mactual )
                      & ( fellow @ X7 @ mactual )
                      & ( man @ X7 @ mactual )
                      & ( young @ X7 @ mactual )
                      & ( fellow @ X8 @ mactual )
                      & ( man @ X8 @ mactual )
                      & ( young @ X8 @ mactual )
                      & ( qmltpeq @ X7 @ Y0 @ mactual )
                      & ( in @ Y0 @ X1 @ mactual )
                      & ( qmltpeq @ X8 @ Y1 @ mactual )
                      & ( in @ Y1 @ X2 @ mactual ) ) ) ) )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f311]) ).

thf(f313,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ mactual )
                & ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ mactual )
                      & ( seat @ X1 @ mactual )
                      & ( furniture @ X1 @ mactual )
                      & ( front @ X1 @ mactual )
                      & ( seat @ X2 @ mactual )
                      & ( furniture @ X2 @ mactual )
                      & ( front @ X2 @ mactual )
                      & ( hollywood @ X3 @ mactual )
                      & ( city @ X3 @ mactual )
                      & ( event @ X4 @ mactual )
                      & ( street @ X5 @ mactual )
                      & ( way @ X5 @ mactual )
                      & ( lonely @ X5 @ mactual )
                      & ( chevy @ X6 @ mactual )
                      & ( car @ X6 @ mactual )
                      & ( white @ X6 @ mactual )
                      & ( dirty @ X6 @ mactual )
                      & ( old @ X6 @ mactual )
                      & ( barrel @ X4 @ X6 @ mactual )
                      & ( down @ X4 @ X5 @ mactual )
                      & ( in @ X4 @ X3 @ mactual )
                      & ~ ( qmltpeq @ X7 @ X8 @ mactual )
                      & ( fellow @ X7 @ mactual )
                      & ( man @ X7 @ mactual )
                      & ( young @ X7 @ mactual )
                      & ( fellow @ X8 @ mactual )
                      & ( man @ X8 @ mactual )
                      & ( young @ X8 @ mactual )
                      & ( qmltpeq @ X7 @ Y0 @ mactual )
                      & ( in @ Y0 @ X1 @ mactual )
                      & ( qmltpeq @ X8 @ Y1 @ mactual )
                      & ( in @ Y1 @ X2 @ mactual ) ) ) )
            @ X9 ) )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(pi_proxy_clausification,[],[f312]) ).

thf(f316,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( $false
          = ( ( eiw_di @ X9 @ mactual )
            & ( ?? @ $i
              @ ^ [Y0: $i] :
                  ( ( eiw_di @ Y0 @ mactual )
                  & ( seat @ X1 @ mactual )
                  & ( furniture @ X1 @ mactual )
                  & ( front @ X1 @ mactual )
                  & ( seat @ X2 @ mactual )
                  & ( furniture @ X2 @ mactual )
                  & ( front @ X2 @ mactual )
                  & ( hollywood @ X3 @ mactual )
                  & ( city @ X3 @ mactual )
                  & ( event @ X4 @ mactual )
                  & ( street @ X5 @ mactual )
                  & ( way @ X5 @ mactual )
                  & ( lonely @ X5 @ mactual )
                  & ( chevy @ X6 @ mactual )
                  & ( car @ X6 @ mactual )
                  & ( white @ X6 @ mactual )
                  & ( dirty @ X6 @ mactual )
                  & ( old @ X6 @ mactual )
                  & ( barrel @ X4 @ X6 @ mactual )
                  & ( down @ X4 @ X5 @ mactual )
                  & ( in @ X4 @ X3 @ mactual )
                  & ~ ( qmltpeq @ X7 @ X8 @ mactual )
                  & ( fellow @ X7 @ mactual )
                  & ( man @ X7 @ mactual )
                  & ( young @ X7 @ mactual )
                  & ( fellow @ X8 @ mactual )
                  & ( man @ X8 @ mactual )
                  & ( young @ X8 @ mactual )
                  & ( qmltpeq @ X7 @ X9 @ mactual )
                  & ( in @ X9 @ X1 @ mactual )
                  & ( qmltpeq @ X8 @ Y0 @ mactual )
                  & ( in @ Y0 @ X2 @ mactual ) ) ) ) ) )
    | ~ spl0_1 ),
    inference(beta-eta_normalization,[],[f313]) ).

thf(f317,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( ?? @ $i
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ mactual )
                & ( seat @ X1 @ mactual )
                & ( furniture @ X1 @ mactual )
                & ( front @ X1 @ mactual )
                & ( seat @ X2 @ mactual )
                & ( furniture @ X2 @ mactual )
                & ( front @ X2 @ mactual )
                & ( hollywood @ X3 @ mactual )
                & ( city @ X3 @ mactual )
                & ( event @ X4 @ mactual )
                & ( street @ X5 @ mactual )
                & ( way @ X5 @ mactual )
                & ( lonely @ X5 @ mactual )
                & ( chevy @ X6 @ mactual )
                & ( car @ X6 @ mactual )
                & ( white @ X6 @ mactual )
                & ( dirty @ X6 @ mactual )
                & ( old @ X6 @ mactual )
                & ( barrel @ X4 @ X6 @ mactual )
                & ( down @ X4 @ X5 @ mactual )
                & ( in @ X4 @ X3 @ mactual )
                & ~ ( qmltpeq @ X7 @ X8 @ mactual )
                & ( fellow @ X7 @ mactual )
                & ( man @ X7 @ mactual )
                & ( young @ X7 @ mactual )
                & ( fellow @ X8 @ mactual )
                & ( man @ X8 @ mactual )
                & ( young @ X8 @ mactual )
                & ( qmltpeq @ X7 @ X9 @ mactual )
                & ( in @ X9 @ X1 @ mactual )
                & ( qmltpeq @ X8 @ Y0 @ mactual )
                & ( in @ Y0 @ X2 @ mactual ) ) )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f316]) ).

thf(f318,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( $false
          = ( ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ mactual )
                & ( seat @ X1 @ mactual )
                & ( furniture @ X1 @ mactual )
                & ( front @ X1 @ mactual )
                & ( seat @ X2 @ mactual )
                & ( furniture @ X2 @ mactual )
                & ( front @ X2 @ mactual )
                & ( hollywood @ X3 @ mactual )
                & ( city @ X3 @ mactual )
                & ( event @ X4 @ mactual )
                & ( street @ X5 @ mactual )
                & ( way @ X5 @ mactual )
                & ( lonely @ X5 @ mactual )
                & ( chevy @ X6 @ mactual )
                & ( car @ X6 @ mactual )
                & ( white @ X6 @ mactual )
                & ( dirty @ X6 @ mactual )
                & ( old @ X6 @ mactual )
                & ( barrel @ X4 @ X6 @ mactual )
                & ( down @ X4 @ X5 @ mactual )
                & ( in @ X4 @ X3 @ mactual )
                & ~ ( qmltpeq @ X7 @ X8 @ mactual )
                & ( fellow @ X7 @ mactual )
                & ( man @ X7 @ mactual )
                & ( young @ X7 @ mactual )
                & ( fellow @ X8 @ mactual )
                & ( man @ X8 @ mactual )
                & ( young @ X8 @ mactual )
                & ( qmltpeq @ X7 @ X9 @ mactual )
                & ( in @ X9 @ X1 @ mactual )
                & ( qmltpeq @ X8 @ Y0 @ mactual )
                & ( in @ Y0 @ X2 @ mactual ) )
            @ X10 ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(pi_proxy_clausification,[],[f317]) ).

thf(f320,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( ( eiw_di @ X10 @ mactual )
            & ( seat @ X1 @ mactual )
            & ( furniture @ X1 @ mactual )
            & ( front @ X1 @ mactual )
            & ( seat @ X2 @ mactual )
            & ( furniture @ X2 @ mactual )
            & ( front @ X2 @ mactual )
            & ( hollywood @ X3 @ mactual )
            & ( city @ X3 @ mactual )
            & ( event @ X4 @ mactual )
            & ( street @ X5 @ mactual )
            & ( way @ X5 @ mactual )
            & ( lonely @ X5 @ mactual )
            & ( chevy @ X6 @ mactual )
            & ( car @ X6 @ mactual )
            & ( white @ X6 @ mactual )
            & ( dirty @ X6 @ mactual )
            & ( old @ X6 @ mactual )
            & ( barrel @ X4 @ X6 @ mactual )
            & ( down @ X4 @ X5 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( young @ X7 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( young @ X8 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X10 @ X2 @ mactual ) )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(beta-eta_normalization,[],[f318]) ).

thf(f322,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( ( seat @ X1 @ mactual )
            & ( furniture @ X1 @ mactual )
            & ( front @ X1 @ mactual )
            & ( seat @ X2 @ mactual )
            & ( furniture @ X2 @ mactual )
            & ( front @ X2 @ mactual )
            & ( hollywood @ X3 @ mactual )
            & ( city @ X3 @ mactual )
            & ( event @ X4 @ mactual )
            & ( street @ X5 @ mactual )
            & ( way @ X5 @ mactual )
            & ( lonely @ X5 @ mactual )
            & ( chevy @ X6 @ mactual )
            & ( car @ X6 @ mactual )
            & ( white @ X6 @ mactual )
            & ( dirty @ X6 @ mactual )
            & ( old @ X6 @ mactual )
            & ( barrel @ X4 @ X6 @ mactual )
            & ( down @ X4 @ X5 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( young @ X7 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( young @ X8 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X10 @ X2 @ mactual ) )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f320]) ).

thf(f323,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( ( ( furniture @ X1 @ mactual )
            & ( front @ X1 @ mactual )
            & ( seat @ X2 @ mactual )
            & ( furniture @ X2 @ mactual )
            & ( front @ X2 @ mactual )
            & ( hollywood @ X3 @ mactual )
            & ( city @ X3 @ mactual )
            & ( event @ X4 @ mactual )
            & ( street @ X5 @ mactual )
            & ( way @ X5 @ mactual )
            & ( lonely @ X5 @ mactual )
            & ( chevy @ X6 @ mactual )
            & ( car @ X6 @ mactual )
            & ( white @ X6 @ mactual )
            & ( dirty @ X6 @ mactual )
            & ( old @ X6 @ mactual )
            & ( barrel @ X4 @ X6 @ mactual )
            & ( down @ X4 @ X5 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( young @ X7 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( young @ X8 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X10 @ X2 @ mactual ) )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f322]) ).

thf(f324,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( furniture @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( ( front @ X1 @ mactual )
            & ( seat @ X2 @ mactual )
            & ( furniture @ X2 @ mactual )
            & ( front @ X2 @ mactual )
            & ( hollywood @ X3 @ mactual )
            & ( city @ X3 @ mactual )
            & ( event @ X4 @ mactual )
            & ( street @ X5 @ mactual )
            & ( way @ X5 @ mactual )
            & ( lonely @ X5 @ mactual )
            & ( chevy @ X6 @ mactual )
            & ( car @ X6 @ mactual )
            & ( white @ X6 @ mactual )
            & ( dirty @ X6 @ mactual )
            & ( old @ X6 @ mactual )
            & ( barrel @ X4 @ X6 @ mactual )
            & ( down @ X4 @ X5 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( young @ X7 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( young @ X8 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X10 @ X2 @ mactual ) )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f323]) ).

thf(f325,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( ( seat @ X2 @ mactual )
            & ( furniture @ X2 @ mactual )
            & ( front @ X2 @ mactual )
            & ( hollywood @ X3 @ mactual )
            & ( city @ X3 @ mactual )
            & ( event @ X4 @ mactual )
            & ( street @ X5 @ mactual )
            & ( way @ X5 @ mactual )
            & ( lonely @ X5 @ mactual )
            & ( chevy @ X6 @ mactual )
            & ( car @ X6 @ mactual )
            & ( white @ X6 @ mactual )
            & ( dirty @ X6 @ mactual )
            & ( old @ X6 @ mactual )
            & ( barrel @ X4 @ X6 @ mactual )
            & ( down @ X4 @ X5 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( young @ X7 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( young @ X8 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X10 @ X2 @ mactual ) ) )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f324]) ).

thf(f326,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( seat @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( ( furniture @ X2 @ mactual )
            & ( front @ X2 @ mactual )
            & ( hollywood @ X3 @ mactual )
            & ( city @ X3 @ mactual )
            & ( event @ X4 @ mactual )
            & ( street @ X5 @ mactual )
            & ( way @ X5 @ mactual )
            & ( lonely @ X5 @ mactual )
            & ( chevy @ X6 @ mactual )
            & ( car @ X6 @ mactual )
            & ( white @ X6 @ mactual )
            & ( dirty @ X6 @ mactual )
            & ( old @ X6 @ mactual )
            & ( barrel @ X4 @ X6 @ mactual )
            & ( down @ X4 @ X5 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( young @ X7 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( young @ X8 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X10 @ X2 @ mactual ) )
          = $false )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f325]) ).

thf(f327,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( furniture @ X1 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( ( front @ X2 @ mactual )
            & ( hollywood @ X3 @ mactual )
            & ( city @ X3 @ mactual )
            & ( event @ X4 @ mactual )
            & ( street @ X5 @ mactual )
            & ( way @ X5 @ mactual )
            & ( lonely @ X5 @ mactual )
            & ( chevy @ X6 @ mactual )
            & ( car @ X6 @ mactual )
            & ( white @ X6 @ mactual )
            & ( dirty @ X6 @ mactual )
            & ( old @ X6 @ mactual )
            & ( barrel @ X4 @ X6 @ mactual )
            & ( down @ X4 @ X5 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( young @ X7 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( young @ X8 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X10 @ X2 @ mactual ) )
          = $false ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f326]) ).

thf(f328,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( $false
          = ( ( hollywood @ X3 @ mactual )
            & ( city @ X3 @ mactual )
            & ( event @ X4 @ mactual )
            & ( street @ X5 @ mactual )
            & ( way @ X5 @ mactual )
            & ( lonely @ X5 @ mactual )
            & ( chevy @ X6 @ mactual )
            & ( car @ X6 @ mactual )
            & ( white @ X6 @ mactual )
            & ( dirty @ X6 @ mactual )
            & ( old @ X6 @ mactual )
            & ( barrel @ X4 @ X6 @ mactual )
            & ( down @ X4 @ X5 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( young @ X7 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( young @ X8 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X10 @ X2 @ mactual ) ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f327]) ).

thf(f329,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( front @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( ( ( city @ X3 @ mactual )
            & ( event @ X4 @ mactual )
            & ( street @ X5 @ mactual )
            & ( way @ X5 @ mactual )
            & ( lonely @ X5 @ mactual )
            & ( chevy @ X6 @ mactual )
            & ( car @ X6 @ mactual )
            & ( white @ X6 @ mactual )
            & ( dirty @ X6 @ mactual )
            & ( old @ X6 @ mactual )
            & ( barrel @ X4 @ X6 @ mactual )
            & ( down @ X4 @ X5 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( young @ X7 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( young @ X8 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X10 @ X2 @ mactual ) )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( hollywood @ X3 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X2 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f328]) ).

thf(f330,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( hollywood @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( ( event @ X4 @ mactual )
            & ( street @ X5 @ mactual )
            & ( way @ X5 @ mactual )
            & ( lonely @ X5 @ mactual )
            & ( chevy @ X6 @ mactual )
            & ( car @ X6 @ mactual )
            & ( white @ X6 @ mactual )
            & ( dirty @ X6 @ mactual )
            & ( old @ X6 @ mactual )
            & ( barrel @ X4 @ X6 @ mactual )
            & ( down @ X4 @ X5 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( young @ X7 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( young @ X8 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X10 @ X2 @ mactual ) )
          = $false )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f329]) ).

thf(f331,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( hollywood @ X3 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( ( street @ X5 @ mactual )
            & ( way @ X5 @ mactual )
            & ( lonely @ X5 @ mactual )
            & ( chevy @ X6 @ mactual )
            & ( car @ X6 @ mactual )
            & ( white @ X6 @ mactual )
            & ( dirty @ X6 @ mactual )
            & ( old @ X6 @ mactual )
            & ( barrel @ X4 @ X6 @ mactual )
            & ( down @ X4 @ X5 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( young @ X7 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( young @ X8 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X10 @ X2 @ mactual ) )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f330]) ).

thf(f332,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( ( way @ X5 @ mactual )
            & ( lonely @ X5 @ mactual )
            & ( chevy @ X6 @ mactual )
            & ( car @ X6 @ mactual )
            & ( white @ X6 @ mactual )
            & ( dirty @ X6 @ mactual )
            & ( old @ X6 @ mactual )
            & ( barrel @ X4 @ X6 @ mactual )
            & ( down @ X4 @ X5 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( young @ X7 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( young @ X8 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X10 @ X2 @ mactual ) )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( street @ X5 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( hollywood @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f331]) ).

thf(f333,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( hollywood @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( ( lonely @ X5 @ mactual )
            & ( chevy @ X6 @ mactual )
            & ( car @ X6 @ mactual )
            & ( white @ X6 @ mactual )
            & ( dirty @ X6 @ mactual )
            & ( old @ X6 @ mactual )
            & ( barrel @ X4 @ X6 @ mactual )
            & ( down @ X4 @ X5 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( young @ X7 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( young @ X8 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X10 @ X2 @ mactual ) )
          = $false )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( street @ X5 @ mactual )
          = $false )
        | ( ( way @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f332]) ).

thf(f334,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( street @ X5 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( $false
          = ( lonely @ X5 @ mactual ) )
        | ( ( hollywood @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( way @ X5 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( ( chevy @ X6 @ mactual )
            & ( car @ X6 @ mactual )
            & ( white @ X6 @ mactual )
            & ( dirty @ X6 @ mactual )
            & ( old @ X6 @ mactual )
            & ( barrel @ X4 @ X6 @ mactual )
            & ( down @ X4 @ X5 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( young @ X7 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( young @ X8 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X10 @ X2 @ mactual ) ) )
        | ( ( front @ X1 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f333]) ).

thf(f335,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( street @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( ( car @ X6 @ mactual )
            & ( white @ X6 @ mactual )
            & ( dirty @ X6 @ mactual )
            & ( old @ X6 @ mactual )
            & ( barrel @ X4 @ X6 @ mactual )
            & ( down @ X4 @ X5 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( young @ X7 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( young @ X8 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X10 @ X2 @ mactual ) ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( way @ X5 @ mactual )
          = $false )
        | ( ( hollywood @ X3 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( $false
          = ( lonely @ X5 @ mactual ) )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( chevy @ X6 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f334]) ).

thf(f336,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( $false
          = ( lonely @ X5 @ mactual ) )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( chevy @ X6 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( car @ X6 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( ( white @ X6 @ mactual )
            & ( dirty @ X6 @ mactual )
            & ( old @ X6 @ mactual )
            & ( barrel @ X4 @ X6 @ mactual )
            & ( down @ X4 @ X5 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( young @ X7 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( young @ X8 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X10 @ X2 @ mactual ) )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( way @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( hollywood @ X3 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( street @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f335]) ).

thf(f337,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( ( hollywood @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( $false
          = ( white @ X6 @ mactual ) )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( lonely @ X5 @ mactual ) )
        | ( ( chevy @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( car @ X6 @ mactual )
          = $false )
        | ( ( way @ X5 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( street @ X5 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( ( dirty @ X6 @ mactual )
            & ( old @ X6 @ mactual )
            & ( barrel @ X4 @ X6 @ mactual )
            & ( down @ X4 @ X5 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( young @ X7 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( young @ X8 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X10 @ X2 @ mactual ) )
          = $false ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f336]) ).

thf(f338,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( street @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( $false
          = ( lonely @ X5 @ mactual ) )
        | ( ( ( old @ X6 @ mactual )
            & ( barrel @ X4 @ X6 @ mactual )
            & ( down @ X4 @ X5 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( young @ X7 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( young @ X8 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X10 @ X2 @ mactual ) )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( way @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( hollywood @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( chevy @ X6 @ mactual )
          = $false )
        | ( ( dirty @ X6 @ mactual )
          = $false )
        | ( ( car @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( white @ X6 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f337]) ).

thf(f339,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( way @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( car @ X6 @ mactual )
          = $false )
        | ( ( old @ X6 @ mactual )
          = $false )
        | ( $false
          = ( lonely @ X5 @ mactual ) )
        | ( $false
          = ( white @ X6 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( street @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( chevy @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( hollywood @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( dirty @ X6 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( ( barrel @ X4 @ X6 @ mactual )
            & ( down @ X4 @ X5 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( young @ X7 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( young @ X8 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X10 @ X2 @ mactual ) )
          = $false )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( eiw_di @ X10 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f338]) ).

thf(f340,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( city @ X3 @ mactual )
          = $false )
        | ( ( old @ X6 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( $false
          = ( white @ X6 @ mactual ) )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( hollywood @ X3 @ mactual )
          = $false )
        | ( ( chevy @ X6 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( street @ X5 @ mactual )
          = $false )
        | ( ( ( down @ X4 @ X5 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( young @ X7 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( young @ X8 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X10 @ X2 @ mactual ) )
          = $false )
        | ( $false
          = ( lonely @ X5 @ mactual ) )
        | ( ( way @ X5 @ mactual )
          = $false )
        | ( ( barrel @ X4 @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( car @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( dirty @ X6 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f339]) ).

thf(f341,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( $false
          = ( lonely @ X5 @ mactual ) )
        | ( ( chevy @ X6 @ mactual )
          = $false )
        | ( ( hollywood @ X3 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( barrel @ X4 @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( down @ X4 @ X5 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( old @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( way @ X5 @ mactual )
          = $false )
        | ( ( street @ X5 @ mactual )
          = $false )
        | ( ( car @ X6 @ mactual )
          = $false )
        | ( $false
          = ( white @ X6 @ mactual ) )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( $false
          = ( ( in @ X4 @ X3 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( young @ X7 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( young @ X8 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X10 @ X2 @ mactual ) ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( dirty @ X6 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X2 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f340]) ).

thf(f342,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( lonely @ X5 @ mactual ) )
        | ( ( down @ X4 @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( barrel @ X4 @ X6 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( dirty @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( car @ X6 @ mactual )
          = $false )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( ( hollywood @ X3 @ mactual )
          = $false )
        | ( ( street @ X5 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( old @ X6 @ mactual )
          = $false )
        | ( ( way @ X5 @ mactual )
          = $false )
        | ( $false
          = ( ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( young @ X7 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( young @ X8 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X10 @ X2 @ mactual ) ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( $false
          = ( white @ X6 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( chevy @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f341]) ).

thf(f343,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( seat @ X2 @ mactual ) )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( dirty @ X6 @ mactual )
          = $false )
        | ( $false
          = ( white @ X6 @ mactual ) )
        | ( ( hollywood @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( ~ ( qmltpeq @ X7 @ X8 @ mactual ) )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( down @ X4 @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( way @ X5 @ mactual )
          = $false )
        | ( ( barrel @ X4 @ X6 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( ( fellow @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( young @ X7 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( young @ X8 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X10 @ X2 @ mactual ) )
          = $false )
        | ( ( car @ X6 @ mactual )
          = $false )
        | ( ( street @ X5 @ mactual )
          = $false )
        | ( ( chevy @ X6 @ mactual )
          = $false )
        | ( $false
          = ( lonely @ X5 @ mactual ) )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( old @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f342]) ).

thf(f344,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( barrel @ X4 @ X6 @ mactual )
          = $false )
        | ( ( car @ X6 @ mactual )
          = $false )
        | ( ( ( fellow @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( young @ X7 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( young @ X8 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X10 @ X2 @ mactual ) )
          = $false )
        | ( ( street @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( hollywood @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( down @ X4 @ X5 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( way @ X5 @ mactual )
          = $false )
        | ( ( dirty @ X6 @ mactual )
          = $false )
        | ( $true
          = ( qmltpeq @ X7 @ X8 @ mactual ) )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( old @ X6 @ mactual )
          = $false )
        | ( $false
          = ( lonely @ X5 @ mactual ) )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( chevy @ X6 @ mactual )
          = $false )
        | ( $false
          = ( white @ X6 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(not_proxy_clausification,[],[f343]) ).

thf(f345,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( street @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ X7 @ mactual ) )
        | ( $true
          = ( qmltpeq @ X7 @ X8 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( hollywood @ X3 @ mactual )
          = $false )
        | ( ( way @ X5 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( down @ X4 @ X5 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( old @ X6 @ mactual )
          = $false )
        | ( ( barrel @ X4 @ X6 @ mactual )
          = $false )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( $false
          = ( ( man @ X7 @ mactual )
            & ( young @ X7 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( young @ X8 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X10 @ X2 @ mactual ) ) )
        | ( $false
          = ( lonely @ X5 @ mactual ) )
        | ( ( dirty @ X6 @ mactual )
          = $false )
        | ( $false
          = ( white @ X6 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( car @ X6 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( chevy @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f344]) ).

thf(f346,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( city @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( car @ X6 @ mactual )
          = $false )
        | ( ( way @ X5 @ mactual )
          = $false )
        | ( ( street @ X5 @ mactual )
          = $false )
        | ( ( old @ X6 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( $false
          = ( fellow @ X7 @ mactual ) )
        | ( ( chevy @ X6 @ mactual )
          = $false )
        | ( ( barrel @ X4 @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( hollywood @ X3 @ mactual )
          = $false )
        | ( $false
          = ( white @ X6 @ mactual ) )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( ( young @ X7 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( young @ X8 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X10 @ X2 @ mactual ) )
          = $false )
        | ( $true
          = ( qmltpeq @ X7 @ X8 @ mactual ) )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( ( man @ X7 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( down @ X4 @ X5 @ mactual )
          = $false )
        | ( $false
          = ( lonely @ X5 @ mactual ) )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( ( dirty @ X6 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f345]) ).

thf(f347,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( dirty @ X6 @ mactual )
          = $false )
        | ( ( down @ X4 @ X5 @ mactual )
          = $false )
        | ( $false
          = ( white @ X6 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( man @ X7 @ mactual )
          = $false )
        | ( ( way @ X5 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ X7 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( young @ X7 @ mactual )
          = $false )
        | ( $false
          = ( ( fellow @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( young @ X8 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X10 @ X2 @ mactual ) ) )
        | ( ( street @ X5 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( barrel @ X4 @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( car @ X6 @ mactual )
          = $false )
        | ( $false
          = ( lonely @ X5 @ mactual ) )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( ( old @ X6 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( $true
          = ( qmltpeq @ X7 @ X8 @ mactual ) )
        | ( ( chevy @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( hollywood @ X3 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f346]) ).

thf(f348,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( $true
          = ( qmltpeq @ X7 @ X8 @ mactual ) )
        | ( $false
          = ( fellow @ X7 @ mactual ) )
        | ( ( down @ X4 @ X5 @ mactual )
          = $false )
        | ( $false
          = ( ( man @ X8 @ mactual )
            & ( young @ X8 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X10 @ X2 @ mactual ) ) )
        | ( ( barrel @ X4 @ X6 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( hollywood @ X3 @ mactual )
          = $false )
        | ( ( car @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( young @ X7 @ mactual )
          = $false )
        | ( ( man @ X7 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( old @ X6 @ mactual )
          = $false )
        | ( ( dirty @ X6 @ mactual )
          = $false )
        | ( ( chevy @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( $false
          = ( lonely @ X5 @ mactual ) )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( street @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( fellow @ X8 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( ( way @ X5 @ mactual )
          = $false )
        | ( $false
          = ( white @ X6 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f347]) ).

thf(f349,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( down @ X4 @ X5 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ X7 @ mactual ) )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( $true
          = ( qmltpeq @ X7 @ X8 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( way @ X5 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( dirty @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( ( young @ X8 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X10 @ X2 @ mactual ) ) )
        | ( ( fellow @ X8 @ mactual )
          = $false )
        | ( ( street @ X5 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( man @ X8 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( white @ X6 @ mactual ) )
        | ( ( hollywood @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( young @ X7 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( barrel @ X4 @ X6 @ mactual )
          = $false )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( ( chevy @ X6 @ mactual )
          = $false )
        | ( ( man @ X7 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( ( car @ X6 @ mactual )
          = $false )
        | ( $false
          = ( lonely @ X5 @ mactual ) )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( old @ X6 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f348]) ).

thf(f350,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( white @ X6 @ mactual ) )
        | ( ( ( qmltpeq @ X7 @ X9 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X10 @ X2 @ mactual ) )
          = $false )
        | ( $false
          = ( fellow @ X7 @ mactual ) )
        | ( ( chevy @ X6 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( young @ X7 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( down @ X4 @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( hollywood @ X3 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( barrel @ X4 @ X6 @ mactual )
          = $false )
        | ( ( old @ X6 @ mactual )
          = $false )
        | ( ( fellow @ X8 @ mactual )
          = $false )
        | ( $false
          = ( lonely @ X5 @ mactual ) )
        | ( ( way @ X5 @ mactual )
          = $false )
        | ( ( dirty @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( car @ X6 @ mactual )
          = $false )
        | ( ( young @ X8 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( man @ X7 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( man @ X8 @ mactual )
          = $false )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( $true
          = ( qmltpeq @ X7 @ X8 @ mactual ) )
        | ( ( street @ X5 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f349]) ).

thf(f351,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( qmltpeq @ X7 @ X9 @ mactual )
          = $false )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( man @ X7 @ mactual )
          = $false )
        | ( ( dirty @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ X7 @ mactual ) )
        | ( ( man @ X8 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( young @ X8 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( fellow @ X8 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( hollywood @ X3 @ mactual )
          = $false )
        | ( $false
          = ( lonely @ X5 @ mactual ) )
        | ( ( barrel @ X4 @ X6 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( $false
          = ( ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X10 @ X2 @ mactual ) ) )
        | ( ( street @ X5 @ mactual )
          = $false )
        | ( $false
          = ( white @ X6 @ mactual ) )
        | ( ( down @ X4 @ X5 @ mactual )
          = $false )
        | ( ( car @ X6 @ mactual )
          = $false )
        | ( ( old @ X6 @ mactual )
          = $false )
        | ( ( young @ X7 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( way @ X5 @ mactual )
          = $false )
        | ( $true
          = ( qmltpeq @ X7 @ X8 @ mactual ) )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( chevy @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f350]) ).

thf(f352,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X10 @ X2 @ mactual ) )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( young @ X8 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( ( chevy @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( dirty @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ X7 @ mactual ) )
        | ( $false
          = ( lonely @ X5 @ mactual ) )
        | ( $true
          = ( qmltpeq @ X7 @ X8 @ mactual ) )
        | ( ( man @ X7 @ mactual )
          = $false )
        | ( ( qmltpeq @ X7 @ X9 @ mactual )
          = $false )
        | ( ( way @ X5 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( hollywood @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( young @ X7 @ mactual )
          = $false )
        | ( ( down @ X4 @ X5 @ mactual )
          = $false )
        | ( ( barrel @ X4 @ X6 @ mactual )
          = $false )
        | ( ( car @ X6 @ mactual )
          = $false )
        | ( $false
          = ( white @ X6 @ mactual ) )
        | ( ( fellow @ X8 @ mactual )
          = $false )
        | ( ( street @ X5 @ mactual )
          = $false )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( ( in @ X9 @ X1 @ mactual )
          = $false )
        | ( ( old @ X6 @ mactual )
          = $false )
        | ( ( man @ X8 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f351]) ).

thf(f353,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( hollywood @ X3 @ mactual )
          = $false )
        | ( $false
          = ( qmltpeq @ X8 @ X10 @ mactual ) )
        | ( ( young @ X7 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( fellow @ X8 @ mactual )
          = $false )
        | ( ( man @ X7 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( in @ X9 @ X1 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( down @ X4 @ X5 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( barrel @ X4 @ X6 @ mactual )
          = $false )
        | ( ( chevy @ X6 @ mactual )
          = $false )
        | ( ( young @ X8 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( white @ X6 @ mactual ) )
        | ( ( car @ X6 @ mactual )
          = $false )
        | ( ( man @ X8 @ mactual )
          = $false )
        | ( $true
          = ( qmltpeq @ X7 @ X8 @ mactual ) )
        | ( ( in @ X10 @ X2 @ mactual )
          = $false )
        | ( ( old @ X6 @ mactual )
          = $false )
        | ( ( way @ X5 @ mactual )
          = $false )
        | ( ( street @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( lonely @ X5 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( dirty @ X6 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( qmltpeq @ X7 @ X9 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ X7 @ mactual ) )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( ( furniture @ X1 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f352]) ).

thf(f355,definition,
    ( spl0_3
  <=> ! [X9: $i,X7: $i,X8: $i,X10: $i,X2: $i,X1: $i] :
        ( ( $false
          = ( qmltpeq @ X8 @ X10 @ mactual ) )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( $false
          = ( fellow @ X7 @ mactual ) )
        | ( ( qmltpeq @ X7 @ X9 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( in @ X10 @ X2 @ mactual )
          = $false )
        | ( ( man @ X8 @ mactual )
          = $false )
        | ( ( young @ X8 @ mactual )
          = $false )
        | ( ( in @ X9 @ X1 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( fellow @ X8 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( young @ X7 @ mactual )
          = $false )
        | ( $true
          = ( qmltpeq @ X7 @ X8 @ mactual ) )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( ( man @ X7 @ mactual )
          = $false ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

thf(f356,plain,
    ( ! [X2: $i,X10: $i,X1: $i,X8: $i,X9: $i,X7: $i] :
        ( ( $true
          = ( qmltpeq @ X7 @ X8 @ mactual ) )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( qmltpeq @ X7 @ X9 @ mactual )
          = $false )
        | ( ( man @ X7 @ mactual )
          = $false )
        | ( ( in @ X10 @ X2 @ mactual )
          = $false )
        | ( ( young @ X8 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( man @ X8 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( $false
          = ( qmltpeq @ X8 @ X10 @ mactual ) )
        | ( $false
          = ( fellow @ X7 @ mactual ) )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( young @ X7 @ mactual )
          = $false )
        | ( ( fellow @ X8 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( in @ X9 @ X1 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false ) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f355]) ).

thf(f358,definition,
    ( spl0_4
  <=> ! [X5: $i,X4: $i,X6: $i,X3: $i] :
        ( ( ( hollywood @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( barrel @ X4 @ X6 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( down @ X4 @ X5 @ mactual )
          = $false )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( dirty @ X6 @ mactual )
          = $false )
        | ( $false
          = ( lonely @ X5 @ mactual ) )
        | ( ( street @ X5 @ mactual )
          = $false )
        | ( ( way @ X5 @ mactual )
          = $false )
        | ( ( old @ X6 @ mactual )
          = $false )
        | ( ( car @ X6 @ mactual )
          = $false )
        | ( $false
          = ( white @ X6 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( chevy @ X6 @ mactual )
          = $false ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

thf(f359,plain,
    ( ! [X3: $i,X6: $i,X4: $i,X5: $i] :
        ( ( ( down @ X4 @ X5 @ mactual )
          = $false )
        | ( ( street @ X5 @ mactual )
          = $false )
        | ( $false
          = ( white @ X6 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( ( hollywood @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( old @ X6 @ mactual )
          = $false )
        | ( ( car @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( barrel @ X4 @ X6 @ mactual )
          = $false )
        | ( ( chevy @ X6 @ mactual )
          = $false )
        | ( ( dirty @ X6 @ mactual )
          = $false )
        | ( ( way @ X5 @ mactual )
          = $false )
        | ( $false
          = ( lonely @ X5 @ mactual ) ) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f358]) ).

thf(f360,plain,
    ( spl0_3
    | spl0_4
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f353,f223,f358,f355]) ).

thf(f367,plain,
    ( ( $true
      = ( ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ mactual )
                        & ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ mactual )
                              & ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( eiw_di @ Y4 @ mactual )
                                    & ( seat @ sK1 @ mactual )
                                    & ( furniture @ sK1 @ mactual )
                                    & ( front @ sK1 @ mactual )
                                    & ( seat @ sK2 @ mactual )
                                    & ( furniture @ sK2 @ mactual )
                                    & ( front @ sK2 @ mactual )
                                    & ( hollywood @ sK3 @ mactual )
                                    & ( city @ sK3 @ mactual )
                                    & ( event @ sK4 @ mactual )
                                    & ( chevy @ sK5 @ mactual )
                                    & ( car @ sK5 @ mactual )
                                    & ( white @ sK5 @ mactual )
                                    & ( dirty @ sK5 @ mactual )
                                    & ( old @ sK5 @ mactual )
                                    & ( street @ Y0 @ mactual )
                                    & ( way @ Y0 @ mactual )
                                    & ( lonely @ Y0 @ mactual )
                                    & ( barrel @ sK4 @ sK5 @ mactual )
                                    & ( down @ sK4 @ Y0 @ mactual )
                                    & ( in @ sK4 @ sK3 @ mactual )
                                    & ~ ( qmltpeq @ Y1 @ Y2 @ mactual )
                                    & ( fellow @ Y1 @ mactual )
                                    & ( man @ Y1 @ mactual )
                                    & ( young @ Y1 @ mactual )
                                    & ( fellow @ Y2 @ mactual )
                                    & ( man @ Y2 @ mactual )
                                    & ( young @ Y2 @ mactual )
                                    & ( qmltpeq @ Y1 @ Y3 @ mactual )
                                    & ( in @ Y3 @ sK1 @ mactual )
                                    & ( qmltpeq @ Y2 @ Y4 @ mactual )
                                    & ( in @ Y4 @ sK2 @ mactual ) ) ) ) ) ) ) ) ) )
        @ sK6 ) )
    | ~ spl0_1 ),
    inference(sigma_proxy_clausification,[],[f299]) ).

thf(f370,plain,
    ( ( $true
      = ( ( eiw_di @ sK6 @ mactual )
        & ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ?? @ $i
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( seat @ sK1 @ mactual )
                                & ( furniture @ sK1 @ mactual )
                                & ( front @ sK1 @ mactual )
                                & ( seat @ sK2 @ mactual )
                                & ( furniture @ sK2 @ mactual )
                                & ( front @ sK2 @ mactual )
                                & ( hollywood @ sK3 @ mactual )
                                & ( city @ sK3 @ mactual )
                                & ( event @ sK4 @ mactual )
                                & ( chevy @ sK5 @ mactual )
                                & ( car @ sK5 @ mactual )
                                & ( white @ sK5 @ mactual )
                                & ( dirty @ sK5 @ mactual )
                                & ( old @ sK5 @ mactual )
                                & ( street @ sK6 @ mactual )
                                & ( way @ sK6 @ mactual )
                                & ( lonely @ sK6 @ mactual )
                                & ( barrel @ sK4 @ sK5 @ mactual )
                                & ( down @ sK4 @ sK6 @ mactual )
                                & ( in @ sK4 @ sK3 @ mactual )
                                & ~ ( qmltpeq @ Y0 @ Y1 @ mactual )
                                & ( fellow @ Y0 @ mactual )
                                & ( man @ Y0 @ mactual )
                                & ( young @ Y0 @ mactual )
                                & ( fellow @ Y1 @ mactual )
                                & ( man @ Y1 @ mactual )
                                & ( young @ Y1 @ mactual )
                                & ( qmltpeq @ Y0 @ Y2 @ mactual )
                                & ( in @ Y2 @ sK1 @ mactual )
                                & ( qmltpeq @ Y1 @ Y3 @ mactual )
                                & ( in @ Y3 @ sK2 @ mactual ) ) ) ) ) ) ) ) ) ) )
    | ~ spl0_1 ),
    inference(beta-eta_normalization,[],[f367]) ).

thf(f371,plain,
    ( ( $true
      = ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ mactual )
                        & ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ mactual )
                              & ( seat @ sK1 @ mactual )
                              & ( furniture @ sK1 @ mactual )
                              & ( front @ sK1 @ mactual )
                              & ( seat @ sK2 @ mactual )
                              & ( furniture @ sK2 @ mactual )
                              & ( front @ sK2 @ mactual )
                              & ( hollywood @ sK3 @ mactual )
                              & ( city @ sK3 @ mactual )
                              & ( event @ sK4 @ mactual )
                              & ( chevy @ sK5 @ mactual )
                              & ( car @ sK5 @ mactual )
                              & ( white @ sK5 @ mactual )
                              & ( dirty @ sK5 @ mactual )
                              & ( old @ sK5 @ mactual )
                              & ( street @ sK6 @ mactual )
                              & ( way @ sK6 @ mactual )
                              & ( lonely @ sK6 @ mactual )
                              & ( barrel @ sK4 @ sK5 @ mactual )
                              & ( down @ sK4 @ sK6 @ mactual )
                              & ( in @ sK4 @ sK3 @ mactual )
                              & ~ ( qmltpeq @ Y0 @ Y1 @ mactual )
                              & ( fellow @ Y0 @ mactual )
                              & ( man @ Y0 @ mactual )
                              & ( young @ Y0 @ mactual )
                              & ( fellow @ Y1 @ mactual )
                              & ( man @ Y1 @ mactual )
                              & ( young @ Y1 @ mactual )
                              & ( qmltpeq @ Y0 @ Y2 @ mactual )
                              & ( in @ Y2 @ sK1 @ mactual )
                              & ( qmltpeq @ Y1 @ Y3 @ mactual )
                              & ( in @ Y3 @ sK2 @ mactual ) ) ) ) ) ) ) ) ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f370]) ).

thf(f372,plain,
    ( ( ( eiw_di @ sK6 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f370]) ).

thf(f375,plain,
    ( ( $true
      = ( ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ mactual )
                        & ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ mactual )
                              & ( seat @ sK1 @ mactual )
                              & ( furniture @ sK1 @ mactual )
                              & ( front @ sK1 @ mactual )
                              & ( seat @ sK2 @ mactual )
                              & ( furniture @ sK2 @ mactual )
                              & ( front @ sK2 @ mactual )
                              & ( hollywood @ sK3 @ mactual )
                              & ( city @ sK3 @ mactual )
                              & ( event @ sK4 @ mactual )
                              & ( chevy @ sK5 @ mactual )
                              & ( car @ sK5 @ mactual )
                              & ( white @ sK5 @ mactual )
                              & ( dirty @ sK5 @ mactual )
                              & ( old @ sK5 @ mactual )
                              & ( street @ sK6 @ mactual )
                              & ( way @ sK6 @ mactual )
                              & ( lonely @ sK6 @ mactual )
                              & ( barrel @ sK4 @ sK5 @ mactual )
                              & ( down @ sK4 @ sK6 @ mactual )
                              & ( in @ sK4 @ sK3 @ mactual )
                              & ~ ( qmltpeq @ Y0 @ Y1 @ mactual )
                              & ( fellow @ Y0 @ mactual )
                              & ( man @ Y0 @ mactual )
                              & ( young @ Y0 @ mactual )
                              & ( fellow @ Y1 @ mactual )
                              & ( man @ Y1 @ mactual )
                              & ( young @ Y1 @ mactual )
                              & ( qmltpeq @ Y0 @ Y2 @ mactual )
                              & ( in @ Y2 @ sK1 @ mactual )
                              & ( qmltpeq @ Y1 @ Y3 @ mactual )
                              & ( in @ Y3 @ sK2 @ mactual ) ) ) ) ) ) ) )
        @ sK7 ) )
    | ~ spl0_1 ),
    inference(sigma_proxy_clausification,[],[f371]) ).

thf(f378,plain,
    ( ( ( ( eiw_di @ sK7 @ mactual )
        & ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( seat @ sK1 @ mactual )
                          & ( furniture @ sK1 @ mactual )
                          & ( front @ sK1 @ mactual )
                          & ( seat @ sK2 @ mactual )
                          & ( furniture @ sK2 @ mactual )
                          & ( front @ sK2 @ mactual )
                          & ( hollywood @ sK3 @ mactual )
                          & ( city @ sK3 @ mactual )
                          & ( event @ sK4 @ mactual )
                          & ( chevy @ sK5 @ mactual )
                          & ( car @ sK5 @ mactual )
                          & ( white @ sK5 @ mactual )
                          & ( dirty @ sK5 @ mactual )
                          & ( old @ sK5 @ mactual )
                          & ( street @ sK6 @ mactual )
                          & ( way @ sK6 @ mactual )
                          & ( lonely @ sK6 @ mactual )
                          & ( barrel @ sK4 @ sK5 @ mactual )
                          & ( down @ sK4 @ sK6 @ mactual )
                          & ( in @ sK4 @ sK3 @ mactual )
                          & ~ ( qmltpeq @ sK7 @ Y0 @ mactual )
                          & ( fellow @ sK7 @ mactual )
                          & ( man @ sK7 @ mactual )
                          & ( young @ sK7 @ mactual )
                          & ( fellow @ Y0 @ mactual )
                          & ( man @ Y0 @ mactual )
                          & ( young @ Y0 @ mactual )
                          & ( qmltpeq @ sK7 @ Y1 @ mactual )
                          & ( in @ Y1 @ sK1 @ mactual )
                          & ( qmltpeq @ Y0 @ Y2 @ mactual )
                          & ( in @ Y2 @ sK2 @ mactual ) ) ) ) ) ) ) )
      = $true )
    | ~ spl0_1 ),
    inference(beta-eta_normalization,[],[f375]) ).

thf(f379,plain,
    ( ( $true
      = ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ mactual )
                        & ( seat @ sK1 @ mactual )
                        & ( furniture @ sK1 @ mactual )
                        & ( front @ sK1 @ mactual )
                        & ( seat @ sK2 @ mactual )
                        & ( furniture @ sK2 @ mactual )
                        & ( front @ sK2 @ mactual )
                        & ( hollywood @ sK3 @ mactual )
                        & ( city @ sK3 @ mactual )
                        & ( event @ sK4 @ mactual )
                        & ( chevy @ sK5 @ mactual )
                        & ( car @ sK5 @ mactual )
                        & ( white @ sK5 @ mactual )
                        & ( dirty @ sK5 @ mactual )
                        & ( old @ sK5 @ mactual )
                        & ( street @ sK6 @ mactual )
                        & ( way @ sK6 @ mactual )
                        & ( lonely @ sK6 @ mactual )
                        & ( barrel @ sK4 @ sK5 @ mactual )
                        & ( down @ sK4 @ sK6 @ mactual )
                        & ( in @ sK4 @ sK3 @ mactual )
                        & ~ ( qmltpeq @ sK7 @ Y0 @ mactual )
                        & ( fellow @ sK7 @ mactual )
                        & ( man @ sK7 @ mactual )
                        & ( young @ sK7 @ mactual )
                        & ( fellow @ Y0 @ mactual )
                        & ( man @ Y0 @ mactual )
                        & ( young @ Y0 @ mactual )
                        & ( qmltpeq @ sK7 @ Y1 @ mactual )
                        & ( in @ Y1 @ sK1 @ mactual )
                        & ( qmltpeq @ Y0 @ Y2 @ mactual )
                        & ( in @ Y2 @ sK2 @ mactual ) ) ) ) ) ) ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f378]) ).

thf(f380,plain,
    ( ( $true
      = ( eiw_di @ sK7 @ mactual ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f378]) ).

thf(f383,plain,
    ( ( ( ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ mactual )
                        & ( seat @ sK1 @ mactual )
                        & ( furniture @ sK1 @ mactual )
                        & ( front @ sK1 @ mactual )
                        & ( seat @ sK2 @ mactual )
                        & ( furniture @ sK2 @ mactual )
                        & ( front @ sK2 @ mactual )
                        & ( hollywood @ sK3 @ mactual )
                        & ( city @ sK3 @ mactual )
                        & ( event @ sK4 @ mactual )
                        & ( chevy @ sK5 @ mactual )
                        & ( car @ sK5 @ mactual )
                        & ( white @ sK5 @ mactual )
                        & ( dirty @ sK5 @ mactual )
                        & ( old @ sK5 @ mactual )
                        & ( street @ sK6 @ mactual )
                        & ( way @ sK6 @ mactual )
                        & ( lonely @ sK6 @ mactual )
                        & ( barrel @ sK4 @ sK5 @ mactual )
                        & ( down @ sK4 @ sK6 @ mactual )
                        & ( in @ sK4 @ sK3 @ mactual )
                        & ~ ( qmltpeq @ sK7 @ Y0 @ mactual )
                        & ( fellow @ sK7 @ mactual )
                        & ( man @ sK7 @ mactual )
                        & ( young @ sK7 @ mactual )
                        & ( fellow @ Y0 @ mactual )
                        & ( man @ Y0 @ mactual )
                        & ( young @ Y0 @ mactual )
                        & ( qmltpeq @ sK7 @ Y1 @ mactual )
                        & ( in @ Y1 @ sK1 @ mactual )
                        & ( qmltpeq @ Y0 @ Y2 @ mactual )
                        & ( in @ Y2 @ sK2 @ mactual ) ) ) ) ) )
        @ sK8 )
      = $true )
    | ~ spl0_1 ),
    inference(sigma_proxy_clausification,[],[f379]) ).

thf(f385,plain,
    ( ( ( ( eiw_di @ sK8 @ mactual )
        & ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( seat @ sK1 @ mactual )
                    & ( furniture @ sK1 @ mactual )
                    & ( front @ sK1 @ mactual )
                    & ( seat @ sK2 @ mactual )
                    & ( furniture @ sK2 @ mactual )
                    & ( front @ sK2 @ mactual )
                    & ( hollywood @ sK3 @ mactual )
                    & ( city @ sK3 @ mactual )
                    & ( event @ sK4 @ mactual )
                    & ( chevy @ sK5 @ mactual )
                    & ( car @ sK5 @ mactual )
                    & ( white @ sK5 @ mactual )
                    & ( dirty @ sK5 @ mactual )
                    & ( old @ sK5 @ mactual )
                    & ( street @ sK6 @ mactual )
                    & ( way @ sK6 @ mactual )
                    & ( lonely @ sK6 @ mactual )
                    & ( barrel @ sK4 @ sK5 @ mactual )
                    & ( down @ sK4 @ sK6 @ mactual )
                    & ( in @ sK4 @ sK3 @ mactual )
                    & ~ ( qmltpeq @ sK7 @ sK8 @ mactual )
                    & ( fellow @ sK7 @ mactual )
                    & ( man @ sK7 @ mactual )
                    & ( young @ sK7 @ mactual )
                    & ( fellow @ sK8 @ mactual )
                    & ( man @ sK8 @ mactual )
                    & ( young @ sK8 @ mactual )
                    & ( qmltpeq @ sK7 @ Y0 @ mactual )
                    & ( in @ Y0 @ sK1 @ mactual )
                    & ( qmltpeq @ sK8 @ Y1 @ mactual )
                    & ( in @ Y1 @ sK2 @ mactual ) ) ) ) ) )
      = $true )
    | ~ spl0_1 ),
    inference(beta-eta_normalization,[],[f383]) ).

thf(f387,plain,
    ( ( $true
      = ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( seat @ sK1 @ mactual )
                  & ( furniture @ sK1 @ mactual )
                  & ( front @ sK1 @ mactual )
                  & ( seat @ sK2 @ mactual )
                  & ( furniture @ sK2 @ mactual )
                  & ( front @ sK2 @ mactual )
                  & ( hollywood @ sK3 @ mactual )
                  & ( city @ sK3 @ mactual )
                  & ( event @ sK4 @ mactual )
                  & ( chevy @ sK5 @ mactual )
                  & ( car @ sK5 @ mactual )
                  & ( white @ sK5 @ mactual )
                  & ( dirty @ sK5 @ mactual )
                  & ( old @ sK5 @ mactual )
                  & ( street @ sK6 @ mactual )
                  & ( way @ sK6 @ mactual )
                  & ( lonely @ sK6 @ mactual )
                  & ( barrel @ sK4 @ sK5 @ mactual )
                  & ( down @ sK4 @ sK6 @ mactual )
                  & ( in @ sK4 @ sK3 @ mactual )
                  & ~ ( qmltpeq @ sK7 @ sK8 @ mactual )
                  & ( fellow @ sK7 @ mactual )
                  & ( man @ sK7 @ mactual )
                  & ( young @ sK7 @ mactual )
                  & ( fellow @ sK8 @ mactual )
                  & ( man @ sK8 @ mactual )
                  & ( young @ sK8 @ mactual )
                  & ( qmltpeq @ sK7 @ Y0 @ mactual )
                  & ( in @ Y0 @ sK1 @ mactual )
                  & ( qmltpeq @ sK8 @ Y1 @ mactual )
                  & ( in @ Y1 @ sK2 @ mactual ) ) ) ) ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f385]) ).

thf(f388,plain,
    ( ( $true
      = ( eiw_di @ sK8 @ mactual ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f385]) ).

thf(f391,plain,
    ( ( $true
      = ( ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( seat @ sK1 @ mactual )
                  & ( furniture @ sK1 @ mactual )
                  & ( front @ sK1 @ mactual )
                  & ( seat @ sK2 @ mactual )
                  & ( furniture @ sK2 @ mactual )
                  & ( front @ sK2 @ mactual )
                  & ( hollywood @ sK3 @ mactual )
                  & ( city @ sK3 @ mactual )
                  & ( event @ sK4 @ mactual )
                  & ( chevy @ sK5 @ mactual )
                  & ( car @ sK5 @ mactual )
                  & ( white @ sK5 @ mactual )
                  & ( dirty @ sK5 @ mactual )
                  & ( old @ sK5 @ mactual )
                  & ( street @ sK6 @ mactual )
                  & ( way @ sK6 @ mactual )
                  & ( lonely @ sK6 @ mactual )
                  & ( barrel @ sK4 @ sK5 @ mactual )
                  & ( down @ sK4 @ sK6 @ mactual )
                  & ( in @ sK4 @ sK3 @ mactual )
                  & ~ ( qmltpeq @ sK7 @ sK8 @ mactual )
                  & ( fellow @ sK7 @ mactual )
                  & ( man @ sK7 @ mactual )
                  & ( young @ sK7 @ mactual )
                  & ( fellow @ sK8 @ mactual )
                  & ( man @ sK8 @ mactual )
                  & ( young @ sK8 @ mactual )
                  & ( qmltpeq @ sK7 @ Y0 @ mactual )
                  & ( in @ Y0 @ sK1 @ mactual )
                  & ( qmltpeq @ sK8 @ Y1 @ mactual )
                  & ( in @ Y1 @ sK2 @ mactual ) ) ) )
        @ sK9 ) )
    | ~ spl0_1 ),
    inference(sigma_proxy_clausification,[],[f387]) ).

thf(f394,plain,
    ( ( $true
      = ( ( eiw_di @ sK9 @ mactual )
        & ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( seat @ sK1 @ mactual )
              & ( furniture @ sK1 @ mactual )
              & ( front @ sK1 @ mactual )
              & ( seat @ sK2 @ mactual )
              & ( furniture @ sK2 @ mactual )
              & ( front @ sK2 @ mactual )
              & ( hollywood @ sK3 @ mactual )
              & ( city @ sK3 @ mactual )
              & ( event @ sK4 @ mactual )
              & ( chevy @ sK5 @ mactual )
              & ( car @ sK5 @ mactual )
              & ( white @ sK5 @ mactual )
              & ( dirty @ sK5 @ mactual )
              & ( old @ sK5 @ mactual )
              & ( street @ sK6 @ mactual )
              & ( way @ sK6 @ mactual )
              & ( lonely @ sK6 @ mactual )
              & ( barrel @ sK4 @ sK5 @ mactual )
              & ( down @ sK4 @ sK6 @ mactual )
              & ( in @ sK4 @ sK3 @ mactual )
              & ~ ( qmltpeq @ sK7 @ sK8 @ mactual )
              & ( fellow @ sK7 @ mactual )
              & ( man @ sK7 @ mactual )
              & ( young @ sK7 @ mactual )
              & ( fellow @ sK8 @ mactual )
              & ( man @ sK8 @ mactual )
              & ( young @ sK8 @ mactual )
              & ( qmltpeq @ sK7 @ sK9 @ mactual )
              & ( in @ sK9 @ sK1 @ mactual )
              & ( qmltpeq @ sK8 @ Y0 @ mactual )
              & ( in @ Y0 @ sK2 @ mactual ) ) ) ) )
    | ~ spl0_1 ),
    inference(beta-eta_normalization,[],[f391]) ).

thf(f395,plain,
    ( ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( seat @ sK1 @ mactual )
            & ( furniture @ sK1 @ mactual )
            & ( front @ sK1 @ mactual )
            & ( seat @ sK2 @ mactual )
            & ( furniture @ sK2 @ mactual )
            & ( front @ sK2 @ mactual )
            & ( hollywood @ sK3 @ mactual )
            & ( city @ sK3 @ mactual )
            & ( event @ sK4 @ mactual )
            & ( chevy @ sK5 @ mactual )
            & ( car @ sK5 @ mactual )
            & ( white @ sK5 @ mactual )
            & ( dirty @ sK5 @ mactual )
            & ( old @ sK5 @ mactual )
            & ( street @ sK6 @ mactual )
            & ( way @ sK6 @ mactual )
            & ( lonely @ sK6 @ mactual )
            & ( barrel @ sK4 @ sK5 @ mactual )
            & ( down @ sK4 @ sK6 @ mactual )
            & ( in @ sK4 @ sK3 @ mactual )
            & ~ ( qmltpeq @ sK7 @ sK8 @ mactual )
            & ( fellow @ sK7 @ mactual )
            & ( man @ sK7 @ mactual )
            & ( young @ sK7 @ mactual )
            & ( fellow @ sK8 @ mactual )
            & ( man @ sK8 @ mactual )
            & ( young @ sK8 @ mactual )
            & ( qmltpeq @ sK7 @ sK9 @ mactual )
            & ( in @ sK9 @ sK1 @ mactual )
            & ( qmltpeq @ sK8 @ Y0 @ mactual )
            & ( in @ Y0 @ sK2 @ mactual ) ) )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f394]) ).

thf(f396,plain,
    ( ( ( eiw_di @ sK9 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f394]) ).

thf(f399,plain,
    ( ( $true
      = ( ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( seat @ sK1 @ mactual )
            & ( furniture @ sK1 @ mactual )
            & ( front @ sK1 @ mactual )
            & ( seat @ sK2 @ mactual )
            & ( furniture @ sK2 @ mactual )
            & ( front @ sK2 @ mactual )
            & ( hollywood @ sK3 @ mactual )
            & ( city @ sK3 @ mactual )
            & ( event @ sK4 @ mactual )
            & ( chevy @ sK5 @ mactual )
            & ( car @ sK5 @ mactual )
            & ( white @ sK5 @ mactual )
            & ( dirty @ sK5 @ mactual )
            & ( old @ sK5 @ mactual )
            & ( street @ sK6 @ mactual )
            & ( way @ sK6 @ mactual )
            & ( lonely @ sK6 @ mactual )
            & ( barrel @ sK4 @ sK5 @ mactual )
            & ( down @ sK4 @ sK6 @ mactual )
            & ( in @ sK4 @ sK3 @ mactual )
            & ~ ( qmltpeq @ sK7 @ sK8 @ mactual )
            & ( fellow @ sK7 @ mactual )
            & ( man @ sK7 @ mactual )
            & ( young @ sK7 @ mactual )
            & ( fellow @ sK8 @ mactual )
            & ( man @ sK8 @ mactual )
            & ( young @ sK8 @ mactual )
            & ( qmltpeq @ sK7 @ sK9 @ mactual )
            & ( in @ sK9 @ sK1 @ mactual )
            & ( qmltpeq @ sK8 @ Y0 @ mactual )
            & ( in @ Y0 @ sK2 @ mactual ) )
        @ sK10 ) )
    | ~ spl0_1 ),
    inference(sigma_proxy_clausification,[],[f395]) ).

thf(f402,plain,
    ( ( $true
      = ( ( eiw_di @ sK10 @ mactual )
        & ( seat @ sK1 @ mactual )
        & ( furniture @ sK1 @ mactual )
        & ( front @ sK1 @ mactual )
        & ( seat @ sK2 @ mactual )
        & ( furniture @ sK2 @ mactual )
        & ( front @ sK2 @ mactual )
        & ( hollywood @ sK3 @ mactual )
        & ( city @ sK3 @ mactual )
        & ( event @ sK4 @ mactual )
        & ( chevy @ sK5 @ mactual )
        & ( car @ sK5 @ mactual )
        & ( white @ sK5 @ mactual )
        & ( dirty @ sK5 @ mactual )
        & ( old @ sK5 @ mactual )
        & ( street @ sK6 @ mactual )
        & ( way @ sK6 @ mactual )
        & ( lonely @ sK6 @ mactual )
        & ( barrel @ sK4 @ sK5 @ mactual )
        & ( down @ sK4 @ sK6 @ mactual )
        & ( in @ sK4 @ sK3 @ mactual )
        & ~ ( qmltpeq @ sK7 @ sK8 @ mactual )
        & ( fellow @ sK7 @ mactual )
        & ( man @ sK7 @ mactual )
        & ( young @ sK7 @ mactual )
        & ( fellow @ sK8 @ mactual )
        & ( man @ sK8 @ mactual )
        & ( young @ sK8 @ mactual )
        & ( qmltpeq @ sK7 @ sK9 @ mactual )
        & ( in @ sK9 @ sK1 @ mactual )
        & ( qmltpeq @ sK8 @ sK10 @ mactual )
        & ( in @ sK10 @ sK2 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(beta-eta_normalization,[],[f399]) ).

thf(f403,plain,
    ( ( ( ( seat @ sK1 @ mactual )
        & ( furniture @ sK1 @ mactual )
        & ( front @ sK1 @ mactual )
        & ( seat @ sK2 @ mactual )
        & ( furniture @ sK2 @ mactual )
        & ( front @ sK2 @ mactual )
        & ( hollywood @ sK3 @ mactual )
        & ( city @ sK3 @ mactual )
        & ( event @ sK4 @ mactual )
        & ( chevy @ sK5 @ mactual )
        & ( car @ sK5 @ mactual )
        & ( white @ sK5 @ mactual )
        & ( dirty @ sK5 @ mactual )
        & ( old @ sK5 @ mactual )
        & ( street @ sK6 @ mactual )
        & ( way @ sK6 @ mactual )
        & ( lonely @ sK6 @ mactual )
        & ( barrel @ sK4 @ sK5 @ mactual )
        & ( down @ sK4 @ sK6 @ mactual )
        & ( in @ sK4 @ sK3 @ mactual )
        & ~ ( qmltpeq @ sK7 @ sK8 @ mactual )
        & ( fellow @ sK7 @ mactual )
        & ( man @ sK7 @ mactual )
        & ( young @ sK7 @ mactual )
        & ( fellow @ sK8 @ mactual )
        & ( man @ sK8 @ mactual )
        & ( young @ sK8 @ mactual )
        & ( qmltpeq @ sK7 @ sK9 @ mactual )
        & ( in @ sK9 @ sK1 @ mactual )
        & ( qmltpeq @ sK8 @ sK10 @ mactual )
        & ( in @ sK10 @ sK2 @ mactual ) )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f402]) ).

thf(f404,plain,
    ( ( ( eiw_di @ sK10 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f402]) ).

thf(f405,plain,
    ( ( $true
      = ( ( furniture @ sK1 @ mactual )
        & ( front @ sK1 @ mactual )
        & ( seat @ sK2 @ mactual )
        & ( furniture @ sK2 @ mactual )
        & ( front @ sK2 @ mactual )
        & ( hollywood @ sK3 @ mactual )
        & ( city @ sK3 @ mactual )
        & ( event @ sK4 @ mactual )
        & ( chevy @ sK5 @ mactual )
        & ( car @ sK5 @ mactual )
        & ( white @ sK5 @ mactual )
        & ( dirty @ sK5 @ mactual )
        & ( old @ sK5 @ mactual )
        & ( street @ sK6 @ mactual )
        & ( way @ sK6 @ mactual )
        & ( lonely @ sK6 @ mactual )
        & ( barrel @ sK4 @ sK5 @ mactual )
        & ( down @ sK4 @ sK6 @ mactual )
        & ( in @ sK4 @ sK3 @ mactual )
        & ~ ( qmltpeq @ sK7 @ sK8 @ mactual )
        & ( fellow @ sK7 @ mactual )
        & ( man @ sK7 @ mactual )
        & ( young @ sK7 @ mactual )
        & ( fellow @ sK8 @ mactual )
        & ( man @ sK8 @ mactual )
        & ( young @ sK8 @ mactual )
        & ( qmltpeq @ sK7 @ sK9 @ mactual )
        & ( in @ sK9 @ sK1 @ mactual )
        & ( qmltpeq @ sK8 @ sK10 @ mactual )
        & ( in @ sK10 @ sK2 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f403]) ).

thf(f406,plain,
    ( ( $true
      = ( seat @ sK1 @ mactual ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f403]) ).

thf(f407,plain,
    ( ( ( ( front @ sK1 @ mactual )
        & ( seat @ sK2 @ mactual )
        & ( furniture @ sK2 @ mactual )
        & ( front @ sK2 @ mactual )
        & ( hollywood @ sK3 @ mactual )
        & ( city @ sK3 @ mactual )
        & ( event @ sK4 @ mactual )
        & ( chevy @ sK5 @ mactual )
        & ( car @ sK5 @ mactual )
        & ( white @ sK5 @ mactual )
        & ( dirty @ sK5 @ mactual )
        & ( old @ sK5 @ mactual )
        & ( street @ sK6 @ mactual )
        & ( way @ sK6 @ mactual )
        & ( lonely @ sK6 @ mactual )
        & ( barrel @ sK4 @ sK5 @ mactual )
        & ( down @ sK4 @ sK6 @ mactual )
        & ( in @ sK4 @ sK3 @ mactual )
        & ~ ( qmltpeq @ sK7 @ sK8 @ mactual )
        & ( fellow @ sK7 @ mactual )
        & ( man @ sK7 @ mactual )
        & ( young @ sK7 @ mactual )
        & ( fellow @ sK8 @ mactual )
        & ( man @ sK8 @ mactual )
        & ( young @ sK8 @ mactual )
        & ( qmltpeq @ sK7 @ sK9 @ mactual )
        & ( in @ sK9 @ sK1 @ mactual )
        & ( qmltpeq @ sK8 @ sK10 @ mactual )
        & ( in @ sK10 @ sK2 @ mactual ) )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f405]) ).

thf(f408,plain,
    ( ( $true
      = ( furniture @ sK1 @ mactual ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f405]) ).

thf(f409,plain,
    ( ( $true
      = ( ( seat @ sK2 @ mactual )
        & ( furniture @ sK2 @ mactual )
        & ( front @ sK2 @ mactual )
        & ( hollywood @ sK3 @ mactual )
        & ( city @ sK3 @ mactual )
        & ( event @ sK4 @ mactual )
        & ( chevy @ sK5 @ mactual )
        & ( car @ sK5 @ mactual )
        & ( white @ sK5 @ mactual )
        & ( dirty @ sK5 @ mactual )
        & ( old @ sK5 @ mactual )
        & ( street @ sK6 @ mactual )
        & ( way @ sK6 @ mactual )
        & ( lonely @ sK6 @ mactual )
        & ( barrel @ sK4 @ sK5 @ mactual )
        & ( down @ sK4 @ sK6 @ mactual )
        & ( in @ sK4 @ sK3 @ mactual )
        & ~ ( qmltpeq @ sK7 @ sK8 @ mactual )
        & ( fellow @ sK7 @ mactual )
        & ( man @ sK7 @ mactual )
        & ( young @ sK7 @ mactual )
        & ( fellow @ sK8 @ mactual )
        & ( man @ sK8 @ mactual )
        & ( young @ sK8 @ mactual )
        & ( qmltpeq @ sK7 @ sK9 @ mactual )
        & ( in @ sK9 @ sK1 @ mactual )
        & ( qmltpeq @ sK8 @ sK10 @ mactual )
        & ( in @ sK10 @ sK2 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f407]) ).

thf(f410,plain,
    ( ( $true
      = ( front @ sK1 @ mactual ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f407]) ).

thf(f411,plain,
    ( ( ( ( furniture @ sK2 @ mactual )
        & ( front @ sK2 @ mactual )
        & ( hollywood @ sK3 @ mactual )
        & ( city @ sK3 @ mactual )
        & ( event @ sK4 @ mactual )
        & ( chevy @ sK5 @ mactual )
        & ( car @ sK5 @ mactual )
        & ( white @ sK5 @ mactual )
        & ( dirty @ sK5 @ mactual )
        & ( old @ sK5 @ mactual )
        & ( street @ sK6 @ mactual )
        & ( way @ sK6 @ mactual )
        & ( lonely @ sK6 @ mactual )
        & ( barrel @ sK4 @ sK5 @ mactual )
        & ( down @ sK4 @ sK6 @ mactual )
        & ( in @ sK4 @ sK3 @ mactual )
        & ~ ( qmltpeq @ sK7 @ sK8 @ mactual )
        & ( fellow @ sK7 @ mactual )
        & ( man @ sK7 @ mactual )
        & ( young @ sK7 @ mactual )
        & ( fellow @ sK8 @ mactual )
        & ( man @ sK8 @ mactual )
        & ( young @ sK8 @ mactual )
        & ( qmltpeq @ sK7 @ sK9 @ mactual )
        & ( in @ sK9 @ sK1 @ mactual )
        & ( qmltpeq @ sK8 @ sK10 @ mactual )
        & ( in @ sK10 @ sK2 @ mactual ) )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f409]) ).

thf(f412,plain,
    ( ( $true
      = ( seat @ sK2 @ mactual ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f409]) ).

thf(f413,plain,
    ( ( $true
      = ( ( front @ sK2 @ mactual )
        & ( hollywood @ sK3 @ mactual )
        & ( city @ sK3 @ mactual )
        & ( event @ sK4 @ mactual )
        & ( chevy @ sK5 @ mactual )
        & ( car @ sK5 @ mactual )
        & ( white @ sK5 @ mactual )
        & ( dirty @ sK5 @ mactual )
        & ( old @ sK5 @ mactual )
        & ( street @ sK6 @ mactual )
        & ( way @ sK6 @ mactual )
        & ( lonely @ sK6 @ mactual )
        & ( barrel @ sK4 @ sK5 @ mactual )
        & ( down @ sK4 @ sK6 @ mactual )
        & ( in @ sK4 @ sK3 @ mactual )
        & ~ ( qmltpeq @ sK7 @ sK8 @ mactual )
        & ( fellow @ sK7 @ mactual )
        & ( man @ sK7 @ mactual )
        & ( young @ sK7 @ mactual )
        & ( fellow @ sK8 @ mactual )
        & ( man @ sK8 @ mactual )
        & ( young @ sK8 @ mactual )
        & ( qmltpeq @ sK7 @ sK9 @ mactual )
        & ( in @ sK9 @ sK1 @ mactual )
        & ( qmltpeq @ sK8 @ sK10 @ mactual )
        & ( in @ sK10 @ sK2 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f411]) ).

thf(f414,plain,
    ( ( ( furniture @ sK2 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f411]) ).

thf(f415,plain,
    ( ( ( ( hollywood @ sK3 @ mactual )
        & ( city @ sK3 @ mactual )
        & ( event @ sK4 @ mactual )
        & ( chevy @ sK5 @ mactual )
        & ( car @ sK5 @ mactual )
        & ( white @ sK5 @ mactual )
        & ( dirty @ sK5 @ mactual )
        & ( old @ sK5 @ mactual )
        & ( street @ sK6 @ mactual )
        & ( way @ sK6 @ mactual )
        & ( lonely @ sK6 @ mactual )
        & ( barrel @ sK4 @ sK5 @ mactual )
        & ( down @ sK4 @ sK6 @ mactual )
        & ( in @ sK4 @ sK3 @ mactual )
        & ~ ( qmltpeq @ sK7 @ sK8 @ mactual )
        & ( fellow @ sK7 @ mactual )
        & ( man @ sK7 @ mactual )
        & ( young @ sK7 @ mactual )
        & ( fellow @ sK8 @ mactual )
        & ( man @ sK8 @ mactual )
        & ( young @ sK8 @ mactual )
        & ( qmltpeq @ sK7 @ sK9 @ mactual )
        & ( in @ sK9 @ sK1 @ mactual )
        & ( qmltpeq @ sK8 @ sK10 @ mactual )
        & ( in @ sK10 @ sK2 @ mactual ) )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f413]) ).

thf(f416,plain,
    ( ( $true
      = ( front @ sK2 @ mactual ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f413]) ).

thf(f417,plain,
    ( ( $true
      = ( ( city @ sK3 @ mactual )
        & ( event @ sK4 @ mactual )
        & ( chevy @ sK5 @ mactual )
        & ( car @ sK5 @ mactual )
        & ( white @ sK5 @ mactual )
        & ( dirty @ sK5 @ mactual )
        & ( old @ sK5 @ mactual )
        & ( street @ sK6 @ mactual )
        & ( way @ sK6 @ mactual )
        & ( lonely @ sK6 @ mactual )
        & ( barrel @ sK4 @ sK5 @ mactual )
        & ( down @ sK4 @ sK6 @ mactual )
        & ( in @ sK4 @ sK3 @ mactual )
        & ~ ( qmltpeq @ sK7 @ sK8 @ mactual )
        & ( fellow @ sK7 @ mactual )
        & ( man @ sK7 @ mactual )
        & ( young @ sK7 @ mactual )
        & ( fellow @ sK8 @ mactual )
        & ( man @ sK8 @ mactual )
        & ( young @ sK8 @ mactual )
        & ( qmltpeq @ sK7 @ sK9 @ mactual )
        & ( in @ sK9 @ sK1 @ mactual )
        & ( qmltpeq @ sK8 @ sK10 @ mactual )
        & ( in @ sK10 @ sK2 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f415]) ).

thf(f418,plain,
    ( ( ( hollywood @ sK3 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f415]) ).

thf(f419,plain,
    ( ( $true
      = ( ( event @ sK4 @ mactual )
        & ( chevy @ sK5 @ mactual )
        & ( car @ sK5 @ mactual )
        & ( white @ sK5 @ mactual )
        & ( dirty @ sK5 @ mactual )
        & ( old @ sK5 @ mactual )
        & ( street @ sK6 @ mactual )
        & ( way @ sK6 @ mactual )
        & ( lonely @ sK6 @ mactual )
        & ( barrel @ sK4 @ sK5 @ mactual )
        & ( down @ sK4 @ sK6 @ mactual )
        & ( in @ sK4 @ sK3 @ mactual )
        & ~ ( qmltpeq @ sK7 @ sK8 @ mactual )
        & ( fellow @ sK7 @ mactual )
        & ( man @ sK7 @ mactual )
        & ( young @ sK7 @ mactual )
        & ( fellow @ sK8 @ mactual )
        & ( man @ sK8 @ mactual )
        & ( young @ sK8 @ mactual )
        & ( qmltpeq @ sK7 @ sK9 @ mactual )
        & ( in @ sK9 @ sK1 @ mactual )
        & ( qmltpeq @ sK8 @ sK10 @ mactual )
        & ( in @ sK10 @ sK2 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f417]) ).

thf(f420,plain,
    ( ( ( city @ sK3 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f417]) ).

thf(f421,plain,
    ( ( $true
      = ( ( chevy @ sK5 @ mactual )
        & ( car @ sK5 @ mactual )
        & ( white @ sK5 @ mactual )
        & ( dirty @ sK5 @ mactual )
        & ( old @ sK5 @ mactual )
        & ( street @ sK6 @ mactual )
        & ( way @ sK6 @ mactual )
        & ( lonely @ sK6 @ mactual )
        & ( barrel @ sK4 @ sK5 @ mactual )
        & ( down @ sK4 @ sK6 @ mactual )
        & ( in @ sK4 @ sK3 @ mactual )
        & ~ ( qmltpeq @ sK7 @ sK8 @ mactual )
        & ( fellow @ sK7 @ mactual )
        & ( man @ sK7 @ mactual )
        & ( young @ sK7 @ mactual )
        & ( fellow @ sK8 @ mactual )
        & ( man @ sK8 @ mactual )
        & ( young @ sK8 @ mactual )
        & ( qmltpeq @ sK7 @ sK9 @ mactual )
        & ( in @ sK9 @ sK1 @ mactual )
        & ( qmltpeq @ sK8 @ sK10 @ mactual )
        & ( in @ sK10 @ sK2 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f419]) ).

thf(f422,plain,
    ( ( ( event @ sK4 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f419]) ).

thf(f423,plain,
    ( ( $true
      = ( ( car @ sK5 @ mactual )
        & ( white @ sK5 @ mactual )
        & ( dirty @ sK5 @ mactual )
        & ( old @ sK5 @ mactual )
        & ( street @ sK6 @ mactual )
        & ( way @ sK6 @ mactual )
        & ( lonely @ sK6 @ mactual )
        & ( barrel @ sK4 @ sK5 @ mactual )
        & ( down @ sK4 @ sK6 @ mactual )
        & ( in @ sK4 @ sK3 @ mactual )
        & ~ ( qmltpeq @ sK7 @ sK8 @ mactual )
        & ( fellow @ sK7 @ mactual )
        & ( man @ sK7 @ mactual )
        & ( young @ sK7 @ mactual )
        & ( fellow @ sK8 @ mactual )
        & ( man @ sK8 @ mactual )
        & ( young @ sK8 @ mactual )
        & ( qmltpeq @ sK7 @ sK9 @ mactual )
        & ( in @ sK9 @ sK1 @ mactual )
        & ( qmltpeq @ sK8 @ sK10 @ mactual )
        & ( in @ sK10 @ sK2 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f421]) ).

thf(f424,plain,
    ( ( $true
      = ( chevy @ sK5 @ mactual ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f421]) ).

thf(f425,plain,
    ( ( $true
      = ( ( white @ sK5 @ mactual )
        & ( dirty @ sK5 @ mactual )
        & ( old @ sK5 @ mactual )
        & ( street @ sK6 @ mactual )
        & ( way @ sK6 @ mactual )
        & ( lonely @ sK6 @ mactual )
        & ( barrel @ sK4 @ sK5 @ mactual )
        & ( down @ sK4 @ sK6 @ mactual )
        & ( in @ sK4 @ sK3 @ mactual )
        & ~ ( qmltpeq @ sK7 @ sK8 @ mactual )
        & ( fellow @ sK7 @ mactual )
        & ( man @ sK7 @ mactual )
        & ( young @ sK7 @ mactual )
        & ( fellow @ sK8 @ mactual )
        & ( man @ sK8 @ mactual )
        & ( young @ sK8 @ mactual )
        & ( qmltpeq @ sK7 @ sK9 @ mactual )
        & ( in @ sK9 @ sK1 @ mactual )
        & ( qmltpeq @ sK8 @ sK10 @ mactual )
        & ( in @ sK10 @ sK2 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f423]) ).

thf(f426,plain,
    ( ( $true
      = ( car @ sK5 @ mactual ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f423]) ).

thf(f427,plain,
    ( ( $true
      = ( ( dirty @ sK5 @ mactual )
        & ( old @ sK5 @ mactual )
        & ( street @ sK6 @ mactual )
        & ( way @ sK6 @ mactual )
        & ( lonely @ sK6 @ mactual )
        & ( barrel @ sK4 @ sK5 @ mactual )
        & ( down @ sK4 @ sK6 @ mactual )
        & ( in @ sK4 @ sK3 @ mactual )
        & ~ ( qmltpeq @ sK7 @ sK8 @ mactual )
        & ( fellow @ sK7 @ mactual )
        & ( man @ sK7 @ mactual )
        & ( young @ sK7 @ mactual )
        & ( fellow @ sK8 @ mactual )
        & ( man @ sK8 @ mactual )
        & ( young @ sK8 @ mactual )
        & ( qmltpeq @ sK7 @ sK9 @ mactual )
        & ( in @ sK9 @ sK1 @ mactual )
        & ( qmltpeq @ sK8 @ sK10 @ mactual )
        & ( in @ sK10 @ sK2 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f425]) ).

thf(f428,plain,
    ( ( ( white @ sK5 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f425]) ).

thf(f429,plain,
    ( ( ( ( old @ sK5 @ mactual )
        & ( street @ sK6 @ mactual )
        & ( way @ sK6 @ mactual )
        & ( lonely @ sK6 @ mactual )
        & ( barrel @ sK4 @ sK5 @ mactual )
        & ( down @ sK4 @ sK6 @ mactual )
        & ( in @ sK4 @ sK3 @ mactual )
        & ~ ( qmltpeq @ sK7 @ sK8 @ mactual )
        & ( fellow @ sK7 @ mactual )
        & ( man @ sK7 @ mactual )
        & ( young @ sK7 @ mactual )
        & ( fellow @ sK8 @ mactual )
        & ( man @ sK8 @ mactual )
        & ( young @ sK8 @ mactual )
        & ( qmltpeq @ sK7 @ sK9 @ mactual )
        & ( in @ sK9 @ sK1 @ mactual )
        & ( qmltpeq @ sK8 @ sK10 @ mactual )
        & ( in @ sK10 @ sK2 @ mactual ) )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f427]) ).

thf(f430,plain,
    ( ( ( dirty @ sK5 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f427]) ).

thf(f431,plain,
    ( ( $true
      = ( ( street @ sK6 @ mactual )
        & ( way @ sK6 @ mactual )
        & ( lonely @ sK6 @ mactual )
        & ( barrel @ sK4 @ sK5 @ mactual )
        & ( down @ sK4 @ sK6 @ mactual )
        & ( in @ sK4 @ sK3 @ mactual )
        & ~ ( qmltpeq @ sK7 @ sK8 @ mactual )
        & ( fellow @ sK7 @ mactual )
        & ( man @ sK7 @ mactual )
        & ( young @ sK7 @ mactual )
        & ( fellow @ sK8 @ mactual )
        & ( man @ sK8 @ mactual )
        & ( young @ sK8 @ mactual )
        & ( qmltpeq @ sK7 @ sK9 @ mactual )
        & ( in @ sK9 @ sK1 @ mactual )
        & ( qmltpeq @ sK8 @ sK10 @ mactual )
        & ( in @ sK10 @ sK2 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f429]) ).

thf(f432,plain,
    ( ( ( old @ sK5 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f429]) ).

thf(f433,plain,
    ( ( $true
      = ( ( way @ sK6 @ mactual )
        & ( lonely @ sK6 @ mactual )
        & ( barrel @ sK4 @ sK5 @ mactual )
        & ( down @ sK4 @ sK6 @ mactual )
        & ( in @ sK4 @ sK3 @ mactual )
        & ~ ( qmltpeq @ sK7 @ sK8 @ mactual )
        & ( fellow @ sK7 @ mactual )
        & ( man @ sK7 @ mactual )
        & ( young @ sK7 @ mactual )
        & ( fellow @ sK8 @ mactual )
        & ( man @ sK8 @ mactual )
        & ( young @ sK8 @ mactual )
        & ( qmltpeq @ sK7 @ sK9 @ mactual )
        & ( in @ sK9 @ sK1 @ mactual )
        & ( qmltpeq @ sK8 @ sK10 @ mactual )
        & ( in @ sK10 @ sK2 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f431]) ).

thf(f434,plain,
    ( ( ( street @ sK6 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f431]) ).

thf(f435,plain,
    ( ( ( ( lonely @ sK6 @ mactual )
        & ( barrel @ sK4 @ sK5 @ mactual )
        & ( down @ sK4 @ sK6 @ mactual )
        & ( in @ sK4 @ sK3 @ mactual )
        & ~ ( qmltpeq @ sK7 @ sK8 @ mactual )
        & ( fellow @ sK7 @ mactual )
        & ( man @ sK7 @ mactual )
        & ( young @ sK7 @ mactual )
        & ( fellow @ sK8 @ mactual )
        & ( man @ sK8 @ mactual )
        & ( young @ sK8 @ mactual )
        & ( qmltpeq @ sK7 @ sK9 @ mactual )
        & ( in @ sK9 @ sK1 @ mactual )
        & ( qmltpeq @ sK8 @ sK10 @ mactual )
        & ( in @ sK10 @ sK2 @ mactual ) )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f433]) ).

thf(f436,plain,
    ( ( $true
      = ( way @ sK6 @ mactual ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f433]) ).

thf(f437,plain,
    ( ( ( ( barrel @ sK4 @ sK5 @ mactual )
        & ( down @ sK4 @ sK6 @ mactual )
        & ( in @ sK4 @ sK3 @ mactual )
        & ~ ( qmltpeq @ sK7 @ sK8 @ mactual )
        & ( fellow @ sK7 @ mactual )
        & ( man @ sK7 @ mactual )
        & ( young @ sK7 @ mactual )
        & ( fellow @ sK8 @ mactual )
        & ( man @ sK8 @ mactual )
        & ( young @ sK8 @ mactual )
        & ( qmltpeq @ sK7 @ sK9 @ mactual )
        & ( in @ sK9 @ sK1 @ mactual )
        & ( qmltpeq @ sK8 @ sK10 @ mactual )
        & ( in @ sK10 @ sK2 @ mactual ) )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f435]) ).

thf(f438,plain,
    ( ( $true
      = ( lonely @ sK6 @ mactual ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f435]) ).

thf(f439,plain,
    ( ( $true
      = ( ( down @ sK4 @ sK6 @ mactual )
        & ( in @ sK4 @ sK3 @ mactual )
        & ~ ( qmltpeq @ sK7 @ sK8 @ mactual )
        & ( fellow @ sK7 @ mactual )
        & ( man @ sK7 @ mactual )
        & ( young @ sK7 @ mactual )
        & ( fellow @ sK8 @ mactual )
        & ( man @ sK8 @ mactual )
        & ( young @ sK8 @ mactual )
        & ( qmltpeq @ sK7 @ sK9 @ mactual )
        & ( in @ sK9 @ sK1 @ mactual )
        & ( qmltpeq @ sK8 @ sK10 @ mactual )
        & ( in @ sK10 @ sK2 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f437]) ).

thf(f440,plain,
    ( ( $true
      = ( barrel @ sK4 @ sK5 @ mactual ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f437]) ).

thf(f441,plain,
    ( ( $true
      = ( ( in @ sK4 @ sK3 @ mactual )
        & ~ ( qmltpeq @ sK7 @ sK8 @ mactual )
        & ( fellow @ sK7 @ mactual )
        & ( man @ sK7 @ mactual )
        & ( young @ sK7 @ mactual )
        & ( fellow @ sK8 @ mactual )
        & ( man @ sK8 @ mactual )
        & ( young @ sK8 @ mactual )
        & ( qmltpeq @ sK7 @ sK9 @ mactual )
        & ( in @ sK9 @ sK1 @ mactual )
        & ( qmltpeq @ sK8 @ sK10 @ mactual )
        & ( in @ sK10 @ sK2 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f439]) ).

thf(f442,plain,
    ( ( $true
      = ( down @ sK4 @ sK6 @ mactual ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f439]) ).

thf(f443,plain,
    ( ( $true
      = ( ~ ( qmltpeq @ sK7 @ sK8 @ mactual )
        & ( fellow @ sK7 @ mactual )
        & ( man @ sK7 @ mactual )
        & ( young @ sK7 @ mactual )
        & ( fellow @ sK8 @ mactual )
        & ( man @ sK8 @ mactual )
        & ( young @ sK8 @ mactual )
        & ( qmltpeq @ sK7 @ sK9 @ mactual )
        & ( in @ sK9 @ sK1 @ mactual )
        & ( qmltpeq @ sK8 @ sK10 @ mactual )
        & ( in @ sK10 @ sK2 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f441]) ).

thf(f444,plain,
    ( ( $true
      = ( in @ sK4 @ sK3 @ mactual ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f441]) ).

thf(f445,plain,
    ( ( ( ( fellow @ sK7 @ mactual )
        & ( man @ sK7 @ mactual )
        & ( young @ sK7 @ mactual )
        & ( fellow @ sK8 @ mactual )
        & ( man @ sK8 @ mactual )
        & ( young @ sK8 @ mactual )
        & ( qmltpeq @ sK7 @ sK9 @ mactual )
        & ( in @ sK9 @ sK1 @ mactual )
        & ( qmltpeq @ sK8 @ sK10 @ mactual )
        & ( in @ sK10 @ sK2 @ mactual ) )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f443]) ).

thf(f446,plain,
    ( ( ( ~ ( qmltpeq @ sK7 @ sK8 @ mactual ) )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f443]) ).

thf(f447,plain,
    ( ( $false
      = ( qmltpeq @ sK7 @ sK8 @ mactual ) )
    | ~ spl0_1 ),
    inference(not_proxy_clausification,[],[f446]) ).

thf(f448,plain,
    ( ( $true
      = ( ( man @ sK7 @ mactual )
        & ( young @ sK7 @ mactual )
        & ( fellow @ sK8 @ mactual )
        & ( man @ sK8 @ mactual )
        & ( young @ sK8 @ mactual )
        & ( qmltpeq @ sK7 @ sK9 @ mactual )
        & ( in @ sK9 @ sK1 @ mactual )
        & ( qmltpeq @ sK8 @ sK10 @ mactual )
        & ( in @ sK10 @ sK2 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f445]) ).

thf(f449,plain,
    ( ( ( fellow @ sK7 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f445]) ).

thf(f450,plain,
    ( ( ( ( young @ sK7 @ mactual )
        & ( fellow @ sK8 @ mactual )
        & ( man @ sK8 @ mactual )
        & ( young @ sK8 @ mactual )
        & ( qmltpeq @ sK7 @ sK9 @ mactual )
        & ( in @ sK9 @ sK1 @ mactual )
        & ( qmltpeq @ sK8 @ sK10 @ mactual )
        & ( in @ sK10 @ sK2 @ mactual ) )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f448]) ).

thf(f451,plain,
    ( ( ( man @ sK7 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f448]) ).

thf(f452,plain,
    ( ( $true
      = ( ( fellow @ sK8 @ mactual )
        & ( man @ sK8 @ mactual )
        & ( young @ sK8 @ mactual )
        & ( qmltpeq @ sK7 @ sK9 @ mactual )
        & ( in @ sK9 @ sK1 @ mactual )
        & ( qmltpeq @ sK8 @ sK10 @ mactual )
        & ( in @ sK10 @ sK2 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f450]) ).

thf(f453,plain,
    ( ( $true
      = ( young @ sK7 @ mactual ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f450]) ).

thf(f454,plain,
    ( ( ( ( man @ sK8 @ mactual )
        & ( young @ sK8 @ mactual )
        & ( qmltpeq @ sK7 @ sK9 @ mactual )
        & ( in @ sK9 @ sK1 @ mactual )
        & ( qmltpeq @ sK8 @ sK10 @ mactual )
        & ( in @ sK10 @ sK2 @ mactual ) )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f452]) ).

thf(f455,plain,
    ( ( $true
      = ( fellow @ sK8 @ mactual ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f452]) ).

thf(f456,plain,
    ( ( ( ( young @ sK8 @ mactual )
        & ( qmltpeq @ sK7 @ sK9 @ mactual )
        & ( in @ sK9 @ sK1 @ mactual )
        & ( qmltpeq @ sK8 @ sK10 @ mactual )
        & ( in @ sK10 @ sK2 @ mactual ) )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f454]) ).

thf(f457,plain,
    ( ( ( man @ sK8 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f454]) ).

thf(f458,plain,
    ( ( $true
      = ( ( qmltpeq @ sK7 @ sK9 @ mactual )
        & ( in @ sK9 @ sK1 @ mactual )
        & ( qmltpeq @ sK8 @ sK10 @ mactual )
        & ( in @ sK10 @ sK2 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f456]) ).

thf(f459,plain,
    ( ( ( young @ sK8 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f456]) ).

thf(f460,plain,
    ( ( ( ( in @ sK9 @ sK1 @ mactual )
        & ( qmltpeq @ sK8 @ sK10 @ mactual )
        & ( in @ sK10 @ sK2 @ mactual ) )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f458]) ).

thf(f461,plain,
    ( ( $true
      = ( qmltpeq @ sK7 @ sK9 @ mactual ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f458]) ).

thf(f462,plain,
    ( ( ( ( qmltpeq @ sK8 @ sK10 @ mactual )
        & ( in @ sK10 @ sK2 @ mactual ) )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f460]) ).

thf(f463,plain,
    ( ( $true
      = ( in @ sK9 @ sK1 @ mactual ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f460]) ).

thf(f464,plain,
    ( ( $true
      = ( in @ sK10 @ sK2 @ mactual ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f462]) ).

thf(f465,plain,
    ( ( $true
      = ( qmltpeq @ sK8 @ sK10 @ mactual ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f462]) ).

thf(f516,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( $false
          = ( in @ X1 @ X0 @ mactual ) )
        | ( ( young @ sK8 @ mactual )
          = $false )
        | ( ( man @ sK7 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( fellow @ sK7 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( ( seat @ X0 @ mactual )
          = $false )
        | ( ( in @ X3 @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ sK8 @ mactual ) )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( $false
          = ( qmltpeq @ sK8 @ X1 @ mactual ) )
        | ( ( man @ sK8 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ sK7 @ mactual ) )
        | ( $false
          = ( fellow @ sK8 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( front @ X0 @ mactual ) )
        | ( $true = $false )
        | ( $false
          = ( qmltpeq @ sK7 @ X3 @ mactual ) )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( $false
          = ( young @ sK7 @ mactual ) ) )
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(superposition,[],[f356,f447]) ).

thf(f517,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( seat @ X0 @ mactual )
          = $false )
        | ( $false
          = ( front @ X0 @ mactual ) )
        | ( ( fellow @ sK7 @ mactual )
          = $false )
        | ( ( in @ X3 @ X2 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ sK8 @ mactual ) )
        | ( ( young @ sK8 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( young @ sK7 @ mactual ) )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK7 @ mactual ) )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( $false
          = ( qmltpeq @ sK7 @ X3 @ mactual ) )
        | ( ( man @ sK8 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( in @ X1 @ X0 @ mactual ) )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ sK8 @ mactual ) )
        | ( $false
          = ( qmltpeq @ sK8 @ X1 @ mactual ) )
        | ( ( man @ sK7 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f516]) ).

thf(f520,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( $false
          = ( eiw_di @ sK8 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( $false
          = ( young @ sK7 @ mactual ) )
        | ( $false
          = ( qmltpeq @ sK8 @ X1 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( man @ sK7 @ mactual )
          = $false )
        | ( ( seat @ X0 @ mactual )
          = $false )
        | ( ( man @ sK8 @ mactual )
          = $false )
        | ( $false
          = ( in @ X1 @ X0 @ mactual ) )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ sK8 @ mactual ) )
        | ( $true = $false )
        | ( ( young @ sK8 @ mactual )
          = $false )
        | ( ( in @ X3 @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ sK7 @ mactual ) )
        | ( $false
          = ( qmltpeq @ sK7 @ X3 @ mactual ) )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( front @ X0 @ mactual ) )
        | ( ( front @ X2 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f517,f449]) ).

thf(f521,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( $false
          = ( eiw_di @ sK7 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ sK8 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK8 @ mactual ) )
        | ( ( young @ sK8 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( $false
          = ( front @ X0 @ mactual ) )
        | ( ( man @ sK8 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( $false
          = ( young @ sK7 @ mactual ) )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( $false
          = ( qmltpeq @ sK7 @ X3 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( in @ X1 @ X0 @ mactual ) )
        | ( $false
          = ( qmltpeq @ sK8 @ X1 @ mactual ) )
        | ( ( seat @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( in @ X3 @ X2 @ mactual )
          = $false )
        | ( ( man @ sK7 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f520]) ).

thf(f524,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( $false
          = ( front @ X0 @ mactual ) )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( seat @ X0 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( $false
          = ( qmltpeq @ sK8 @ X1 @ mactual ) )
        | ( ( man @ sK8 @ mactual )
          = $false )
        | ( ( young @ sK8 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( in @ X3 @ X2 @ mactual )
          = $false )
        | ( $true = $false )
        | ( $false
          = ( in @ X1 @ X0 @ mactual ) )
        | ( $false
          = ( fellow @ sK8 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK8 @ mactual ) )
        | ( ( man @ sK7 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( qmltpeq @ sK7 @ X3 @ mactual ) )
        | ( $false
          = ( young @ sK7 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( furniture @ X0 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f521,f380]) ).

thf(f525,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( front @ X2 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( young @ sK7 @ mactual ) )
        | ( ( seat @ X0 @ mactual )
          = $false )
        | ( ( young @ sK8 @ mactual )
          = $false )
        | ( $false
          = ( in @ X1 @ X0 @ mactual ) )
        | ( $false
          = ( qmltpeq @ sK7 @ X3 @ mactual ) )
        | ( $false
          = ( qmltpeq @ sK8 @ X1 @ mactual ) )
        | ( $false
          = ( front @ X0 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ sK8 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( man @ sK8 @ mactual )
          = $false )
        | ( ( man @ sK7 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ sK8 @ mactual ) )
        | ( ( in @ X3 @ X2 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( furniture @ X0 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f524]) ).

thf(f528,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( $false
          = ( eiw_di @ sK8 @ mactual ) )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( man @ sK8 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ sK8 @ mactual ) )
        | ( ( in @ X3 @ X2 @ mactual )
          = $false )
        | ( $false
          = ( front @ X0 @ mactual ) )
        | ( $false
          = ( in @ X1 @ X0 @ mactual ) )
        | ( ( young @ sK8 @ mactual )
          = $false )
        | ( $false
          = ( qmltpeq @ sK7 @ X3 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $true = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( seat @ X0 @ mactual )
          = $false )
        | ( $false
          = ( qmltpeq @ sK8 @ X1 @ mactual ) )
        | ( ( man @ sK7 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f525,f453]) ).

thf(f529,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( man @ sK8 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( young @ sK8 @ mactual )
          = $false )
        | ( ( seat @ X0 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( fellow @ sK8 @ mactual ) )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( ( man @ sK7 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( $false
          = ( in @ X1 @ X0 @ mactual ) )
        | ( $false
          = ( qmltpeq @ sK7 @ X3 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK8 @ mactual ) )
        | ( $false
          = ( front @ X0 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( qmltpeq @ sK8 @ X1 @ mactual ) )
        | ( ( in @ X3 @ X2 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f528]) ).

thf(f532,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( in @ X3 @ X2 @ mactual )
          = $false )
        | ( ( man @ sK8 @ mactual )
          = $false )
        | ( $true = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( seat @ X0 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( front @ X0 @ mactual ) )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( $false
          = ( fellow @ sK8 @ mactual ) )
        | ( $false
          = ( in @ X1 @ X0 @ mactual ) )
        | ( $false
          = ( qmltpeq @ sK7 @ X3 @ mactual ) )
        | ( $false
          = ( qmltpeq @ sK8 @ X1 @ mactual ) )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK8 @ mactual ) )
        | ( ( young @ sK8 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f529,f451]) ).

thf(f533,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( $false
          = ( qmltpeq @ sK8 @ X1 @ mactual ) )
        | ( $false
          = ( front @ X0 @ mactual ) )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( qmltpeq @ sK7 @ X3 @ mactual ) )
        | ( ( seat @ X0 @ mactual )
          = $false )
        | ( ( young @ sK8 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ sK8 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK8 @ mactual ) )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( in @ X3 @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( man @ sK8 @ mactual )
          = $false )
        | ( $false
          = ( in @ X1 @ X0 @ mactual ) ) )
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f532]) ).

thf(f536,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $true = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( young @ sK8 @ mactual )
          = $false )
        | ( ( in @ X3 @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( $false
          = ( fellow @ sK8 @ mactual ) )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( $false
          = ( front @ X0 @ mactual ) )
        | ( ( seat @ X0 @ mactual )
          = $false )
        | ( $false
          = ( in @ X1 @ X0 @ mactual ) )
        | ( ( man @ sK8 @ mactual )
          = $false )
        | ( $false
          = ( qmltpeq @ sK8 @ X1 @ mactual ) )
        | ( $false
          = ( qmltpeq @ sK7 @ X3 @ mactual ) ) )
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f533,f388]) ).

thf(f537,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( $false
          = ( qmltpeq @ sK7 @ X3 @ mactual ) )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( front @ X0 @ mactual ) )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( man @ sK8 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ sK8 @ mactual ) )
        | ( $false
          = ( qmltpeq @ sK8 @ X1 @ mactual ) )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( ( young @ sK8 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( ( seat @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( in @ X3 @ X2 @ mactual )
          = $false )
        | ( $false
          = ( in @ X1 @ X0 @ mactual ) ) )
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f536]) ).

thf(f542,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( $false
          = ( front @ X0 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( $false
          = ( qmltpeq @ sK7 @ X3 @ mactual ) )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( seat @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( ( in @ X3 @ X2 @ mactual )
          = $false )
        | ( $false
          = ( qmltpeq @ sK8 @ X1 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $true = $false )
        | ( $false
          = ( in @ X1 @ X0 @ mactual ) )
        | ( ( man @ sK8 @ mactual )
          = $false )
        | ( ( young @ sK8 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) ) )
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f537,f455]) ).

thf(f543,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( man @ sK8 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( ( seat @ X0 @ mactual )
          = $false )
        | ( ( in @ X3 @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( front @ X0 @ mactual ) )
        | ( ( young @ sK8 @ mactual )
          = $false )
        | ( $false
          = ( in @ X1 @ X0 @ mactual ) )
        | ( $false
          = ( qmltpeq @ sK8 @ X1 @ mactual ) )
        | ( $false
          = ( qmltpeq @ sK7 @ X3 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X2 @ mactual ) ) )
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f542]) ).

thf(f546,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( $true = $false )
        | ( ( in @ X3 @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( in @ X1 @ X0 @ mactual ) )
        | ( $false
          = ( qmltpeq @ sK8 @ X1 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( front @ X0 @ mactual ) )
        | ( $false
          = ( qmltpeq @ sK7 @ X3 @ mactual ) )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( ( seat @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( young @ sK8 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f543,f457]) ).

thf(f547,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( in @ X3 @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( front @ X0 @ mactual ) )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( qmltpeq @ sK8 @ X1 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( seat @ X0 @ mactual )
          = $false )
        | ( $false
          = ( qmltpeq @ sK7 @ X3 @ mactual ) )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( in @ X1 @ X0 @ mactual ) )
        | ( ( young @ sK8 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f546]) ).

thf(f550,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( furniture @ X0 @ mactual )
          = $false )
        | ( ( seat @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( in @ X3 @ X2 @ mactual )
          = $false )
        | ( $true = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( qmltpeq @ sK8 @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( in @ X1 @ X0 @ mactual ) )
        | ( $false
          = ( front @ X0 @ mactual ) )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( $false
          = ( qmltpeq @ sK7 @ X3 @ mactual ) ) )
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f547,f459]) ).

thf(f551,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( in @ X3 @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( qmltpeq @ sK7 @ X3 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( seat @ X0 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( $false
          = ( front @ X0 @ mactual ) )
        | ( $false
          = ( qmltpeq @ sK8 @ X1 @ mactual ) )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( $false
          = ( in @ X1 @ X0 @ mactual ) ) )
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f550]) ).

thf(f555,definition,
    ( spl0_5
  <=> ! [X2: $i,X3: $i] :
        ( ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( qmltpeq @ sK7 @ X3 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( in @ X3 @ X2 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

thf(f556,plain,
    ( ! [X2: $i,X3: $i] :
        ( ( $false
          = ( qmltpeq @ sK7 @ X3 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( in @ X3 @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( $false
          = ( furniture @ X2 @ mactual ) ) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f555]) ).

thf(f558,definition,
    ( spl0_6
  <=> ! [X0: $i,X1: $i] :
        ( ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( $false
          = ( front @ X0 @ mactual ) )
        | ( ( seat @ X0 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( in @ X1 @ X0 @ mactual ) )
        | ( $false
          = ( qmltpeq @ sK8 @ X1 @ mactual ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

thf(f559,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( qmltpeq @ sK8 @ X1 @ mactual ) )
        | ( $false
          = ( front @ X0 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( ( seat @ X0 @ mactual )
          = $false )
        | ( $false
          = ( in @ X1 @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) ) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f558]) ).

thf(f560,plain,
    ( spl0_5
    | spl0_6
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f551,f355,f223,f558,f555]) ).

thf(f567,plain,
    ( ! [X0: $i] :
        ( ( ( in @ sK9 @ X0 @ mactual )
          = $false )
        | ( $false
          = ( front @ X0 @ mactual ) )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $true = $false )
        | ( ( eiw_di @ sK9 @ mactual )
          = $false )
        | ( ( seat @ X0 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(superposition,[],[f461,f556]) ).

thf(f570,plain,
    ( ! [X0: $i] :
        ( ( ( in @ sK9 @ X0 @ mactual )
          = $false )
        | ( $false
          = ( front @ X0 @ mactual ) )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ sK9 @ mactual )
          = $false )
        | ( ( seat @ X0 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f567]) ).

thf(f575,plain,
    ( ! [X0: $i] :
        ( ( ( in @ sK9 @ X0 @ mactual )
          = $false )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( $true = $false )
        | ( ( seat @ X0 @ mactual )
          = $false )
        | ( $false
          = ( front @ X0 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f570,f396]) ).

thf(f576,plain,
    ( ! [X0: $i] :
        ( ( ( in @ sK9 @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( seat @ X0 @ mactual )
          = $false )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( $false
          = ( front @ X0 @ mactual ) ) )
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f575]) ).

thf(f583,plain,
    ( ( ( front @ sK1 @ mactual )
      = $false )
    | ( ( seat @ sK1 @ mactual )
      = $false )
    | ( ( eiw_di @ sK1 @ mactual )
      = $false )
    | ( $false
      = ( furniture @ sK1 @ mactual ) )
    | ( $true = $false )
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(superposition,[],[f576,f463]) ).

thf(f586,plain,
    ( ( $false
      = ( furniture @ sK1 @ mactual ) )
    | ( ( seat @ sK1 @ mactual )
      = $false )
    | ( ( front @ sK1 @ mactual )
      = $false )
    | ( ( eiw_di @ sK1 @ mactual )
      = $false )
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f583]) ).

thf(f589,plain,
    ( ( ( eiw_di @ sK1 @ mactual )
      = $false )
    | ( $true = $false )
    | ( ( seat @ sK1 @ mactual )
      = $false )
    | ( ( front @ sK1 @ mactual )
      = $false )
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f586,f408]) ).

thf(f590,plain,
    ( ( ( eiw_di @ sK1 @ mactual )
      = $false )
    | ( ( seat @ sK1 @ mactual )
      = $false )
    | ( ( front @ sK1 @ mactual )
      = $false )
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f589]) ).

thf(f593,plain,
    ( ( ( front @ sK1 @ mactual )
      = $false )
    | ( $true = $false )
    | ( ( seat @ sK1 @ mactual )
      = $false )
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f590,f236]) ).

thf(f594,plain,
    ( ( ( seat @ sK1 @ mactual )
      = $false )
    | ( ( front @ sK1 @ mactual )
      = $false )
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f593]) ).

thf(f597,plain,
    ( ( ( front @ sK1 @ mactual )
      = $false )
    | ( $true = $false )
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f594,f406]) ).

thf(f598,plain,
    ( ( ( front @ sK1 @ mactual )
      = $false )
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f597]) ).

thf(f601,plain,
    ( ( $true = $false )
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(superposition,[],[f598,f410]) ).

thf(f606,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f601]) ).

thf(f607,plain,
    ( ~ spl0_1
    | ~ spl0_5 ),
    inference(avatar_contradiction_clause,[],[f606]) ).

thf(f616,plain,
    ( ! [X0: $i] :
        ( ( $true = $false )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( $false
          = ( front @ X0 @ mactual ) )
        | ( ( eiw_di @ sK10 @ mactual )
          = $false )
        | ( ( seat @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( in @ sK10 @ X0 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(superposition,[],[f559,f465]) ).

thf(f624,plain,
    ( ! [X0: $i] :
        ( ( $false
          = ( front @ X0 @ mactual ) )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( seat @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ sK10 @ mactual )
          = $false )
        | ( ( in @ sK10 @ X0 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(trivial_inequality_removal,[],[f616]) ).

thf(f627,plain,
    ( ! [X0: $i] :
        ( ( ( furniture @ X0 @ mactual )
          = $false )
        | ( ( seat @ X0 @ mactual )
          = $false )
        | ( $false
          = ( front @ X0 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( in @ sK10 @ X0 @ mactual )
          = $false )
        | ( $true = $false ) )
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f624,f404]) ).

thf(f628,plain,
    ( ! [X0: $i] :
        ( ( ( in @ sK10 @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( seat @ X0 @ mactual )
          = $false )
        | ( $false
          = ( front @ X0 @ mactual ) )
        | ( ( furniture @ X0 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(trivial_inequality_removal,[],[f627]) ).

thf(f631,plain,
    ( ( $false
      = ( front @ sK2 @ mactual ) )
    | ( ( seat @ sK2 @ mactual )
      = $false )
    | ( ( furniture @ sK2 @ mactual )
      = $false )
    | ( $true = $false )
    | ( ( eiw_di @ sK2 @ mactual )
      = $false )
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(superposition,[],[f628,f464]) ).

thf(f634,plain,
    ( ( ( eiw_di @ sK2 @ mactual )
      = $false )
    | ( ( seat @ sK2 @ mactual )
      = $false )
    | ( ( furniture @ sK2 @ mactual )
      = $false )
    | ( $false
      = ( front @ sK2 @ mactual ) )
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(trivial_inequality_removal,[],[f631]) ).

thf(f637,plain,
    ( ( $false
      = ( front @ sK2 @ mactual ) )
    | ( ( furniture @ sK2 @ mactual )
      = $false )
    | ( ( seat @ sK2 @ mactual )
      = $false )
    | ( $true = $false )
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f634,f246]) ).

thf(f638,plain,
    ( ( $false
      = ( front @ sK2 @ mactual ) )
    | ( ( furniture @ sK2 @ mactual )
      = $false )
    | ( ( seat @ sK2 @ mactual )
      = $false )
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(trivial_inequality_removal,[],[f637]) ).

thf(f641,plain,
    ( ( $true = $false )
    | ( ( furniture @ sK2 @ mactual )
      = $false )
    | ( ( seat @ sK2 @ mactual )
      = $false )
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f638,f416]) ).

thf(f642,plain,
    ( ( ( seat @ sK2 @ mactual )
      = $false )
    | ( ( furniture @ sK2 @ mactual )
      = $false )
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(trivial_inequality_removal,[],[f641]) ).

thf(f645,plain,
    ( ( ( furniture @ sK2 @ mactual )
      = $false )
    | ( $true = $false )
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f642,f412]) ).

thf(f646,plain,
    ( ( ( furniture @ sK2 @ mactual )
      = $false )
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(trivial_inequality_removal,[],[f645]) ).

thf(f651,plain,
    ( ( $true = $false )
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(superposition,[],[f414,f646]) ).

thf(f655,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(trivial_inequality_removal,[],[f651]) ).

thf(f656,plain,
    ( ~ spl0_1
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f655]) ).

thf(f657,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( hollywood @ X1 @ mactual )
          = $false )
        | ( ( car @ X0 @ mactual )
          = $false )
        | ( $false
          = ( chevy @ X0 @ mactual ) )
        | ( ( city @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ sK4 @ mactual ) )
        | ( ( event @ sK4 @ mactual )
          = $false )
        | ( $false
          = ( lonely @ sK6 @ mactual ) )
        | ( ( street @ sK6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( barrel @ sK4 @ X0 @ mactual ) )
        | ( $false
          = ( way @ sK6 @ mactual ) )
        | ( $false
          = ( white @ X0 @ mactual ) )
        | ( $false
          = ( in @ sK4 @ X1 @ mactual ) )
        | ( $false
          = ( old @ X0 @ mactual ) )
        | ( $false
          = ( dirty @ X0 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $true = $false )
        | ( ( eiw_di @ sK6 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(superposition,[],[f359,f442]) ).

thf(f661,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( old @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK4 @ mactual ) )
        | ( ( city @ X1 @ mactual )
          = $false )
        | ( $false
          = ( lonely @ sK6 @ mactual ) )
        | ( $false
          = ( chevy @ X0 @ mactual ) )
        | ( $false
          = ( white @ X0 @ mactual ) )
        | ( $false
          = ( in @ sK4 @ X1 @ mactual ) )
        | ( ( eiw_di @ sK6 @ mactual )
          = $false )
        | ( $false
          = ( dirty @ X0 @ mactual ) )
        | ( $false
          = ( barrel @ sK4 @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( event @ sK4 @ mactual )
          = $false )
        | ( $false
          = ( way @ sK6 @ mactual ) )
        | ( ( hollywood @ X1 @ mactual )
          = $false )
        | ( ( car @ X0 @ mactual )
          = $false )
        | ( ( street @ sK6 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f657]) ).

thf(f663,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( dirty @ X0 @ mactual ) )
        | ( ( event @ sK4 @ mactual )
          = $false )
        | ( ( car @ X0 @ mactual )
          = $false )
        | ( ( city @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( way @ sK6 @ mactual ) )
        | ( $true = $false )
        | ( ( eiw_di @ sK6 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( old @ X0 @ mactual ) )
        | ( $false
          = ( barrel @ sK4 @ X0 @ mactual ) )
        | ( ( street @ sK6 @ mactual )
          = $false )
        | ( $false
          = ( chevy @ X0 @ mactual ) )
        | ( ( hollywood @ X1 @ mactual )
          = $false )
        | ( $false
          = ( in @ sK4 @ X1 @ mactual ) )
        | ( $false
          = ( white @ X0 @ mactual ) )
        | ( $false
          = ( lonely @ sK6 @ mactual ) ) )
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f661,f282]) ).

thf(f664,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( in @ sK4 @ X1 @ mactual ) )
        | ( $false
          = ( barrel @ sK4 @ X0 @ mactual ) )
        | ( ( hollywood @ X1 @ mactual )
          = $false )
        | ( $false
          = ( dirty @ X0 @ mactual ) )
        | ( $false
          = ( chevy @ X0 @ mactual ) )
        | ( $false
          = ( white @ X0 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( city @ X1 @ mactual )
          = $false )
        | ( $false
          = ( way @ sK6 @ mactual ) )
        | ( ( event @ sK4 @ mactual )
          = $false )
        | ( $false
          = ( old @ X0 @ mactual ) )
        | ( ( street @ sK6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ sK6 @ mactual )
          = $false )
        | ( ( car @ X0 @ mactual )
          = $false )
        | ( $false
          = ( lonely @ sK6 @ mactual ) ) )
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f663]) ).

thf(f667,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( barrel @ sK4 @ X0 @ mactual ) )
        | ( $false
          = ( dirty @ X0 @ mactual ) )
        | ( $false
          = ( old @ X0 @ mactual ) )
        | ( $true = $false )
        | ( $false
          = ( chevy @ X0 @ mactual ) )
        | ( ( event @ sK4 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ sK6 @ mactual )
          = $false )
        | ( $false
          = ( lonely @ sK6 @ mactual ) )
        | ( ( city @ X1 @ mactual )
          = $false )
        | ( ( car @ X0 @ mactual )
          = $false )
        | ( $false
          = ( in @ sK4 @ X1 @ mactual ) )
        | ( ( hollywood @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( white @ X0 @ mactual ) )
        | ( ( street @ sK6 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f664,f436]) ).

thf(f668,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( in @ sK4 @ X1 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( lonely @ sK6 @ mactual ) )
        | ( ( street @ sK6 @ mactual )
          = $false )
        | ( $false
          = ( old @ X0 @ mactual ) )
        | ( ( hollywood @ X1 @ mactual )
          = $false )
        | ( $false
          = ( barrel @ sK4 @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( event @ sK4 @ mactual )
          = $false )
        | ( $false
          = ( chevy @ X0 @ mactual ) )
        | ( $false
          = ( white @ X0 @ mactual ) )
        | ( ( city @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ sK6 @ mactual )
          = $false )
        | ( ( car @ X0 @ mactual )
          = $false )
        | ( $false
          = ( dirty @ X0 @ mactual ) ) )
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f667]) ).

thf(f671,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( city @ X1 @ mactual )
          = $false )
        | ( $false
          = ( dirty @ X0 @ mactual ) )
        | ( ( eiw_di @ sK6 @ mactual )
          = $false )
        | ( ( hollywood @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( chevy @ X0 @ mactual ) )
        | ( $false
          = ( old @ X0 @ mactual ) )
        | ( ( event @ sK4 @ mactual )
          = $false )
        | ( $false
          = ( in @ sK4 @ X1 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( car @ X0 @ mactual )
          = $false )
        | ( $false
          = ( barrel @ sK4 @ X0 @ mactual ) )
        | ( $false
          = ( white @ X0 @ mactual ) )
        | ( $true = $false )
        | ( ( street @ sK6 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f668,f438]) ).

thf(f672,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( old @ X0 @ mactual ) )
        | ( $false
          = ( dirty @ X0 @ mactual ) )
        | ( $false
          = ( white @ X0 @ mactual ) )
        | ( $false
          = ( in @ sK4 @ X1 @ mactual ) )
        | ( ( event @ sK4 @ mactual )
          = $false )
        | ( $false
          = ( barrel @ sK4 @ X0 @ mactual ) )
        | ( $false
          = ( chevy @ X0 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( hollywood @ X1 @ mactual )
          = $false )
        | ( ( street @ sK6 @ mactual )
          = $false )
        | ( ( city @ X1 @ mactual )
          = $false )
        | ( ( car @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ sK6 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f671]) ).

thf(f675,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( hollywood @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ sK6 @ mactual )
          = $false )
        | ( $false
          = ( dirty @ X0 @ mactual ) )
        | ( $false
          = ( white @ X0 @ mactual ) )
        | ( $false
          = ( in @ sK4 @ X1 @ mactual ) )
        | ( $true = $false )
        | ( $false
          = ( old @ X0 @ mactual ) )
        | ( $false
          = ( barrel @ sK4 @ X0 @ mactual ) )
        | ( ( car @ X0 @ mactual )
          = $false )
        | ( ( street @ sK6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( chevy @ X0 @ mactual ) )
        | ( ( city @ X1 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f672,f422]) ).

thf(f676,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( car @ X0 @ mactual )
          = $false )
        | ( $false
          = ( old @ X0 @ mactual ) )
        | ( $false
          = ( in @ sK4 @ X1 @ mactual ) )
        | ( ( hollywood @ X1 @ mactual )
          = $false )
        | ( ( street @ sK6 @ mactual )
          = $false )
        | ( ( city @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ sK6 @ mactual )
          = $false )
        | ( $false
          = ( barrel @ sK4 @ X0 @ mactual ) )
        | ( $false
          = ( white @ X0 @ mactual ) )
        | ( $false
          = ( chevy @ X0 @ mactual ) )
        | ( $false
          = ( dirty @ X0 @ mactual ) ) )
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f675]) ).

thf(f679,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( old @ X0 @ mactual ) )
        | ( $true = $false )
        | ( $false
          = ( chevy @ X0 @ mactual ) )
        | ( ( city @ X1 @ mactual )
          = $false )
        | ( ( hollywood @ X1 @ mactual )
          = $false )
        | ( $false
          = ( in @ sK4 @ X1 @ mactual ) )
        | ( ( car @ X0 @ mactual )
          = $false )
        | ( $false
          = ( barrel @ sK4 @ X0 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ sK6 @ mactual )
          = $false )
        | ( $false
          = ( white @ X0 @ mactual ) )
        | ( $false
          = ( dirty @ X0 @ mactual ) ) )
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f676,f434]) ).

thf(f680,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( old @ X0 @ mactual ) )
        | ( ( hollywood @ X1 @ mactual )
          = $false )
        | ( ( car @ X0 @ mactual )
          = $false )
        | ( $false
          = ( barrel @ sK4 @ X0 @ mactual ) )
        | ( ( eiw_di @ sK6 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( city @ X1 @ mactual )
          = $false )
        | ( $false
          = ( dirty @ X0 @ mactual ) )
        | ( $false
          = ( in @ sK4 @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( chevy @ X0 @ mactual ) )
        | ( $false
          = ( white @ X0 @ mactual ) ) )
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f679]) ).

thf(f683,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( barrel @ sK4 @ X0 @ mactual ) )
        | ( $false
          = ( chevy @ X0 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( white @ X0 @ mactual ) )
        | ( ( car @ X0 @ mactual )
          = $false )
        | ( ( hollywood @ X1 @ mactual )
          = $false )
        | ( $false
          = ( dirty @ X0 @ mactual ) )
        | ( ( city @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $true = $false )
        | ( $false
          = ( in @ sK4 @ X1 @ mactual ) )
        | ( $false
          = ( old @ X0 @ mactual ) ) )
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f680,f372]) ).

thf(f684,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( old @ X0 @ mactual ) )
        | ( $false
          = ( dirty @ X0 @ mactual ) )
        | ( $false
          = ( chevy @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( city @ X1 @ mactual )
          = $false )
        | ( $false
          = ( in @ sK4 @ X1 @ mactual ) )
        | ( ( car @ X0 @ mactual )
          = $false )
        | ( $false
          = ( barrel @ sK4 @ X0 @ mactual ) )
        | ( ( hollywood @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( white @ X0 @ mactual ) ) )
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f683]) ).

thf(f688,definition,
    ( spl0_7
  <=> ! [X1: $i] :
        ( ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( hollywood @ X1 @ mactual )
          = $false )
        | ( $false
          = ( in @ sK4 @ X1 @ mactual ) )
        | ( ( city @ X1 @ mactual )
          = $false ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

thf(f689,plain,
    ( ! [X1: $i] :
        ( ( $false
          = ( in @ sK4 @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( hollywood @ X1 @ mactual )
          = $false )
        | ( ( city @ X1 @ mactual )
          = $false ) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f688]) ).

thf(f691,definition,
    ( spl0_8
  <=> ! [X0: $i] :
        ( ( $false
          = ( old @ X0 @ mactual ) )
        | ( $false
          = ( white @ X0 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( barrel @ sK4 @ X0 @ mactual ) )
        | ( ( car @ X0 @ mactual )
          = $false )
        | ( $false
          = ( chevy @ X0 @ mactual ) )
        | ( $false
          = ( dirty @ X0 @ mactual ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

thf(f692,plain,
    ( ! [X0: $i] :
        ( ( $false
          = ( barrel @ sK4 @ X0 @ mactual ) )
        | ( $false
          = ( white @ X0 @ mactual ) )
        | ( ( car @ X0 @ mactual )
          = $false )
        | ( $false
          = ( chevy @ X0 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( dirty @ X0 @ mactual ) )
        | ( $false
          = ( old @ X0 @ mactual ) ) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f691]) ).

thf(f693,plain,
    ( spl0_7
    | spl0_8
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f684,f358,f223,f691,f688]) ).

thf(f694,plain,
    ( ( ( hollywood @ sK3 @ mactual )
      = $false )
    | ( ( eiw_di @ sK3 @ mactual )
      = $false )
    | ( ( city @ sK3 @ mactual )
      = $false )
    | ( $true = $false )
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(superposition,[],[f689,f444]) ).

thf(f698,plain,
    ( ( ( eiw_di @ sK3 @ mactual )
      = $false )
    | ( ( city @ sK3 @ mactual )
      = $false )
    | ( ( hollywood @ sK3 @ mactual )
      = $false )
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(trivial_inequality_removal,[],[f694]) ).

thf(f700,plain,
    ( ( ( hollywood @ sK3 @ mactual )
      = $false )
    | ( $true = $false )
    | ( ( city @ sK3 @ mactual )
      = $false )
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f698,f264]) ).

thf(f701,plain,
    ( ( ( hollywood @ sK3 @ mactual )
      = $false )
    | ( ( city @ sK3 @ mactual )
      = $false )
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(trivial_inequality_removal,[],[f700]) ).

thf(f704,plain,
    ( ( ( city @ sK3 @ mactual )
      = $false )
    | ( $true = $false )
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f701,f418]) ).

thf(f705,plain,
    ( ( ( city @ sK3 @ mactual )
      = $false )
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(trivial_inequality_removal,[],[f704]) ).

thf(f708,plain,
    ( ( $true = $false )
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(superposition,[],[f705,f420]) ).

thf(f714,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(trivial_inequality_removal,[],[f708]) ).

thf(f715,plain,
    ( ~ spl0_1
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f714]) ).

thf(f718,plain,
    ( ( ( eiw_di @ sK5 @ mactual )
      = $false )
    | ( ( dirty @ sK5 @ mactual )
      = $false )
    | ( $true = $false )
    | ( $false
      = ( chevy @ sK5 @ mactual ) )
    | ( ( white @ sK5 @ mactual )
      = $false )
    | ( $false
      = ( car @ sK5 @ mactual ) )
    | ( ( old @ sK5 @ mactual )
      = $false )
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(superposition,[],[f440,f692]) ).

thf(f719,plain,
    ( ( ( old @ sK5 @ mactual )
      = $false )
    | ( ( white @ sK5 @ mactual )
      = $false )
    | ( $false
      = ( chevy @ sK5 @ mactual ) )
    | ( ( eiw_di @ sK5 @ mactual )
      = $false )
    | ( ( dirty @ sK5 @ mactual )
      = $false )
    | ( $false
      = ( car @ sK5 @ mactual ) )
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f718]) ).

thf(f722,plain,
    ( ( ( dirty @ sK5 @ mactual )
      = $false )
    | ( ( white @ sK5 @ mactual )
      = $false )
    | ( $false
      = ( car @ sK5 @ mactual ) )
    | ( $true = $false )
    | ( ( eiw_di @ sK5 @ mactual )
      = $false )
    | ( $false
      = ( chevy @ sK5 @ mactual ) )
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f719,f432]) ).

thf(f723,plain,
    ( ( ( eiw_di @ sK5 @ mactual )
      = $false )
    | ( ( dirty @ sK5 @ mactual )
      = $false )
    | ( $false
      = ( car @ sK5 @ mactual ) )
    | ( $false
      = ( chevy @ sK5 @ mactual ) )
    | ( ( white @ sK5 @ mactual )
      = $false )
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f722]) ).

thf(f726,plain,
    ( ( $true = $false )
    | ( $false
      = ( chevy @ sK5 @ mactual ) )
    | ( ( dirty @ sK5 @ mactual )
      = $false )
    | ( $false
      = ( car @ sK5 @ mactual ) )
    | ( ( white @ sK5 @ mactual )
      = $false )
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f723,f300]) ).

thf(f727,plain,
    ( ( $false
      = ( chevy @ sK5 @ mactual ) )
    | ( ( dirty @ sK5 @ mactual )
      = $false )
    | ( ( white @ sK5 @ mactual )
      = $false )
    | ( $false
      = ( car @ sK5 @ mactual ) )
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f726]) ).

thf(f730,plain,
    ( ( ( white @ sK5 @ mactual )
      = $false )
    | ( $true = $false )
    | ( $false
      = ( car @ sK5 @ mactual ) )
    | ( ( dirty @ sK5 @ mactual )
      = $false )
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f727,f424]) ).

thf(f731,plain,
    ( ( $false
      = ( car @ sK5 @ mactual ) )
    | ( ( dirty @ sK5 @ mactual )
      = $false )
    | ( ( white @ sK5 @ mactual )
      = $false )
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f730]) ).

thf(f734,plain,
    ( ( ( white @ sK5 @ mactual )
      = $false )
    | ( ( dirty @ sK5 @ mactual )
      = $false )
    | ( $true = $false )
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f731,f426]) ).

thf(f735,plain,
    ( ( ( white @ sK5 @ mactual )
      = $false )
    | ( ( dirty @ sK5 @ mactual )
      = $false )
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f734]) ).

thf(f738,plain,
    ( ( $true = $false )
    | ( ( dirty @ sK5 @ mactual )
      = $false )
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f735,f428]) ).

thf(f739,plain,
    ( ( ( dirty @ sK5 @ mactual )
      = $false )
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f738]) ).

thf(f744,plain,
    ( ( $true = $false )
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(superposition,[],[f430,f739]) ).

thf(f748,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f744]) ).

thf(f749,plain,
    ( ~ spl0_1
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f748]) ).

thf(f750,plain,
    ( ! [X1: $i] :
        ( $false
        = ( ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ?? @ $i
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( ?? @ $i
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ mactual )
                                      & ( ?? @ $i
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ mactual )
                                            & ( ?? @ $i
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ mactual )
                                                  & ( ?? @ $i
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ mactual )
                                                        & ( ?? @ $i
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ mactual )
                                                              & ( ?? @ $i
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ mactual )
                                                                    & ( seat @ Y0 @ mactual )
                                                                    & ( furniture @ Y0 @ mactual )
                                                                    & ( front @ Y0 @ mactual )
                                                                    & ( seat @ Y1 @ mactual )
                                                                    & ( furniture @ Y1 @ mactual )
                                                                    & ( front @ Y1 @ mactual )
                                                                    & ( hollywood @ Y2 @ mactual )
                                                                    & ( city @ Y2 @ mactual )
                                                                    & ( event @ Y3 @ mactual )
                                                                    & ( chevy @ Y4 @ mactual )
                                                                    & ( car @ Y4 @ mactual )
                                                                    & ( white @ Y4 @ mactual )
                                                                    & ( dirty @ Y4 @ mactual )
                                                                    & ( old @ Y4 @ mactual )
                                                                    & ( street @ Y5 @ mactual )
                                                                    & ( way @ Y5 @ mactual )
                                                                    & ( lonely @ Y5 @ mactual )
                                                                    & ( barrel @ Y3 @ Y4 @ mactual )
                                                                    & ( down @ Y3 @ Y5 @ mactual )
                                                                    & ( in @ Y3 @ Y2 @ mactual )
                                                                    & ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
                                                                    & ( fellow @ Y6 @ mactual )
                                                                    & ( man @ Y6 @ mactual )
                                                                    & ( young @ Y6 @ mactual )
                                                                    & ( fellow @ Y7 @ mactual )
                                                                    & ( man @ Y7 @ mactual )
                                                                    & ( young @ Y7 @ mactual )
                                                                    & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                    & ( in @ Y8 @ Y0 @ mactual )
                                                                    & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                    & ( in @ Y9 @ Y1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
          @ X1 ) )
    | spl0_1 ),
    inference(pi_proxy_clausification,[],[f224]) ).

thf(f753,plain,
    ( ! [X1: $i] :
        ( ( ( eiw_di @ X1 @ mactual )
          & ( ?? @ $i
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ mactual )
                & ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ mactual )
                      & ( ?? @ $i
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ mactual )
                            & ( ?? @ $i
                              @ ^ [Y3: $i] :
                                  ( ( eiw_di @ Y3 @ mactual )
                                  & ( ?? @ $i
                                    @ ^ [Y4: $i] :
                                        ( ( eiw_di @ Y4 @ mactual )
                                        & ( ?? @ $i
                                          @ ^ [Y5: $i] :
                                              ( ( eiw_di @ Y5 @ mactual )
                                              & ( ?? @ $i
                                                @ ^ [Y6: $i] :
                                                    ( ( eiw_di @ Y6 @ mactual )
                                                    & ( ?? @ $i
                                                      @ ^ [Y7: $i] :
                                                          ( ( eiw_di @ Y7 @ mactual )
                                                          & ( ?? @ $i
                                                            @ ^ [Y8: $i] :
                                                                ( ( eiw_di @ Y8 @ mactual )
                                                                & ( seat @ X1 @ mactual )
                                                                & ( furniture @ X1 @ mactual )
                                                                & ( front @ X1 @ mactual )
                                                                & ( seat @ Y0 @ mactual )
                                                                & ( furniture @ Y0 @ mactual )
                                                                & ( front @ Y0 @ mactual )
                                                                & ( hollywood @ Y1 @ mactual )
                                                                & ( city @ Y1 @ mactual )
                                                                & ( event @ Y2 @ mactual )
                                                                & ( chevy @ Y3 @ mactual )
                                                                & ( car @ Y3 @ mactual )
                                                                & ( white @ Y3 @ mactual )
                                                                & ( dirty @ Y3 @ mactual )
                                                                & ( old @ Y3 @ mactual )
                                                                & ( street @ Y4 @ mactual )
                                                                & ( way @ Y4 @ mactual )
                                                                & ( lonely @ Y4 @ mactual )
                                                                & ( barrel @ Y2 @ Y3 @ mactual )
                                                                & ( down @ Y2 @ Y4 @ mactual )
                                                                & ( in @ Y2 @ Y1 @ mactual )
                                                                & ~ ( qmltpeq @ Y5 @ Y6 @ mactual )
                                                                & ( fellow @ Y5 @ mactual )
                                                                & ( man @ Y5 @ mactual )
                                                                & ( young @ Y5 @ mactual )
                                                                & ( fellow @ Y6 @ mactual )
                                                                & ( man @ Y6 @ mactual )
                                                                & ( young @ Y6 @ mactual )
                                                                & ( qmltpeq @ Y5 @ Y7 @ mactual )
                                                                & ( in @ Y7 @ X1 @ mactual )
                                                                & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                & ( in @ Y8 @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
        = $false )
    | spl0_1 ),
    inference(beta-eta_normalization,[],[f750]) ).

thf(f755,plain,
    ( ! [X1: $i] :
        ( ( $false
          = ( ?? @ $i
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ mactual )
                & ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ mactual )
                      & ( ?? @ $i
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ mactual )
                            & ( ?? @ $i
                              @ ^ [Y3: $i] :
                                  ( ( eiw_di @ Y3 @ mactual )
                                  & ( ?? @ $i
                                    @ ^ [Y4: $i] :
                                        ( ( eiw_di @ Y4 @ mactual )
                                        & ( ?? @ $i
                                          @ ^ [Y5: $i] :
                                              ( ( eiw_di @ Y5 @ mactual )
                                              & ( ?? @ $i
                                                @ ^ [Y6: $i] :
                                                    ( ( eiw_di @ Y6 @ mactual )
                                                    & ( ?? @ $i
                                                      @ ^ [Y7: $i] :
                                                          ( ( eiw_di @ Y7 @ mactual )
                                                          & ( ?? @ $i
                                                            @ ^ [Y8: $i] :
                                                                ( ( eiw_di @ Y8 @ mactual )
                                                                & ( seat @ X1 @ mactual )
                                                                & ( furniture @ X1 @ mactual )
                                                                & ( front @ X1 @ mactual )
                                                                & ( seat @ Y0 @ mactual )
                                                                & ( furniture @ Y0 @ mactual )
                                                                & ( front @ Y0 @ mactual )
                                                                & ( hollywood @ Y1 @ mactual )
                                                                & ( city @ Y1 @ mactual )
                                                                & ( event @ Y2 @ mactual )
                                                                & ( chevy @ Y3 @ mactual )
                                                                & ( car @ Y3 @ mactual )
                                                                & ( white @ Y3 @ mactual )
                                                                & ( dirty @ Y3 @ mactual )
                                                                & ( old @ Y3 @ mactual )
                                                                & ( street @ Y4 @ mactual )
                                                                & ( way @ Y4 @ mactual )
                                                                & ( lonely @ Y4 @ mactual )
                                                                & ( barrel @ Y2 @ Y3 @ mactual )
                                                                & ( down @ Y2 @ Y4 @ mactual )
                                                                & ( in @ Y2 @ Y1 @ mactual )
                                                                & ~ ( qmltpeq @ Y5 @ Y6 @ mactual )
                                                                & ( fellow @ Y5 @ mactual )
                                                                & ( man @ Y5 @ mactual )
                                                                & ( young @ Y5 @ mactual )
                                                                & ( fellow @ Y6 @ mactual )
                                                                & ( man @ Y6 @ mactual )
                                                                & ( young @ Y6 @ mactual )
                                                                & ( qmltpeq @ Y5 @ Y7 @ mactual )
                                                                & ( in @ Y7 @ X1 @ mactual )
                                                                & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                & ( in @ Y8 @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f753]) ).

thf(f756,plain,
    ( ! [X2: $i,X1: $i] :
        ( ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ mactual )
                & ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ mactual )
                      & ( ?? @ $i
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ mactual )
                            & ( ?? @ $i
                              @ ^ [Y3: $i] :
                                  ( ( eiw_di @ Y3 @ mactual )
                                  & ( ?? @ $i
                                    @ ^ [Y4: $i] :
                                        ( ( eiw_di @ Y4 @ mactual )
                                        & ( ?? @ $i
                                          @ ^ [Y5: $i] :
                                              ( ( eiw_di @ Y5 @ mactual )
                                              & ( ?? @ $i
                                                @ ^ [Y6: $i] :
                                                    ( ( eiw_di @ Y6 @ mactual )
                                                    & ( ?? @ $i
                                                      @ ^ [Y7: $i] :
                                                          ( ( eiw_di @ Y7 @ mactual )
                                                          & ( ?? @ $i
                                                            @ ^ [Y8: $i] :
                                                                ( ( eiw_di @ Y8 @ mactual )
                                                                & ( seat @ X1 @ mactual )
                                                                & ( furniture @ X1 @ mactual )
                                                                & ( front @ X1 @ mactual )
                                                                & ( seat @ Y0 @ mactual )
                                                                & ( furniture @ Y0 @ mactual )
                                                                & ( front @ Y0 @ mactual )
                                                                & ( hollywood @ Y1 @ mactual )
                                                                & ( city @ Y1 @ mactual )
                                                                & ( event @ Y2 @ mactual )
                                                                & ( chevy @ Y3 @ mactual )
                                                                & ( car @ Y3 @ mactual )
                                                                & ( white @ Y3 @ mactual )
                                                                & ( dirty @ Y3 @ mactual )
                                                                & ( old @ Y3 @ mactual )
                                                                & ( street @ Y4 @ mactual )
                                                                & ( way @ Y4 @ mactual )
                                                                & ( lonely @ Y4 @ mactual )
                                                                & ( barrel @ Y2 @ Y3 @ mactual )
                                                                & ( down @ Y2 @ Y4 @ mactual )
                                                                & ( in @ Y2 @ Y1 @ mactual )
                                                                & ~ ( qmltpeq @ Y5 @ Y6 @ mactual )
                                                                & ( fellow @ Y5 @ mactual )
                                                                & ( man @ Y5 @ mactual )
                                                                & ( young @ Y5 @ mactual )
                                                                & ( fellow @ Y6 @ mactual )
                                                                & ( man @ Y6 @ mactual )
                                                                & ( young @ Y6 @ mactual )
                                                                & ( qmltpeq @ Y5 @ Y7 @ mactual )
                                                                & ( in @ Y7 @ X1 @ mactual )
                                                                & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                & ( in @ Y8 @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
            @ X2 )
          = $false ) )
    | spl0_1 ),
    inference(pi_proxy_clausification,[],[f755]) ).

thf(f759,plain,
    ( ! [X2: $i,X1: $i] :
        ( ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( ( eiw_di @ X2 @ mactual )
            & ( ?? @ $i
              @ ^ [Y0: $i] :
                  ( ( eiw_di @ Y0 @ mactual )
                  & ( ?? @ $i
                    @ ^ [Y1: $i] :
                        ( ( eiw_di @ Y1 @ mactual )
                        & ( ?? @ $i
                          @ ^ [Y2: $i] :
                              ( ( eiw_di @ Y2 @ mactual )
                              & ( ?? @ $i
                                @ ^ [Y3: $i] :
                                    ( ( eiw_di @ Y3 @ mactual )
                                    & ( ?? @ $i
                                      @ ^ [Y4: $i] :
                                          ( ( eiw_di @ Y4 @ mactual )
                                          & ( ?? @ $i
                                            @ ^ [Y5: $i] :
                                                ( ( eiw_di @ Y5 @ mactual )
                                                & ( ?? @ $i
                                                  @ ^ [Y6: $i] :
                                                      ( ( eiw_di @ Y6 @ mactual )
                                                      & ( ?? @ $i
                                                        @ ^ [Y7: $i] :
                                                            ( ( eiw_di @ Y7 @ mactual )
                                                            & ( seat @ X1 @ mactual )
                                                            & ( furniture @ X1 @ mactual )
                                                            & ( front @ X1 @ mactual )
                                                            & ( seat @ X2 @ mactual )
                                                            & ( furniture @ X2 @ mactual )
                                                            & ( front @ X2 @ mactual )
                                                            & ( hollywood @ Y0 @ mactual )
                                                            & ( city @ Y0 @ mactual )
                                                            & ( event @ Y1 @ mactual )
                                                            & ( chevy @ Y2 @ mactual )
                                                            & ( car @ Y2 @ mactual )
                                                            & ( white @ Y2 @ mactual )
                                                            & ( dirty @ Y2 @ mactual )
                                                            & ( old @ Y2 @ mactual )
                                                            & ( street @ Y3 @ mactual )
                                                            & ( way @ Y3 @ mactual )
                                                            & ( lonely @ Y3 @ mactual )
                                                            & ( barrel @ Y1 @ Y2 @ mactual )
                                                            & ( down @ Y1 @ Y3 @ mactual )
                                                            & ( in @ Y1 @ Y0 @ mactual )
                                                            & ~ ( qmltpeq @ Y4 @ Y5 @ mactual )
                                                            & ( fellow @ Y4 @ mactual )
                                                            & ( man @ Y4 @ mactual )
                                                            & ( young @ Y4 @ mactual )
                                                            & ( fellow @ Y5 @ mactual )
                                                            & ( man @ Y5 @ mactual )
                                                            & ( young @ Y5 @ mactual )
                                                            & ( qmltpeq @ Y4 @ Y6 @ mactual )
                                                            & ( in @ Y6 @ X1 @ mactual )
                                                            & ( qmltpeq @ Y5 @ Y7 @ mactual )
                                                            & ( in @ Y7 @ X2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | spl0_1 ),
    inference(beta-eta_normalization,[],[f756]) ).

thf(f760,plain,
    ( ! [X2: $i,X1: $i] :
        ( ( ( ?? @ $i
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ mactual )
                & ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ mactual )
                      & ( ?? @ $i
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ mactual )
                            & ( ?? @ $i
                              @ ^ [Y3: $i] :
                                  ( ( eiw_di @ Y3 @ mactual )
                                  & ( ?? @ $i
                                    @ ^ [Y4: $i] :
                                        ( ( eiw_di @ Y4 @ mactual )
                                        & ( ?? @ $i
                                          @ ^ [Y5: $i] :
                                              ( ( eiw_di @ Y5 @ mactual )
                                              & ( ?? @ $i
                                                @ ^ [Y6: $i] :
                                                    ( ( eiw_di @ Y6 @ mactual )
                                                    & ( ?? @ $i
                                                      @ ^ [Y7: $i] :
                                                          ( ( eiw_di @ Y7 @ mactual )
                                                          & ( seat @ X1 @ mactual )
                                                          & ( furniture @ X1 @ mactual )
                                                          & ( front @ X1 @ mactual )
                                                          & ( seat @ X2 @ mactual )
                                                          & ( furniture @ X2 @ mactual )
                                                          & ( front @ X2 @ mactual )
                                                          & ( hollywood @ Y0 @ mactual )
                                                          & ( city @ Y0 @ mactual )
                                                          & ( event @ Y1 @ mactual )
                                                          & ( chevy @ Y2 @ mactual )
                                                          & ( car @ Y2 @ mactual )
                                                          & ( white @ Y2 @ mactual )
                                                          & ( dirty @ Y2 @ mactual )
                                                          & ( old @ Y2 @ mactual )
                                                          & ( street @ Y3 @ mactual )
                                                          & ( way @ Y3 @ mactual )
                                                          & ( lonely @ Y3 @ mactual )
                                                          & ( barrel @ Y1 @ Y2 @ mactual )
                                                          & ( down @ Y1 @ Y3 @ mactual )
                                                          & ( in @ Y1 @ Y0 @ mactual )
                                                          & ~ ( qmltpeq @ Y4 @ Y5 @ mactual )
                                                          & ( fellow @ Y4 @ mactual )
                                                          & ( man @ Y4 @ mactual )
                                                          & ( young @ Y4 @ mactual )
                                                          & ( fellow @ Y5 @ mactual )
                                                          & ( man @ Y5 @ mactual )
                                                          & ( young @ Y5 @ mactual )
                                                          & ( qmltpeq @ Y4 @ Y6 @ mactual )
                                                          & ( in @ Y6 @ X1 @ mactual )
                                                          & ( qmltpeq @ Y5 @ Y7 @ mactual )
                                                          & ( in @ Y7 @ X2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f759]) ).

thf(f761,plain,
    ( ! [X2: $i,X3: $i,X1: $i] :
        ( ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ mactual )
                & ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ mactual )
                      & ( ?? @ $i
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ mactual )
                            & ( ?? @ $i
                              @ ^ [Y3: $i] :
                                  ( ( eiw_di @ Y3 @ mactual )
                                  & ( ?? @ $i
                                    @ ^ [Y4: $i] :
                                        ( ( eiw_di @ Y4 @ mactual )
                                        & ( ?? @ $i
                                          @ ^ [Y5: $i] :
                                              ( ( eiw_di @ Y5 @ mactual )
                                              & ( ?? @ $i
                                                @ ^ [Y6: $i] :
                                                    ( ( eiw_di @ Y6 @ mactual )
                                                    & ( ?? @ $i
                                                      @ ^ [Y7: $i] :
                                                          ( ( eiw_di @ Y7 @ mactual )
                                                          & ( seat @ X1 @ mactual )
                                                          & ( furniture @ X1 @ mactual )
                                                          & ( front @ X1 @ mactual )
                                                          & ( seat @ X2 @ mactual )
                                                          & ( furniture @ X2 @ mactual )
                                                          & ( front @ X2 @ mactual )
                                                          & ( hollywood @ Y0 @ mactual )
                                                          & ( city @ Y0 @ mactual )
                                                          & ( event @ Y1 @ mactual )
                                                          & ( chevy @ Y2 @ mactual )
                                                          & ( car @ Y2 @ mactual )
                                                          & ( white @ Y2 @ mactual )
                                                          & ( dirty @ Y2 @ mactual )
                                                          & ( old @ Y2 @ mactual )
                                                          & ( street @ Y3 @ mactual )
                                                          & ( way @ Y3 @ mactual )
                                                          & ( lonely @ Y3 @ mactual )
                                                          & ( barrel @ Y1 @ Y2 @ mactual )
                                                          & ( down @ Y1 @ Y3 @ mactual )
                                                          & ( in @ Y1 @ Y0 @ mactual )
                                                          & ~ ( qmltpeq @ Y4 @ Y5 @ mactual )
                                                          & ( fellow @ Y4 @ mactual )
                                                          & ( man @ Y4 @ mactual )
                                                          & ( young @ Y4 @ mactual )
                                                          & ( fellow @ Y5 @ mactual )
                                                          & ( man @ Y5 @ mactual )
                                                          & ( young @ Y5 @ mactual )
                                                          & ( qmltpeq @ Y4 @ Y6 @ mactual )
                                                          & ( in @ Y6 @ X1 @ mactual )
                                                          & ( qmltpeq @ Y5 @ Y7 @ mactual )
                                                          & ( in @ Y7 @ X2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
            @ X3 )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false ) )
    | spl0_1 ),
    inference(pi_proxy_clausification,[],[f760]) ).

thf(f763,plain,
    ( ! [X2: $i,X3: $i,X1: $i] :
        ( ( ( ( eiw_di @ X3 @ mactual )
            & ( ?? @ $i
              @ ^ [Y0: $i] :
                  ( ( eiw_di @ Y0 @ mactual )
                  & ( ?? @ $i
                    @ ^ [Y1: $i] :
                        ( ( eiw_di @ Y1 @ mactual )
                        & ( ?? @ $i
                          @ ^ [Y2: $i] :
                              ( ( eiw_di @ Y2 @ mactual )
                              & ( ?? @ $i
                                @ ^ [Y3: $i] :
                                    ( ( eiw_di @ Y3 @ mactual )
                                    & ( ?? @ $i
                                      @ ^ [Y4: $i] :
                                          ( ( eiw_di @ Y4 @ mactual )
                                          & ( ?? @ $i
                                            @ ^ [Y5: $i] :
                                                ( ( eiw_di @ Y5 @ mactual )
                                                & ( ?? @ $i
                                                  @ ^ [Y6: $i] :
                                                      ( ( eiw_di @ Y6 @ mactual )
                                                      & ( seat @ X1 @ mactual )
                                                      & ( furniture @ X1 @ mactual )
                                                      & ( front @ X1 @ mactual )
                                                      & ( seat @ X2 @ mactual )
                                                      & ( furniture @ X2 @ mactual )
                                                      & ( front @ X2 @ mactual )
                                                      & ( hollywood @ X3 @ mactual )
                                                      & ( city @ X3 @ mactual )
                                                      & ( event @ Y0 @ mactual )
                                                      & ( chevy @ Y1 @ mactual )
                                                      & ( car @ Y1 @ mactual )
                                                      & ( white @ Y1 @ mactual )
                                                      & ( dirty @ Y1 @ mactual )
                                                      & ( old @ Y1 @ mactual )
                                                      & ( street @ Y2 @ mactual )
                                                      & ( way @ Y2 @ mactual )
                                                      & ( lonely @ Y2 @ mactual )
                                                      & ( barrel @ Y0 @ Y1 @ mactual )
                                                      & ( down @ Y0 @ Y2 @ mactual )
                                                      & ( in @ Y0 @ X3 @ mactual )
                                                      & ~ ( qmltpeq @ Y3 @ Y4 @ mactual )
                                                      & ( fellow @ Y3 @ mactual )
                                                      & ( man @ Y3 @ mactual )
                                                      & ( young @ Y3 @ mactual )
                                                      & ( fellow @ Y4 @ mactual )
                                                      & ( man @ Y4 @ mactual )
                                                      & ( young @ Y4 @ mactual )
                                                      & ( qmltpeq @ Y3 @ Y5 @ mactual )
                                                      & ( in @ Y5 @ X1 @ mactual )
                                                      & ( qmltpeq @ Y4 @ Y6 @ mactual )
                                                      & ( in @ Y6 @ X2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) ) )
    | spl0_1 ),
    inference(beta-eta_normalization,[],[f761]) ).

thf(f765,plain,
    ( ! [X2: $i,X3: $i,X1: $i] :
        ( ( ( ?? @ $i
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ mactual )
                & ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ mactual )
                      & ( ?? @ $i
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ mactual )
                            & ( ?? @ $i
                              @ ^ [Y3: $i] :
                                  ( ( eiw_di @ Y3 @ mactual )
                                  & ( ?? @ $i
                                    @ ^ [Y4: $i] :
                                        ( ( eiw_di @ Y4 @ mactual )
                                        & ( ?? @ $i
                                          @ ^ [Y5: $i] :
                                              ( ( eiw_di @ Y5 @ mactual )
                                              & ( ?? @ $i
                                                @ ^ [Y6: $i] :
                                                    ( ( eiw_di @ Y6 @ mactual )
                                                    & ( seat @ X1 @ mactual )
                                                    & ( furniture @ X1 @ mactual )
                                                    & ( front @ X1 @ mactual )
                                                    & ( seat @ X2 @ mactual )
                                                    & ( furniture @ X2 @ mactual )
                                                    & ( front @ X2 @ mactual )
                                                    & ( hollywood @ X3 @ mactual )
                                                    & ( city @ X3 @ mactual )
                                                    & ( event @ Y0 @ mactual )
                                                    & ( chevy @ Y1 @ mactual )
                                                    & ( car @ Y1 @ mactual )
                                                    & ( white @ Y1 @ mactual )
                                                    & ( dirty @ Y1 @ mactual )
                                                    & ( old @ Y1 @ mactual )
                                                    & ( street @ Y2 @ mactual )
                                                    & ( way @ Y2 @ mactual )
                                                    & ( lonely @ Y2 @ mactual )
                                                    & ( barrel @ Y0 @ Y1 @ mactual )
                                                    & ( down @ Y0 @ Y2 @ mactual )
                                                    & ( in @ Y0 @ X3 @ mactual )
                                                    & ~ ( qmltpeq @ Y3 @ Y4 @ mactual )
                                                    & ( fellow @ Y3 @ mactual )
                                                    & ( man @ Y3 @ mactual )
                                                    & ( young @ Y3 @ mactual )
                                                    & ( fellow @ Y4 @ mactual )
                                                    & ( man @ Y4 @ mactual )
                                                    & ( young @ Y4 @ mactual )
                                                    & ( qmltpeq @ Y3 @ Y5 @ mactual )
                                                    & ( in @ Y5 @ X1 @ mactual )
                                                    & ( qmltpeq @ Y4 @ Y6 @ mactual )
                                                    & ( in @ Y6 @ X2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f763]) ).

thf(f766,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X4: $i] :
        ( ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ mactual )
                & ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ mactual )
                      & ( ?? @ $i
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ mactual )
                            & ( ?? @ $i
                              @ ^ [Y3: $i] :
                                  ( ( eiw_di @ Y3 @ mactual )
                                  & ( ?? @ $i
                                    @ ^ [Y4: $i] :
                                        ( ( eiw_di @ Y4 @ mactual )
                                        & ( ?? @ $i
                                          @ ^ [Y5: $i] :
                                              ( ( eiw_di @ Y5 @ mactual )
                                              & ( ?? @ $i
                                                @ ^ [Y6: $i] :
                                                    ( ( eiw_di @ Y6 @ mactual )
                                                    & ( seat @ X1 @ mactual )
                                                    & ( furniture @ X1 @ mactual )
                                                    & ( front @ X1 @ mactual )
                                                    & ( seat @ X2 @ mactual )
                                                    & ( furniture @ X2 @ mactual )
                                                    & ( front @ X2 @ mactual )
                                                    & ( hollywood @ X3 @ mactual )
                                                    & ( city @ X3 @ mactual )
                                                    & ( event @ Y0 @ mactual )
                                                    & ( chevy @ Y1 @ mactual )
                                                    & ( car @ Y1 @ mactual )
                                                    & ( white @ Y1 @ mactual )
                                                    & ( dirty @ Y1 @ mactual )
                                                    & ( old @ Y1 @ mactual )
                                                    & ( street @ Y2 @ mactual )
                                                    & ( way @ Y2 @ mactual )
                                                    & ( lonely @ Y2 @ mactual )
                                                    & ( barrel @ Y0 @ Y1 @ mactual )
                                                    & ( down @ Y0 @ Y2 @ mactual )
                                                    & ( in @ Y0 @ X3 @ mactual )
                                                    & ~ ( qmltpeq @ Y3 @ Y4 @ mactual )
                                                    & ( fellow @ Y3 @ mactual )
                                                    & ( man @ Y3 @ mactual )
                                                    & ( young @ Y3 @ mactual )
                                                    & ( fellow @ Y4 @ mactual )
                                                    & ( man @ Y4 @ mactual )
                                                    & ( young @ Y4 @ mactual )
                                                    & ( qmltpeq @ Y3 @ Y5 @ mactual )
                                                    & ( in @ Y5 @ X1 @ mactual )
                                                    & ( qmltpeq @ Y4 @ Y6 @ mactual )
                                                    & ( in @ Y6 @ X2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) )
            @ X4 )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) ) )
    | spl0_1 ),
    inference(pi_proxy_clausification,[],[f765]) ).

thf(f769,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X4: $i] :
        ( ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( ( eiw_di @ X4 @ mactual )
            & ( ?? @ $i
              @ ^ [Y0: $i] :
                  ( ( eiw_di @ Y0 @ mactual )
                  & ( ?? @ $i
                    @ ^ [Y1: $i] :
                        ( ( eiw_di @ Y1 @ mactual )
                        & ( ?? @ $i
                          @ ^ [Y2: $i] :
                              ( ( eiw_di @ Y2 @ mactual )
                              & ( ?? @ $i
                                @ ^ [Y3: $i] :
                                    ( ( eiw_di @ Y3 @ mactual )
                                    & ( ?? @ $i
                                      @ ^ [Y4: $i] :
                                          ( ( eiw_di @ Y4 @ mactual )
                                          & ( ?? @ $i
                                            @ ^ [Y5: $i] :
                                                ( ( eiw_di @ Y5 @ mactual )
                                                & ( seat @ X1 @ mactual )
                                                & ( furniture @ X1 @ mactual )
                                                & ( front @ X1 @ mactual )
                                                & ( seat @ X2 @ mactual )
                                                & ( furniture @ X2 @ mactual )
                                                & ( front @ X2 @ mactual )
                                                & ( hollywood @ X3 @ mactual )
                                                & ( city @ X3 @ mactual )
                                                & ( event @ X4 @ mactual )
                                                & ( chevy @ Y0 @ mactual )
                                                & ( car @ Y0 @ mactual )
                                                & ( white @ Y0 @ mactual )
                                                & ( dirty @ Y0 @ mactual )
                                                & ( old @ Y0 @ mactual )
                                                & ( street @ Y1 @ mactual )
                                                & ( way @ Y1 @ mactual )
                                                & ( lonely @ Y1 @ mactual )
                                                & ( barrel @ X4 @ Y0 @ mactual )
                                                & ( down @ X4 @ Y1 @ mactual )
                                                & ( in @ X4 @ X3 @ mactual )
                                                & ~ ( qmltpeq @ Y2 @ Y3 @ mactual )
                                                & ( fellow @ Y2 @ mactual )
                                                & ( man @ Y2 @ mactual )
                                                & ( young @ Y2 @ mactual )
                                                & ( fellow @ Y3 @ mactual )
                                                & ( man @ Y3 @ mactual )
                                                & ( young @ Y3 @ mactual )
                                                & ( qmltpeq @ Y2 @ Y4 @ mactual )
                                                & ( in @ Y4 @ X1 @ mactual )
                                                & ( qmltpeq @ Y3 @ Y5 @ mactual )
                                                & ( in @ Y5 @ X2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false ) )
    | spl0_1 ),
    inference(beta-eta_normalization,[],[f766]) ).

thf(f770,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X4: $i] :
        ( ( ( ?? @ $i
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ mactual )
                & ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ mactual )
                      & ( ?? @ $i
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ mactual )
                            & ( ?? @ $i
                              @ ^ [Y3: $i] :
                                  ( ( eiw_di @ Y3 @ mactual )
                                  & ( ?? @ $i
                                    @ ^ [Y4: $i] :
                                        ( ( eiw_di @ Y4 @ mactual )
                                        & ( ?? @ $i
                                          @ ^ [Y5: $i] :
                                              ( ( eiw_di @ Y5 @ mactual )
                                              & ( seat @ X1 @ mactual )
                                              & ( furniture @ X1 @ mactual )
                                              & ( front @ X1 @ mactual )
                                              & ( seat @ X2 @ mactual )
                                              & ( furniture @ X2 @ mactual )
                                              & ( front @ X2 @ mactual )
                                              & ( hollywood @ X3 @ mactual )
                                              & ( city @ X3 @ mactual )
                                              & ( event @ X4 @ mactual )
                                              & ( chevy @ Y0 @ mactual )
                                              & ( car @ Y0 @ mactual )
                                              & ( white @ Y0 @ mactual )
                                              & ( dirty @ Y0 @ mactual )
                                              & ( old @ Y0 @ mactual )
                                              & ( street @ Y1 @ mactual )
                                              & ( way @ Y1 @ mactual )
                                              & ( lonely @ Y1 @ mactual )
                                              & ( barrel @ X4 @ Y0 @ mactual )
                                              & ( down @ X4 @ Y1 @ mactual )
                                              & ( in @ X4 @ X3 @ mactual )
                                              & ~ ( qmltpeq @ Y2 @ Y3 @ mactual )
                                              & ( fellow @ Y2 @ mactual )
                                              & ( man @ Y2 @ mactual )
                                              & ( young @ Y2 @ mactual )
                                              & ( fellow @ Y3 @ mactual )
                                              & ( man @ Y3 @ mactual )
                                              & ( young @ Y3 @ mactual )
                                              & ( qmltpeq @ Y2 @ Y4 @ mactual )
                                              & ( in @ Y4 @ X1 @ mactual )
                                              & ( qmltpeq @ Y3 @ Y5 @ mactual )
                                              & ( in @ Y5 @ X2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f769]) ).

thf(f771,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X4: $i,X5: $i] :
        ( ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ mactual )
                & ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ mactual )
                      & ( ?? @ $i
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ mactual )
                            & ( ?? @ $i
                              @ ^ [Y3: $i] :
                                  ( ( eiw_di @ Y3 @ mactual )
                                  & ( ?? @ $i
                                    @ ^ [Y4: $i] :
                                        ( ( eiw_di @ Y4 @ mactual )
                                        & ( ?? @ $i
                                          @ ^ [Y5: $i] :
                                              ( ( eiw_di @ Y5 @ mactual )
                                              & ( seat @ X1 @ mactual )
                                              & ( furniture @ X1 @ mactual )
                                              & ( front @ X1 @ mactual )
                                              & ( seat @ X2 @ mactual )
                                              & ( furniture @ X2 @ mactual )
                                              & ( front @ X2 @ mactual )
                                              & ( hollywood @ X3 @ mactual )
                                              & ( city @ X3 @ mactual )
                                              & ( event @ X4 @ mactual )
                                              & ( chevy @ Y0 @ mactual )
                                              & ( car @ Y0 @ mactual )
                                              & ( white @ Y0 @ mactual )
                                              & ( dirty @ Y0 @ mactual )
                                              & ( old @ Y0 @ mactual )
                                              & ( street @ Y1 @ mactual )
                                              & ( way @ Y1 @ mactual )
                                              & ( lonely @ Y1 @ mactual )
                                              & ( barrel @ X4 @ Y0 @ mactual )
                                              & ( down @ X4 @ Y1 @ mactual )
                                              & ( in @ X4 @ X3 @ mactual )
                                              & ~ ( qmltpeq @ Y2 @ Y3 @ mactual )
                                              & ( fellow @ Y2 @ mactual )
                                              & ( man @ Y2 @ mactual )
                                              & ( young @ Y2 @ mactual )
                                              & ( fellow @ Y3 @ mactual )
                                              & ( man @ Y3 @ mactual )
                                              & ( young @ Y3 @ mactual )
                                              & ( qmltpeq @ Y2 @ Y4 @ mactual )
                                              & ( in @ Y4 @ X1 @ mactual )
                                              & ( qmltpeq @ Y3 @ Y5 @ mactual )
                                              & ( in @ Y5 @ X2 @ mactual ) ) ) ) ) ) ) ) ) ) ) )
            @ X5 )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) ) )
    | spl0_1 ),
    inference(pi_proxy_clausification,[],[f770]) ).

thf(f774,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X4: $i,X5: $i] :
        ( ( ( ( eiw_di @ X5 @ mactual )
            & ( ?? @ $i
              @ ^ [Y0: $i] :
                  ( ( eiw_di @ Y0 @ mactual )
                  & ( ?? @ $i
                    @ ^ [Y1: $i] :
                        ( ( eiw_di @ Y1 @ mactual )
                        & ( ?? @ $i
                          @ ^ [Y2: $i] :
                              ( ( eiw_di @ Y2 @ mactual )
                              & ( ?? @ $i
                                @ ^ [Y3: $i] :
                                    ( ( eiw_di @ Y3 @ mactual )
                                    & ( ?? @ $i
                                      @ ^ [Y4: $i] :
                                          ( ( eiw_di @ Y4 @ mactual )
                                          & ( seat @ X1 @ mactual )
                                          & ( furniture @ X1 @ mactual )
                                          & ( front @ X1 @ mactual )
                                          & ( seat @ X2 @ mactual )
                                          & ( furniture @ X2 @ mactual )
                                          & ( front @ X2 @ mactual )
                                          & ( hollywood @ X3 @ mactual )
                                          & ( city @ X3 @ mactual )
                                          & ( event @ X4 @ mactual )
                                          & ( chevy @ X5 @ mactual )
                                          & ( car @ X5 @ mactual )
                                          & ( white @ X5 @ mactual )
                                          & ( dirty @ X5 @ mactual )
                                          & ( old @ X5 @ mactual )
                                          & ( street @ Y0 @ mactual )
                                          & ( way @ Y0 @ mactual )
                                          & ( lonely @ Y0 @ mactual )
                                          & ( barrel @ X4 @ X5 @ mactual )
                                          & ( down @ X4 @ Y0 @ mactual )
                                          & ( in @ X4 @ X3 @ mactual )
                                          & ~ ( qmltpeq @ Y1 @ Y2 @ mactual )
                                          & ( fellow @ Y1 @ mactual )
                                          & ( man @ Y1 @ mactual )
                                          & ( young @ Y1 @ mactual )
                                          & ( fellow @ Y2 @ mactual )
                                          & ( man @ Y2 @ mactual )
                                          & ( young @ Y2 @ mactual )
                                          & ( qmltpeq @ Y1 @ Y3 @ mactual )
                                          & ( in @ Y3 @ X1 @ mactual )
                                          & ( qmltpeq @ Y2 @ Y4 @ mactual )
                                          & ( in @ Y4 @ X2 @ mactual ) ) ) ) ) ) ) ) ) ) ) )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false ) )
    | spl0_1 ),
    inference(beta-eta_normalization,[],[f771]) ).

thf(f775,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( ?? @ $i
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ mactual )
                & ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ mactual )
                      & ( ?? @ $i
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ mactual )
                            & ( ?? @ $i
                              @ ^ [Y3: $i] :
                                  ( ( eiw_di @ Y3 @ mactual )
                                  & ( ?? @ $i
                                    @ ^ [Y4: $i] :
                                        ( ( eiw_di @ Y4 @ mactual )
                                        & ( seat @ X1 @ mactual )
                                        & ( furniture @ X1 @ mactual )
                                        & ( front @ X1 @ mactual )
                                        & ( seat @ X2 @ mactual )
                                        & ( furniture @ X2 @ mactual )
                                        & ( front @ X2 @ mactual )
                                        & ( hollywood @ X3 @ mactual )
                                        & ( city @ X3 @ mactual )
                                        & ( event @ X4 @ mactual )
                                        & ( chevy @ X5 @ mactual )
                                        & ( car @ X5 @ mactual )
                                        & ( white @ X5 @ mactual )
                                        & ( dirty @ X5 @ mactual )
                                        & ( old @ X5 @ mactual )
                                        & ( street @ Y0 @ mactual )
                                        & ( way @ Y0 @ mactual )
                                        & ( lonely @ Y0 @ mactual )
                                        & ( barrel @ X4 @ X5 @ mactual )
                                        & ( down @ X4 @ Y0 @ mactual )
                                        & ( in @ X4 @ X3 @ mactual )
                                        & ~ ( qmltpeq @ Y1 @ Y2 @ mactual )
                                        & ( fellow @ Y1 @ mactual )
                                        & ( man @ Y1 @ mactual )
                                        & ( young @ Y1 @ mactual )
                                        & ( fellow @ Y2 @ mactual )
                                        & ( man @ Y2 @ mactual )
                                        & ( young @ Y2 @ mactual )
                                        & ( qmltpeq @ Y1 @ Y3 @ mactual )
                                        & ( in @ Y3 @ X1 @ mactual )
                                        & ( qmltpeq @ Y2 @ Y4 @ mactual )
                                        & ( in @ Y4 @ X2 @ mactual ) ) ) ) ) ) ) ) ) ) ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f774]) ).

thf(f776,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X6: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ mactual )
                & ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ mactual )
                      & ( ?? @ $i
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ mactual )
                            & ( ?? @ $i
                              @ ^ [Y3: $i] :
                                  ( ( eiw_di @ Y3 @ mactual )
                                  & ( ?? @ $i
                                    @ ^ [Y4: $i] :
                                        ( ( eiw_di @ Y4 @ mactual )
                                        & ( seat @ X1 @ mactual )
                                        & ( furniture @ X1 @ mactual )
                                        & ( front @ X1 @ mactual )
                                        & ( seat @ X2 @ mactual )
                                        & ( furniture @ X2 @ mactual )
                                        & ( front @ X2 @ mactual )
                                        & ( hollywood @ X3 @ mactual )
                                        & ( city @ X3 @ mactual )
                                        & ( event @ X4 @ mactual )
                                        & ( chevy @ X5 @ mactual )
                                        & ( car @ X5 @ mactual )
                                        & ( white @ X5 @ mactual )
                                        & ( dirty @ X5 @ mactual )
                                        & ( old @ X5 @ mactual )
                                        & ( street @ Y0 @ mactual )
                                        & ( way @ Y0 @ mactual )
                                        & ( lonely @ Y0 @ mactual )
                                        & ( barrel @ X4 @ X5 @ mactual )
                                        & ( down @ X4 @ Y0 @ mactual )
                                        & ( in @ X4 @ X3 @ mactual )
                                        & ~ ( qmltpeq @ Y1 @ Y2 @ mactual )
                                        & ( fellow @ Y1 @ mactual )
                                        & ( man @ Y1 @ mactual )
                                        & ( young @ Y1 @ mactual )
                                        & ( fellow @ Y2 @ mactual )
                                        & ( man @ Y2 @ mactual )
                                        & ( young @ Y2 @ mactual )
                                        & ( qmltpeq @ Y1 @ Y3 @ mactual )
                                        & ( in @ Y3 @ X1 @ mactual )
                                        & ( qmltpeq @ Y2 @ Y4 @ mactual )
                                        & ( in @ Y4 @ X2 @ mactual ) ) ) ) ) ) ) ) ) )
            @ X6 )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false ) )
    | spl0_1 ),
    inference(pi_proxy_clausification,[],[f775]) ).

thf(f779,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X6: $i,X4: $i,X5: $i] :
        ( ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( ( eiw_di @ X6 @ mactual )
            & ( ?? @ $i
              @ ^ [Y0: $i] :
                  ( ( eiw_di @ Y0 @ mactual )
                  & ( ?? @ $i
                    @ ^ [Y1: $i] :
                        ( ( eiw_di @ Y1 @ mactual )
                        & ( ?? @ $i
                          @ ^ [Y2: $i] :
                              ( ( eiw_di @ Y2 @ mactual )
                              & ( ?? @ $i
                                @ ^ [Y3: $i] :
                                    ( ( eiw_di @ Y3 @ mactual )
                                    & ( seat @ X1 @ mactual )
                                    & ( furniture @ X1 @ mactual )
                                    & ( front @ X1 @ mactual )
                                    & ( seat @ X2 @ mactual )
                                    & ( furniture @ X2 @ mactual )
                                    & ( front @ X2 @ mactual )
                                    & ( hollywood @ X3 @ mactual )
                                    & ( city @ X3 @ mactual )
                                    & ( event @ X4 @ mactual )
                                    & ( chevy @ X5 @ mactual )
                                    & ( car @ X5 @ mactual )
                                    & ( white @ X5 @ mactual )
                                    & ( dirty @ X5 @ mactual )
                                    & ( old @ X5 @ mactual )
                                    & ( street @ X6 @ mactual )
                                    & ( way @ X6 @ mactual )
                                    & ( lonely @ X6 @ mactual )
                                    & ( barrel @ X4 @ X5 @ mactual )
                                    & ( down @ X4 @ X6 @ mactual )
                                    & ( in @ X4 @ X3 @ mactual )
                                    & ~ ( qmltpeq @ Y0 @ Y1 @ mactual )
                                    & ( fellow @ Y0 @ mactual )
                                    & ( man @ Y0 @ mactual )
                                    & ( young @ Y0 @ mactual )
                                    & ( fellow @ Y1 @ mactual )
                                    & ( man @ Y1 @ mactual )
                                    & ( young @ Y1 @ mactual )
                                    & ( qmltpeq @ Y0 @ Y2 @ mactual )
                                    & ( in @ Y2 @ X1 @ mactual )
                                    & ( qmltpeq @ Y1 @ Y3 @ mactual )
                                    & ( in @ Y3 @ X2 @ mactual ) ) ) ) ) ) ) ) ) )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false ) )
    | spl0_1 ),
    inference(beta-eta_normalization,[],[f776]) ).

thf(f780,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X6: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( ?? @ $i
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ mactual )
                & ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ mactual )
                      & ( ?? @ $i
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ mactual )
                            & ( ?? @ $i
                              @ ^ [Y3: $i] :
                                  ( ( eiw_di @ Y3 @ mactual )
                                  & ( seat @ X1 @ mactual )
                                  & ( furniture @ X1 @ mactual )
                                  & ( front @ X1 @ mactual )
                                  & ( seat @ X2 @ mactual )
                                  & ( furniture @ X2 @ mactual )
                                  & ( front @ X2 @ mactual )
                                  & ( hollywood @ X3 @ mactual )
                                  & ( city @ X3 @ mactual )
                                  & ( event @ X4 @ mactual )
                                  & ( chevy @ X5 @ mactual )
                                  & ( car @ X5 @ mactual )
                                  & ( white @ X5 @ mactual )
                                  & ( dirty @ X5 @ mactual )
                                  & ( old @ X5 @ mactual )
                                  & ( street @ X6 @ mactual )
                                  & ( way @ X6 @ mactual )
                                  & ( lonely @ X6 @ mactual )
                                  & ( barrel @ X4 @ X5 @ mactual )
                                  & ( down @ X4 @ X6 @ mactual )
                                  & ( in @ X4 @ X3 @ mactual )
                                  & ~ ( qmltpeq @ Y0 @ Y1 @ mactual )
                                  & ( fellow @ Y0 @ mactual )
                                  & ( man @ Y0 @ mactual )
                                  & ( young @ Y0 @ mactual )
                                  & ( fellow @ Y1 @ mactual )
                                  & ( man @ Y1 @ mactual )
                                  & ( young @ Y1 @ mactual )
                                  & ( qmltpeq @ Y0 @ Y2 @ mactual )
                                  & ( in @ Y2 @ X1 @ mactual )
                                  & ( qmltpeq @ Y1 @ Y3 @ mactual )
                                  & ( in @ Y3 @ X2 @ mactual ) ) ) ) ) ) ) ) ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f779]) ).

thf(f781,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ mactual )
                & ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ mactual )
                      & ( ?? @ $i
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ mactual )
                            & ( ?? @ $i
                              @ ^ [Y3: $i] :
                                  ( ( eiw_di @ Y3 @ mactual )
                                  & ( seat @ X1 @ mactual )
                                  & ( furniture @ X1 @ mactual )
                                  & ( front @ X1 @ mactual )
                                  & ( seat @ X2 @ mactual )
                                  & ( furniture @ X2 @ mactual )
                                  & ( front @ X2 @ mactual )
                                  & ( hollywood @ X3 @ mactual )
                                  & ( city @ X3 @ mactual )
                                  & ( event @ X4 @ mactual )
                                  & ( chevy @ X5 @ mactual )
                                  & ( car @ X5 @ mactual )
                                  & ( white @ X5 @ mactual )
                                  & ( dirty @ X5 @ mactual )
                                  & ( old @ X5 @ mactual )
                                  & ( street @ X6 @ mactual )
                                  & ( way @ X6 @ mactual )
                                  & ( lonely @ X6 @ mactual )
                                  & ( barrel @ X4 @ X5 @ mactual )
                                  & ( down @ X4 @ X6 @ mactual )
                                  & ( in @ X4 @ X3 @ mactual )
                                  & ~ ( qmltpeq @ Y0 @ Y1 @ mactual )
                                  & ( fellow @ Y0 @ mactual )
                                  & ( man @ Y0 @ mactual )
                                  & ( young @ Y0 @ mactual )
                                  & ( fellow @ Y1 @ mactual )
                                  & ( man @ Y1 @ mactual )
                                  & ( young @ Y1 @ mactual )
                                  & ( qmltpeq @ Y0 @ Y2 @ mactual )
                                  & ( in @ Y2 @ X1 @ mactual )
                                  & ( qmltpeq @ Y1 @ Y3 @ mactual )
                                  & ( in @ Y3 @ X2 @ mactual ) ) ) ) ) ) ) )
            @ X7 )
          = $false ) )
    | spl0_1 ),
    inference(pi_proxy_clausification,[],[f780]) ).

thf(f783,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( ( eiw_di @ X7 @ mactual )
            & ( ?? @ $i
              @ ^ [Y0: $i] :
                  ( ( eiw_di @ Y0 @ mactual )
                  & ( ?? @ $i
                    @ ^ [Y1: $i] :
                        ( ( eiw_di @ Y1 @ mactual )
                        & ( ?? @ $i
                          @ ^ [Y2: $i] :
                              ( ( eiw_di @ Y2 @ mactual )
                              & ( seat @ X1 @ mactual )
                              & ( furniture @ X1 @ mactual )
                              & ( front @ X1 @ mactual )
                              & ( seat @ X2 @ mactual )
                              & ( furniture @ X2 @ mactual )
                              & ( front @ X2 @ mactual )
                              & ( hollywood @ X3 @ mactual )
                              & ( city @ X3 @ mactual )
                              & ( event @ X4 @ mactual )
                              & ( chevy @ X5 @ mactual )
                              & ( car @ X5 @ mactual )
                              & ( white @ X5 @ mactual )
                              & ( dirty @ X5 @ mactual )
                              & ( old @ X5 @ mactual )
                              & ( street @ X6 @ mactual )
                              & ( way @ X6 @ mactual )
                              & ( lonely @ X6 @ mactual )
                              & ( barrel @ X4 @ X5 @ mactual )
                              & ( down @ X4 @ X6 @ mactual )
                              & ( in @ X4 @ X3 @ mactual )
                              & ~ ( qmltpeq @ X7 @ Y0 @ mactual )
                              & ( fellow @ X7 @ mactual )
                              & ( man @ X7 @ mactual )
                              & ( young @ X7 @ mactual )
                              & ( fellow @ Y0 @ mactual )
                              & ( man @ Y0 @ mactual )
                              & ( young @ Y0 @ mactual )
                              & ( qmltpeq @ X7 @ Y1 @ mactual )
                              & ( in @ Y1 @ X1 @ mactual )
                              & ( qmltpeq @ Y0 @ Y2 @ mactual )
                              & ( in @ Y2 @ X2 @ mactual ) ) ) ) ) ) ) )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) ) )
    | spl0_1 ),
    inference(beta-eta_normalization,[],[f781]) ).

thf(f785,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( ?? @ $i
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ mactual )
                & ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ mactual )
                      & ( ?? @ $i
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ mactual )
                            & ( seat @ X1 @ mactual )
                            & ( furniture @ X1 @ mactual )
                            & ( front @ X1 @ mactual )
                            & ( seat @ X2 @ mactual )
                            & ( furniture @ X2 @ mactual )
                            & ( front @ X2 @ mactual )
                            & ( hollywood @ X3 @ mactual )
                            & ( city @ X3 @ mactual )
                            & ( event @ X4 @ mactual )
                            & ( chevy @ X5 @ mactual )
                            & ( car @ X5 @ mactual )
                            & ( white @ X5 @ mactual )
                            & ( dirty @ X5 @ mactual )
                            & ( old @ X5 @ mactual )
                            & ( street @ X6 @ mactual )
                            & ( way @ X6 @ mactual )
                            & ( lonely @ X6 @ mactual )
                            & ( barrel @ X4 @ X5 @ mactual )
                            & ( down @ X4 @ X6 @ mactual )
                            & ( in @ X4 @ X3 @ mactual )
                            & ~ ( qmltpeq @ X7 @ Y0 @ mactual )
                            & ( fellow @ X7 @ mactual )
                            & ( man @ X7 @ mactual )
                            & ( young @ X7 @ mactual )
                            & ( fellow @ Y0 @ mactual )
                            & ( man @ Y0 @ mactual )
                            & ( young @ Y0 @ mactual )
                            & ( qmltpeq @ X7 @ Y1 @ mactual )
                            & ( in @ Y1 @ X1 @ mactual )
                            & ( qmltpeq @ Y0 @ Y2 @ mactual )
                            & ( in @ Y2 @ X2 @ mactual ) ) ) ) ) ) )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f783]) ).

thf(f786,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ mactual )
                & ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ mactual )
                      & ( ?? @ $i
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ mactual )
                            & ( seat @ X1 @ mactual )
                            & ( furniture @ X1 @ mactual )
                            & ( front @ X1 @ mactual )
                            & ( seat @ X2 @ mactual )
                            & ( furniture @ X2 @ mactual )
                            & ( front @ X2 @ mactual )
                            & ( hollywood @ X3 @ mactual )
                            & ( city @ X3 @ mactual )
                            & ( event @ X4 @ mactual )
                            & ( chevy @ X5 @ mactual )
                            & ( car @ X5 @ mactual )
                            & ( white @ X5 @ mactual )
                            & ( dirty @ X5 @ mactual )
                            & ( old @ X5 @ mactual )
                            & ( street @ X6 @ mactual )
                            & ( way @ X6 @ mactual )
                            & ( lonely @ X6 @ mactual )
                            & ( barrel @ X4 @ X5 @ mactual )
                            & ( down @ X4 @ X6 @ mactual )
                            & ( in @ X4 @ X3 @ mactual )
                            & ~ ( qmltpeq @ X7 @ Y0 @ mactual )
                            & ( fellow @ X7 @ mactual )
                            & ( man @ X7 @ mactual )
                            & ( young @ X7 @ mactual )
                            & ( fellow @ Y0 @ mactual )
                            & ( man @ Y0 @ mactual )
                            & ( young @ Y0 @ mactual )
                            & ( qmltpeq @ X7 @ Y1 @ mactual )
                            & ( in @ Y1 @ X1 @ mactual )
                            & ( qmltpeq @ Y0 @ Y2 @ mactual )
                            & ( in @ Y2 @ X2 @ mactual ) ) ) ) ) )
            @ X8 )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false ) )
    | spl0_1 ),
    inference(pi_proxy_clausification,[],[f785]) ).

thf(f788,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( ( eiw_di @ X8 @ mactual )
            & ( ?? @ $i
              @ ^ [Y0: $i] :
                  ( ( eiw_di @ Y0 @ mactual )
                  & ( ?? @ $i
                    @ ^ [Y1: $i] :
                        ( ( eiw_di @ Y1 @ mactual )
                        & ( seat @ X1 @ mactual )
                        & ( furniture @ X1 @ mactual )
                        & ( front @ X1 @ mactual )
                        & ( seat @ X2 @ mactual )
                        & ( furniture @ X2 @ mactual )
                        & ( front @ X2 @ mactual )
                        & ( hollywood @ X3 @ mactual )
                        & ( city @ X3 @ mactual )
                        & ( event @ X4 @ mactual )
                        & ( chevy @ X5 @ mactual )
                        & ( car @ X5 @ mactual )
                        & ( white @ X5 @ mactual )
                        & ( dirty @ X5 @ mactual )
                        & ( old @ X5 @ mactual )
                        & ( street @ X6 @ mactual )
                        & ( way @ X6 @ mactual )
                        & ( lonely @ X6 @ mactual )
                        & ( barrel @ X4 @ X5 @ mactual )
                        & ( down @ X4 @ X6 @ mactual )
                        & ( in @ X4 @ X3 @ mactual )
                        & ~ ( qmltpeq @ X7 @ X8 @ mactual )
                        & ( fellow @ X7 @ mactual )
                        & ( man @ X7 @ mactual )
                        & ( young @ X7 @ mactual )
                        & ( fellow @ X8 @ mactual )
                        & ( man @ X8 @ mactual )
                        & ( young @ X8 @ mactual )
                        & ( qmltpeq @ X7 @ Y0 @ mactual )
                        & ( in @ Y0 @ X1 @ mactual )
                        & ( qmltpeq @ X8 @ Y1 @ mactual )
                        & ( in @ Y1 @ X2 @ mactual ) ) ) ) ) )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) ) )
    | spl0_1 ),
    inference(beta-eta_normalization,[],[f786]) ).

thf(f790,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( ?? @ $i
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ mactual )
                & ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ mactual )
                      & ( seat @ X1 @ mactual )
                      & ( furniture @ X1 @ mactual )
                      & ( front @ X1 @ mactual )
                      & ( seat @ X2 @ mactual )
                      & ( furniture @ X2 @ mactual )
                      & ( front @ X2 @ mactual )
                      & ( hollywood @ X3 @ mactual )
                      & ( city @ X3 @ mactual )
                      & ( event @ X4 @ mactual )
                      & ( chevy @ X5 @ mactual )
                      & ( car @ X5 @ mactual )
                      & ( white @ X5 @ mactual )
                      & ( dirty @ X5 @ mactual )
                      & ( old @ X5 @ mactual )
                      & ( street @ X6 @ mactual )
                      & ( way @ X6 @ mactual )
                      & ( lonely @ X6 @ mactual )
                      & ( barrel @ X4 @ X5 @ mactual )
                      & ( down @ X4 @ X6 @ mactual )
                      & ( in @ X4 @ X3 @ mactual )
                      & ~ ( qmltpeq @ X7 @ X8 @ mactual )
                      & ( fellow @ X7 @ mactual )
                      & ( man @ X7 @ mactual )
                      & ( young @ X7 @ mactual )
                      & ( fellow @ X8 @ mactual )
                      & ( man @ X8 @ mactual )
                      & ( young @ X8 @ mactual )
                      & ( qmltpeq @ X7 @ Y0 @ mactual )
                      & ( in @ Y0 @ X1 @ mactual )
                      & ( qmltpeq @ X8 @ Y1 @ mactual )
                      & ( in @ Y1 @ X2 @ mactual ) ) ) ) ) )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f788]) ).

thf(f791,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( $false
          = ( ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ mactual )
                & ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ mactual )
                      & ( seat @ X1 @ mactual )
                      & ( furniture @ X1 @ mactual )
                      & ( front @ X1 @ mactual )
                      & ( seat @ X2 @ mactual )
                      & ( furniture @ X2 @ mactual )
                      & ( front @ X2 @ mactual )
                      & ( hollywood @ X3 @ mactual )
                      & ( city @ X3 @ mactual )
                      & ( event @ X4 @ mactual )
                      & ( chevy @ X5 @ mactual )
                      & ( car @ X5 @ mactual )
                      & ( white @ X5 @ mactual )
                      & ( dirty @ X5 @ mactual )
                      & ( old @ X5 @ mactual )
                      & ( street @ X6 @ mactual )
                      & ( way @ X6 @ mactual )
                      & ( lonely @ X6 @ mactual )
                      & ( barrel @ X4 @ X5 @ mactual )
                      & ( down @ X4 @ X6 @ mactual )
                      & ( in @ X4 @ X3 @ mactual )
                      & ~ ( qmltpeq @ X7 @ X8 @ mactual )
                      & ( fellow @ X7 @ mactual )
                      & ( man @ X7 @ mactual )
                      & ( young @ X7 @ mactual )
                      & ( fellow @ X8 @ mactual )
                      & ( man @ X8 @ mactual )
                      & ( young @ X8 @ mactual )
                      & ( qmltpeq @ X7 @ Y0 @ mactual )
                      & ( in @ Y0 @ X1 @ mactual )
                      & ( qmltpeq @ X8 @ Y1 @ mactual )
                      & ( in @ Y1 @ X2 @ mactual ) ) ) )
            @ X9 ) )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false ) )
    | spl0_1 ),
    inference(pi_proxy_clausification,[],[f790]) ).

thf(f793,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( ( eiw_di @ X9 @ mactual )
            & ( ?? @ $i
              @ ^ [Y0: $i] :
                  ( ( eiw_di @ Y0 @ mactual )
                  & ( seat @ X1 @ mactual )
                  & ( furniture @ X1 @ mactual )
                  & ( front @ X1 @ mactual )
                  & ( seat @ X2 @ mactual )
                  & ( furniture @ X2 @ mactual )
                  & ( front @ X2 @ mactual )
                  & ( hollywood @ X3 @ mactual )
                  & ( city @ X3 @ mactual )
                  & ( event @ X4 @ mactual )
                  & ( chevy @ X5 @ mactual )
                  & ( car @ X5 @ mactual )
                  & ( white @ X5 @ mactual )
                  & ( dirty @ X5 @ mactual )
                  & ( old @ X5 @ mactual )
                  & ( street @ X6 @ mactual )
                  & ( way @ X6 @ mactual )
                  & ( lonely @ X6 @ mactual )
                  & ( barrel @ X4 @ X5 @ mactual )
                  & ( down @ X4 @ X6 @ mactual )
                  & ( in @ X4 @ X3 @ mactual )
                  & ~ ( qmltpeq @ X7 @ X8 @ mactual )
                  & ( fellow @ X7 @ mactual )
                  & ( man @ X7 @ mactual )
                  & ( young @ X7 @ mactual )
                  & ( fellow @ X8 @ mactual )
                  & ( man @ X8 @ mactual )
                  & ( young @ X8 @ mactual )
                  & ( qmltpeq @ X7 @ X9 @ mactual )
                  & ( in @ X9 @ X1 @ mactual )
                  & ( qmltpeq @ X8 @ Y0 @ mactual )
                  & ( in @ Y0 @ X2 @ mactual ) ) ) )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) ) )
    | spl0_1 ),
    inference(beta-eta_normalization,[],[f791]) ).

thf(f795,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( ?? @ $i
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ mactual )
                & ( seat @ X1 @ mactual )
                & ( furniture @ X1 @ mactual )
                & ( front @ X1 @ mactual )
                & ( seat @ X2 @ mactual )
                & ( furniture @ X2 @ mactual )
                & ( front @ X2 @ mactual )
                & ( hollywood @ X3 @ mactual )
                & ( city @ X3 @ mactual )
                & ( event @ X4 @ mactual )
                & ( chevy @ X5 @ mactual )
                & ( car @ X5 @ mactual )
                & ( white @ X5 @ mactual )
                & ( dirty @ X5 @ mactual )
                & ( old @ X5 @ mactual )
                & ( street @ X6 @ mactual )
                & ( way @ X6 @ mactual )
                & ( lonely @ X6 @ mactual )
                & ( barrel @ X4 @ X5 @ mactual )
                & ( down @ X4 @ X6 @ mactual )
                & ( in @ X4 @ X3 @ mactual )
                & ~ ( qmltpeq @ X7 @ X8 @ mactual )
                & ( fellow @ X7 @ mactual )
                & ( man @ X7 @ mactual )
                & ( young @ X7 @ mactual )
                & ( fellow @ X8 @ mactual )
                & ( man @ X8 @ mactual )
                & ( young @ X8 @ mactual )
                & ( qmltpeq @ X7 @ X9 @ mactual )
                & ( in @ X9 @ X1 @ mactual )
                & ( qmltpeq @ X8 @ Y0 @ mactual )
                & ( in @ Y0 @ X2 @ mactual ) ) ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f793]) ).

thf(f796,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ mactual )
                & ( seat @ X1 @ mactual )
                & ( furniture @ X1 @ mactual )
                & ( front @ X1 @ mactual )
                & ( seat @ X2 @ mactual )
                & ( furniture @ X2 @ mactual )
                & ( front @ X2 @ mactual )
                & ( hollywood @ X3 @ mactual )
                & ( city @ X3 @ mactual )
                & ( event @ X4 @ mactual )
                & ( chevy @ X5 @ mactual )
                & ( car @ X5 @ mactual )
                & ( white @ X5 @ mactual )
                & ( dirty @ X5 @ mactual )
                & ( old @ X5 @ mactual )
                & ( street @ X6 @ mactual )
                & ( way @ X6 @ mactual )
                & ( lonely @ X6 @ mactual )
                & ( barrel @ X4 @ X5 @ mactual )
                & ( down @ X4 @ X6 @ mactual )
                & ( in @ X4 @ X3 @ mactual )
                & ~ ( qmltpeq @ X7 @ X8 @ mactual )
                & ( fellow @ X7 @ mactual )
                & ( man @ X7 @ mactual )
                & ( young @ X7 @ mactual )
                & ( fellow @ X8 @ mactual )
                & ( man @ X8 @ mactual )
                & ( young @ X8 @ mactual )
                & ( qmltpeq @ X7 @ X9 @ mactual )
                & ( in @ X9 @ X1 @ mactual )
                & ( qmltpeq @ X8 @ Y0 @ mactual )
                & ( in @ Y0 @ X2 @ mactual ) )
            @ X10 )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false ) )
    | spl0_1 ),
    inference(pi_proxy_clausification,[],[f795]) ).

thf(f798,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( ( eiw_di @ X10 @ mactual )
            & ( seat @ X1 @ mactual )
            & ( furniture @ X1 @ mactual )
            & ( front @ X1 @ mactual )
            & ( seat @ X2 @ mactual )
            & ( furniture @ X2 @ mactual )
            & ( front @ X2 @ mactual )
            & ( hollywood @ X3 @ mactual )
            & ( city @ X3 @ mactual )
            & ( event @ X4 @ mactual )
            & ( chevy @ X5 @ mactual )
            & ( car @ X5 @ mactual )
            & ( white @ X5 @ mactual )
            & ( dirty @ X5 @ mactual )
            & ( old @ X5 @ mactual )
            & ( street @ X6 @ mactual )
            & ( way @ X6 @ mactual )
            & ( lonely @ X6 @ mactual )
            & ( barrel @ X4 @ X5 @ mactual )
            & ( down @ X4 @ X6 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( young @ X7 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( young @ X8 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X10 @ X2 @ mactual ) )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) ) )
    | spl0_1 ),
    inference(beta-eta_normalization,[],[f796]) ).

thf(f800,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( ( seat @ X1 @ mactual )
            & ( furniture @ X1 @ mactual )
            & ( front @ X1 @ mactual )
            & ( seat @ X2 @ mactual )
            & ( furniture @ X2 @ mactual )
            & ( front @ X2 @ mactual )
            & ( hollywood @ X3 @ mactual )
            & ( city @ X3 @ mactual )
            & ( event @ X4 @ mactual )
            & ( chevy @ X5 @ mactual )
            & ( car @ X5 @ mactual )
            & ( white @ X5 @ mactual )
            & ( dirty @ X5 @ mactual )
            & ( old @ X5 @ mactual )
            & ( street @ X6 @ mactual )
            & ( way @ X6 @ mactual )
            & ( lonely @ X6 @ mactual )
            & ( barrel @ X4 @ X5 @ mactual )
            & ( down @ X4 @ X6 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( young @ X7 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( young @ X8 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X10 @ X2 @ mactual ) )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f798]) ).

thf(f801,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( ( ( furniture @ X1 @ mactual )
            & ( front @ X1 @ mactual )
            & ( seat @ X2 @ mactual )
            & ( furniture @ X2 @ mactual )
            & ( front @ X2 @ mactual )
            & ( hollywood @ X3 @ mactual )
            & ( city @ X3 @ mactual )
            & ( event @ X4 @ mactual )
            & ( chevy @ X5 @ mactual )
            & ( car @ X5 @ mactual )
            & ( white @ X5 @ mactual )
            & ( dirty @ X5 @ mactual )
            & ( old @ X5 @ mactual )
            & ( street @ X6 @ mactual )
            & ( way @ X6 @ mactual )
            & ( lonely @ X6 @ mactual )
            & ( barrel @ X4 @ X5 @ mactual )
            & ( down @ X4 @ X6 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( young @ X7 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( young @ X8 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X10 @ X2 @ mactual ) )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f800]) ).

thf(f802,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( ( ( front @ X1 @ mactual )
            & ( seat @ X2 @ mactual )
            & ( furniture @ X2 @ mactual )
            & ( front @ X2 @ mactual )
            & ( hollywood @ X3 @ mactual )
            & ( city @ X3 @ mactual )
            & ( event @ X4 @ mactual )
            & ( chevy @ X5 @ mactual )
            & ( car @ X5 @ mactual )
            & ( white @ X5 @ mactual )
            & ( dirty @ X5 @ mactual )
            & ( old @ X5 @ mactual )
            & ( street @ X6 @ mactual )
            & ( way @ X6 @ mactual )
            & ( lonely @ X6 @ mactual )
            & ( barrel @ X4 @ X5 @ mactual )
            & ( down @ X4 @ X6 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( young @ X7 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( young @ X8 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X10 @ X2 @ mactual ) )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f801]) ).

thf(f803,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( $false
          = ( ( seat @ X2 @ mactual )
            & ( furniture @ X2 @ mactual )
            & ( front @ X2 @ mactual )
            & ( hollywood @ X3 @ mactual )
            & ( city @ X3 @ mactual )
            & ( event @ X4 @ mactual )
            & ( chevy @ X5 @ mactual )
            & ( car @ X5 @ mactual )
            & ( white @ X5 @ mactual )
            & ( dirty @ X5 @ mactual )
            & ( old @ X5 @ mactual )
            & ( street @ X6 @ mactual )
            & ( way @ X6 @ mactual )
            & ( lonely @ X6 @ mactual )
            & ( barrel @ X4 @ X5 @ mactual )
            & ( down @ X4 @ X6 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( young @ X7 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( young @ X8 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X10 @ X2 @ mactual ) ) )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f802]) ).

thf(f804,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( ( furniture @ X2 @ mactual )
            & ( front @ X2 @ mactual )
            & ( hollywood @ X3 @ mactual )
            & ( city @ X3 @ mactual )
            & ( event @ X4 @ mactual )
            & ( chevy @ X5 @ mactual )
            & ( car @ X5 @ mactual )
            & ( white @ X5 @ mactual )
            & ( dirty @ X5 @ mactual )
            & ( old @ X5 @ mactual )
            & ( street @ X6 @ mactual )
            & ( way @ X6 @ mactual )
            & ( lonely @ X6 @ mactual )
            & ( barrel @ X4 @ X5 @ mactual )
            & ( down @ X4 @ X6 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( young @ X7 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( young @ X8 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X10 @ X2 @ mactual ) )
          = $false ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f803]) ).

thf(f805,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( seat @ X2 @ mactual ) )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( ( front @ X2 @ mactual )
            & ( hollywood @ X3 @ mactual )
            & ( city @ X3 @ mactual )
            & ( event @ X4 @ mactual )
            & ( chevy @ X5 @ mactual )
            & ( car @ X5 @ mactual )
            & ( white @ X5 @ mactual )
            & ( dirty @ X5 @ mactual )
            & ( old @ X5 @ mactual )
            & ( street @ X6 @ mactual )
            & ( way @ X6 @ mactual )
            & ( lonely @ X6 @ mactual )
            & ( barrel @ X4 @ X5 @ mactual )
            & ( down @ X4 @ X6 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( young @ X7 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( young @ X8 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X10 @ X2 @ mactual ) )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f804]) ).

thf(f806,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( ( hollywood @ X3 @ mactual )
            & ( city @ X3 @ mactual )
            & ( event @ X4 @ mactual )
            & ( chevy @ X5 @ mactual )
            & ( car @ X5 @ mactual )
            & ( white @ X5 @ mactual )
            & ( dirty @ X5 @ mactual )
            & ( old @ X5 @ mactual )
            & ( street @ X6 @ mactual )
            & ( way @ X6 @ mactual )
            & ( lonely @ X6 @ mactual )
            & ( barrel @ X4 @ X5 @ mactual )
            & ( down @ X4 @ X6 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( young @ X7 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( young @ X8 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X10 @ X2 @ mactual ) ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( ( eiw_di @ X5 @ mactual )
          = $false ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f805]) ).

thf(f807,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( hollywood @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( ( city @ X3 @ mactual )
            & ( event @ X4 @ mactual )
            & ( chevy @ X5 @ mactual )
            & ( car @ X5 @ mactual )
            & ( white @ X5 @ mactual )
            & ( dirty @ X5 @ mactual )
            & ( old @ X5 @ mactual )
            & ( street @ X6 @ mactual )
            & ( way @ X6 @ mactual )
            & ( lonely @ X6 @ mactual )
            & ( barrel @ X4 @ X5 @ mactual )
            & ( down @ X4 @ X6 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( young @ X7 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( young @ X8 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X10 @ X2 @ mactual ) )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X2 @ mactual ) ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f806]) ).

thf(f808,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( ( event @ X4 @ mactual )
            & ( chevy @ X5 @ mactual )
            & ( car @ X5 @ mactual )
            & ( white @ X5 @ mactual )
            & ( dirty @ X5 @ mactual )
            & ( old @ X5 @ mactual )
            & ( street @ X6 @ mactual )
            & ( way @ X6 @ mactual )
            & ( lonely @ X6 @ mactual )
            & ( barrel @ X4 @ X5 @ mactual )
            & ( down @ X4 @ X6 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( young @ X7 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( young @ X8 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X10 @ X2 @ mactual ) )
          = $false )
        | ( ( hollywood @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f807]) ).

thf(f809,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( hollywood @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( $false
          = ( ( chevy @ X5 @ mactual )
            & ( car @ X5 @ mactual )
            & ( white @ X5 @ mactual )
            & ( dirty @ X5 @ mactual )
            & ( old @ X5 @ mactual )
            & ( street @ X6 @ mactual )
            & ( way @ X6 @ mactual )
            & ( lonely @ X6 @ mactual )
            & ( barrel @ X4 @ X5 @ mactual )
            & ( down @ X4 @ X6 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( young @ X7 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( young @ X8 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X10 @ X2 @ mactual ) ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f808]) ).

thf(f810,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( $false
          = ( ( car @ X5 @ mactual )
            & ( white @ X5 @ mactual )
            & ( dirty @ X5 @ mactual )
            & ( old @ X5 @ mactual )
            & ( street @ X6 @ mactual )
            & ( way @ X6 @ mactual )
            & ( lonely @ X6 @ mactual )
            & ( barrel @ X4 @ X5 @ mactual )
            & ( down @ X4 @ X6 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( young @ X7 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( young @ X8 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X10 @ X2 @ mactual ) ) )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( hollywood @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( chevy @ X5 @ mactual )
          = $false ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f809]) ).

thf(f811,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( car @ X5 @ mactual ) )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( ( hollywood @ X3 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( chevy @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( ( white @ X5 @ mactual )
            & ( dirty @ X5 @ mactual )
            & ( old @ X5 @ mactual )
            & ( street @ X6 @ mactual )
            & ( way @ X6 @ mactual )
            & ( lonely @ X6 @ mactual )
            & ( barrel @ X4 @ X5 @ mactual )
            & ( down @ X4 @ X6 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( young @ X7 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( young @ X8 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X10 @ X2 @ mactual ) )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f810]) ).

thf(f812,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( front @ X2 @ mactual )
          = $false )
        | ( ( white @ X5 @ mactual )
          = $false )
        | ( ( hollywood @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( chevy @ X5 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( $false
          = ( car @ X5 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( ( dirty @ X5 @ mactual )
            & ( old @ X5 @ mactual )
            & ( street @ X6 @ mactual )
            & ( way @ X6 @ mactual )
            & ( lonely @ X6 @ mactual )
            & ( barrel @ X4 @ X5 @ mactual )
            & ( down @ X4 @ X6 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( young @ X7 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( young @ X8 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X10 @ X2 @ mactual ) )
          = $false ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f811]) ).

thf(f813,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( seat @ X2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( ( white @ X5 @ mactual )
          = $false )
        | ( ( chevy @ X5 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( car @ X5 @ mactual ) )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( hollywood @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( dirty @ X5 @ mactual )
          = $false )
        | ( $false
          = ( ( old @ X5 @ mactual )
            & ( street @ X6 @ mactual )
            & ( way @ X6 @ mactual )
            & ( lonely @ X6 @ mactual )
            & ( barrel @ X4 @ X5 @ mactual )
            & ( down @ X4 @ X6 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( young @ X7 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( young @ X8 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X10 @ X2 @ mactual ) ) )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f812]) ).

thf(f814,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( front @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( ( street @ X6 @ mactual )
            & ( way @ X6 @ mactual )
            & ( lonely @ X6 @ mactual )
            & ( barrel @ X4 @ X5 @ mactual )
            & ( down @ X4 @ X6 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( young @ X7 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( young @ X8 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X10 @ X2 @ mactual ) )
          = $false )
        | ( ( old @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( white @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( ( dirty @ X5 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( chevy @ X5 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( $false
          = ( car @ X5 @ mactual ) )
        | ( ( hollywood @ X3 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X2 @ mactual ) ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f813]) ).

thf(f815,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( event @ X4 @ mactual )
          = $false )
        | ( ( hollywood @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( dirty @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( car @ X5 @ mactual ) )
        | ( ( ( way @ X6 @ mactual )
            & ( lonely @ X6 @ mactual )
            & ( barrel @ X4 @ X5 @ mactual )
            & ( down @ X4 @ X6 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( young @ X7 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( young @ X8 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X10 @ X2 @ mactual ) )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( street @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( ( white @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( chevy @ X5 @ mactual )
          = $false )
        | ( ( old @ X5 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f814]) ).

thf(f816,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( ( lonely @ X6 @ mactual )
            & ( barrel @ X4 @ X5 @ mactual )
            & ( down @ X4 @ X6 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( young @ X7 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( young @ X8 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X10 @ X2 @ mactual ) ) )
        | ( ( street @ X6 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( hollywood @ X3 @ mactual )
          = $false )
        | ( ( white @ X5 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( $false
          = ( way @ X6 @ mactual ) )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( old @ X5 @ mactual )
          = $false )
        | ( ( chevy @ X5 @ mactual )
          = $false )
        | ( ( dirty @ X5 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( $false
          = ( car @ X5 @ mactual ) )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f815]) ).

thf(f817,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( hollywood @ X3 @ mactual )
          = $false )
        | ( ( white @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( $false
          = ( way @ X6 @ mactual ) )
        | ( ( street @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( $false
          = ( car @ X5 @ mactual ) )
        | ( ( old @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( chevy @ X5 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( ( barrel @ X4 @ X5 @ mactual )
            & ( down @ X4 @ X6 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( young @ X7 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( young @ X8 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X10 @ X2 @ mactual ) )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( $false
          = ( lonely @ X6 @ mactual ) )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( dirty @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f816]) ).

thf(f818,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( ( down @ X4 @ X6 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( young @ X7 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( young @ X8 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X10 @ X2 @ mactual ) )
          = $false )
        | ( ( street @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( hollywood @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( white @ X5 @ mactual )
          = $false )
        | ( ( old @ X5 @ mactual )
          = $false )
        | ( $false
          = ( lonely @ X6 @ mactual ) )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( dirty @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( $false
          = ( way @ X6 @ mactual ) )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( ( chevy @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( $false
          = ( car @ X5 @ mactual ) )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( barrel @ X4 @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f817]) ).

thf(f819,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( car @ X5 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( old @ X5 @ mactual )
          = $false )
        | ( $false
          = ( way @ X6 @ mactual ) )
        | ( ( down @ X4 @ X6 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( ( in @ X4 @ X3 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( young @ X7 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( young @ X8 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X10 @ X2 @ mactual ) ) )
        | ( ( white @ X5 @ mactual )
          = $false )
        | ( $false
          = ( lonely @ X6 @ mactual ) )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( ( street @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( dirty @ X5 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( hollywood @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( barrel @ X4 @ X5 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( chevy @ X5 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f818]) ).

thf(f820,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( ( down @ X4 @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( $false
          = ( ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( young @ X7 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( young @ X8 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X10 @ X2 @ mactual ) ) )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( old @ X5 @ mactual )
          = $false )
        | ( ( chevy @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( $false
          = ( car @ X5 @ mactual ) )
        | ( ( street @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( barrel @ X4 @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( lonely @ X6 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( white @ X5 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( ( hollywood @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( dirty @ X5 @ mactual )
          = $false )
        | ( $false
          = ( way @ X6 @ mactual ) ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f819]) ).

thf(f821,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( way @ X6 @ mactual ) )
        | ( ( white @ X5 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( old @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( down @ X4 @ X6 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( hollywood @ X3 @ mactual )
          = $false )
        | ( ( barrel @ X4 @ X5 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( chevy @ X5 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( ( ~ ( qmltpeq @ X7 @ X8 @ mactual ) )
          = $false )
        | ( $false
          = ( lonely @ X6 @ mactual ) )
        | ( $false
          = ( car @ X5 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( dirty @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( street @ X6 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( ( fellow @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( young @ X7 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( young @ X8 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X10 @ X2 @ mactual ) )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f820]) ).

thf(f822,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( down @ X4 @ X6 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( barrel @ X4 @ X5 @ mactual )
          = $false )
        | ( ( dirty @ X5 @ mactual )
          = $false )
        | ( $false
          = ( lonely @ X6 @ mactual ) )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( $false
          = ( car @ X5 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( hollywood @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( white @ X5 @ mactual )
          = $false )
        | ( ( chevy @ X5 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( ( old @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( $false
          = ( way @ X6 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( ( fellow @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( young @ X7 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( young @ X8 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X10 @ X2 @ mactual ) )
          = $false )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( ( street @ X6 @ mactual )
          = $false )
        | ( $true
          = ( qmltpeq @ X7 @ X8 @ mactual ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) ) )
    | spl0_1 ),
    inference(not_proxy_clausification,[],[f821]) ).

thf(f823,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( hollywood @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( down @ X4 @ X6 @ mactual )
          = $false )
        | ( ( chevy @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( $true
          = ( qmltpeq @ X7 @ X8 @ mactual ) )
        | ( $false
          = ( car @ X5 @ mactual ) )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( $false
          = ( lonely @ X6 @ mactual ) )
        | ( ( old @ X5 @ mactual )
          = $false )
        | ( ( street @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( white @ X5 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ X7 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( way @ X6 @ mactual ) )
        | ( ( barrel @ X4 @ X5 @ mactual )
          = $false )
        | ( $false
          = ( ( man @ X7 @ mactual )
            & ( young @ X7 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( young @ X8 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X10 @ X2 @ mactual ) ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( dirty @ X5 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f822]) ).

thf(f824,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( fellow @ X7 @ mactual ) )
        | ( $false
          = ( car @ X5 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( $true
          = ( qmltpeq @ X7 @ X8 @ mactual ) )
        | ( $false
          = ( way @ X6 @ mactual ) )
        | ( ( down @ X4 @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( street @ X6 @ mactual )
          = $false )
        | ( $false
          = ( lonely @ X6 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( chevy @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( white @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( hollywood @ X3 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( barrel @ X4 @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( old @ X5 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( man @ X7 @ mactual )
          = $false )
        | ( ( dirty @ X5 @ mactual )
          = $false )
        | ( ( ( young @ X7 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( young @ X8 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X10 @ X2 @ mactual ) )
          = $false ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f823]) ).

thf(f825,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( $false
          = ( lonely @ X6 @ mactual ) )
        | ( $true
          = ( qmltpeq @ X7 @ X8 @ mactual ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( barrel @ X4 @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( down @ X4 @ X6 @ mactual )
          = $false )
        | ( ( hollywood @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( man @ X7 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( ( dirty @ X5 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ X7 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( ( white @ X5 @ mactual )
          = $false )
        | ( $false
          = ( ( fellow @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( young @ X8 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X10 @ X2 @ mactual ) ) )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( street @ X6 @ mactual )
          = $false )
        | ( ( old @ X5 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( $false
          = ( way @ X6 @ mactual ) )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( chevy @ X5 @ mactual )
          = $false )
        | ( ( young @ X7 @ mactual )
          = $false )
        | ( $false
          = ( car @ X5 @ mactual ) ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f824]) ).

thf(f826,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( front @ X1 @ mactual )
          = $false )
        | ( $true
          = ( qmltpeq @ X7 @ X8 @ mactual ) )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( dirty @ X5 @ mactual )
          = $false )
        | ( ( man @ X7 @ mactual )
          = $false )
        | ( $false
          = ( ( man @ X8 @ mactual )
            & ( young @ X8 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X10 @ X2 @ mactual ) ) )
        | ( ( down @ X4 @ X6 @ mactual )
          = $false )
        | ( ( hollywood @ X3 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( $false
          = ( lonely @ X6 @ mactual ) )
        | ( $false
          = ( car @ X5 @ mactual ) )
        | ( $false
          = ( way @ X6 @ mactual ) )
        | ( ( white @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( old @ X5 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ X7 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( street @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( young @ X7 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( barrel @ X4 @ X5 @ mactual )
          = $false )
        | ( ( chevy @ X5 @ mactual )
          = $false )
        | ( ( fellow @ X8 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f825]) ).

thf(f827,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( dirty @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( white @ X5 @ mactual )
          = $false )
        | ( ( man @ X8 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ X7 @ mactual ) )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( $false
          = ( way @ X6 @ mactual ) )
        | ( $false
          = ( lonely @ X6 @ mactual ) )
        | ( ( man @ X7 @ mactual )
          = $false )
        | ( $false
          = ( car @ X5 @ mactual ) )
        | ( ( young @ X7 @ mactual )
          = $false )
        | ( ( fellow @ X8 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( $false
          = ( ( young @ X8 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X10 @ X2 @ mactual ) ) )
        | ( ( down @ X4 @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( street @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( old @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( barrel @ X4 @ X5 @ mactual )
          = $false )
        | ( ( chevy @ X5 @ mactual )
          = $false )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( ( hollywood @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( $true
          = ( qmltpeq @ X7 @ X8 @ mactual ) ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f826]) ).

thf(f828,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( young @ X7 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( old @ X5 @ mactual )
          = $false )
        | ( ( dirty @ X5 @ mactual )
          = $false )
        | ( ( ( qmltpeq @ X7 @ X9 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X10 @ X2 @ mactual ) )
          = $false )
        | ( ( down @ X4 @ X6 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( ( man @ X8 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( white @ X5 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( street @ X6 @ mactual )
          = $false )
        | ( ( young @ X8 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( hollywood @ X3 @ mactual )
          = $false )
        | ( ( man @ X7 @ mactual )
          = $false )
        | ( $false
          = ( lonely @ X6 @ mactual ) )
        | ( ( barrel @ X4 @ X5 @ mactual )
          = $false )
        | ( $false
          = ( way @ X6 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( fellow @ X8 @ mactual )
          = $false )
        | ( $true
          = ( qmltpeq @ X7 @ X8 @ mactual ) )
        | ( $false
          = ( car @ X5 @ mactual ) )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( chevy @ X5 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ X7 @ mactual ) ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f827]) ).

thf(f829,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( man @ X8 @ mactual )
          = $false )
        | ( ( dirty @ X5 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( ( fellow @ X8 @ mactual )
          = $false )
        | ( ( white @ X5 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( street @ X6 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ X7 @ mactual ) )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( $false
          = ( lonely @ X6 @ mactual ) )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( $false
          = ( way @ X6 @ mactual ) )
        | ( ( young @ X8 @ mactual )
          = $false )
        | ( $false
          = ( ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X10 @ X2 @ mactual ) ) )
        | ( $true
          = ( qmltpeq @ X7 @ X8 @ mactual ) )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( old @ X5 @ mactual )
          = $false )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( ( barrel @ X4 @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( down @ X4 @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( chevy @ X5 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( young @ X7 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( qmltpeq @ X7 @ X9 @ mactual )
          = $false )
        | ( ( man @ X7 @ mactual )
          = $false )
        | ( $false
          = ( car @ X5 @ mactual ) )
        | ( ( hollywood @ X3 @ mactual )
          = $false ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f828]) ).

thf(f830,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( fellow @ X7 @ mactual ) )
        | ( ( white @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( ( street @ X6 @ mactual )
          = $false )
        | ( ( young @ X8 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $true
          = ( qmltpeq @ X7 @ X8 @ mactual ) )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( qmltpeq @ X7 @ X9 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( down @ X4 @ X6 @ mactual )
          = $false )
        | ( ( man @ X7 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( man @ X8 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( $false
          = ( car @ X5 @ mactual ) )
        | ( ( old @ X5 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( chevy @ X5 @ mactual )
          = $false )
        | ( ( fellow @ X8 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( lonely @ X6 @ mactual ) )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( ( hollywood @ X3 @ mactual )
          = $false )
        | ( $false
          = ( way @ X6 @ mactual ) )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( dirty @ X5 @ mactual )
          = $false )
        | ( ( young @ X7 @ mactual )
          = $false )
        | ( ( ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X10 @ X2 @ mactual ) )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( in @ X9 @ X1 @ mactual )
          = $false )
        | ( ( barrel @ X4 @ X5 @ mactual )
          = $false ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f829]) ).

thf(f831,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( seat @ X1 @ mactual )
          = $false )
        | ( $false
          = ( car @ X5 @ mactual ) )
        | ( ( dirty @ X5 @ mactual )
          = $false )
        | ( ( white @ X5 @ mactual )
          = $false )
        | ( ( young @ X7 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( in @ X10 @ X2 @ mactual )
          = $false )
        | ( ( in @ X9 @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( way @ X6 @ mactual ) )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $true
          = ( qmltpeq @ X7 @ X8 @ mactual ) )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( ( young @ X8 @ mactual )
          = $false )
        | ( ( fellow @ X8 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X2 @ mactual ) )
        | ( $false
          = ( qmltpeq @ X8 @ X10 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( barrel @ X4 @ X5 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ X7 @ mactual ) )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( man @ X8 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( street @ X6 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( hollywood @ X3 @ mactual )
          = $false )
        | ( ( man @ X7 @ mactual )
          = $false )
        | ( $false
          = ( lonely @ X6 @ mactual ) )
        | ( ( old @ X5 @ mactual )
          = $false )
        | ( ( qmltpeq @ X7 @ X9 @ mactual )
          = $false )
        | ( ( down @ X4 @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( chevy @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f830]) ).

thf(f832,plain,
    ( spl0_3
    | spl0_4
    | spl0_1 ),
    inference(avatar_split_clause,[],[f831,f223,f358,f355]) ).

thf(f835,plain,
    ( ( ( ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ mactual )
                        & ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ mactual )
                              & ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( eiw_di @ Y4 @ mactual )
                                    & ( ?? @ $i
                                      @ ^ [Y5: $i] :
                                          ( ( eiw_di @ Y5 @ mactual )
                                          & ( ?? @ $i
                                            @ ^ [Y6: $i] :
                                                ( ( eiw_di @ Y6 @ mactual )
                                                & ( ?? @ $i
                                                  @ ^ [Y7: $i] :
                                                      ( ( eiw_di @ Y7 @ mactual )
                                                      & ( ?? @ $i
                                                        @ ^ [Y8: $i] :
                                                            ( ( eiw_di @ Y8 @ mactual )
                                                            & ( ?? @ $i
                                                              @ ^ [Y9: $i] :
                                                                  ( ( eiw_di @ Y9 @ mactual )
                                                                  & ( seat @ Y0 @ mactual )
                                                                  & ( furniture @ Y0 @ mactual )
                                                                  & ( front @ Y0 @ mactual )
                                                                  & ( seat @ Y1 @ mactual )
                                                                  & ( furniture @ Y1 @ mactual )
                                                                  & ( front @ Y1 @ mactual )
                                                                  & ( hollywood @ Y2 @ mactual )
                                                                  & ( city @ Y2 @ mactual )
                                                                  & ( event @ Y3 @ mactual )
                                                                  & ( street @ Y4 @ mactual )
                                                                  & ( way @ Y4 @ mactual )
                                                                  & ( lonely @ Y4 @ mactual )
                                                                  & ( chevy @ Y5 @ mactual )
                                                                  & ( car @ Y5 @ mactual )
                                                                  & ( white @ Y5 @ mactual )
                                                                  & ( dirty @ Y5 @ mactual )
                                                                  & ( old @ Y5 @ mactual )
                                                                  & ( barrel @ Y3 @ Y5 @ mactual )
                                                                  & ( down @ Y3 @ Y4 @ mactual )
                                                                  & ( in @ Y3 @ Y2 @ mactual )
                                                                  & ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
                                                                  & ( fellow @ Y6 @ mactual )
                                                                  & ( man @ Y6 @ mactual )
                                                                  & ( young @ Y6 @ mactual )
                                                                  & ( fellow @ Y7 @ mactual )
                                                                  & ( man @ Y7 @ mactual )
                                                                  & ( young @ Y7 @ mactual )
                                                                  & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                  & ( in @ Y8 @ Y0 @ mactual )
                                                                  & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                  & ( in @ Y9 @ Y1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
        @ sK11 )
      = $true )
    | ~ spl0_2 ),
    inference(sigma_proxy_clausification,[],[f229]) ).

thf(f837,plain,
    ( ( ( ( eiw_di @ sK11 @ mactual )
        & ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ?? @ $i
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( ?? @ $i
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ mactual )
                                      & ( ?? @ $i
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ mactual )
                                            & ( ?? @ $i
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ mactual )
                                                  & ( ?? @ $i
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ mactual )
                                                        & ( ?? @ $i
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ mactual )
                                                              & ( seat @ sK11 @ mactual )
                                                              & ( furniture @ sK11 @ mactual )
                                                              & ( front @ sK11 @ mactual )
                                                              & ( seat @ Y0 @ mactual )
                                                              & ( furniture @ Y0 @ mactual )
                                                              & ( front @ Y0 @ mactual )
                                                              & ( hollywood @ Y1 @ mactual )
                                                              & ( city @ Y1 @ mactual )
                                                              & ( event @ Y2 @ mactual )
                                                              & ( street @ Y3 @ mactual )
                                                              & ( way @ Y3 @ mactual )
                                                              & ( lonely @ Y3 @ mactual )
                                                              & ( chevy @ Y4 @ mactual )
                                                              & ( car @ Y4 @ mactual )
                                                              & ( white @ Y4 @ mactual )
                                                              & ( dirty @ Y4 @ mactual )
                                                              & ( old @ Y4 @ mactual )
                                                              & ( barrel @ Y2 @ Y4 @ mactual )
                                                              & ( down @ Y2 @ Y3 @ mactual )
                                                              & ( in @ Y2 @ Y1 @ mactual )
                                                              & ~ ( qmltpeq @ Y5 @ Y6 @ mactual )
                                                              & ( fellow @ Y5 @ mactual )
                                                              & ( man @ Y5 @ mactual )
                                                              & ( young @ Y5 @ mactual )
                                                              & ( fellow @ Y6 @ mactual )
                                                              & ( man @ Y6 @ mactual )
                                                              & ( young @ Y6 @ mactual )
                                                              & ( qmltpeq @ Y5 @ Y7 @ mactual )
                                                              & ( in @ Y7 @ sK11 @ mactual )
                                                              & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                              & ( in @ Y8 @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      = $true )
    | ~ spl0_2 ),
    inference(beta-eta_normalization,[],[f835]) ).

thf(f839,plain,
    ( ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ mactual )
                        & ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ mactual )
                              & ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( eiw_di @ Y4 @ mactual )
                                    & ( ?? @ $i
                                      @ ^ [Y5: $i] :
                                          ( ( eiw_di @ Y5 @ mactual )
                                          & ( ?? @ $i
                                            @ ^ [Y6: $i] :
                                                ( ( eiw_di @ Y6 @ mactual )
                                                & ( ?? @ $i
                                                  @ ^ [Y7: $i] :
                                                      ( ( eiw_di @ Y7 @ mactual )
                                                      & ( ?? @ $i
                                                        @ ^ [Y8: $i] :
                                                            ( ( eiw_di @ Y8 @ mactual )
                                                            & ( seat @ sK11 @ mactual )
                                                            & ( furniture @ sK11 @ mactual )
                                                            & ( front @ sK11 @ mactual )
                                                            & ( seat @ Y0 @ mactual )
                                                            & ( furniture @ Y0 @ mactual )
                                                            & ( front @ Y0 @ mactual )
                                                            & ( hollywood @ Y1 @ mactual )
                                                            & ( city @ Y1 @ mactual )
                                                            & ( event @ Y2 @ mactual )
                                                            & ( street @ Y3 @ mactual )
                                                            & ( way @ Y3 @ mactual )
                                                            & ( lonely @ Y3 @ mactual )
                                                            & ( chevy @ Y4 @ mactual )
                                                            & ( car @ Y4 @ mactual )
                                                            & ( white @ Y4 @ mactual )
                                                            & ( dirty @ Y4 @ mactual )
                                                            & ( old @ Y4 @ mactual )
                                                            & ( barrel @ Y2 @ Y4 @ mactual )
                                                            & ( down @ Y2 @ Y3 @ mactual )
                                                            & ( in @ Y2 @ Y1 @ mactual )
                                                            & ~ ( qmltpeq @ Y5 @ Y6 @ mactual )
                                                            & ( fellow @ Y5 @ mactual )
                                                            & ( man @ Y5 @ mactual )
                                                            & ( young @ Y5 @ mactual )
                                                            & ( fellow @ Y6 @ mactual )
                                                            & ( man @ Y6 @ mactual )
                                                            & ( young @ Y6 @ mactual )
                                                            & ( qmltpeq @ Y5 @ Y7 @ mactual )
                                                            & ( in @ Y7 @ sK11 @ mactual )
                                                            & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                            & ( in @ Y8 @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      = $true )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f837]) ).

thf(f840,plain,
    ( ( ( eiw_di @ sK11 @ mactual )
      = $true )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f837]) ).

thf(f845,plain,
    ( ( $true
      = ( ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ mactual )
                        & ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ mactual )
                              & ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( eiw_di @ Y4 @ mactual )
                                    & ( ?? @ $i
                                      @ ^ [Y5: $i] :
                                          ( ( eiw_di @ Y5 @ mactual )
                                          & ( ?? @ $i
                                            @ ^ [Y6: $i] :
                                                ( ( eiw_di @ Y6 @ mactual )
                                                & ( ?? @ $i
                                                  @ ^ [Y7: $i] :
                                                      ( ( eiw_di @ Y7 @ mactual )
                                                      & ( ?? @ $i
                                                        @ ^ [Y8: $i] :
                                                            ( ( eiw_di @ Y8 @ mactual )
                                                            & ( seat @ sK11 @ mactual )
                                                            & ( furniture @ sK11 @ mactual )
                                                            & ( front @ sK11 @ mactual )
                                                            & ( seat @ Y0 @ mactual )
                                                            & ( furniture @ Y0 @ mactual )
                                                            & ( front @ Y0 @ mactual )
                                                            & ( hollywood @ Y1 @ mactual )
                                                            & ( city @ Y1 @ mactual )
                                                            & ( event @ Y2 @ mactual )
                                                            & ( street @ Y3 @ mactual )
                                                            & ( way @ Y3 @ mactual )
                                                            & ( lonely @ Y3 @ mactual )
                                                            & ( chevy @ Y4 @ mactual )
                                                            & ( car @ Y4 @ mactual )
                                                            & ( white @ Y4 @ mactual )
                                                            & ( dirty @ Y4 @ mactual )
                                                            & ( old @ Y4 @ mactual )
                                                            & ( barrel @ Y2 @ Y4 @ mactual )
                                                            & ( down @ Y2 @ Y3 @ mactual )
                                                            & ( in @ Y2 @ Y1 @ mactual )
                                                            & ~ ( qmltpeq @ Y5 @ Y6 @ mactual )
                                                            & ( fellow @ Y5 @ mactual )
                                                            & ( man @ Y5 @ mactual )
                                                            & ( young @ Y5 @ mactual )
                                                            & ( fellow @ Y6 @ mactual )
                                                            & ( man @ Y6 @ mactual )
                                                            & ( young @ Y6 @ mactual )
                                                            & ( qmltpeq @ Y5 @ Y7 @ mactual )
                                                            & ( in @ Y7 @ sK11 @ mactual )
                                                            & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                            & ( in @ Y8 @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
        @ sK12 ) )
    | ~ spl0_2 ),
    inference(sigma_proxy_clausification,[],[f839]) ).

thf(f847,plain,
    ( ( ( ( eiw_di @ sK12 @ mactual )
        & ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ?? @ $i
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( ?? @ $i
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ mactual )
                                      & ( ?? @ $i
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ mactual )
                                            & ( ?? @ $i
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ mactual )
                                                  & ( ?? @ $i
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ mactual )
                                                        & ( seat @ sK11 @ mactual )
                                                        & ( furniture @ sK11 @ mactual )
                                                        & ( front @ sK11 @ mactual )
                                                        & ( seat @ sK12 @ mactual )
                                                        & ( furniture @ sK12 @ mactual )
                                                        & ( front @ sK12 @ mactual )
                                                        & ( hollywood @ Y0 @ mactual )
                                                        & ( city @ Y0 @ mactual )
                                                        & ( event @ Y1 @ mactual )
                                                        & ( street @ Y2 @ mactual )
                                                        & ( way @ Y2 @ mactual )
                                                        & ( lonely @ Y2 @ mactual )
                                                        & ( chevy @ Y3 @ mactual )
                                                        & ( car @ Y3 @ mactual )
                                                        & ( white @ Y3 @ mactual )
                                                        & ( dirty @ Y3 @ mactual )
                                                        & ( old @ Y3 @ mactual )
                                                        & ( barrel @ Y1 @ Y3 @ mactual )
                                                        & ( down @ Y1 @ Y2 @ mactual )
                                                        & ( in @ Y1 @ Y0 @ mactual )
                                                        & ~ ( qmltpeq @ Y4 @ Y5 @ mactual )
                                                        & ( fellow @ Y4 @ mactual )
                                                        & ( man @ Y4 @ mactual )
                                                        & ( young @ Y4 @ mactual )
                                                        & ( fellow @ Y5 @ mactual )
                                                        & ( man @ Y5 @ mactual )
                                                        & ( young @ Y5 @ mactual )
                                                        & ( qmltpeq @ Y4 @ Y6 @ mactual )
                                                        & ( in @ Y6 @ sK11 @ mactual )
                                                        & ( qmltpeq @ Y5 @ Y7 @ mactual )
                                                        & ( in @ Y7 @ sK12 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      = $true )
    | ~ spl0_2 ),
    inference(beta-eta_normalization,[],[f845]) ).

thf(f849,plain,
    ( ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ mactual )
                        & ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ mactual )
                              & ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( eiw_di @ Y4 @ mactual )
                                    & ( ?? @ $i
                                      @ ^ [Y5: $i] :
                                          ( ( eiw_di @ Y5 @ mactual )
                                          & ( ?? @ $i
                                            @ ^ [Y6: $i] :
                                                ( ( eiw_di @ Y6 @ mactual )
                                                & ( ?? @ $i
                                                  @ ^ [Y7: $i] :
                                                      ( ( eiw_di @ Y7 @ mactual )
                                                      & ( seat @ sK11 @ mactual )
                                                      & ( furniture @ sK11 @ mactual )
                                                      & ( front @ sK11 @ mactual )
                                                      & ( seat @ sK12 @ mactual )
                                                      & ( furniture @ sK12 @ mactual )
                                                      & ( front @ sK12 @ mactual )
                                                      & ( hollywood @ Y0 @ mactual )
                                                      & ( city @ Y0 @ mactual )
                                                      & ( event @ Y1 @ mactual )
                                                      & ( street @ Y2 @ mactual )
                                                      & ( way @ Y2 @ mactual )
                                                      & ( lonely @ Y2 @ mactual )
                                                      & ( chevy @ Y3 @ mactual )
                                                      & ( car @ Y3 @ mactual )
                                                      & ( white @ Y3 @ mactual )
                                                      & ( dirty @ Y3 @ mactual )
                                                      & ( old @ Y3 @ mactual )
                                                      & ( barrel @ Y1 @ Y3 @ mactual )
                                                      & ( down @ Y1 @ Y2 @ mactual )
                                                      & ( in @ Y1 @ Y0 @ mactual )
                                                      & ~ ( qmltpeq @ Y4 @ Y5 @ mactual )
                                                      & ( fellow @ Y4 @ mactual )
                                                      & ( man @ Y4 @ mactual )
                                                      & ( young @ Y4 @ mactual )
                                                      & ( fellow @ Y5 @ mactual )
                                                      & ( man @ Y5 @ mactual )
                                                      & ( young @ Y5 @ mactual )
                                                      & ( qmltpeq @ Y4 @ Y6 @ mactual )
                                                      & ( in @ Y6 @ sK11 @ mactual )
                                                      & ( qmltpeq @ Y5 @ Y7 @ mactual )
                                                      & ( in @ Y7 @ sK12 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      = $true )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f847]) ).

thf(f850,plain,
    ( ( ( eiw_di @ sK12 @ mactual )
      = $true )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f847]) ).

thf(f858,plain,
    ( ( ( ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ mactual )
                        & ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ mactual )
                              & ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( eiw_di @ Y4 @ mactual )
                                    & ( ?? @ $i
                                      @ ^ [Y5: $i] :
                                          ( ( eiw_di @ Y5 @ mactual )
                                          & ( ?? @ $i
                                            @ ^ [Y6: $i] :
                                                ( ( eiw_di @ Y6 @ mactual )
                                                & ( ?? @ $i
                                                  @ ^ [Y7: $i] :
                                                      ( ( eiw_di @ Y7 @ mactual )
                                                      & ( seat @ sK11 @ mactual )
                                                      & ( furniture @ sK11 @ mactual )
                                                      & ( front @ sK11 @ mactual )
                                                      & ( seat @ sK12 @ mactual )
                                                      & ( furniture @ sK12 @ mactual )
                                                      & ( front @ sK12 @ mactual )
                                                      & ( hollywood @ Y0 @ mactual )
                                                      & ( city @ Y0 @ mactual )
                                                      & ( event @ Y1 @ mactual )
                                                      & ( street @ Y2 @ mactual )
                                                      & ( way @ Y2 @ mactual )
                                                      & ( lonely @ Y2 @ mactual )
                                                      & ( chevy @ Y3 @ mactual )
                                                      & ( car @ Y3 @ mactual )
                                                      & ( white @ Y3 @ mactual )
                                                      & ( dirty @ Y3 @ mactual )
                                                      & ( old @ Y3 @ mactual )
                                                      & ( barrel @ Y1 @ Y3 @ mactual )
                                                      & ( down @ Y1 @ Y2 @ mactual )
                                                      & ( in @ Y1 @ Y0 @ mactual )
                                                      & ~ ( qmltpeq @ Y4 @ Y5 @ mactual )
                                                      & ( fellow @ Y4 @ mactual )
                                                      & ( man @ Y4 @ mactual )
                                                      & ( young @ Y4 @ mactual )
                                                      & ( fellow @ Y5 @ mactual )
                                                      & ( man @ Y5 @ mactual )
                                                      & ( young @ Y5 @ mactual )
                                                      & ( qmltpeq @ Y4 @ Y6 @ mactual )
                                                      & ( in @ Y6 @ sK11 @ mactual )
                                                      & ( qmltpeq @ Y5 @ Y7 @ mactual )
                                                      & ( in @ Y7 @ sK12 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
        @ sK13 )
      = $true )
    | ~ spl0_2 ),
    inference(sigma_proxy_clausification,[],[f849]) ).

thf(f860,plain,
    ( ( ( ( eiw_di @ sK13 @ mactual )
        & ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ?? @ $i
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( ?? @ $i
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ mactual )
                                      & ( ?? @ $i
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ mactual )
                                            & ( ?? @ $i
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ mactual )
                                                  & ( seat @ sK11 @ mactual )
                                                  & ( furniture @ sK11 @ mactual )
                                                  & ( front @ sK11 @ mactual )
                                                  & ( seat @ sK12 @ mactual )
                                                  & ( furniture @ sK12 @ mactual )
                                                  & ( front @ sK12 @ mactual )
                                                  & ( hollywood @ sK13 @ mactual )
                                                  & ( city @ sK13 @ mactual )
                                                  & ( event @ Y0 @ mactual )
                                                  & ( street @ Y1 @ mactual )
                                                  & ( way @ Y1 @ mactual )
                                                  & ( lonely @ Y1 @ mactual )
                                                  & ( chevy @ Y2 @ mactual )
                                                  & ( car @ Y2 @ mactual )
                                                  & ( white @ Y2 @ mactual )
                                                  & ( dirty @ Y2 @ mactual )
                                                  & ( old @ Y2 @ mactual )
                                                  & ( barrel @ Y0 @ Y2 @ mactual )
                                                  & ( down @ Y0 @ Y1 @ mactual )
                                                  & ( in @ Y0 @ sK13 @ mactual )
                                                  & ~ ( qmltpeq @ Y3 @ Y4 @ mactual )
                                                  & ( fellow @ Y3 @ mactual )
                                                  & ( man @ Y3 @ mactual )
                                                  & ( young @ Y3 @ mactual )
                                                  & ( fellow @ Y4 @ mactual )
                                                  & ( man @ Y4 @ mactual )
                                                  & ( young @ Y4 @ mactual )
                                                  & ( qmltpeq @ Y3 @ Y5 @ mactual )
                                                  & ( in @ Y5 @ sK11 @ mactual )
                                                  & ( qmltpeq @ Y4 @ Y6 @ mactual )
                                                  & ( in @ Y6 @ sK12 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      = $true )
    | ~ spl0_2 ),
    inference(beta-eta_normalization,[],[f858]) ).

thf(f862,plain,
    ( ( $true
      = ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ mactual )
                        & ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ mactual )
                              & ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( eiw_di @ Y4 @ mactual )
                                    & ( ?? @ $i
                                      @ ^ [Y5: $i] :
                                          ( ( eiw_di @ Y5 @ mactual )
                                          & ( ?? @ $i
                                            @ ^ [Y6: $i] :
                                                ( ( eiw_di @ Y6 @ mactual )
                                                & ( seat @ sK11 @ mactual )
                                                & ( furniture @ sK11 @ mactual )
                                                & ( front @ sK11 @ mactual )
                                                & ( seat @ sK12 @ mactual )
                                                & ( furniture @ sK12 @ mactual )
                                                & ( front @ sK12 @ mactual )
                                                & ( hollywood @ sK13 @ mactual )
                                                & ( city @ sK13 @ mactual )
                                                & ( event @ Y0 @ mactual )
                                                & ( street @ Y1 @ mactual )
                                                & ( way @ Y1 @ mactual )
                                                & ( lonely @ Y1 @ mactual )
                                                & ( chevy @ Y2 @ mactual )
                                                & ( car @ Y2 @ mactual )
                                                & ( white @ Y2 @ mactual )
                                                & ( dirty @ Y2 @ mactual )
                                                & ( old @ Y2 @ mactual )
                                                & ( barrel @ Y0 @ Y2 @ mactual )
                                                & ( down @ Y0 @ Y1 @ mactual )
                                                & ( in @ Y0 @ sK13 @ mactual )
                                                & ~ ( qmltpeq @ Y3 @ Y4 @ mactual )
                                                & ( fellow @ Y3 @ mactual )
                                                & ( man @ Y3 @ mactual )
                                                & ( young @ Y3 @ mactual )
                                                & ( fellow @ Y4 @ mactual )
                                                & ( man @ Y4 @ mactual )
                                                & ( young @ Y4 @ mactual )
                                                & ( qmltpeq @ Y3 @ Y5 @ mactual )
                                                & ( in @ Y5 @ sK11 @ mactual )
                                                & ( qmltpeq @ Y4 @ Y6 @ mactual )
                                                & ( in @ Y6 @ sK12 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f860]) ).

thf(f863,plain,
    ( ( ( eiw_di @ sK13 @ mactual )
      = $true )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f860]) ).

thf(f866,plain,
    ( ( $true
      = ( ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ mactual )
                        & ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ mactual )
                              & ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( eiw_di @ Y4 @ mactual )
                                    & ( ?? @ $i
                                      @ ^ [Y5: $i] :
                                          ( ( eiw_di @ Y5 @ mactual )
                                          & ( ?? @ $i
                                            @ ^ [Y6: $i] :
                                                ( ( eiw_di @ Y6 @ mactual )
                                                & ( seat @ sK11 @ mactual )
                                                & ( furniture @ sK11 @ mactual )
                                                & ( front @ sK11 @ mactual )
                                                & ( seat @ sK12 @ mactual )
                                                & ( furniture @ sK12 @ mactual )
                                                & ( front @ sK12 @ mactual )
                                                & ( hollywood @ sK13 @ mactual )
                                                & ( city @ sK13 @ mactual )
                                                & ( event @ Y0 @ mactual )
                                                & ( street @ Y1 @ mactual )
                                                & ( way @ Y1 @ mactual )
                                                & ( lonely @ Y1 @ mactual )
                                                & ( chevy @ Y2 @ mactual )
                                                & ( car @ Y2 @ mactual )
                                                & ( white @ Y2 @ mactual )
                                                & ( dirty @ Y2 @ mactual )
                                                & ( old @ Y2 @ mactual )
                                                & ( barrel @ Y0 @ Y2 @ mactual )
                                                & ( down @ Y0 @ Y1 @ mactual )
                                                & ( in @ Y0 @ sK13 @ mactual )
                                                & ~ ( qmltpeq @ Y3 @ Y4 @ mactual )
                                                & ( fellow @ Y3 @ mactual )
                                                & ( man @ Y3 @ mactual )
                                                & ( young @ Y3 @ mactual )
                                                & ( fellow @ Y4 @ mactual )
                                                & ( man @ Y4 @ mactual )
                                                & ( young @ Y4 @ mactual )
                                                & ( qmltpeq @ Y3 @ Y5 @ mactual )
                                                & ( in @ Y5 @ sK11 @ mactual )
                                                & ( qmltpeq @ Y4 @ Y6 @ mactual )
                                                & ( in @ Y6 @ sK12 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) )
        @ sK14 ) )
    | ~ spl0_2 ),
    inference(sigma_proxy_clausification,[],[f862]) ).

thf(f868,plain,
    ( ( $true
      = ( ( eiw_di @ sK14 @ mactual )
        & ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ?? @ $i
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( ?? @ $i
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ mactual )
                                      & ( ?? @ $i
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ mactual )
                                            & ( seat @ sK11 @ mactual )
                                            & ( furniture @ sK11 @ mactual )
                                            & ( front @ sK11 @ mactual )
                                            & ( seat @ sK12 @ mactual )
                                            & ( furniture @ sK12 @ mactual )
                                            & ( front @ sK12 @ mactual )
                                            & ( hollywood @ sK13 @ mactual )
                                            & ( city @ sK13 @ mactual )
                                            & ( event @ sK14 @ mactual )
                                            & ( street @ Y0 @ mactual )
                                            & ( way @ Y0 @ mactual )
                                            & ( lonely @ Y0 @ mactual )
                                            & ( chevy @ Y1 @ mactual )
                                            & ( car @ Y1 @ mactual )
                                            & ( white @ Y1 @ mactual )
                                            & ( dirty @ Y1 @ mactual )
                                            & ( old @ Y1 @ mactual )
                                            & ( barrel @ sK14 @ Y1 @ mactual )
                                            & ( down @ sK14 @ Y0 @ mactual )
                                            & ( in @ sK14 @ sK13 @ mactual )
                                            & ~ ( qmltpeq @ Y2 @ Y3 @ mactual )
                                            & ( fellow @ Y2 @ mactual )
                                            & ( man @ Y2 @ mactual )
                                            & ( young @ Y2 @ mactual )
                                            & ( fellow @ Y3 @ mactual )
                                            & ( man @ Y3 @ mactual )
                                            & ( young @ Y3 @ mactual )
                                            & ( qmltpeq @ Y2 @ Y4 @ mactual )
                                            & ( in @ Y4 @ sK11 @ mactual )
                                            & ( qmltpeq @ Y3 @ Y5 @ mactual )
                                            & ( in @ Y5 @ sK12 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ~ spl0_2 ),
    inference(beta-eta_normalization,[],[f866]) ).

thf(f870,plain,
    ( ( $true
      = ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ mactual )
                        & ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ mactual )
                              & ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( eiw_di @ Y4 @ mactual )
                                    & ( ?? @ $i
                                      @ ^ [Y5: $i] :
                                          ( ( eiw_di @ Y5 @ mactual )
                                          & ( seat @ sK11 @ mactual )
                                          & ( furniture @ sK11 @ mactual )
                                          & ( front @ sK11 @ mactual )
                                          & ( seat @ sK12 @ mactual )
                                          & ( furniture @ sK12 @ mactual )
                                          & ( front @ sK12 @ mactual )
                                          & ( hollywood @ sK13 @ mactual )
                                          & ( city @ sK13 @ mactual )
                                          & ( event @ sK14 @ mactual )
                                          & ( street @ Y0 @ mactual )
                                          & ( way @ Y0 @ mactual )
                                          & ( lonely @ Y0 @ mactual )
                                          & ( chevy @ Y1 @ mactual )
                                          & ( car @ Y1 @ mactual )
                                          & ( white @ Y1 @ mactual )
                                          & ( dirty @ Y1 @ mactual )
                                          & ( old @ Y1 @ mactual )
                                          & ( barrel @ sK14 @ Y1 @ mactual )
                                          & ( down @ sK14 @ Y0 @ mactual )
                                          & ( in @ sK14 @ sK13 @ mactual )
                                          & ~ ( qmltpeq @ Y2 @ Y3 @ mactual )
                                          & ( fellow @ Y2 @ mactual )
                                          & ( man @ Y2 @ mactual )
                                          & ( young @ Y2 @ mactual )
                                          & ( fellow @ Y3 @ mactual )
                                          & ( man @ Y3 @ mactual )
                                          & ( young @ Y3 @ mactual )
                                          & ( qmltpeq @ Y2 @ Y4 @ mactual )
                                          & ( in @ Y4 @ sK11 @ mactual )
                                          & ( qmltpeq @ Y3 @ Y5 @ mactual )
                                          & ( in @ Y5 @ sK12 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f868]) ).

thf(f871,plain,
    ( ( ( eiw_di @ sK14 @ mactual )
      = $true )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f868]) ).

thf(f874,plain,
    ( ( ( ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ mactual )
                        & ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ mactual )
                              & ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( eiw_di @ Y4 @ mactual )
                                    & ( ?? @ $i
                                      @ ^ [Y5: $i] :
                                          ( ( eiw_di @ Y5 @ mactual )
                                          & ( seat @ sK11 @ mactual )
                                          & ( furniture @ sK11 @ mactual )
                                          & ( front @ sK11 @ mactual )
                                          & ( seat @ sK12 @ mactual )
                                          & ( furniture @ sK12 @ mactual )
                                          & ( front @ sK12 @ mactual )
                                          & ( hollywood @ sK13 @ mactual )
                                          & ( city @ sK13 @ mactual )
                                          & ( event @ sK14 @ mactual )
                                          & ( street @ Y0 @ mactual )
                                          & ( way @ Y0 @ mactual )
                                          & ( lonely @ Y0 @ mactual )
                                          & ( chevy @ Y1 @ mactual )
                                          & ( car @ Y1 @ mactual )
                                          & ( white @ Y1 @ mactual )
                                          & ( dirty @ Y1 @ mactual )
                                          & ( old @ Y1 @ mactual )
                                          & ( barrel @ sK14 @ Y1 @ mactual )
                                          & ( down @ sK14 @ Y0 @ mactual )
                                          & ( in @ sK14 @ sK13 @ mactual )
                                          & ~ ( qmltpeq @ Y2 @ Y3 @ mactual )
                                          & ( fellow @ Y2 @ mactual )
                                          & ( man @ Y2 @ mactual )
                                          & ( young @ Y2 @ mactual )
                                          & ( fellow @ Y3 @ mactual )
                                          & ( man @ Y3 @ mactual )
                                          & ( young @ Y3 @ mactual )
                                          & ( qmltpeq @ Y2 @ Y4 @ mactual )
                                          & ( in @ Y4 @ sK11 @ mactual )
                                          & ( qmltpeq @ Y3 @ Y5 @ mactual )
                                          & ( in @ Y5 @ sK12 @ mactual ) ) ) ) ) ) ) ) ) ) ) )
        @ sK15 )
      = $true )
    | ~ spl0_2 ),
    inference(sigma_proxy_clausification,[],[f870]) ).

thf(f877,plain,
    ( ( $true
      = ( ( eiw_di @ sK15 @ mactual )
        & ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ?? @ $i
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( ?? @ $i
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ mactual )
                                      & ( seat @ sK11 @ mactual )
                                      & ( furniture @ sK11 @ mactual )
                                      & ( front @ sK11 @ mactual )
                                      & ( seat @ sK12 @ mactual )
                                      & ( furniture @ sK12 @ mactual )
                                      & ( front @ sK12 @ mactual )
                                      & ( hollywood @ sK13 @ mactual )
                                      & ( city @ sK13 @ mactual )
                                      & ( event @ sK14 @ mactual )
                                      & ( street @ sK15 @ mactual )
                                      & ( way @ sK15 @ mactual )
                                      & ( lonely @ sK15 @ mactual )
                                      & ( chevy @ Y0 @ mactual )
                                      & ( car @ Y0 @ mactual )
                                      & ( white @ Y0 @ mactual )
                                      & ( dirty @ Y0 @ mactual )
                                      & ( old @ Y0 @ mactual )
                                      & ( barrel @ sK14 @ Y0 @ mactual )
                                      & ( down @ sK14 @ sK15 @ mactual )
                                      & ( in @ sK14 @ sK13 @ mactual )
                                      & ~ ( qmltpeq @ Y1 @ Y2 @ mactual )
                                      & ( fellow @ Y1 @ mactual )
                                      & ( man @ Y1 @ mactual )
                                      & ( young @ Y1 @ mactual )
                                      & ( fellow @ Y2 @ mactual )
                                      & ( man @ Y2 @ mactual )
                                      & ( young @ Y2 @ mactual )
                                      & ( qmltpeq @ Y1 @ Y3 @ mactual )
                                      & ( in @ Y3 @ sK11 @ mactual )
                                      & ( qmltpeq @ Y2 @ Y4 @ mactual )
                                      & ( in @ Y4 @ sK12 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) )
    | ~ spl0_2 ),
    inference(beta-eta_normalization,[],[f874]) ).

thf(f878,plain,
    ( ( $true
      = ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ mactual )
                        & ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ mactual )
                              & ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( eiw_di @ Y4 @ mactual )
                                    & ( seat @ sK11 @ mactual )
                                    & ( furniture @ sK11 @ mactual )
                                    & ( front @ sK11 @ mactual )
                                    & ( seat @ sK12 @ mactual )
                                    & ( furniture @ sK12 @ mactual )
                                    & ( front @ sK12 @ mactual )
                                    & ( hollywood @ sK13 @ mactual )
                                    & ( city @ sK13 @ mactual )
                                    & ( event @ sK14 @ mactual )
                                    & ( street @ sK15 @ mactual )
                                    & ( way @ sK15 @ mactual )
                                    & ( lonely @ sK15 @ mactual )
                                    & ( chevy @ Y0 @ mactual )
                                    & ( car @ Y0 @ mactual )
                                    & ( white @ Y0 @ mactual )
                                    & ( dirty @ Y0 @ mactual )
                                    & ( old @ Y0 @ mactual )
                                    & ( barrel @ sK14 @ Y0 @ mactual )
                                    & ( down @ sK14 @ sK15 @ mactual )
                                    & ( in @ sK14 @ sK13 @ mactual )
                                    & ~ ( qmltpeq @ Y1 @ Y2 @ mactual )
                                    & ( fellow @ Y1 @ mactual )
                                    & ( man @ Y1 @ mactual )
                                    & ( young @ Y1 @ mactual )
                                    & ( fellow @ Y2 @ mactual )
                                    & ( man @ Y2 @ mactual )
                                    & ( young @ Y2 @ mactual )
                                    & ( qmltpeq @ Y1 @ Y3 @ mactual )
                                    & ( in @ Y3 @ sK11 @ mactual )
                                    & ( qmltpeq @ Y2 @ Y4 @ mactual )
                                    & ( in @ Y4 @ sK12 @ mactual ) ) ) ) ) ) ) ) ) ) ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f877]) ).

thf(f879,plain,
    ( ( $true
      = ( eiw_di @ sK15 @ mactual ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f877]) ).

thf(f882,plain,
    ( ( $true
      = ( ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ mactual )
                        & ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ mactual )
                              & ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( eiw_di @ Y4 @ mactual )
                                    & ( seat @ sK11 @ mactual )
                                    & ( furniture @ sK11 @ mactual )
                                    & ( front @ sK11 @ mactual )
                                    & ( seat @ sK12 @ mactual )
                                    & ( furniture @ sK12 @ mactual )
                                    & ( front @ sK12 @ mactual )
                                    & ( hollywood @ sK13 @ mactual )
                                    & ( city @ sK13 @ mactual )
                                    & ( event @ sK14 @ mactual )
                                    & ( street @ sK15 @ mactual )
                                    & ( way @ sK15 @ mactual )
                                    & ( lonely @ sK15 @ mactual )
                                    & ( chevy @ Y0 @ mactual )
                                    & ( car @ Y0 @ mactual )
                                    & ( white @ Y0 @ mactual )
                                    & ( dirty @ Y0 @ mactual )
                                    & ( old @ Y0 @ mactual )
                                    & ( barrel @ sK14 @ Y0 @ mactual )
                                    & ( down @ sK14 @ sK15 @ mactual )
                                    & ( in @ sK14 @ sK13 @ mactual )
                                    & ~ ( qmltpeq @ Y1 @ Y2 @ mactual )
                                    & ( fellow @ Y1 @ mactual )
                                    & ( man @ Y1 @ mactual )
                                    & ( young @ Y1 @ mactual )
                                    & ( fellow @ Y2 @ mactual )
                                    & ( man @ Y2 @ mactual )
                                    & ( young @ Y2 @ mactual )
                                    & ( qmltpeq @ Y1 @ Y3 @ mactual )
                                    & ( in @ Y3 @ sK11 @ mactual )
                                    & ( qmltpeq @ Y2 @ Y4 @ mactual )
                                    & ( in @ Y4 @ sK12 @ mactual ) ) ) ) ) ) ) ) ) )
        @ sK16 ) )
    | ~ spl0_2 ),
    inference(sigma_proxy_clausification,[],[f878]) ).

thf(f884,plain,
    ( ( $true
      = ( ( eiw_di @ sK16 @ mactual )
        & ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ?? @ $i
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( seat @ sK11 @ mactual )
                                & ( furniture @ sK11 @ mactual )
                                & ( front @ sK11 @ mactual )
                                & ( seat @ sK12 @ mactual )
                                & ( furniture @ sK12 @ mactual )
                                & ( front @ sK12 @ mactual )
                                & ( hollywood @ sK13 @ mactual )
                                & ( city @ sK13 @ mactual )
                                & ( event @ sK14 @ mactual )
                                & ( street @ sK15 @ mactual )
                                & ( way @ sK15 @ mactual )
                                & ( lonely @ sK15 @ mactual )
                                & ( chevy @ sK16 @ mactual )
                                & ( car @ sK16 @ mactual )
                                & ( white @ sK16 @ mactual )
                                & ( dirty @ sK16 @ mactual )
                                & ( old @ sK16 @ mactual )
                                & ( barrel @ sK14 @ sK16 @ mactual )
                                & ( down @ sK14 @ sK15 @ mactual )
                                & ( in @ sK14 @ sK13 @ mactual )
                                & ~ ( qmltpeq @ Y0 @ Y1 @ mactual )
                                & ( fellow @ Y0 @ mactual )
                                & ( man @ Y0 @ mactual )
                                & ( young @ Y0 @ mactual )
                                & ( fellow @ Y1 @ mactual )
                                & ( man @ Y1 @ mactual )
                                & ( young @ Y1 @ mactual )
                                & ( qmltpeq @ Y0 @ Y2 @ mactual )
                                & ( in @ Y2 @ sK11 @ mactual )
                                & ( qmltpeq @ Y1 @ Y3 @ mactual )
                                & ( in @ Y3 @ sK12 @ mactual ) ) ) ) ) ) ) ) ) ) )
    | ~ spl0_2 ),
    inference(beta-eta_normalization,[],[f882]) ).

thf(f886,plain,
    ( ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ mactual )
                        & ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ mactual )
                              & ( seat @ sK11 @ mactual )
                              & ( furniture @ sK11 @ mactual )
                              & ( front @ sK11 @ mactual )
                              & ( seat @ sK12 @ mactual )
                              & ( furniture @ sK12 @ mactual )
                              & ( front @ sK12 @ mactual )
                              & ( hollywood @ sK13 @ mactual )
                              & ( city @ sK13 @ mactual )
                              & ( event @ sK14 @ mactual )
                              & ( street @ sK15 @ mactual )
                              & ( way @ sK15 @ mactual )
                              & ( lonely @ sK15 @ mactual )
                              & ( chevy @ sK16 @ mactual )
                              & ( car @ sK16 @ mactual )
                              & ( white @ sK16 @ mactual )
                              & ( dirty @ sK16 @ mactual )
                              & ( old @ sK16 @ mactual )
                              & ( barrel @ sK14 @ sK16 @ mactual )
                              & ( down @ sK14 @ sK15 @ mactual )
                              & ( in @ sK14 @ sK13 @ mactual )
                              & ~ ( qmltpeq @ Y0 @ Y1 @ mactual )
                              & ( fellow @ Y0 @ mactual )
                              & ( man @ Y0 @ mactual )
                              & ( young @ Y0 @ mactual )
                              & ( fellow @ Y1 @ mactual )
                              & ( man @ Y1 @ mactual )
                              & ( young @ Y1 @ mactual )
                              & ( qmltpeq @ Y0 @ Y2 @ mactual )
                              & ( in @ Y2 @ sK11 @ mactual )
                              & ( qmltpeq @ Y1 @ Y3 @ mactual )
                              & ( in @ Y3 @ sK12 @ mactual ) ) ) ) ) ) ) ) )
      = $true )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f884]) ).

thf(f887,plain,
    ( ( ( eiw_di @ sK16 @ mactual )
      = $true )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f884]) ).

thf(f890,plain,
    ( ( ( ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ mactual )
                        & ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ mactual )
                              & ( seat @ sK11 @ mactual )
                              & ( furniture @ sK11 @ mactual )
                              & ( front @ sK11 @ mactual )
                              & ( seat @ sK12 @ mactual )
                              & ( furniture @ sK12 @ mactual )
                              & ( front @ sK12 @ mactual )
                              & ( hollywood @ sK13 @ mactual )
                              & ( city @ sK13 @ mactual )
                              & ( event @ sK14 @ mactual )
                              & ( street @ sK15 @ mactual )
                              & ( way @ sK15 @ mactual )
                              & ( lonely @ sK15 @ mactual )
                              & ( chevy @ sK16 @ mactual )
                              & ( car @ sK16 @ mactual )
                              & ( white @ sK16 @ mactual )
                              & ( dirty @ sK16 @ mactual )
                              & ( old @ sK16 @ mactual )
                              & ( barrel @ sK14 @ sK16 @ mactual )
                              & ( down @ sK14 @ sK15 @ mactual )
                              & ( in @ sK14 @ sK13 @ mactual )
                              & ~ ( qmltpeq @ Y0 @ Y1 @ mactual )
                              & ( fellow @ Y0 @ mactual )
                              & ( man @ Y0 @ mactual )
                              & ( young @ Y0 @ mactual )
                              & ( fellow @ Y1 @ mactual )
                              & ( man @ Y1 @ mactual )
                              & ( young @ Y1 @ mactual )
                              & ( qmltpeq @ Y0 @ Y2 @ mactual )
                              & ( in @ Y2 @ sK11 @ mactual )
                              & ( qmltpeq @ Y1 @ Y3 @ mactual )
                              & ( in @ Y3 @ sK12 @ mactual ) ) ) ) ) ) ) )
        @ sK17 )
      = $true )
    | ~ spl0_2 ),
    inference(sigma_proxy_clausification,[],[f886]) ).

thf(f892,plain,
    ( ( $true
      = ( ( eiw_di @ sK17 @ mactual )
        & ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( seat @ sK11 @ mactual )
                          & ( furniture @ sK11 @ mactual )
                          & ( front @ sK11 @ mactual )
                          & ( seat @ sK12 @ mactual )
                          & ( furniture @ sK12 @ mactual )
                          & ( front @ sK12 @ mactual )
                          & ( hollywood @ sK13 @ mactual )
                          & ( city @ sK13 @ mactual )
                          & ( event @ sK14 @ mactual )
                          & ( street @ sK15 @ mactual )
                          & ( way @ sK15 @ mactual )
                          & ( lonely @ sK15 @ mactual )
                          & ( chevy @ sK16 @ mactual )
                          & ( car @ sK16 @ mactual )
                          & ( white @ sK16 @ mactual )
                          & ( dirty @ sK16 @ mactual )
                          & ( old @ sK16 @ mactual )
                          & ( barrel @ sK14 @ sK16 @ mactual )
                          & ( down @ sK14 @ sK15 @ mactual )
                          & ( in @ sK14 @ sK13 @ mactual )
                          & ~ ( qmltpeq @ sK17 @ Y0 @ mactual )
                          & ( fellow @ sK17 @ mactual )
                          & ( man @ sK17 @ mactual )
                          & ( young @ sK17 @ mactual )
                          & ( fellow @ Y0 @ mactual )
                          & ( man @ Y0 @ mactual )
                          & ( young @ Y0 @ mactual )
                          & ( qmltpeq @ sK17 @ Y1 @ mactual )
                          & ( in @ Y1 @ sK11 @ mactual )
                          & ( qmltpeq @ Y0 @ Y2 @ mactual )
                          & ( in @ Y2 @ sK12 @ mactual ) ) ) ) ) ) ) ) )
    | ~ spl0_2 ),
    inference(beta-eta_normalization,[],[f890]) ).

thf(f894,plain,
    ( ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ mactual )
                        & ( seat @ sK11 @ mactual )
                        & ( furniture @ sK11 @ mactual )
                        & ( front @ sK11 @ mactual )
                        & ( seat @ sK12 @ mactual )
                        & ( furniture @ sK12 @ mactual )
                        & ( front @ sK12 @ mactual )
                        & ( hollywood @ sK13 @ mactual )
                        & ( city @ sK13 @ mactual )
                        & ( event @ sK14 @ mactual )
                        & ( street @ sK15 @ mactual )
                        & ( way @ sK15 @ mactual )
                        & ( lonely @ sK15 @ mactual )
                        & ( chevy @ sK16 @ mactual )
                        & ( car @ sK16 @ mactual )
                        & ( white @ sK16 @ mactual )
                        & ( dirty @ sK16 @ mactual )
                        & ( old @ sK16 @ mactual )
                        & ( barrel @ sK14 @ sK16 @ mactual )
                        & ( down @ sK14 @ sK15 @ mactual )
                        & ( in @ sK14 @ sK13 @ mactual )
                        & ~ ( qmltpeq @ sK17 @ Y0 @ mactual )
                        & ( fellow @ sK17 @ mactual )
                        & ( man @ sK17 @ mactual )
                        & ( young @ sK17 @ mactual )
                        & ( fellow @ Y0 @ mactual )
                        & ( man @ Y0 @ mactual )
                        & ( young @ Y0 @ mactual )
                        & ( qmltpeq @ sK17 @ Y1 @ mactual )
                        & ( in @ Y1 @ sK11 @ mactual )
                        & ( qmltpeq @ Y0 @ Y2 @ mactual )
                        & ( in @ Y2 @ sK12 @ mactual ) ) ) ) ) ) )
      = $true )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f892]) ).

thf(f895,plain,
    ( ( ( eiw_di @ sK17 @ mactual )
      = $true )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f892]) ).

thf(f898,plain,
    ( ( $true
      = ( ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ mactual )
                        & ( seat @ sK11 @ mactual )
                        & ( furniture @ sK11 @ mactual )
                        & ( front @ sK11 @ mactual )
                        & ( seat @ sK12 @ mactual )
                        & ( furniture @ sK12 @ mactual )
                        & ( front @ sK12 @ mactual )
                        & ( hollywood @ sK13 @ mactual )
                        & ( city @ sK13 @ mactual )
                        & ( event @ sK14 @ mactual )
                        & ( street @ sK15 @ mactual )
                        & ( way @ sK15 @ mactual )
                        & ( lonely @ sK15 @ mactual )
                        & ( chevy @ sK16 @ mactual )
                        & ( car @ sK16 @ mactual )
                        & ( white @ sK16 @ mactual )
                        & ( dirty @ sK16 @ mactual )
                        & ( old @ sK16 @ mactual )
                        & ( barrel @ sK14 @ sK16 @ mactual )
                        & ( down @ sK14 @ sK15 @ mactual )
                        & ( in @ sK14 @ sK13 @ mactual )
                        & ~ ( qmltpeq @ sK17 @ Y0 @ mactual )
                        & ( fellow @ sK17 @ mactual )
                        & ( man @ sK17 @ mactual )
                        & ( young @ sK17 @ mactual )
                        & ( fellow @ Y0 @ mactual )
                        & ( man @ Y0 @ mactual )
                        & ( young @ Y0 @ mactual )
                        & ( qmltpeq @ sK17 @ Y1 @ mactual )
                        & ( in @ Y1 @ sK11 @ mactual )
                        & ( qmltpeq @ Y0 @ Y2 @ mactual )
                        & ( in @ Y2 @ sK12 @ mactual ) ) ) ) ) )
        @ sK18 ) )
    | ~ spl0_2 ),
    inference(sigma_proxy_clausification,[],[f894]) ).

thf(f901,plain,
    ( ( $true
      = ( ( eiw_di @ sK18 @ mactual )
        & ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( seat @ sK11 @ mactual )
                    & ( furniture @ sK11 @ mactual )
                    & ( front @ sK11 @ mactual )
                    & ( seat @ sK12 @ mactual )
                    & ( furniture @ sK12 @ mactual )
                    & ( front @ sK12 @ mactual )
                    & ( hollywood @ sK13 @ mactual )
                    & ( city @ sK13 @ mactual )
                    & ( event @ sK14 @ mactual )
                    & ( street @ sK15 @ mactual )
                    & ( way @ sK15 @ mactual )
                    & ( lonely @ sK15 @ mactual )
                    & ( chevy @ sK16 @ mactual )
                    & ( car @ sK16 @ mactual )
                    & ( white @ sK16 @ mactual )
                    & ( dirty @ sK16 @ mactual )
                    & ( old @ sK16 @ mactual )
                    & ( barrel @ sK14 @ sK16 @ mactual )
                    & ( down @ sK14 @ sK15 @ mactual )
                    & ( in @ sK14 @ sK13 @ mactual )
                    & ~ ( qmltpeq @ sK17 @ sK18 @ mactual )
                    & ( fellow @ sK17 @ mactual )
                    & ( man @ sK17 @ mactual )
                    & ( young @ sK17 @ mactual )
                    & ( fellow @ sK18 @ mactual )
                    & ( man @ sK18 @ mactual )
                    & ( young @ sK18 @ mactual )
                    & ( qmltpeq @ sK17 @ Y0 @ mactual )
                    & ( in @ Y0 @ sK11 @ mactual )
                    & ( qmltpeq @ sK18 @ Y1 @ mactual )
                    & ( in @ Y1 @ sK12 @ mactual ) ) ) ) ) ) )
    | ~ spl0_2 ),
    inference(beta-eta_normalization,[],[f898]) ).

thf(f902,plain,
    ( ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( seat @ sK11 @ mactual )
                  & ( furniture @ sK11 @ mactual )
                  & ( front @ sK11 @ mactual )
                  & ( seat @ sK12 @ mactual )
                  & ( furniture @ sK12 @ mactual )
                  & ( front @ sK12 @ mactual )
                  & ( hollywood @ sK13 @ mactual )
                  & ( city @ sK13 @ mactual )
                  & ( event @ sK14 @ mactual )
                  & ( street @ sK15 @ mactual )
                  & ( way @ sK15 @ mactual )
                  & ( lonely @ sK15 @ mactual )
                  & ( chevy @ sK16 @ mactual )
                  & ( car @ sK16 @ mactual )
                  & ( white @ sK16 @ mactual )
                  & ( dirty @ sK16 @ mactual )
                  & ( old @ sK16 @ mactual )
                  & ( barrel @ sK14 @ sK16 @ mactual )
                  & ( down @ sK14 @ sK15 @ mactual )
                  & ( in @ sK14 @ sK13 @ mactual )
                  & ~ ( qmltpeq @ sK17 @ sK18 @ mactual )
                  & ( fellow @ sK17 @ mactual )
                  & ( man @ sK17 @ mactual )
                  & ( young @ sK17 @ mactual )
                  & ( fellow @ sK18 @ mactual )
                  & ( man @ sK18 @ mactual )
                  & ( young @ sK18 @ mactual )
                  & ( qmltpeq @ sK17 @ Y0 @ mactual )
                  & ( in @ Y0 @ sK11 @ mactual )
                  & ( qmltpeq @ sK18 @ Y1 @ mactual )
                  & ( in @ Y1 @ sK12 @ mactual ) ) ) ) )
      = $true )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f901]) ).

thf(f903,plain,
    ( ( ( eiw_di @ sK18 @ mactual )
      = $true )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f901]) ).

thf(f906,plain,
    ( ( $true
      = ( ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( seat @ sK11 @ mactual )
                  & ( furniture @ sK11 @ mactual )
                  & ( front @ sK11 @ mactual )
                  & ( seat @ sK12 @ mactual )
                  & ( furniture @ sK12 @ mactual )
                  & ( front @ sK12 @ mactual )
                  & ( hollywood @ sK13 @ mactual )
                  & ( city @ sK13 @ mactual )
                  & ( event @ sK14 @ mactual )
                  & ( street @ sK15 @ mactual )
                  & ( way @ sK15 @ mactual )
                  & ( lonely @ sK15 @ mactual )
                  & ( chevy @ sK16 @ mactual )
                  & ( car @ sK16 @ mactual )
                  & ( white @ sK16 @ mactual )
                  & ( dirty @ sK16 @ mactual )
                  & ( old @ sK16 @ mactual )
                  & ( barrel @ sK14 @ sK16 @ mactual )
                  & ( down @ sK14 @ sK15 @ mactual )
                  & ( in @ sK14 @ sK13 @ mactual )
                  & ~ ( qmltpeq @ sK17 @ sK18 @ mactual )
                  & ( fellow @ sK17 @ mactual )
                  & ( man @ sK17 @ mactual )
                  & ( young @ sK17 @ mactual )
                  & ( fellow @ sK18 @ mactual )
                  & ( man @ sK18 @ mactual )
                  & ( young @ sK18 @ mactual )
                  & ( qmltpeq @ sK17 @ Y0 @ mactual )
                  & ( in @ Y0 @ sK11 @ mactual )
                  & ( qmltpeq @ sK18 @ Y1 @ mactual )
                  & ( in @ Y1 @ sK12 @ mactual ) ) ) )
        @ sK19 ) )
    | ~ spl0_2 ),
    inference(sigma_proxy_clausification,[],[f902]) ).

thf(f908,plain,
    ( ( $true
      = ( ( eiw_di @ sK19 @ mactual )
        & ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( seat @ sK11 @ mactual )
              & ( furniture @ sK11 @ mactual )
              & ( front @ sK11 @ mactual )
              & ( seat @ sK12 @ mactual )
              & ( furniture @ sK12 @ mactual )
              & ( front @ sK12 @ mactual )
              & ( hollywood @ sK13 @ mactual )
              & ( city @ sK13 @ mactual )
              & ( event @ sK14 @ mactual )
              & ( street @ sK15 @ mactual )
              & ( way @ sK15 @ mactual )
              & ( lonely @ sK15 @ mactual )
              & ( chevy @ sK16 @ mactual )
              & ( car @ sK16 @ mactual )
              & ( white @ sK16 @ mactual )
              & ( dirty @ sK16 @ mactual )
              & ( old @ sK16 @ mactual )
              & ( barrel @ sK14 @ sK16 @ mactual )
              & ( down @ sK14 @ sK15 @ mactual )
              & ( in @ sK14 @ sK13 @ mactual )
              & ~ ( qmltpeq @ sK17 @ sK18 @ mactual )
              & ( fellow @ sK17 @ mactual )
              & ( man @ sK17 @ mactual )
              & ( young @ sK17 @ mactual )
              & ( fellow @ sK18 @ mactual )
              & ( man @ sK18 @ mactual )
              & ( young @ sK18 @ mactual )
              & ( qmltpeq @ sK17 @ sK19 @ mactual )
              & ( in @ sK19 @ sK11 @ mactual )
              & ( qmltpeq @ sK18 @ Y0 @ mactual )
              & ( in @ Y0 @ sK12 @ mactual ) ) ) ) )
    | ~ spl0_2 ),
    inference(beta-eta_normalization,[],[f906]) ).

thf(f910,plain,
    ( ( $true
      = ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( seat @ sK11 @ mactual )
            & ( furniture @ sK11 @ mactual )
            & ( front @ sK11 @ mactual )
            & ( seat @ sK12 @ mactual )
            & ( furniture @ sK12 @ mactual )
            & ( front @ sK12 @ mactual )
            & ( hollywood @ sK13 @ mactual )
            & ( city @ sK13 @ mactual )
            & ( event @ sK14 @ mactual )
            & ( street @ sK15 @ mactual )
            & ( way @ sK15 @ mactual )
            & ( lonely @ sK15 @ mactual )
            & ( chevy @ sK16 @ mactual )
            & ( car @ sK16 @ mactual )
            & ( white @ sK16 @ mactual )
            & ( dirty @ sK16 @ mactual )
            & ( old @ sK16 @ mactual )
            & ( barrel @ sK14 @ sK16 @ mactual )
            & ( down @ sK14 @ sK15 @ mactual )
            & ( in @ sK14 @ sK13 @ mactual )
            & ~ ( qmltpeq @ sK17 @ sK18 @ mactual )
            & ( fellow @ sK17 @ mactual )
            & ( man @ sK17 @ mactual )
            & ( young @ sK17 @ mactual )
            & ( fellow @ sK18 @ mactual )
            & ( man @ sK18 @ mactual )
            & ( young @ sK18 @ mactual )
            & ( qmltpeq @ sK17 @ sK19 @ mactual )
            & ( in @ sK19 @ sK11 @ mactual )
            & ( qmltpeq @ sK18 @ Y0 @ mactual )
            & ( in @ Y0 @ sK12 @ mactual ) ) ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f908]) ).

thf(f911,plain,
    ( ( $true
      = ( eiw_di @ sK19 @ mactual ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f908]) ).

thf(f914,plain,
    ( ( ( ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( seat @ sK11 @ mactual )
            & ( furniture @ sK11 @ mactual )
            & ( front @ sK11 @ mactual )
            & ( seat @ sK12 @ mactual )
            & ( furniture @ sK12 @ mactual )
            & ( front @ sK12 @ mactual )
            & ( hollywood @ sK13 @ mactual )
            & ( city @ sK13 @ mactual )
            & ( event @ sK14 @ mactual )
            & ( street @ sK15 @ mactual )
            & ( way @ sK15 @ mactual )
            & ( lonely @ sK15 @ mactual )
            & ( chevy @ sK16 @ mactual )
            & ( car @ sK16 @ mactual )
            & ( white @ sK16 @ mactual )
            & ( dirty @ sK16 @ mactual )
            & ( old @ sK16 @ mactual )
            & ( barrel @ sK14 @ sK16 @ mactual )
            & ( down @ sK14 @ sK15 @ mactual )
            & ( in @ sK14 @ sK13 @ mactual )
            & ~ ( qmltpeq @ sK17 @ sK18 @ mactual )
            & ( fellow @ sK17 @ mactual )
            & ( man @ sK17 @ mactual )
            & ( young @ sK17 @ mactual )
            & ( fellow @ sK18 @ mactual )
            & ( man @ sK18 @ mactual )
            & ( young @ sK18 @ mactual )
            & ( qmltpeq @ sK17 @ sK19 @ mactual )
            & ( in @ sK19 @ sK11 @ mactual )
            & ( qmltpeq @ sK18 @ Y0 @ mactual )
            & ( in @ Y0 @ sK12 @ mactual ) )
        @ sK20 )
      = $true )
    | ~ spl0_2 ),
    inference(sigma_proxy_clausification,[],[f910]) ).

thf(f916,plain,
    ( ( ( ( eiw_di @ sK20 @ mactual )
        & ( seat @ sK11 @ mactual )
        & ( furniture @ sK11 @ mactual )
        & ( front @ sK11 @ mactual )
        & ( seat @ sK12 @ mactual )
        & ( furniture @ sK12 @ mactual )
        & ( front @ sK12 @ mactual )
        & ( hollywood @ sK13 @ mactual )
        & ( city @ sK13 @ mactual )
        & ( event @ sK14 @ mactual )
        & ( street @ sK15 @ mactual )
        & ( way @ sK15 @ mactual )
        & ( lonely @ sK15 @ mactual )
        & ( chevy @ sK16 @ mactual )
        & ( car @ sK16 @ mactual )
        & ( white @ sK16 @ mactual )
        & ( dirty @ sK16 @ mactual )
        & ( old @ sK16 @ mactual )
        & ( barrel @ sK14 @ sK16 @ mactual )
        & ( down @ sK14 @ sK15 @ mactual )
        & ( in @ sK14 @ sK13 @ mactual )
        & ~ ( qmltpeq @ sK17 @ sK18 @ mactual )
        & ( fellow @ sK17 @ mactual )
        & ( man @ sK17 @ mactual )
        & ( young @ sK17 @ mactual )
        & ( fellow @ sK18 @ mactual )
        & ( man @ sK18 @ mactual )
        & ( young @ sK18 @ mactual )
        & ( qmltpeq @ sK17 @ sK19 @ mactual )
        & ( in @ sK19 @ sK11 @ mactual )
        & ( qmltpeq @ sK18 @ sK20 @ mactual )
        & ( in @ sK20 @ sK12 @ mactual ) )
      = $true )
    | ~ spl0_2 ),
    inference(beta-eta_normalization,[],[f914]) ).

thf(f918,plain,
    ( ( $true
      = ( ( seat @ sK11 @ mactual )
        & ( furniture @ sK11 @ mactual )
        & ( front @ sK11 @ mactual )
        & ( seat @ sK12 @ mactual )
        & ( furniture @ sK12 @ mactual )
        & ( front @ sK12 @ mactual )
        & ( hollywood @ sK13 @ mactual )
        & ( city @ sK13 @ mactual )
        & ( event @ sK14 @ mactual )
        & ( street @ sK15 @ mactual )
        & ( way @ sK15 @ mactual )
        & ( lonely @ sK15 @ mactual )
        & ( chevy @ sK16 @ mactual )
        & ( car @ sK16 @ mactual )
        & ( white @ sK16 @ mactual )
        & ( dirty @ sK16 @ mactual )
        & ( old @ sK16 @ mactual )
        & ( barrel @ sK14 @ sK16 @ mactual )
        & ( down @ sK14 @ sK15 @ mactual )
        & ( in @ sK14 @ sK13 @ mactual )
        & ~ ( qmltpeq @ sK17 @ sK18 @ mactual )
        & ( fellow @ sK17 @ mactual )
        & ( man @ sK17 @ mactual )
        & ( young @ sK17 @ mactual )
        & ( fellow @ sK18 @ mactual )
        & ( man @ sK18 @ mactual )
        & ( young @ sK18 @ mactual )
        & ( qmltpeq @ sK17 @ sK19 @ mactual )
        & ( in @ sK19 @ sK11 @ mactual )
        & ( qmltpeq @ sK18 @ sK20 @ mactual )
        & ( in @ sK20 @ sK12 @ mactual ) ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f916]) ).

thf(f919,plain,
    ( ( ( eiw_di @ sK20 @ mactual )
      = $true )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f916]) ).

thf(f920,plain,
    ( ( $true
      = ( ( furniture @ sK11 @ mactual )
        & ( front @ sK11 @ mactual )
        & ( seat @ sK12 @ mactual )
        & ( furniture @ sK12 @ mactual )
        & ( front @ sK12 @ mactual )
        & ( hollywood @ sK13 @ mactual )
        & ( city @ sK13 @ mactual )
        & ( event @ sK14 @ mactual )
        & ( street @ sK15 @ mactual )
        & ( way @ sK15 @ mactual )
        & ( lonely @ sK15 @ mactual )
        & ( chevy @ sK16 @ mactual )
        & ( car @ sK16 @ mactual )
        & ( white @ sK16 @ mactual )
        & ( dirty @ sK16 @ mactual )
        & ( old @ sK16 @ mactual )
        & ( barrel @ sK14 @ sK16 @ mactual )
        & ( down @ sK14 @ sK15 @ mactual )
        & ( in @ sK14 @ sK13 @ mactual )
        & ~ ( qmltpeq @ sK17 @ sK18 @ mactual )
        & ( fellow @ sK17 @ mactual )
        & ( man @ sK17 @ mactual )
        & ( young @ sK17 @ mactual )
        & ( fellow @ sK18 @ mactual )
        & ( man @ sK18 @ mactual )
        & ( young @ sK18 @ mactual )
        & ( qmltpeq @ sK17 @ sK19 @ mactual )
        & ( in @ sK19 @ sK11 @ mactual )
        & ( qmltpeq @ sK18 @ sK20 @ mactual )
        & ( in @ sK20 @ sK12 @ mactual ) ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f918]) ).

thf(f921,plain,
    ( ( $true
      = ( seat @ sK11 @ mactual ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f918]) ).

thf(f922,plain,
    ( ( $true
      = ( ( front @ sK11 @ mactual )
        & ( seat @ sK12 @ mactual )
        & ( furniture @ sK12 @ mactual )
        & ( front @ sK12 @ mactual )
        & ( hollywood @ sK13 @ mactual )
        & ( city @ sK13 @ mactual )
        & ( event @ sK14 @ mactual )
        & ( street @ sK15 @ mactual )
        & ( way @ sK15 @ mactual )
        & ( lonely @ sK15 @ mactual )
        & ( chevy @ sK16 @ mactual )
        & ( car @ sK16 @ mactual )
        & ( white @ sK16 @ mactual )
        & ( dirty @ sK16 @ mactual )
        & ( old @ sK16 @ mactual )
        & ( barrel @ sK14 @ sK16 @ mactual )
        & ( down @ sK14 @ sK15 @ mactual )
        & ( in @ sK14 @ sK13 @ mactual )
        & ~ ( qmltpeq @ sK17 @ sK18 @ mactual )
        & ( fellow @ sK17 @ mactual )
        & ( man @ sK17 @ mactual )
        & ( young @ sK17 @ mactual )
        & ( fellow @ sK18 @ mactual )
        & ( man @ sK18 @ mactual )
        & ( young @ sK18 @ mactual )
        & ( qmltpeq @ sK17 @ sK19 @ mactual )
        & ( in @ sK19 @ sK11 @ mactual )
        & ( qmltpeq @ sK18 @ sK20 @ mactual )
        & ( in @ sK20 @ sK12 @ mactual ) ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f920]) ).

thf(f923,plain,
    ( ( ( furniture @ sK11 @ mactual )
      = $true )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f920]) ).

thf(f924,plain,
    ( ( $true
      = ( ( seat @ sK12 @ mactual )
        & ( furniture @ sK12 @ mactual )
        & ( front @ sK12 @ mactual )
        & ( hollywood @ sK13 @ mactual )
        & ( city @ sK13 @ mactual )
        & ( event @ sK14 @ mactual )
        & ( street @ sK15 @ mactual )
        & ( way @ sK15 @ mactual )
        & ( lonely @ sK15 @ mactual )
        & ( chevy @ sK16 @ mactual )
        & ( car @ sK16 @ mactual )
        & ( white @ sK16 @ mactual )
        & ( dirty @ sK16 @ mactual )
        & ( old @ sK16 @ mactual )
        & ( barrel @ sK14 @ sK16 @ mactual )
        & ( down @ sK14 @ sK15 @ mactual )
        & ( in @ sK14 @ sK13 @ mactual )
        & ~ ( qmltpeq @ sK17 @ sK18 @ mactual )
        & ( fellow @ sK17 @ mactual )
        & ( man @ sK17 @ mactual )
        & ( young @ sK17 @ mactual )
        & ( fellow @ sK18 @ mactual )
        & ( man @ sK18 @ mactual )
        & ( young @ sK18 @ mactual )
        & ( qmltpeq @ sK17 @ sK19 @ mactual )
        & ( in @ sK19 @ sK11 @ mactual )
        & ( qmltpeq @ sK18 @ sK20 @ mactual )
        & ( in @ sK20 @ sK12 @ mactual ) ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f922]) ).

thf(f925,plain,
    ( ( ( front @ sK11 @ mactual )
      = $true )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f922]) ).

thf(f926,plain,
    ( ( ( ( furniture @ sK12 @ mactual )
        & ( front @ sK12 @ mactual )
        & ( hollywood @ sK13 @ mactual )
        & ( city @ sK13 @ mactual )
        & ( event @ sK14 @ mactual )
        & ( street @ sK15 @ mactual )
        & ( way @ sK15 @ mactual )
        & ( lonely @ sK15 @ mactual )
        & ( chevy @ sK16 @ mactual )
        & ( car @ sK16 @ mactual )
        & ( white @ sK16 @ mactual )
        & ( dirty @ sK16 @ mactual )
        & ( old @ sK16 @ mactual )
        & ( barrel @ sK14 @ sK16 @ mactual )
        & ( down @ sK14 @ sK15 @ mactual )
        & ( in @ sK14 @ sK13 @ mactual )
        & ~ ( qmltpeq @ sK17 @ sK18 @ mactual )
        & ( fellow @ sK17 @ mactual )
        & ( man @ sK17 @ mactual )
        & ( young @ sK17 @ mactual )
        & ( fellow @ sK18 @ mactual )
        & ( man @ sK18 @ mactual )
        & ( young @ sK18 @ mactual )
        & ( qmltpeq @ sK17 @ sK19 @ mactual )
        & ( in @ sK19 @ sK11 @ mactual )
        & ( qmltpeq @ sK18 @ sK20 @ mactual )
        & ( in @ sK20 @ sK12 @ mactual ) )
      = $true )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f924]) ).

thf(f927,plain,
    ( ( ( seat @ sK12 @ mactual )
      = $true )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f924]) ).

thf(f928,plain,
    ( ( $true
      = ( ( front @ sK12 @ mactual )
        & ( hollywood @ sK13 @ mactual )
        & ( city @ sK13 @ mactual )
        & ( event @ sK14 @ mactual )
        & ( street @ sK15 @ mactual )
        & ( way @ sK15 @ mactual )
        & ( lonely @ sK15 @ mactual )
        & ( chevy @ sK16 @ mactual )
        & ( car @ sK16 @ mactual )
        & ( white @ sK16 @ mactual )
        & ( dirty @ sK16 @ mactual )
        & ( old @ sK16 @ mactual )
        & ( barrel @ sK14 @ sK16 @ mactual )
        & ( down @ sK14 @ sK15 @ mactual )
        & ( in @ sK14 @ sK13 @ mactual )
        & ~ ( qmltpeq @ sK17 @ sK18 @ mactual )
        & ( fellow @ sK17 @ mactual )
        & ( man @ sK17 @ mactual )
        & ( young @ sK17 @ mactual )
        & ( fellow @ sK18 @ mactual )
        & ( man @ sK18 @ mactual )
        & ( young @ sK18 @ mactual )
        & ( qmltpeq @ sK17 @ sK19 @ mactual )
        & ( in @ sK19 @ sK11 @ mactual )
        & ( qmltpeq @ sK18 @ sK20 @ mactual )
        & ( in @ sK20 @ sK12 @ mactual ) ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f926]) ).

thf(f929,plain,
    ( ( ( furniture @ sK12 @ mactual )
      = $true )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f926]) ).

thf(f930,plain,
    ( ( $true
      = ( ( hollywood @ sK13 @ mactual )
        & ( city @ sK13 @ mactual )
        & ( event @ sK14 @ mactual )
        & ( street @ sK15 @ mactual )
        & ( way @ sK15 @ mactual )
        & ( lonely @ sK15 @ mactual )
        & ( chevy @ sK16 @ mactual )
        & ( car @ sK16 @ mactual )
        & ( white @ sK16 @ mactual )
        & ( dirty @ sK16 @ mactual )
        & ( old @ sK16 @ mactual )
        & ( barrel @ sK14 @ sK16 @ mactual )
        & ( down @ sK14 @ sK15 @ mactual )
        & ( in @ sK14 @ sK13 @ mactual )
        & ~ ( qmltpeq @ sK17 @ sK18 @ mactual )
        & ( fellow @ sK17 @ mactual )
        & ( man @ sK17 @ mactual )
        & ( young @ sK17 @ mactual )
        & ( fellow @ sK18 @ mactual )
        & ( man @ sK18 @ mactual )
        & ( young @ sK18 @ mactual )
        & ( qmltpeq @ sK17 @ sK19 @ mactual )
        & ( in @ sK19 @ sK11 @ mactual )
        & ( qmltpeq @ sK18 @ sK20 @ mactual )
        & ( in @ sK20 @ sK12 @ mactual ) ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f928]) ).

thf(f931,plain,
    ( ( $true
      = ( front @ sK12 @ mactual ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f928]) ).

thf(f932,plain,
    ( ( ( ( city @ sK13 @ mactual )
        & ( event @ sK14 @ mactual )
        & ( street @ sK15 @ mactual )
        & ( way @ sK15 @ mactual )
        & ( lonely @ sK15 @ mactual )
        & ( chevy @ sK16 @ mactual )
        & ( car @ sK16 @ mactual )
        & ( white @ sK16 @ mactual )
        & ( dirty @ sK16 @ mactual )
        & ( old @ sK16 @ mactual )
        & ( barrel @ sK14 @ sK16 @ mactual )
        & ( down @ sK14 @ sK15 @ mactual )
        & ( in @ sK14 @ sK13 @ mactual )
        & ~ ( qmltpeq @ sK17 @ sK18 @ mactual )
        & ( fellow @ sK17 @ mactual )
        & ( man @ sK17 @ mactual )
        & ( young @ sK17 @ mactual )
        & ( fellow @ sK18 @ mactual )
        & ( man @ sK18 @ mactual )
        & ( young @ sK18 @ mactual )
        & ( qmltpeq @ sK17 @ sK19 @ mactual )
        & ( in @ sK19 @ sK11 @ mactual )
        & ( qmltpeq @ sK18 @ sK20 @ mactual )
        & ( in @ sK20 @ sK12 @ mactual ) )
      = $true )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f930]) ).

thf(f933,plain,
    ( ( ( hollywood @ sK13 @ mactual )
      = $true )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f930]) ).

thf(f934,plain,
    ( ( ( ( event @ sK14 @ mactual )
        & ( street @ sK15 @ mactual )
        & ( way @ sK15 @ mactual )
        & ( lonely @ sK15 @ mactual )
        & ( chevy @ sK16 @ mactual )
        & ( car @ sK16 @ mactual )
        & ( white @ sK16 @ mactual )
        & ( dirty @ sK16 @ mactual )
        & ( old @ sK16 @ mactual )
        & ( barrel @ sK14 @ sK16 @ mactual )
        & ( down @ sK14 @ sK15 @ mactual )
        & ( in @ sK14 @ sK13 @ mactual )
        & ~ ( qmltpeq @ sK17 @ sK18 @ mactual )
        & ( fellow @ sK17 @ mactual )
        & ( man @ sK17 @ mactual )
        & ( young @ sK17 @ mactual )
        & ( fellow @ sK18 @ mactual )
        & ( man @ sK18 @ mactual )
        & ( young @ sK18 @ mactual )
        & ( qmltpeq @ sK17 @ sK19 @ mactual )
        & ( in @ sK19 @ sK11 @ mactual )
        & ( qmltpeq @ sK18 @ sK20 @ mactual )
        & ( in @ sK20 @ sK12 @ mactual ) )
      = $true )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f932]) ).

thf(f935,plain,
    ( ( ( city @ sK13 @ mactual )
      = $true )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f932]) ).

thf(f936,plain,
    ( ( $true
      = ( ( street @ sK15 @ mactual )
        & ( way @ sK15 @ mactual )
        & ( lonely @ sK15 @ mactual )
        & ( chevy @ sK16 @ mactual )
        & ( car @ sK16 @ mactual )
        & ( white @ sK16 @ mactual )
        & ( dirty @ sK16 @ mactual )
        & ( old @ sK16 @ mactual )
        & ( barrel @ sK14 @ sK16 @ mactual )
        & ( down @ sK14 @ sK15 @ mactual )
        & ( in @ sK14 @ sK13 @ mactual )
        & ~ ( qmltpeq @ sK17 @ sK18 @ mactual )
        & ( fellow @ sK17 @ mactual )
        & ( man @ sK17 @ mactual )
        & ( young @ sK17 @ mactual )
        & ( fellow @ sK18 @ mactual )
        & ( man @ sK18 @ mactual )
        & ( young @ sK18 @ mactual )
        & ( qmltpeq @ sK17 @ sK19 @ mactual )
        & ( in @ sK19 @ sK11 @ mactual )
        & ( qmltpeq @ sK18 @ sK20 @ mactual )
        & ( in @ sK20 @ sK12 @ mactual ) ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f934]) ).

thf(f937,plain,
    ( ( ( event @ sK14 @ mactual )
      = $true )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f934]) ).

thf(f938,plain,
    ( ( ( ( way @ sK15 @ mactual )
        & ( lonely @ sK15 @ mactual )
        & ( chevy @ sK16 @ mactual )
        & ( car @ sK16 @ mactual )
        & ( white @ sK16 @ mactual )
        & ( dirty @ sK16 @ mactual )
        & ( old @ sK16 @ mactual )
        & ( barrel @ sK14 @ sK16 @ mactual )
        & ( down @ sK14 @ sK15 @ mactual )
        & ( in @ sK14 @ sK13 @ mactual )
        & ~ ( qmltpeq @ sK17 @ sK18 @ mactual )
        & ( fellow @ sK17 @ mactual )
        & ( man @ sK17 @ mactual )
        & ( young @ sK17 @ mactual )
        & ( fellow @ sK18 @ mactual )
        & ( man @ sK18 @ mactual )
        & ( young @ sK18 @ mactual )
        & ( qmltpeq @ sK17 @ sK19 @ mactual )
        & ( in @ sK19 @ sK11 @ mactual )
        & ( qmltpeq @ sK18 @ sK20 @ mactual )
        & ( in @ sK20 @ sK12 @ mactual ) )
      = $true )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f936]) ).

thf(f939,plain,
    ( ( ( street @ sK15 @ mactual )
      = $true )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f936]) ).

thf(f940,plain,
    ( ( ( ( lonely @ sK15 @ mactual )
        & ( chevy @ sK16 @ mactual )
        & ( car @ sK16 @ mactual )
        & ( white @ sK16 @ mactual )
        & ( dirty @ sK16 @ mactual )
        & ( old @ sK16 @ mactual )
        & ( barrel @ sK14 @ sK16 @ mactual )
        & ( down @ sK14 @ sK15 @ mactual )
        & ( in @ sK14 @ sK13 @ mactual )
        & ~ ( qmltpeq @ sK17 @ sK18 @ mactual )
        & ( fellow @ sK17 @ mactual )
        & ( man @ sK17 @ mactual )
        & ( young @ sK17 @ mactual )
        & ( fellow @ sK18 @ mactual )
        & ( man @ sK18 @ mactual )
        & ( young @ sK18 @ mactual )
        & ( qmltpeq @ sK17 @ sK19 @ mactual )
        & ( in @ sK19 @ sK11 @ mactual )
        & ( qmltpeq @ sK18 @ sK20 @ mactual )
        & ( in @ sK20 @ sK12 @ mactual ) )
      = $true )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f938]) ).

thf(f941,plain,
    ( ( ( way @ sK15 @ mactual )
      = $true )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f938]) ).

thf(f942,plain,
    ( ( $true
      = ( ( chevy @ sK16 @ mactual )
        & ( car @ sK16 @ mactual )
        & ( white @ sK16 @ mactual )
        & ( dirty @ sK16 @ mactual )
        & ( old @ sK16 @ mactual )
        & ( barrel @ sK14 @ sK16 @ mactual )
        & ( down @ sK14 @ sK15 @ mactual )
        & ( in @ sK14 @ sK13 @ mactual )
        & ~ ( qmltpeq @ sK17 @ sK18 @ mactual )
        & ( fellow @ sK17 @ mactual )
        & ( man @ sK17 @ mactual )
        & ( young @ sK17 @ mactual )
        & ( fellow @ sK18 @ mactual )
        & ( man @ sK18 @ mactual )
        & ( young @ sK18 @ mactual )
        & ( qmltpeq @ sK17 @ sK19 @ mactual )
        & ( in @ sK19 @ sK11 @ mactual )
        & ( qmltpeq @ sK18 @ sK20 @ mactual )
        & ( in @ sK20 @ sK12 @ mactual ) ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f940]) ).

thf(f943,plain,
    ( ( $true
      = ( lonely @ sK15 @ mactual ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f940]) ).

thf(f944,plain,
    ( ( ( ( car @ sK16 @ mactual )
        & ( white @ sK16 @ mactual )
        & ( dirty @ sK16 @ mactual )
        & ( old @ sK16 @ mactual )
        & ( barrel @ sK14 @ sK16 @ mactual )
        & ( down @ sK14 @ sK15 @ mactual )
        & ( in @ sK14 @ sK13 @ mactual )
        & ~ ( qmltpeq @ sK17 @ sK18 @ mactual )
        & ( fellow @ sK17 @ mactual )
        & ( man @ sK17 @ mactual )
        & ( young @ sK17 @ mactual )
        & ( fellow @ sK18 @ mactual )
        & ( man @ sK18 @ mactual )
        & ( young @ sK18 @ mactual )
        & ( qmltpeq @ sK17 @ sK19 @ mactual )
        & ( in @ sK19 @ sK11 @ mactual )
        & ( qmltpeq @ sK18 @ sK20 @ mactual )
        & ( in @ sK20 @ sK12 @ mactual ) )
      = $true )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f942]) ).

thf(f945,plain,
    ( ( ( chevy @ sK16 @ mactual )
      = $true )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f942]) ).

thf(f946,plain,
    ( ( $true
      = ( ( white @ sK16 @ mactual )
        & ( dirty @ sK16 @ mactual )
        & ( old @ sK16 @ mactual )
        & ( barrel @ sK14 @ sK16 @ mactual )
        & ( down @ sK14 @ sK15 @ mactual )
        & ( in @ sK14 @ sK13 @ mactual )
        & ~ ( qmltpeq @ sK17 @ sK18 @ mactual )
        & ( fellow @ sK17 @ mactual )
        & ( man @ sK17 @ mactual )
        & ( young @ sK17 @ mactual )
        & ( fellow @ sK18 @ mactual )
        & ( man @ sK18 @ mactual )
        & ( young @ sK18 @ mactual )
        & ( qmltpeq @ sK17 @ sK19 @ mactual )
        & ( in @ sK19 @ sK11 @ mactual )
        & ( qmltpeq @ sK18 @ sK20 @ mactual )
        & ( in @ sK20 @ sK12 @ mactual ) ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f944]) ).

thf(f947,plain,
    ( ( $true
      = ( car @ sK16 @ mactual ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f944]) ).

thf(f948,plain,
    ( ( ( ( dirty @ sK16 @ mactual )
        & ( old @ sK16 @ mactual )
        & ( barrel @ sK14 @ sK16 @ mactual )
        & ( down @ sK14 @ sK15 @ mactual )
        & ( in @ sK14 @ sK13 @ mactual )
        & ~ ( qmltpeq @ sK17 @ sK18 @ mactual )
        & ( fellow @ sK17 @ mactual )
        & ( man @ sK17 @ mactual )
        & ( young @ sK17 @ mactual )
        & ( fellow @ sK18 @ mactual )
        & ( man @ sK18 @ mactual )
        & ( young @ sK18 @ mactual )
        & ( qmltpeq @ sK17 @ sK19 @ mactual )
        & ( in @ sK19 @ sK11 @ mactual )
        & ( qmltpeq @ sK18 @ sK20 @ mactual )
        & ( in @ sK20 @ sK12 @ mactual ) )
      = $true )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f946]) ).

thf(f949,plain,
    ( ( ( white @ sK16 @ mactual )
      = $true )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f946]) ).

thf(f950,plain,
    ( ( ( ( old @ sK16 @ mactual )
        & ( barrel @ sK14 @ sK16 @ mactual )
        & ( down @ sK14 @ sK15 @ mactual )
        & ( in @ sK14 @ sK13 @ mactual )
        & ~ ( qmltpeq @ sK17 @ sK18 @ mactual )
        & ( fellow @ sK17 @ mactual )
        & ( man @ sK17 @ mactual )
        & ( young @ sK17 @ mactual )
        & ( fellow @ sK18 @ mactual )
        & ( man @ sK18 @ mactual )
        & ( young @ sK18 @ mactual )
        & ( qmltpeq @ sK17 @ sK19 @ mactual )
        & ( in @ sK19 @ sK11 @ mactual )
        & ( qmltpeq @ sK18 @ sK20 @ mactual )
        & ( in @ sK20 @ sK12 @ mactual ) )
      = $true )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f948]) ).

thf(f951,plain,
    ( ( ( dirty @ sK16 @ mactual )
      = $true )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f948]) ).

thf(f952,plain,
    ( ( ( ( barrel @ sK14 @ sK16 @ mactual )
        & ( down @ sK14 @ sK15 @ mactual )
        & ( in @ sK14 @ sK13 @ mactual )
        & ~ ( qmltpeq @ sK17 @ sK18 @ mactual )
        & ( fellow @ sK17 @ mactual )
        & ( man @ sK17 @ mactual )
        & ( young @ sK17 @ mactual )
        & ( fellow @ sK18 @ mactual )
        & ( man @ sK18 @ mactual )
        & ( young @ sK18 @ mactual )
        & ( qmltpeq @ sK17 @ sK19 @ mactual )
        & ( in @ sK19 @ sK11 @ mactual )
        & ( qmltpeq @ sK18 @ sK20 @ mactual )
        & ( in @ sK20 @ sK12 @ mactual ) )
      = $true )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f950]) ).

thf(f953,plain,
    ( ( $true
      = ( old @ sK16 @ mactual ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f950]) ).

thf(f954,plain,
    ( ( ( ( down @ sK14 @ sK15 @ mactual )
        & ( in @ sK14 @ sK13 @ mactual )
        & ~ ( qmltpeq @ sK17 @ sK18 @ mactual )
        & ( fellow @ sK17 @ mactual )
        & ( man @ sK17 @ mactual )
        & ( young @ sK17 @ mactual )
        & ( fellow @ sK18 @ mactual )
        & ( man @ sK18 @ mactual )
        & ( young @ sK18 @ mactual )
        & ( qmltpeq @ sK17 @ sK19 @ mactual )
        & ( in @ sK19 @ sK11 @ mactual )
        & ( qmltpeq @ sK18 @ sK20 @ mactual )
        & ( in @ sK20 @ sK12 @ mactual ) )
      = $true )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f952]) ).

thf(f955,plain,
    ( ( ( barrel @ sK14 @ sK16 @ mactual )
      = $true )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f952]) ).

thf(f956,plain,
    ( ( ( ( in @ sK14 @ sK13 @ mactual )
        & ~ ( qmltpeq @ sK17 @ sK18 @ mactual )
        & ( fellow @ sK17 @ mactual )
        & ( man @ sK17 @ mactual )
        & ( young @ sK17 @ mactual )
        & ( fellow @ sK18 @ mactual )
        & ( man @ sK18 @ mactual )
        & ( young @ sK18 @ mactual )
        & ( qmltpeq @ sK17 @ sK19 @ mactual )
        & ( in @ sK19 @ sK11 @ mactual )
        & ( qmltpeq @ sK18 @ sK20 @ mactual )
        & ( in @ sK20 @ sK12 @ mactual ) )
      = $true )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f954]) ).

thf(f957,plain,
    ( ( $true
      = ( down @ sK14 @ sK15 @ mactual ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f954]) ).

thf(f958,plain,
    ( ( $true
      = ( ~ ( qmltpeq @ sK17 @ sK18 @ mactual )
        & ( fellow @ sK17 @ mactual )
        & ( man @ sK17 @ mactual )
        & ( young @ sK17 @ mactual )
        & ( fellow @ sK18 @ mactual )
        & ( man @ sK18 @ mactual )
        & ( young @ sK18 @ mactual )
        & ( qmltpeq @ sK17 @ sK19 @ mactual )
        & ( in @ sK19 @ sK11 @ mactual )
        & ( qmltpeq @ sK18 @ sK20 @ mactual )
        & ( in @ sK20 @ sK12 @ mactual ) ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f956]) ).

thf(f959,plain,
    ( ( ( in @ sK14 @ sK13 @ mactual )
      = $true )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f956]) ).

thf(f960,plain,
    ( ( ( ( fellow @ sK17 @ mactual )
        & ( man @ sK17 @ mactual )
        & ( young @ sK17 @ mactual )
        & ( fellow @ sK18 @ mactual )
        & ( man @ sK18 @ mactual )
        & ( young @ sK18 @ mactual )
        & ( qmltpeq @ sK17 @ sK19 @ mactual )
        & ( in @ sK19 @ sK11 @ mactual )
        & ( qmltpeq @ sK18 @ sK20 @ mactual )
        & ( in @ sK20 @ sK12 @ mactual ) )
      = $true )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f958]) ).

thf(f961,plain,
    ( ( ( ~ ( qmltpeq @ sK17 @ sK18 @ mactual ) )
      = $true )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f958]) ).

thf(f962,plain,
    ( ( ( qmltpeq @ sK17 @ sK18 @ mactual )
      = $false )
    | ~ spl0_2 ),
    inference(not_proxy_clausification,[],[f961]) ).

thf(f963,plain,
    ( ( $true
      = ( ( man @ sK17 @ mactual )
        & ( young @ sK17 @ mactual )
        & ( fellow @ sK18 @ mactual )
        & ( man @ sK18 @ mactual )
        & ( young @ sK18 @ mactual )
        & ( qmltpeq @ sK17 @ sK19 @ mactual )
        & ( in @ sK19 @ sK11 @ mactual )
        & ( qmltpeq @ sK18 @ sK20 @ mactual )
        & ( in @ sK20 @ sK12 @ mactual ) ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f960]) ).

thf(f964,plain,
    ( ( $true
      = ( fellow @ sK17 @ mactual ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f960]) ).

thf(f965,plain,
    ( ( ( ( young @ sK17 @ mactual )
        & ( fellow @ sK18 @ mactual )
        & ( man @ sK18 @ mactual )
        & ( young @ sK18 @ mactual )
        & ( qmltpeq @ sK17 @ sK19 @ mactual )
        & ( in @ sK19 @ sK11 @ mactual )
        & ( qmltpeq @ sK18 @ sK20 @ mactual )
        & ( in @ sK20 @ sK12 @ mactual ) )
      = $true )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f963]) ).

thf(f966,plain,
    ( ( $true
      = ( man @ sK17 @ mactual ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f963]) ).

thf(f967,plain,
    ( ( $true
      = ( ( fellow @ sK18 @ mactual )
        & ( man @ sK18 @ mactual )
        & ( young @ sK18 @ mactual )
        & ( qmltpeq @ sK17 @ sK19 @ mactual )
        & ( in @ sK19 @ sK11 @ mactual )
        & ( qmltpeq @ sK18 @ sK20 @ mactual )
        & ( in @ sK20 @ sK12 @ mactual ) ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f965]) ).

thf(f968,plain,
    ( ( $true
      = ( young @ sK17 @ mactual ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f965]) ).

thf(f969,plain,
    ( ( ( ( man @ sK18 @ mactual )
        & ( young @ sK18 @ mactual )
        & ( qmltpeq @ sK17 @ sK19 @ mactual )
        & ( in @ sK19 @ sK11 @ mactual )
        & ( qmltpeq @ sK18 @ sK20 @ mactual )
        & ( in @ sK20 @ sK12 @ mactual ) )
      = $true )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f967]) ).

thf(f970,plain,
    ( ( $true
      = ( fellow @ sK18 @ mactual ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f967]) ).

thf(f971,plain,
    ( ( ( ( young @ sK18 @ mactual )
        & ( qmltpeq @ sK17 @ sK19 @ mactual )
        & ( in @ sK19 @ sK11 @ mactual )
        & ( qmltpeq @ sK18 @ sK20 @ mactual )
        & ( in @ sK20 @ sK12 @ mactual ) )
      = $true )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f969]) ).

thf(f972,plain,
    ( ( $true
      = ( man @ sK18 @ mactual ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f969]) ).

thf(f973,plain,
    ( ( ( ( qmltpeq @ sK17 @ sK19 @ mactual )
        & ( in @ sK19 @ sK11 @ mactual )
        & ( qmltpeq @ sK18 @ sK20 @ mactual )
        & ( in @ sK20 @ sK12 @ mactual ) )
      = $true )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f971]) ).

thf(f974,plain,
    ( ( $true
      = ( young @ sK18 @ mactual ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f971]) ).

thf(f975,plain,
    ( ( $true
      = ( ( in @ sK19 @ sK11 @ mactual )
        & ( qmltpeq @ sK18 @ sK20 @ mactual )
        & ( in @ sK20 @ sK12 @ mactual ) ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f973]) ).

thf(f976,plain,
    ( ( $true
      = ( qmltpeq @ sK17 @ sK19 @ mactual ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f973]) ).

thf(f977,plain,
    ( ( $true
      = ( ( qmltpeq @ sK18 @ sK20 @ mactual )
        & ( in @ sK20 @ sK12 @ mactual ) ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f975]) ).

thf(f978,plain,
    ( ( ( in @ sK19 @ sK11 @ mactual )
      = $true )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f975]) ).

thf(f979,plain,
    ( ( ( in @ sK20 @ sK12 @ mactual )
      = $true )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f977]) ).

thf(f980,plain,
    ( ( ( qmltpeq @ sK18 @ sK20 @ mactual )
      = $true )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f977]) ).

thf(f1023,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( car @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ sK14 @ mactual )
          = $false )
        | ( ( street @ sK15 @ mactual )
          = $false )
        | ( ( event @ sK14 @ mactual )
          = $false )
        | ( ( lonely @ sK15 @ mactual )
          = $false )
        | ( $false
          = ( white @ X0 @ mactual ) )
        | ( $false
          = ( chevy @ X0 @ mactual ) )
        | ( ( way @ sK15 @ mactual )
          = $false )
        | ( $false
          = ( dirty @ X0 @ mactual ) )
        | ( $true = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( barrel @ sK14 @ X0 @ mactual ) )
        | ( ( hollywood @ X1 @ mactual )
          = $false )
        | ( ( city @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ sK15 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( old @ X0 @ mactual ) )
        | ( ( in @ sK14 @ X1 @ mactual )
          = $false ) )
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(superposition,[],[f359,f957]) ).

thf(f1024,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( event @ sK14 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( white @ X0 @ mactual ) )
        | ( ( eiw_di @ sK14 @ mactual )
          = $false )
        | ( ( in @ sK14 @ X1 @ mactual )
          = $false )
        | ( $false
          = ( dirty @ X0 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( lonely @ sK15 @ mactual )
          = $false )
        | ( ( eiw_di @ sK15 @ mactual )
          = $false )
        | ( $false
          = ( barrel @ sK14 @ X0 @ mactual ) )
        | ( ( car @ X0 @ mactual )
          = $false )
        | ( $false
          = ( old @ X0 @ mactual ) )
        | ( ( city @ X1 @ mactual )
          = $false )
        | ( $false
          = ( chevy @ X0 @ mactual ) )
        | ( ( way @ sK15 @ mactual )
          = $false )
        | ( ( street @ sK15 @ mactual )
          = $false )
        | ( ( hollywood @ X1 @ mactual )
          = $false ) )
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f1023]) ).

thf(f1027,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true = $false )
        | ( ( car @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ sK14 @ mactual )
          = $false )
        | ( ( lonely @ sK15 @ mactual )
          = $false )
        | ( $false
          = ( chevy @ X0 @ mactual ) )
        | ( ( way @ sK15 @ mactual )
          = $false )
        | ( $false
          = ( old @ X0 @ mactual ) )
        | ( $false
          = ( white @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( city @ X1 @ mactual )
          = $false )
        | ( $false
          = ( dirty @ X0 @ mactual ) )
        | ( ( hollywood @ X1 @ mactual )
          = $false )
        | ( ( street @ sK15 @ mactual )
          = $false )
        | ( ( eiw_di @ sK15 @ mactual )
          = $false )
        | ( $false
          = ( barrel @ sK14 @ X0 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( in @ sK14 @ X1 @ mactual )
          = $false ) )
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1024,f937]) ).

thf(f1028,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( car @ X0 @ mactual )
          = $false )
        | ( ( hollywood @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ sK15 @ mactual )
          = $false )
        | ( ( in @ sK14 @ X1 @ mactual )
          = $false )
        | ( ( city @ X1 @ mactual )
          = $false )
        | ( ( way @ sK15 @ mactual )
          = $false )
        | ( ( eiw_di @ sK14 @ mactual )
          = $false )
        | ( ( street @ sK15 @ mactual )
          = $false )
        | ( $false
          = ( old @ X0 @ mactual ) )
        | ( ( lonely @ sK15 @ mactual )
          = $false )
        | ( $false
          = ( white @ X0 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( chevy @ X0 @ mactual ) )
        | ( $false
          = ( barrel @ sK14 @ X0 @ mactual ) )
        | ( $false
          = ( dirty @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) ) )
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f1027]) ).

thf(f1031,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $true = $false )
        | ( $false
          = ( old @ X0 @ mactual ) )
        | ( ( in @ sK14 @ X1 @ mactual )
          = $false )
        | ( $false
          = ( dirty @ X0 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( chevy @ X0 @ mactual ) )
        | ( $false
          = ( barrel @ sK14 @ X0 @ mactual ) )
        | ( ( city @ X1 @ mactual )
          = $false )
        | ( ( lonely @ sK15 @ mactual )
          = $false )
        | ( ( eiw_di @ sK14 @ mactual )
          = $false )
        | ( $false
          = ( white @ X0 @ mactual ) )
        | ( ( car @ X0 @ mactual )
          = $false )
        | ( ( street @ sK15 @ mactual )
          = $false )
        | ( ( way @ sK15 @ mactual )
          = $false )
        | ( ( hollywood @ X1 @ mactual )
          = $false ) )
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1028,f879]) ).

thf(f1032,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( in @ sK14 @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ sK14 @ mactual )
          = $false )
        | ( $false
          = ( white @ X0 @ mactual ) )
        | ( $false
          = ( chevy @ X0 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( car @ X0 @ mactual )
          = $false )
        | ( ( hollywood @ X1 @ mactual )
          = $false )
        | ( ( city @ X1 @ mactual )
          = $false )
        | ( ( street @ sK15 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( old @ X0 @ mactual ) )
        | ( $false
          = ( dirty @ X0 @ mactual ) )
        | ( $false
          = ( barrel @ sK14 @ X0 @ mactual ) )
        | ( ( lonely @ sK15 @ mactual )
          = $false )
        | ( ( way @ sK15 @ mactual )
          = $false ) )
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f1031]) ).

thf(f1035,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( car @ X0 @ mactual )
          = $false )
        | ( ( in @ sK14 @ X1 @ mactual )
          = $false )
        | ( $false
          = ( dirty @ X0 @ mactual ) )
        | ( ( lonely @ sK15 @ mactual )
          = $false )
        | ( $false
          = ( barrel @ sK14 @ X0 @ mactual ) )
        | ( ( street @ sK15 @ mactual )
          = $false )
        | ( ( way @ sK15 @ mactual )
          = $false )
        | ( $true = $false )
        | ( ( city @ X1 @ mactual )
          = $false )
        | ( $false
          = ( white @ X0 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( old @ X0 @ mactual ) )
        | ( ( hollywood @ X1 @ mactual )
          = $false )
        | ( $false
          = ( chevy @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) ) )
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1032,f871]) ).

thf(f1036,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( old @ X0 @ mactual ) )
        | ( ( city @ X1 @ mactual )
          = $false )
        | ( ( way @ sK15 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( street @ sK15 @ mactual )
          = $false )
        | ( ( hollywood @ X1 @ mactual )
          = $false )
        | ( $false
          = ( white @ X0 @ mactual ) )
        | ( ( in @ sK14 @ X1 @ mactual )
          = $false )
        | ( $false
          = ( chevy @ X0 @ mactual ) )
        | ( $false
          = ( barrel @ sK14 @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( car @ X0 @ mactual )
          = $false )
        | ( ( lonely @ sK15 @ mactual )
          = $false )
        | ( $false
          = ( dirty @ X0 @ mactual ) ) )
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f1035]) ).

thf(f1039,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( lonely @ sK15 @ mactual )
          = $false )
        | ( $false
          = ( dirty @ X0 @ mactual ) )
        | ( ( hollywood @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( old @ X0 @ mactual ) )
        | ( $true = $false )
        | ( $false
          = ( barrel @ sK14 @ X0 @ mactual ) )
        | ( ( in @ sK14 @ X1 @ mactual )
          = $false )
        | ( $false
          = ( chevy @ X0 @ mactual ) )
        | ( $false
          = ( white @ X0 @ mactual ) )
        | ( ( street @ sK15 @ mactual )
          = $false )
        | ( ( car @ X0 @ mactual )
          = $false )
        | ( ( city @ X1 @ mactual )
          = $false ) )
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1036,f941]) ).

thf(f1040,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( in @ sK14 @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( city @ X1 @ mactual )
          = $false )
        | ( ( hollywood @ X1 @ mactual )
          = $false )
        | ( $false
          = ( white @ X0 @ mactual ) )
        | ( $false
          = ( old @ X0 @ mactual ) )
        | ( ( car @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( dirty @ X0 @ mactual ) )
        | ( $false
          = ( barrel @ sK14 @ X0 @ mactual ) )
        | ( $false
          = ( chevy @ X0 @ mactual ) )
        | ( ( lonely @ sK15 @ mactual )
          = $false )
        | ( ( street @ sK15 @ mactual )
          = $false ) )
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f1039]) ).

thf(f1043,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( barrel @ sK14 @ X0 @ mactual ) )
        | ( ( in @ sK14 @ X1 @ mactual )
          = $false )
        | ( $false
          = ( dirty @ X0 @ mactual ) )
        | ( ( street @ sK15 @ mactual )
          = $false )
        | ( ( hollywood @ X1 @ mactual )
          = $false )
        | ( $true = $false )
        | ( $false
          = ( chevy @ X0 @ mactual ) )
        | ( ( city @ X1 @ mactual )
          = $false )
        | ( ( car @ X0 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( white @ X0 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( old @ X0 @ mactual ) ) )
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1040,f943]) ).

thf(f1044,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( chevy @ X0 @ mactual ) )
        | ( $false
          = ( dirty @ X0 @ mactual ) )
        | ( ( hollywood @ X1 @ mactual )
          = $false )
        | ( $false
          = ( white @ X0 @ mactual ) )
        | ( ( city @ X1 @ mactual )
          = $false )
        | ( ( in @ sK14 @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( old @ X0 @ mactual ) )
        | ( ( car @ X0 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( barrel @ sK14 @ X0 @ mactual ) )
        | ( ( street @ sK15 @ mactual )
          = $false ) )
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f1043]) ).

thf(f1047,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( dirty @ X0 @ mactual ) )
        | ( $false
          = ( old @ X0 @ mactual ) )
        | ( ( car @ X0 @ mactual )
          = $false )
        | ( ( in @ sK14 @ X1 @ mactual )
          = $false )
        | ( $true = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( city @ X1 @ mactual )
          = $false )
        | ( $false
          = ( chevy @ X0 @ mactual ) )
        | ( ( hollywood @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( white @ X0 @ mactual ) )
        | ( $false
          = ( barrel @ sK14 @ X0 @ mactual ) ) )
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1044,f939]) ).

thf(f1048,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( barrel @ sK14 @ X0 @ mactual ) )
        | ( ( in @ sK14 @ X1 @ mactual )
          = $false )
        | ( ( car @ X0 @ mactual )
          = $false )
        | ( $false
          = ( old @ X0 @ mactual ) )
        | ( ( hollywood @ X1 @ mactual )
          = $false )
        | ( $false
          = ( white @ X0 @ mactual ) )
        | ( $false
          = ( chevy @ X0 @ mactual ) )
        | ( $false
          = ( dirty @ X0 @ mactual ) )
        | ( ( city @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) ) )
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f1047]) ).

thf(f1058,definition,
    ( spl0_9
  <=> ! [X1: $i] :
        ( ( ( in @ sK14 @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( city @ X1 @ mactual )
          = $false )
        | ( ( hollywood @ X1 @ mactual )
          = $false ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

thf(f1059,plain,
    ( ! [X1: $i] :
        ( ( ( in @ sK14 @ X1 @ mactual )
          = $false )
        | ( ( city @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( hollywood @ X1 @ mactual )
          = $false ) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f1058]) ).

thf(f1061,definition,
    ( spl0_10
  <=> ! [X0: $i] :
        ( ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( dirty @ X0 @ mactual ) )
        | ( $false
          = ( chevy @ X0 @ mactual ) )
        | ( $false
          = ( white @ X0 @ mactual ) )
        | ( $false
          = ( old @ X0 @ mactual ) )
        | ( ( car @ X0 @ mactual )
          = $false )
        | ( $false
          = ( barrel @ sK14 @ X0 @ mactual ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

thf(f1062,plain,
    ( ! [X0: $i] :
        ( ( $false
          = ( barrel @ sK14 @ X0 @ mactual ) )
        | ( $false
          = ( old @ X0 @ mactual ) )
        | ( ( car @ X0 @ mactual )
          = $false )
        | ( $false
          = ( dirty @ X0 @ mactual ) )
        | ( $false
          = ( chevy @ X0 @ mactual ) )
        | ( $false
          = ( white @ X0 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false ) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f1061]) ).

thf(f1063,plain,
    ( spl0_9
    | spl0_10
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f1048,f358,f227,f1061,f1058]) ).

thf(f1068,plain,
    ( ( ( chevy @ sK16 @ mactual )
      = $false )
    | ( ( dirty @ sK16 @ mactual )
      = $false )
    | ( $false
      = ( car @ sK16 @ mactual ) )
    | ( ( eiw_di @ sK16 @ mactual )
      = $false )
    | ( ( white @ sK16 @ mactual )
      = $false )
    | ( $false
      = ( old @ sK16 @ mactual ) )
    | ( $true = $false )
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(superposition,[],[f955,f1062]) ).

thf(f1069,plain,
    ( ( ( eiw_di @ sK16 @ mactual )
      = $false )
    | ( $false
      = ( old @ sK16 @ mactual ) )
    | ( ( white @ sK16 @ mactual )
      = $false )
    | ( ( dirty @ sK16 @ mactual )
      = $false )
    | ( ( chevy @ sK16 @ mactual )
      = $false )
    | ( $false
      = ( car @ sK16 @ mactual ) )
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f1068]) ).

thf(f1072,plain,
    ( ( ( white @ sK16 @ mactual )
      = $false )
    | ( ( chevy @ sK16 @ mactual )
      = $false )
    | ( ( dirty @ sK16 @ mactual )
      = $false )
    | ( $false
      = ( car @ sK16 @ mactual ) )
    | ( $true = $false )
    | ( $false
      = ( old @ sK16 @ mactual ) )
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1069,f887]) ).

thf(f1073,plain,
    ( ( $false
      = ( car @ sK16 @ mactual ) )
    | ( ( chevy @ sK16 @ mactual )
      = $false )
    | ( ( white @ sK16 @ mactual )
      = $false )
    | ( ( dirty @ sK16 @ mactual )
      = $false )
    | ( $false
      = ( old @ sK16 @ mactual ) )
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f1072]) ).

thf(f1076,plain,
    ( ( ( chevy @ sK16 @ mactual )
      = $false )
    | ( ( white @ sK16 @ mactual )
      = $false )
    | ( $true = $false )
    | ( $false
      = ( old @ sK16 @ mactual ) )
    | ( ( dirty @ sK16 @ mactual )
      = $false )
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1073,f947]) ).

thf(f1077,plain,
    ( ( ( white @ sK16 @ mactual )
      = $false )
    | ( ( chevy @ sK16 @ mactual )
      = $false )
    | ( ( dirty @ sK16 @ mactual )
      = $false )
    | ( $false
      = ( old @ sK16 @ mactual ) )
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f1076]) ).

thf(f1080,plain,
    ( ( $false
      = ( old @ sK16 @ mactual ) )
    | ( ( chevy @ sK16 @ mactual )
      = $false )
    | ( ( dirty @ sK16 @ mactual )
      = $false )
    | ( $true = $false )
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1077,f949]) ).

thf(f1081,plain,
    ( ( ( dirty @ sK16 @ mactual )
      = $false )
    | ( ( chevy @ sK16 @ mactual )
      = $false )
    | ( $false
      = ( old @ sK16 @ mactual ) )
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f1080]) ).

thf(f1084,plain,
    ( ( ( chevy @ sK16 @ mactual )
      = $false )
    | ( $true = $false )
    | ( $false
      = ( old @ sK16 @ mactual ) )
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1081,f951]) ).

thf(f1085,plain,
    ( ( ( chevy @ sK16 @ mactual )
      = $false )
    | ( $false
      = ( old @ sK16 @ mactual ) )
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f1084]) ).

thf(f1088,plain,
    ( ( $true = $false )
    | ( $false
      = ( old @ sK16 @ mactual ) )
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1085,f945]) ).

thf(f1089,plain,
    ( ( $false
      = ( old @ sK16 @ mactual ) )
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f1088]) ).

thf(f1094,plain,
    ( ( $true = $false )
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(superposition,[],[f953,f1089]) ).

thf(f1097,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f1094]) ).

thf(f1098,plain,
    ( ~ spl0_2
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1097]) ).

thf(f1100,plain,
    ( ( ( city @ sK13 @ mactual )
      = $false )
    | ( $true = $false )
    | ( ( hollywood @ sK13 @ mactual )
      = $false )
    | ( ( eiw_di @ sK13 @ mactual )
      = $false )
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(superposition,[],[f1059,f959]) ).

thf(f1103,plain,
    ( ( ( eiw_di @ sK13 @ mactual )
      = $false )
    | ( ( city @ sK13 @ mactual )
      = $false )
    | ( ( hollywood @ sK13 @ mactual )
      = $false )
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(trivial_inequality_removal,[],[f1100]) ).

thf(f1106,plain,
    ( ( ( city @ sK13 @ mactual )
      = $false )
    | ( $true = $false )
    | ( ( hollywood @ sK13 @ mactual )
      = $false )
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1103,f863]) ).

thf(f1107,plain,
    ( ( ( hollywood @ sK13 @ mactual )
      = $false )
    | ( ( city @ sK13 @ mactual )
      = $false )
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(trivial_inequality_removal,[],[f1106]) ).

thf(f1110,plain,
    ( ( ( city @ sK13 @ mactual )
      = $false )
    | ( $true = $false )
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1107,f933]) ).

thf(f1111,plain,
    ( ( ( city @ sK13 @ mactual )
      = $false )
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(trivial_inequality_removal,[],[f1110]) ).

thf(f1114,plain,
    ( ( $true = $false )
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(superposition,[],[f1111,f935]) ).

thf(f1119,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(trivial_inequality_removal,[],[f1114]) ).

thf(f1120,plain,
    ( ~ spl0_2
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1119]) ).

thf(f1130,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( furniture @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( front @ X3 @ mactual ) )
        | ( ( eiw_di @ sK17 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( man @ sK17 @ mactual ) )
        | ( ( in @ X2 @ X1 @ mactual )
          = $false )
        | ( ( qmltpeq @ sK18 @ X0 @ mactual )
          = $false )
        | ( $false
          = ( in @ X0 @ X3 @ mactual ) )
        | ( ( eiw_di @ sK18 @ mactual )
          = $false )
        | ( ( man @ sK18 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( $false
          = ( young @ sK17 @ mactual ) )
        | ( $false
          = ( fellow @ sK18 @ mactual ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( qmltpeq @ sK17 @ X2 @ mactual )
          = $false )
        | ( $true = $false )
        | ( $false
          = ( young @ sK18 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ sK17 @ mactual ) )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( seat @ X3 @ mactual )
          = $false ) )
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f962,f356]) ).

thf(f1133,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( $false
          = ( young @ sK18 @ mactual ) )
        | ( $false
          = ( young @ sK17 @ mactual ) )
        | ( $false
          = ( front @ X3 @ mactual ) )
        | ( $false
          = ( in @ X0 @ X3 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( seat @ X3 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( furniture @ X3 @ mactual )
          = $false )
        | ( ( qmltpeq @ sK18 @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ sK17 @ mactual ) )
        | ( $false
          = ( man @ sK17 @ mactual ) )
        | ( ( eiw_di @ sK17 @ mactual )
          = $false )
        | ( ( in @ X2 @ X1 @ mactual )
          = $false )
        | ( ( qmltpeq @ sK17 @ X2 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ sK18 @ mactual ) )
        | ( ( eiw_di @ sK18 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( man @ sK18 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false ) )
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f1130]) ).

thf(f1136,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( front @ X1 @ mactual )
          = $false )
        | ( $true = $false )
        | ( $false
          = ( young @ sK18 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ sK17 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ sK17 @ mactual ) )
        | ( ( qmltpeq @ sK18 @ X0 @ mactual )
          = $false )
        | ( $false
          = ( front @ X3 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( man @ sK18 @ mactual )
          = $false )
        | ( ( in @ X2 @ X1 @ mactual )
          = $false )
        | ( ( seat @ X3 @ mactual )
          = $false )
        | ( $false
          = ( man @ sK17 @ mactual ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( furniture @ X3 @ mactual )
          = $false )
        | ( $false
          = ( in @ X0 @ X3 @ mactual ) )
        | ( ( qmltpeq @ sK17 @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ sK18 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ sK18 @ mactual ) ) )
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f1133,f968]) ).

thf(f1137,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( man @ sK18 @ mactual )
          = $false )
        | ( $false
          = ( man @ sK17 @ mactual ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( in @ X2 @ X1 @ mactual )
          = $false )
        | ( $false
          = ( young @ sK18 @ mactual ) )
        | ( ( eiw_di @ sK18 @ mactual )
          = $false )
        | ( ( seat @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( fellow @ sK17 @ mactual ) )
        | ( ( qmltpeq @ sK18 @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ sK17 @ mactual )
          = $false )
        | ( ( furniture @ X3 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( $false
          = ( in @ X0 @ X3 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ sK18 @ mactual ) )
        | ( $false
          = ( front @ X3 @ mactual ) )
        | ( ( qmltpeq @ sK17 @ X2 @ mactual )
          = $false ) )
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f1136]) ).

thf(f1140,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( $false
          = ( front @ X3 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( seat @ X3 @ mactual )
          = $false )
        | ( ( qmltpeq @ sK17 @ X2 @ mactual )
          = $false )
        | ( $false
          = ( young @ sK18 @ mactual ) )
        | ( ( in @ X2 @ X1 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ sK18 @ mactual ) )
        | ( ( eiw_di @ sK17 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( in @ X0 @ X3 @ mactual ) )
        | ( $true = $false )
        | ( ( furniture @ X3 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ sK17 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( $false
          = ( man @ sK17 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ sK18 @ mactual )
          = $false )
        | ( ( qmltpeq @ sK18 @ X0 @ mactual )
          = $false ) )
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f1137,f972]) ).

thf(f1141,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( $false
          = ( fellow @ sK18 @ mactual ) )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( qmltpeq @ sK18 @ X0 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ sK18 @ mactual )
          = $false )
        | ( ( furniture @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ sK17 @ mactual )
          = $false )
        | ( $false
          = ( in @ X0 @ X3 @ mactual ) )
        | ( ( seat @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( qmltpeq @ sK17 @ X2 @ mactual )
          = $false )
        | ( ( in @ X2 @ X1 @ mactual )
          = $false )
        | ( $false
          = ( young @ sK18 @ mactual ) )
        | ( $false
          = ( man @ sK17 @ mactual ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ sK17 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( front @ X3 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) ) )
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f1140]) ).

thf(f1144,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( in @ X2 @ X1 @ mactual )
          = $false )
        | ( $false
          = ( man @ sK17 @ mactual ) )
        | ( $false
          = ( young @ sK18 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( qmltpeq @ sK18 @ X0 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $true = $false )
        | ( ( furniture @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ sK18 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( qmltpeq @ sK17 @ X2 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ sK17 @ mactual ) )
        | ( ( seat @ X3 @ mactual )
          = $false )
        | ( $false
          = ( in @ X0 @ X3 @ mactual ) )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( $false
          = ( front @ X3 @ mactual ) )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ sK17 @ mactual )
          = $false ) )
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f1141,f970]) ).

thf(f1145,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( young @ sK18 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( furniture @ X3 @ mactual )
          = $false )
        | ( $false
          = ( front @ X3 @ mactual ) )
        | ( ( eiw_di @ sK17 @ mactual )
          = $false )
        | ( ( eiw_di @ sK18 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ sK17 @ mactual ) )
        | ( ( qmltpeq @ sK18 @ X0 @ mactual )
          = $false )
        | ( ( in @ X2 @ X1 @ mactual )
          = $false )
        | ( $false
          = ( man @ sK17 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( $false
          = ( in @ X0 @ X3 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( qmltpeq @ sK17 @ X2 @ mactual )
          = $false )
        | ( ( seat @ X3 @ mactual )
          = $false ) )
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f1144]) ).

thf(f1148,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( eiw_di @ sK18 @ mactual )
          = $false )
        | ( ( qmltpeq @ sK18 @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ sK17 @ mactual ) )
        | ( $false
          = ( front @ X3 @ mactual ) )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( $true = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( qmltpeq @ sK17 @ X2 @ mactual )
          = $false )
        | ( $false
          = ( in @ X0 @ X3 @ mactual ) )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( $false
          = ( man @ sK17 @ mactual ) )
        | ( ( in @ X2 @ X1 @ mactual )
          = $false )
        | ( $false
          = ( young @ sK18 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( seat @ X3 @ mactual )
          = $false )
        | ( ( furniture @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false ) )
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f1145,f895]) ).

thf(f1149,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( seat @ X3 @ mactual )
          = $false )
        | ( ( qmltpeq @ sK17 @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( young @ sK18 @ mactual ) )
        | ( ( qmltpeq @ sK18 @ X0 @ mactual )
          = $false )
        | ( $false
          = ( in @ X0 @ X3 @ mactual ) )
        | ( ( in @ X2 @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ sK17 @ mactual ) )
        | ( ( eiw_di @ sK18 @ mactual )
          = $false )
        | ( ( furniture @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( man @ sK17 @ mactual ) )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( $false
          = ( front @ X3 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) ) )
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f1148]) ).

thf(f1152,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( qmltpeq @ sK17 @ X2 @ mactual )
          = $false )
        | ( $false
          = ( man @ sK17 @ mactual ) )
        | ( ( in @ X2 @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( in @ X0 @ X3 @ mactual ) )
        | ( $false
          = ( young @ sK18 @ mactual ) )
        | ( $false
          = ( front @ X3 @ mactual ) )
        | ( ( seat @ X3 @ mactual )
          = $false )
        | ( $true = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( furniture @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ sK18 @ mactual )
          = $false )
        | ( ( qmltpeq @ sK18 @ X0 @ mactual )
          = $false ) )
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f1149,f964]) ).

thf(f1153,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ sK18 @ mactual )
          = $false )
        | ( $false
          = ( in @ X0 @ X3 @ mactual ) )
        | ( ( qmltpeq @ sK18 @ X0 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( seat @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( young @ sK18 @ mactual ) )
        | ( $false
          = ( man @ sK17 @ mactual ) )
        | ( $false
          = ( front @ X3 @ mactual ) )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( qmltpeq @ sK17 @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( in @ X2 @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( furniture @ X3 @ mactual )
          = $false ) )
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f1152]) ).

thf(f1156,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( qmltpeq @ sK18 @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( man @ sK17 @ mactual ) )
        | ( $true = $false )
        | ( $false
          = ( young @ sK18 @ mactual ) )
        | ( ( furniture @ X3 @ mactual )
          = $false )
        | ( ( qmltpeq @ sK17 @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( in @ X2 @ X1 @ mactual )
          = $false )
        | ( ( seat @ X3 @ mactual )
          = $false )
        | ( $false
          = ( in @ X0 @ X3 @ mactual ) )
        | ( $false
          = ( front @ X3 @ mactual ) ) )
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f1153,f903]) ).

thf(f1157,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( furniture @ X3 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( seat @ X3 @ mactual )
          = $false )
        | ( ( qmltpeq @ sK17 @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( in @ X2 @ X1 @ mactual )
          = $false )
        | ( $false
          = ( in @ X0 @ X3 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( young @ sK18 @ mactual ) )
        | ( $false
          = ( man @ sK17 @ mactual ) )
        | ( ( qmltpeq @ sK18 @ X0 @ mactual )
          = $false )
        | ( $false
          = ( front @ X3 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( front @ X1 @ mactual )
          = $false ) )
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f1156]) ).

thf(f1160,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( qmltpeq @ sK17 @ X2 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( $false
          = ( in @ X0 @ X3 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $true = $false )
        | ( $false
          = ( front @ X3 @ mactual ) )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( $false
          = ( young @ sK18 @ mactual ) )
        | ( ( qmltpeq @ sK18 @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( seat @ X3 @ mactual )
          = $false )
        | ( ( in @ X2 @ X1 @ mactual )
          = $false )
        | ( ( furniture @ X3 @ mactual )
          = $false ) )
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f1157,f966]) ).

thf(f1161,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( qmltpeq @ sK18 @ X0 @ mactual )
          = $false )
        | ( ( qmltpeq @ sK17 @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( furniture @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( $false
          = ( front @ X3 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( young @ sK18 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( seat @ X3 @ mactual )
          = $false )
        | ( $false
          = ( in @ X0 @ X3 @ mactual ) )
        | ( ( in @ X2 @ X1 @ mactual )
          = $false ) )
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f1160]) ).

thf(f1166,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( qmltpeq @ sK17 @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( in @ X0 @ X3 @ mactual ) )
        | ( ( in @ X2 @ X1 @ mactual )
          = $false )
        | ( $false
          = ( front @ X3 @ mactual ) )
        | ( ( qmltpeq @ sK18 @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( seat @ X3 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( $true = $false )
        | ( ( furniture @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false ) )
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f1161,f974]) ).

thf(f1167,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( front @ X3 @ mactual ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( qmltpeq @ sK18 @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( seat @ X3 @ mactual )
          = $false )
        | ( ( furniture @ X3 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( qmltpeq @ sK17 @ X2 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( in @ X2 @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( in @ X0 @ X3 @ mactual ) ) )
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f1166]) ).

thf(f1171,definition,
    ( spl0_11
  <=> ! [X0: $i,X3: $i] :
        ( ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( in @ X0 @ X3 @ mactual ) )
        | ( ( qmltpeq @ sK18 @ X0 @ mactual )
          = $false )
        | ( $false
          = ( front @ X3 @ mactual ) )
        | ( ( furniture @ X3 @ mactual )
          = $false )
        | ( ( seat @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

thf(f1172,plain,
    ( ! [X3: $i,X0: $i] :
        ( ( $false
          = ( in @ X0 @ X3 @ mactual ) )
        | ( ( seat @ X3 @ mactual )
          = $false )
        | ( ( furniture @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( qmltpeq @ sK18 @ X0 @ mactual )
          = $false )
        | ( $false
          = ( front @ X3 @ mactual ) ) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f1171]) ).

thf(f1174,definition,
    ( spl0_12
  <=> ! [X2: $i,X1: $i] :
        ( ( ( seat @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( in @ X2 @ X1 @ mactual )
          = $false )
        | ( ( qmltpeq @ sK17 @ X2 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

thf(f1175,plain,
    ( ! [X2: $i,X1: $i] :
        ( ( ( qmltpeq @ sK17 @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( in @ X2 @ X1 @ mactual )
          = $false ) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f1174]) ).

thf(f1176,plain,
    ( spl0_11
    | spl0_12
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f1167,f355,f227,f1174,f1171]) ).

thf(f1183,plain,
    ( ! [X0: $i] :
        ( ( $false
          = ( eiw_di @ sK19 @ mactual ) )
        | ( $false
          = ( front @ X0 @ mactual ) )
        | ( $true = $false )
        | ( ( seat @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( in @ sK19 @ X0 @ mactual ) )
        | ( ( furniture @ X0 @ mactual )
          = $false ) )
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(superposition,[],[f976,f1175]) ).

thf(f1184,plain,
    ( ! [X0: $i] :
        ( ( $false
          = ( eiw_di @ sK19 @ mactual ) )
        | ( $false
          = ( front @ X0 @ mactual ) )
        | ( ( seat @ X0 @ mactual )
          = $false )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( $false
          = ( in @ sK19 @ X0 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false ) )
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f1183]) ).

thf(f1191,plain,
    ( ! [X0: $i] :
        ( ( $true = $false )
        | ( $false
          = ( in @ sK19 @ X0 @ mactual ) )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( $false
          = ( front @ X0 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( seat @ X0 @ mactual )
          = $false ) )
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1184,f911]) ).

thf(f1192,plain,
    ( ! [X0: $i] :
        ( ( $false
          = ( in @ sK19 @ X0 @ mactual ) )
        | ( ( seat @ X0 @ mactual )
          = $false )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( $false
          = ( front @ X0 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false ) )
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f1191]) ).

thf(f1201,plain,
    ( ( ( front @ sK11 @ mactual )
      = $false )
    | ( ( furniture @ sK11 @ mactual )
      = $false )
    | ( ( eiw_di @ sK11 @ mactual )
      = $false )
    | ( $false
      = ( seat @ sK11 @ mactual ) )
    | ( $true = $false )
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(superposition,[],[f978,f1192]) ).

thf(f1203,plain,
    ( ( ( eiw_di @ sK11 @ mactual )
      = $false )
    | ( ( furniture @ sK11 @ mactual )
      = $false )
    | ( $false
      = ( seat @ sK11 @ mactual ) )
    | ( ( front @ sK11 @ mactual )
      = $false )
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f1201]) ).

thf(f1205,plain,
    ( ( $true = $false )
    | ( $false
      = ( seat @ sK11 @ mactual ) )
    | ( ( furniture @ sK11 @ mactual )
      = $false )
    | ( ( front @ sK11 @ mactual )
      = $false )
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1203,f840]) ).

thf(f1206,plain,
    ( ( ( front @ sK11 @ mactual )
      = $false )
    | ( $false
      = ( seat @ sK11 @ mactual ) )
    | ( ( furniture @ sK11 @ mactual )
      = $false )
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f1205]) ).

thf(f1209,plain,
    ( ( ( furniture @ sK11 @ mactual )
      = $false )
    | ( $false
      = ( seat @ sK11 @ mactual ) )
    | ( $true = $false )
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1206,f925]) ).

thf(f1210,plain,
    ( ( ( furniture @ sK11 @ mactual )
      = $false )
    | ( $false
      = ( seat @ sK11 @ mactual ) )
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f1209]) ).

thf(f1213,plain,
    ( ( $true = $false )
    | ( $false
      = ( seat @ sK11 @ mactual ) )
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1210,f923]) ).

thf(f1214,plain,
    ( ( $false
      = ( seat @ sK11 @ mactual ) )
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f1213]) ).

thf(f1219,plain,
    ( ( $true = $false )
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(superposition,[],[f921,f1214]) ).

thf(f1222,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f1219]) ).

thf(f1223,plain,
    ( ~ spl0_2
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1222]) ).

thf(f1228,plain,
    ( ( $true = $false )
    | ( $false
      = ( front @ sK12 @ mactual ) )
    | ( ( seat @ sK12 @ mactual )
      = $false )
    | ( ( qmltpeq @ sK18 @ sK20 @ mactual )
      = $false )
    | ( ( eiw_di @ sK12 @ mactual )
      = $false )
    | ( ( furniture @ sK12 @ mactual )
      = $false )
    | ( ( eiw_di @ sK20 @ mactual )
      = $false )
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(superposition,[],[f1172,f979]) ).

thf(f1236,plain,
    ( ( $false
      = ( front @ sK12 @ mactual ) )
    | ( ( eiw_di @ sK20 @ mactual )
      = $false )
    | ( ( eiw_di @ sK12 @ mactual )
      = $false )
    | ( ( qmltpeq @ sK18 @ sK20 @ mactual )
      = $false )
    | ( ( seat @ sK12 @ mactual )
      = $false )
    | ( ( furniture @ sK12 @ mactual )
      = $false )
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f1228]) ).

thf(f1245,plain,
    ( ( ( eiw_di @ sK20 @ mactual )
      = $false )
    | ( ( qmltpeq @ sK18 @ sK20 @ mactual )
      = $false )
    | ( $true = $false )
    | ( ( eiw_di @ sK12 @ mactual )
      = $false )
    | ( ( seat @ sK12 @ mactual )
      = $false )
    | ( ( furniture @ sK12 @ mactual )
      = $false )
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1236,f931]) ).

thf(f1246,plain,
    ( ( ( eiw_di @ sK12 @ mactual )
      = $false )
    | ( ( eiw_di @ sK20 @ mactual )
      = $false )
    | ( ( qmltpeq @ sK18 @ sK20 @ mactual )
      = $false )
    | ( ( seat @ sK12 @ mactual )
      = $false )
    | ( ( furniture @ sK12 @ mactual )
      = $false )
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f1245]) ).

thf(f1257,plain,
    ( ( ( eiw_di @ sK20 @ mactual )
      = $false )
    | ( $true = $false )
    | ( ( qmltpeq @ sK18 @ sK20 @ mactual )
      = $false )
    | ( ( furniture @ sK12 @ mactual )
      = $false )
    | ( ( seat @ sK12 @ mactual )
      = $false )
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1246,f850]) ).

thf(f1258,plain,
    ( ( ( seat @ sK12 @ mactual )
      = $false )
    | ( ( qmltpeq @ sK18 @ sK20 @ mactual )
      = $false )
    | ( ( eiw_di @ sK20 @ mactual )
      = $false )
    | ( ( furniture @ sK12 @ mactual )
      = $false )
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f1257]) ).

thf(f1267,plain,
    ( ( ( qmltpeq @ sK18 @ sK20 @ mactual )
      = $false )
    | ( ( eiw_di @ sK20 @ mactual )
      = $false )
    | ( ( furniture @ sK12 @ mactual )
      = $false )
    | ( $true = $false )
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1258,f927]) ).

thf(f1268,plain,
    ( ( ( furniture @ sK12 @ mactual )
      = $false )
    | ( ( qmltpeq @ sK18 @ sK20 @ mactual )
      = $false )
    | ( ( eiw_di @ sK20 @ mactual )
      = $false )
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f1267]) ).

thf(f1275,plain,
    ( ( ( eiw_di @ sK20 @ mactual )
      = $false )
    | ( ( qmltpeq @ sK18 @ sK20 @ mactual )
      = $false )
    | ( $true = $false )
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1268,f929]) ).

thf(f1276,plain,
    ( ( ( qmltpeq @ sK18 @ sK20 @ mactual )
      = $false )
    | ( ( eiw_di @ sK20 @ mactual )
      = $false )
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f1275]) ).

thf(f1283,plain,
    ( ( $true = $false )
    | ( ( eiw_di @ sK20 @ mactual )
      = $false )
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1276,f980]) ).

thf(f1284,plain,
    ( ( ( eiw_di @ sK20 @ mactual )
      = $false )
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f1283]) ).

thf(f1289,plain,
    ( ( $true = $false )
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(superposition,[],[f1284,f919]) ).

thf(f1294,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f1289]) ).

thf(f1295,plain,
    ( ~ spl0_2
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1294]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2 ),
    inference(sat_conversion,[],[f230]) ).

cnf(s2,plain,
    ( ~ spl0_1
    | spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f360]) ).

cnf(s3,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | spl0_5
    | spl0_6 ),
    inference(sat_conversion,[],[f560]) ).

cnf(s5,plain,
    ( ~ spl0_1
    | ~ spl0_5 ),
    inference(sat_conversion,[],[f607]) ).

cnf(s7,plain,
    ( ~ spl0_1
    | ~ spl0_6 ),
    inference(sat_conversion,[],[f656]) ).

cnf(s8,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | spl0_7
    | spl0_8 ),
    inference(sat_conversion,[],[f693]) ).

cnf(s10,plain,
    ( ~ spl0_1
    | ~ spl0_7 ),
    inference(sat_conversion,[],[f715]) ).

cnf(s12,plain,
    ( ~ spl0_1
    | ~ spl0_8 ),
    inference(sat_conversion,[],[f749]) ).

cnf(s13,plain,
    ( spl0_1
    | spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f832]) ).

cnf(s14,plain,
    ( ~ spl0_2
    | ~ spl0_4
    | spl0_9
    | spl0_10 ),
    inference(sat_conversion,[],[f1063]) ).

cnf(s16,plain,
    ( ~ spl0_2
    | ~ spl0_10 ),
    inference(sat_conversion,[],[f1098]) ).

cnf(s18,plain,
    ( ~ spl0_2
    | ~ spl0_9 ),
    inference(sat_conversion,[],[f1120]) ).

cnf(s19,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | spl0_11
    | spl0_12 ),
    inference(sat_conversion,[],[f1176]) ).

cnf(s21,plain,
    ( ~ spl0_2
    | ~ spl0_12 ),
    inference(sat_conversion,[],[f1223]) ).

cnf(s23,plain,
    ( ~ spl0_2
    | ~ spl0_11 ),
    inference(sat_conversion,[],[f1295]) ).

cnf(s24,plain,
    spl0_1,
    inference(rat,[],[s13,s14,s16,s18,s19,s21,s23,s1]) ).

cnf(s25,plain,
    ~ spl0_8,
    inference(rat,[],[s12,s24]) ).

cnf(s26,plain,
    ~ spl0_7,
    inference(rat,[],[s10,s24]) ).

cnf(s27,plain,
    ~ spl0_4,
    inference(rat,[],[s8,s25,s26,s24]) ).

cnf(s28,plain,
    ~ spl0_6,
    inference(rat,[],[s7,s24]) ).

cnf(s29,plain,
    ~ spl0_5,
    inference(rat,[],[s5,s24]) ).

cnf(s30,plain,
    ~ spl0_3,
    inference(rat,[],[s3,s28,s29,s24]) ).

cnf(s31,plain,
    $false,
    inference(rat,[],[s2,s27,s30,s24]) ).

thf(f1297,plain,
    $false,
    inference(avatar_sat_refutation,[],[s31]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NLP004^12 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22  % Computer : n016.cluster.edu
% 0.09/0.22  % Model    : x86_64 x86_64
% 0.09/0.22  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.22  % Memory   : 8046.5625MB
% 0.09/0.22  % OS       : Linux 6.8.0-71-generic
% 0.09/0.22  % CPULimit : 300
% 0.09/0.22  % WCLimit  : 300
% 0.09/0.22  % DateTime : Tue Sep 29 11:39:04 UTC 2026
% 0.09/0.22  % CPUTime  : 
% 0.09/0.22  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.25  Running higher-order theorem proving
% 0.22/0.28  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.56/0.46  % (235506)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.56/0.46  % (235512)lrs+10_16_si=on:nwc=1.5:random_seed=4288594966:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.56/0.46  % (235513)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2840438709:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.56/0.46  % (235511)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3667843522:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.56/0.46  % (235514)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=4013108856:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.56/0.46  % (235513)Instruction limit reached! 
% 0.56/0.46  % (235513)------------------------------
% 0.56/0.46  % (235513)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.46  % (235513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.46  % (235513)CaDiCaL version: 2.1.3
% 0.56/0.46  % (235513)Termination reason: Instruction limit
% 0.56/0.46  % (235513)Termination phase: shuffling
% 0.56/0.46  % (235513)Time elapsed: 0.003 s
% 0.56/0.46  % (235513)Peak memory usage: 10 MB
% 0.56/0.46  % (235513)Instructions burned: 8 (million)
% 0.56/0.46  % (235517)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.56/0.46  % (235517)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.56/0.46  % (235516)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3355587897:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.56/0.46  % (235512)Instruction limit reached! 
% 0.56/0.46  % (235512)------------------------------
% 0.56/0.46  % (235512)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.46  % (235512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.46  % (235512)CaDiCaL version: 2.1.3
% 0.56/0.46  % (235512)Termination reason: Instruction limit
% 0.56/0.46  % (235512)Termination phase: Property scanning
% 0.56/0.46  % (235512)Time elapsed: 0.014 s
% 0.56/0.46  % (235512)Peak memory usage: 10 MB
% 0.56/0.46  % (235512)Instructions burned: 18 (million)
% 0.56/0.46  % (235515)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2608812513:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.56/0.46  % (235517)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=506025353:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.56/0.46  % (235524)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2425778482:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.56/0.46  % (235522)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2446611829:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.56/0.46  % (235511)Instruction limit reached! 
% 0.56/0.46  % (235511)------------------------------
% 0.56/0.46  % (235511)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.46  % (235511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.46  % (235511)CaDiCaL version: 2.1.3
% 0.56/0.46  % (235511)Termination reason: Instruction limit
% 0.56/0.46  % (235511)Termination phase: Saturation
% 0.56/0.46  % (235511)Time elapsed: 0.035 s
% 0.56/0.46  % (235511)Peak memory usage: 12 MB
% 0.56/0.46  % (235511)Instructions burned: 88 (million)
% 0.56/0.46  % (235524)Instruction limit reached! 
% 0.56/0.46  % (235524)------------------------------
% 0.56/0.46  % (235524)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.46  % (235524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.46  % (235524)CaDiCaL version: 2.1.3
% 0.56/0.46  % (235524)Termination reason: Instruction limit
% 0.56/0.46  % (235524)Termination phase: shuffling
% 0.56/0.46  % (235524)Time elapsed: 0.003 s
% 0.56/0.46  % (235524)Peak memory usage: 10 MB
% 0.56/0.46  % (235524)Instructions burned: 8 (million)
% 0.56/0.46  % (235522)Instruction limit reached! 
% 1.06/0.51  % (235522)------------------------------
% 1.06/0.51  % (235522)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.06/0.51  % (235522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.06/0.51  % (235522)CaDiCaL version: 2.1.3
% 1.06/0.51  % (235522)Termination reason: Instruction limit
% 1.06/0.51  % (235522)Termination phase: shuffling
% 1.06/0.51  % (235522)Time elapsed: 0.002 s
% 1.06/0.51  % (235522)Peak memory usage: 9 MB
% 1.06/0.51  % (235522)Instructions burned: 2 (million)
% 1.06/0.51  % (235515)Instruction limit reached! 
% 1.06/0.51  % (235515)------------------------------
% 1.06/0.51  % (235515)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.06/0.51  % (235515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.06/0.51  % (235515)CaDiCaL version: 2.1.3
% 1.06/0.51  % (235515)Termination reason: Instruction limit
% 1.06/0.51  % (235515)Termination phase: Saturation
% 1.06/0.51  % (235515)Time elapsed: 0.021 s
% 1.06/0.51  % (235515)Peak memory usage: 12 MB
% 1.06/0.51  % (235515)Instructions burned: 24 (million)
% 1.06/0.51  % (235530)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=700803544:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.06/0.51  % (235530)Instruction limit reached! 
% 1.06/0.51  % (235530)------------------------------
% 1.06/0.51  % (235530)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.06/0.51  % (235530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.06/0.51  % (235530)CaDiCaL version: 2.1.3
% 1.06/0.51  % (235530)Termination reason: Instruction limit
% 1.06/0.51  % (235530)Termination phase: Property scanning
% 1.06/0.51  % (235530)Time elapsed: 0.005 s
% 1.06/0.51  % (235530)Peak memory usage: 10 MB
% 1.06/0.51  % (235530)Instructions burned: 13 (million)
% 1.06/0.51  % (235529)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.06/0.51  % (235531)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.06/0.51  % (235531)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.06/0.51  % (235516)Instruction limit reached! 
% 1.06/0.51  % (235516)------------------------------
% 1.06/0.51  % (235516)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.06/0.51  % (235516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.06/0.51  % (235516)CaDiCaL version: 2.1.3
% 1.06/0.51  % (235516)Termination reason: Instruction limit
% 1.06/0.51  % (235516)Termination phase: Saturation
% 1.06/0.51  % (235516)Time elapsed: 0.056 s
% 1.06/0.51  % (235516)Peak memory usage: 12 MB
% 1.06/0.51  % (235516)Instructions burned: 75 (million)
% 1.06/0.51  % (235529)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2357621143:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.06/0.51  % (235531)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=870606087:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.06/0.51  % (235532)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=964197076:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.06/0.51  % (235529)Instruction limit reached! 
% 1.06/0.51  % (235529)------------------------------
% 1.06/0.51  % (235529)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.06/0.51  % (235529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.06/0.51  % (235529)CaDiCaL version: 2.1.3
% 1.06/0.51  % (235529)Termination reason: Instruction limit
% 1.06/0.51  % (235529)Termination phase: Property scanning
% 1.06/0.51  % (235529)Time elapsed: 0.007 s
% 1.06/0.51  % (235529)Peak memory usage: 9 MB
% 1.06/0.51  % (235529)Instructions burned: 8 (million)
% 1.06/0.51  % (235534)lrs+10_1_si=on:cs=on:random_seed=1392039394:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.06/0.51  % (235535)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.06/0.55  % (235534)Instruction limit reached! 
% 1.06/0.55  % (235534)------------------------------
% 1.06/0.55  % (235534)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.06/0.55  % (235534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.06/0.55  % (235534)CaDiCaL version: 2.1.3
% 1.06/0.55  % (235534)Termination reason: Instruction limit
% 1.06/0.55  % (235534)Termination phase: Property scanning
% 1.06/0.55  % (235534)Time elapsed: 0.004 s
% 1.06/0.55  % (235534)Peak memory usage: 10 MB
% 1.06/0.55  % (235534)Instructions burned: 10 (million)
% 1.06/0.55  % (235535)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=614255459:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.06/0.55  % (235531)Instruction limit reached! 
% 1.06/0.55  % (235531)------------------------------
% 1.06/0.55  % (235531)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.06/0.55  % (235531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.06/0.55  % (235531)CaDiCaL version: 2.1.3
% 1.06/0.55  % (235531)Termination reason: Instruction limit
% 1.06/0.55  % (235531)Termination phase: Property scanning
% 1.06/0.55  % (235531)Time elapsed: 0.016 s
% 1.06/0.55  % (235531)Peak memory usage: 11 MB
% 1.06/0.55  % (235531)Instructions burned: 30 (million)
% 1.06/0.55  % (235535)Instruction limit reached! 
% 1.06/0.55  % (235535)------------------------------
% 1.06/0.55  % (235535)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.06/0.55  % (235535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.06/0.55  % (235535)CaDiCaL version: 2.1.3
% 1.06/0.55  % (235535)Termination reason: Instruction limit
% 1.06/0.55  % (235535)Termination phase: Property scanning
% 1.06/0.55  % (235535)Time elapsed: 0.003 s
% 1.06/0.55  % (235535)Peak memory usage: 10 MB
% 1.06/0.55  % (235535)Instructions burned: 6 (million)
% 1.06/0.55  % (235540)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=632401192:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.06/0.55  % (235544)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3551124987:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.06/0.55  % (235544)Instruction limit reached! 
% 1.06/0.55  % (235544)------------------------------
% 1.06/0.55  % (235544)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.06/0.55  % (235544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.06/0.55  % (235544)CaDiCaL version: 2.1.3
% 1.06/0.55  % (235544)Termination reason: Instruction limit
% 1.06/0.55  % (235544)Termination phase: Property scanning
% 1.06/0.55  % (235544)Time elapsed: 0.006 s
% 1.06/0.55  % (235544)Peak memory usage: 10 MB
% 1.06/0.55  % (235544)Instructions burned: 16 (million)
% 1.06/0.55  % (235541)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2236265977:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.06/0.55  % (235540)Instruction limit reached! 
% 1.06/0.55  % (235540)------------------------------
% 1.06/0.55  % (235540)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.06/0.55  % (235540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.06/0.55  % (235540)CaDiCaL version: 2.1.3
% 1.06/0.55  % (235540)Termination reason: Instruction limit
% 1.06/0.55  % (235540)Termination phase: Saturation
% 1.06/0.55  % (235540)Time elapsed: 0.015 s
% 1.06/0.55  % (235540)Peak memory usage: 12 MB
% 1.06/0.55  % (235540)Instructions burned: 38 (million)
% 1.06/0.55  % (235543)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1444967723:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.06/0.55  % (235547)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2926316290:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.06/0.55  % (235532)Instruction limit reached! 
% 1.06/0.55  % (235532)------------------------------
% 1.06/0.55  % (235532)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.06/0.55  % (235549)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3910932425:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.06/0.55  % (235532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.68/0.59  % (235532)CaDiCaL version: 2.1.3
% 1.68/0.59  % (235532)Termination reason: Instruction limit
% 1.68/0.59  % (235532)Termination phase: Saturation
% 1.68/0.59  % (235532)Time elapsed: 0.062 s
% 1.68/0.59  % (235532)Peak memory usage: 12 MB
% 1.68/0.59  % (235532)Instructions burned: 87 (million)
% 1.68/0.59  % (235543)Instruction limit reached! 
% 1.68/0.59  % (235543)------------------------------
% 1.68/0.59  % (235543)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.68/0.59  % (235543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.68/0.59  % (235543)CaDiCaL version: 2.1.3
% 1.68/0.59  % (235543)Termination reason: Instruction limit
% 1.68/0.59  % (235543)Termination phase: Property scanning
% 1.68/0.59  % (235543)Time elapsed: 0.019 s
% 1.68/0.59  % (235543)Peak memory usage: 10 MB
% 1.68/0.59  % (235543)Instructions burned: 25 (million)
% 1.68/0.59  % (235517)Instruction limit reached! 
% 1.68/0.59  % (235517)------------------------------
% 1.68/0.59  % (235517)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.68/0.59  % (235517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.68/0.59  % (235517)CaDiCaL version: 2.1.3
% 1.68/0.59  % (235517)Termination reason: Instruction limit
% 1.68/0.59  % (235517)Termination phase: Saturation
% 1.68/0.59  % (235517)Time elapsed: 0.123 s
% 1.68/0.59  % (235517)Peak memory usage: 13 MB
% 1.68/0.59  % (235517)Instructions burned: 158 (million)
% 1.68/0.59  % (235549)Instruction limit reached! 
% 1.68/0.59  % (235549)------------------------------
% 1.68/0.59  % (235549)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.68/0.59  % (235549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.68/0.59  % (235549)CaDiCaL version: 2.1.3
% 1.68/0.59  % (235549)Termination reason: Instruction limit
% 1.68/0.59  % (235549)Termination phase: Property scanning
% 1.68/0.59  % (235549)Time elapsed: 0.006 s
% 1.68/0.59  % (235549)Peak memory usage: 10 MB
% 1.68/0.59  % (235549)Instructions burned: 14 (million)
% 1.68/0.59  % (235556)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=410491282:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.68/0.59  % (235541)Refutation not found, incomplete strategy
% 1.68/0.59  % (235541)------------------------------
% 1.68/0.59  % (235541)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.68/0.59  % (235541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.68/0.59  % (235541)CaDiCaL version: 2.1.3
% 1.68/0.59  % (235541)Termination reason: Refutation not found, incomplete strategy
% 1.68/0.59  % (235541)Time elapsed: 0.055 s
% 1.68/0.59  % (235541)Peak memory usage: 13 MB
% 1.68/0.59  % (235541)Instructions burned: 70 (million)
% 1.68/0.59  % (235541)------------------------------
% 1.68/0.59  % (235541)------------------------------
% 1.68/0.59  % (235553)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=546057855:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.68/0.59  % (235554)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1606947897:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.68/0.59  % (235555)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2994632431:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.68/0.59  % (235553)Instruction limit reached! 
% 1.68/0.59  % (235553)------------------------------
% 1.68/0.59  % (235553)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.68/0.59  % (235553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.68/0.59  % (235553)CaDiCaL version: 2.1.3
% 1.68/0.59  % (235553)Termination reason: Instruction limit
% 1.68/0.59  % (235553)Termination phase: shuffling
% 1.68/0.59  % (235553)Time elapsed: 0.003 s
% 1.68/0.59  % (235553)Peak memory usage: 10 MB
% 1.68/0.59  % (235553)Instructions burned: 9 (million)
% 1.68/0.59  % (235554)Instruction limit reached! 
% 1.68/0.59  % (235554)------------------------------
% 1.68/0.59  % (235554)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.68/0.59  % (235554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.68/0.59  % (235554)CaDiCaL version: 2.1.3
% 1.68/0.59  % (235554)Termination reason: Instruction limit
% 1.68/0.59  % (235554)Termination phase: Property scanning
% 1.68/0.59  % (235554)Time elapsed: 0.011 s
% 1.97/0.65  % (235554)Peak memory usage: 10 MB
% 1.97/0.65  % (235554)Instructions burned: 28 (million)
% 1.97/0.65  % (235556)Instruction limit reached! 
% 1.97/0.65  % (235556)------------------------------
% 1.97/0.65  % (235556)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.97/0.65  % (235556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/0.65  % (235556)CaDiCaL version: 2.1.3
% 1.97/0.65  % (235556)Termination reason: Instruction limit
% 1.97/0.65  % (235556)Termination phase: Saturation
% 1.97/0.65  % (235556)Time elapsed: 0.028 s
% 1.97/0.65  % (235556)Peak memory usage: 12 MB
% 1.97/0.65  % (235556)Instructions burned: 60 (million)
% 1.97/0.65  % (235558)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.97/0.65  % (235558)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.97/0.65  % (235562)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.97/0.65  % (235555)Instruction limit reached! 
% 1.97/0.65  % (235555)------------------------------
% 1.97/0.65  % (235555)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.97/0.65  % (235555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/0.65  % (235555)CaDiCaL version: 2.1.3
% 1.97/0.65  % (235555)Termination reason: Instruction limit
% 1.97/0.65  % (235555)Termination phase: Property scanning
% 1.97/0.65  % (235555)Time elapsed: 0.018 s
% 1.97/0.65  % (235555)Peak memory usage: 11 MB
% 1.97/0.65  % (235555)Instructions burned: 24 (million)
% 1.97/0.65  % (235558)ott+21_1_to=kbo:sil=128000:cnfonf=lazy_gen:bsd=on:si=on:sp=const_frequency:lma=off:uwa=off:foolp=on:s2agt=10:lwlo=on:random_seed=2264580666:i=14:add=off:nm=40:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 1.97/0.65  % (235562)lrs+1010_4:1_slsqr=8,1:to=kbo:cha=on:drc=off:si=on:sp=arity:lcm=predicate:uwa=off:fd=preordered:gs=on:nwc=5:s2agt=32:slsqc=1:kmz=on:updr=off:chr=on:pe=on:slsq=on:random_seed=3840333666:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2997 on theBenchmark for (2997ds/8Mi)
% 1.97/0.65  % (235562)Instruction limit reached! 
% 1.97/0.65  % (235562)------------------------------
% 1.97/0.65  % (235562)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.97/0.65  % (235562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/0.65  % (235562)CaDiCaL version: 2.1.3
% 1.97/0.65  % (235562)Termination reason: Instruction limit
% 1.97/0.65  % (235562)Termination phase: shuffling
% 1.97/0.65  % (235562)Time elapsed: 0.003 s
% 1.97/0.65  % (235562)Peak memory usage: 10 MB
% 1.97/0.65  % (235562)Instructions burned: 8 (million)
% 1.97/0.65  % (235558)Instruction limit reached! 
% 1.97/0.65  % (235558)------------------------------
% 1.97/0.65  % (235558)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.97/0.65  % (235558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/0.65  % (235558)CaDiCaL version: 2.1.3
% 1.97/0.65  % (235558)Termination reason: Instruction limit
% 1.97/0.65  % (235558)Termination phase: Property scanning
% 1.97/0.65  % (235558)Time elapsed: 0.006 s
% 1.97/0.65  % (235558)Peak memory usage: 10 MB
% 1.97/0.65  % (235558)Instructions burned: 15 (million)
% 1.97/0.65  % (235568)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=49358559:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 1.97/0.65  % (235564)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1899662969:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 1.97/0.65  % (235563)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=189221579:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 1.97/0.65  % (235564)Instruction limit reached! 
% 1.97/0.65  % (235564)------------------------------
% 1.97/0.65  % (235564)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.97/0.65  % (235564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/0.65  % (235564)CaDiCaL version: 2.1.3
% 1.97/0.65  % (235564)Termination reason: Instruction limit
% 1.97/0.65  % (235564)Termination phase: shuffling
% 1.97/0.65  % (235564)Time elapsed: 0.003 s
% 1.97/0.65  % (235564)Peak memory usage: 10 MB
% 1.97/0.65  % (235564)Instructions burned: 7 (million)
% 2.46/0.71  % (235547)Refutation not found, incomplete strategy
% 2.46/0.71  % (235547)------------------------------
% 2.46/0.71  % (235547)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.71  % (235547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.71  % (235547)CaDiCaL version: 2.1.3
% 2.46/0.71  % (235547)Termination reason: Refutation not found, incomplete strategy
% 2.46/0.71  % (235547)Time elapsed: 0.094 s
% 2.46/0.71  % (235547)Peak memory usage: 14 MB
% 2.46/0.71  % (235547)Instructions burned: 153 (million)
% 2.46/0.71  % (235569)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2645551599:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.46/0.71  % (235547)------------------------------
% 2.46/0.71  % (235547)------------------------------
% 2.46/0.71  % (235568)Instruction limit reached! 
% 2.46/0.71  % (235568)------------------------------
% 2.46/0.71  % (235568)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.71  % (235568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.71  % (235568)CaDiCaL version: 2.1.3
% 2.46/0.71  % (235568)Termination reason: Instruction limit
% 2.46/0.71  % (235568)Termination phase: Property scanning
% 2.46/0.71  % (235568)Time elapsed: 0.009 s
% 2.46/0.71  % (235568)Peak memory usage: 11 MB
% 2.46/0.71  % (235568)Instructions burned: 22 (million)
% 2.46/0.71  % (235566)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=3176492777:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.46/0.71  % (235566)Instruction limit reached! 
% 2.46/0.71  % (235566)------------------------------
% 2.46/0.71  % (235566)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.71  % (235566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.71  % (235566)CaDiCaL version: 2.1.3
% 2.46/0.71  % (235566)Termination reason: Instruction limit
% 2.46/0.71  % (235566)Termination phase: Property scanning
% 2.46/0.71  % (235566)Time elapsed: 0.009 s
% 2.46/0.71  % (235566)Peak memory usage: 10 MB
% 2.46/0.71  % (235566)Instructions burned: 23 (million)
% 2.46/0.71  % (235563)Instruction limit reached! 
% 2.46/0.71  % (235563)------------------------------
% 2.46/0.71  % (235563)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.71  % (235563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.71  % (235563)CaDiCaL version: 2.1.3
% 2.46/0.71  % (235563)Termination reason: Instruction limit
% 2.46/0.71  % (235563)Termination phase: Saturation
% 2.46/0.71  % (235563)Time elapsed: 0.026 s
% 2.46/0.71  % (235563)Peak memory usage: 12 MB
% 2.46/0.71  % (235563)Instructions burned: 31 (million)
% 2.46/0.71  % (235576)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2030860932:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.46/0.71  % (235575)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=1765012095:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.46/0.71  % (235578)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.46/0.71  % (235578)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2413509692:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.46/0.71  % (235574)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3494314123:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.46/0.71  % (235578)Instruction limit reached! 
% 2.46/0.71  % (235578)------------------------------
% 2.46/0.71  % (235578)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.71  % (235578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.71  % (235578)CaDiCaL version: 2.1.3
% 2.46/0.71  % (235578)Termination reason: Instruction limit
% 2.46/0.71  % (235578)Termination phase: Property scanning
% 2.46/0.71  % (235578)Time elapsed: 0.003 s
% 2.46/0.71  % (235578)Peak memory usage: 10 MB
% 2.46/0.71  % (235578)Instructions burned: 8 (million)
% 2.46/0.71  % (235576)Instruction limit reached! 
% 2.46/0.71  % (235576)------------------------------
% 2.46/0.71  % (235576)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.71  % (235576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.79  % (235576)CaDiCaL version: 2.1.3
% 2.46/0.79  % (235576)Termination reason: Instruction limit
% 2.46/0.79  % (235576)Termination phase: Saturation
% 2.46/0.79  % (235576)Time elapsed: 0.017 s
% 2.46/0.79  % (235576)Peak memory usage: 12 MB
% 2.46/0.79  % (235576)Instructions burned: 43 (million)
% 2.46/0.79  % (235580)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3657100905:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.46/0.79  % (235586)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.46/0.79  % (235584)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=2749957386:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2996 on theBenchmark for (2996ds/169Mi)
% 2.46/0.79  % (235586)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=136923859:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2996 on theBenchmark for (2996ds/6Mi)
% 2.46/0.79  % (235586)Instruction limit reached! 
% 2.46/0.79  % (235586)------------------------------
% 2.46/0.79  % (235586)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.79  % (235586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.79  % (235586)CaDiCaL version: 2.1.3
% 2.46/0.79  % (235586)Termination reason: Instruction limit
% 2.46/0.79  % (235586)Termination phase: Property scanning
% 2.46/0.79  % (235586)Time elapsed: 0.003 s
% 2.46/0.79  % (235586)Peak memory usage: 10 MB
% 2.46/0.79  % (235586)Instructions burned: 7 (million)
% 2.46/0.79  % (235575)Refutation not found, incomplete strategy
% 2.46/0.79  % (235575)------------------------------
% 2.46/0.79  % (235575)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.79  % (235575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.79  % (235575)CaDiCaL version: 2.1.3
% 2.46/0.79  % (235575)Termination reason: Refutation not found, incomplete strategy
% 2.46/0.79  % (235575)Time elapsed: 0.040 s
% 2.46/0.79  % (235575)Peak memory usage: 14 MB
% 2.46/0.79  % (235575)Instructions burned: 94 (million)
% 2.46/0.79  % (235575)------------------------------
% 2.46/0.79  % (235575)------------------------------
% 2.46/0.79  % (235514)Instruction limit reached! 
% 2.46/0.79  % (235514)------------------------------
% 2.46/0.79  % (235514)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.79  % (235514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.79  % (235514)CaDiCaL version: 2.1.3
% 2.46/0.79  % (235514)Termination reason: Instruction limit
% 2.46/0.79  % (235514)Termination phase: Saturation
% 2.46/0.79  % (235514)Time elapsed: 0.299 s
% 2.46/0.79  % (235514)Peak memory usage: 14 MB
% 2.46/0.79  % (235514)Instructions burned: 635 (million)
% 2.46/0.79  % (235589)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2374809751:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2996 on theBenchmark for (2996ds/22Mi)
% 2.46/0.79  % (235590)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2772729746:i=19:add=on:rtra=on_2996 on theBenchmark for (2996ds/19Mi)
% 2.46/0.79  % (235591)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=2190672975:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/316Mi)
% 2.46/0.79  % (235589)Instruction limit reached! 
% 2.46/0.79  % (235589)------------------------------
% 2.46/0.79  % (235589)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.79  % (235589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.79  % (235589)CaDiCaL version: 2.1.3
% 2.46/0.79  % (235589)Termination reason: Instruction limit
% 2.46/0.79  % (235589)Termination phase: Function definition elimination
% 2.46/0.79  % (235589)Time elapsed: 0.009 s
% 2.46/0.79  % (235589)Peak memory usage: 10 MB
% 2.46/0.79  % (235589)Instructions burned: 22 (million)
% 2.46/0.79  % (235590)Instruction limit reached! 
% 2.46/0.79  % (235590)------------------------------
% 2.46/0.79  % (235590)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.79  % (235590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/0.88  % (235590)CaDiCaL version: 2.1.3
% 2.99/0.88  % (235590)Termination reason: Instruction limit
% 2.99/0.88  % (235590)Termination phase: Property scanning
% 2.99/0.88  % (235590)Time elapsed: 0.009 s
% 2.99/0.88  % (235590)Peak memory usage: 10 MB
% 2.99/0.88  % (235590)Instructions burned: 21 (million)
% 2.99/0.88  % (235584)Refutation not found, incomplete strategy
% 2.99/0.88  % (235584)------------------------------
% 2.99/0.88  % (235584)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.99/0.88  % (235584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/0.88  % (235584)CaDiCaL version: 2.1.3
% 2.99/0.88  % (235584)Termination reason: Refutation not found, incomplete strategy
% 2.99/0.88  % (235584)Time elapsed: 0.052 s
% 2.99/0.88  % (235595)dis+1004_4:1_slsqr=1,2:to=lpo:plsq=on:fde=unused:e2e=on:si=on:spb=goal_then_units:acc=on:urr=on:uwa=off:fd=preordered:s2agt=16:slsqc=1:slsq=on:random_seed=4186863092:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2996 on theBenchmark for (2996ds/853Mi)
% 2.99/0.88  % (235584)Peak memory usage: 13 MB
% 2.99/0.88  % (235584)Instructions burned: 128 (million)
% 2.99/0.88  % (235584)------------------------------
% 2.99/0.88  % (235584)------------------------------
% 2.99/0.88  % (235596)dis+1003_3:4_to=kbo:plsq=on:prc=on:sims=off:e2e=on:si=on:spb=intro:acc=on:urr=on:uwa=off:foolp=on:s2agt=32:slsqc=3:slsq=on:random_seed=2277404993:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2996 on theBenchmark for (2996ds/45Mi)
% 2.99/0.88  % (235598)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1833064800:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 2.99/0.88  % (235596)Instruction limit reached! 
% 2.99/0.88  % (235596)------------------------------
% 2.99/0.88  % (235596)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.99/0.88  % (235596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/0.88  % (235596)CaDiCaL version: 2.1.3
% 2.99/0.88  % (235596)Termination reason: Instruction limit
% 2.99/0.88  % (235596)Termination phase: Saturation
% 2.99/0.88  % (235596)Time elapsed: 0.018 s
% 2.99/0.88  % (235596)Peak memory usage: 12 MB
% 2.99/0.88  % (235596)Instructions burned: 46 (million)
% 2.99/0.88  % (235580)Refutation not found, incomplete strategy
% 2.99/0.88  % (235580)------------------------------
% 2.99/0.88  % (235580)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.99/0.88  % (235580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/0.88  % (235580)CaDiCaL version: 2.1.3
% 2.99/0.88  % (235580)Termination reason: Refutation not found, incomplete strategy
% 2.99/0.88  % (235580)Time elapsed: 0.094 s
% 2.99/0.88  % (235580)Peak memory usage: 14 MB
% 2.99/0.88  % (235580)Instructions burned: 168 (million)
% 2.99/0.88  % (235580)------------------------------
% 2.99/0.88  % (235580)------------------------------
% 2.99/0.88  % (235574)Instruction limit reached! 
% 2.99/0.88  % (235574)------------------------------
% 2.99/0.88  % (235574)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.99/0.88  % (235574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/0.88  % (235574)CaDiCaL version: 2.1.3
% 2.99/0.88  % (235574)Termination reason: Instruction limit
% 2.99/0.88  % (235574)Termination phase: Saturation
% 2.99/0.88  % (235574)Time elapsed: 0.106 s
% 2.99/0.88  % (235574)Peak memory usage: 12 MB
% 2.99/0.88  % (235574)Instructions burned: 144 (million)
% 2.99/0.88  % (235598)Refutation not found, incomplete strategy
% 2.99/0.88  % (235598)------------------------------
% 2.99/0.88  % (235598)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.99/0.88  % (235598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/0.88  % (235598)CaDiCaL version: 2.1.3
% 2.99/0.88  % (235598)Termination reason: Refutation not found, incomplete strategy
% 2.99/0.88  % (235598)Time elapsed: 0.020 s
% 2.99/0.88  % (235598)Peak memory usage: 13 MB
% 2.99/0.88  % (235598)Instructions burned: 46 (million)
% 2.99/0.88  % (235598)------------------------------
% 2.99/0.88  % (235598)------------------------------
% 2.99/0.88  % (235602)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.99/0.88  % (235602)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=2314289398:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/200Mi)
% 3.62/0.96  % (235601)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=2088627353:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2996 on theBenchmark for (2996ds/21Mi)
% 3.62/0.96  % (235603)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2714070052:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2995 on theBenchmark for (2995ds/13Mi)
% 3.62/0.96  % (235603)Instruction limit reached! 
% 3.62/0.96  % (235603)------------------------------
% 3.62/0.96  % (235603)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.62/0.96  % (235603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.62/0.96  % (235603)CaDiCaL version: 2.1.3
% 3.62/0.96  % (235603)Termination reason: Instruction limit
% 3.62/0.96  % (235603)Termination phase: SInE selection
% 3.62/0.96  % (235603)Time elapsed: 0.006 s
% 3.62/0.96  % (235603)Peak memory usage: 10 MB
% 3.62/0.96  % (235603)Instructions burned: 15 (million)
% 3.62/0.96  % (235604)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=1223023396:i=66:s2at=3:nm=2:rtra=on:rawr=on_2995 on theBenchmark for (2995ds/66Mi)
% 3.62/0.97  % (235601)Instruction limit reached! 
% 3.62/0.97  % (235601)------------------------------
% 3.62/0.97  % (235601)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.62/0.97  % (235601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.62/0.97  % (235601)CaDiCaL version: 2.1.3
% 3.62/0.97  % (235601)Termination reason: Instruction limit
% 3.62/0.97  % (235601)Termination phase: Function definition elimination
% 3.62/0.97  % (235601)Time elapsed: 0.016 s
% 3.62/0.97  % (235601)Peak memory usage: 10 MB
% 3.62/0.97  % (235601)Instructions burned: 22 (million)
% 3.62/0.97  % (235609)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=3134293509:i=51:fsr=off:rtra=on_2995 on theBenchmark for (2995ds/51Mi)
% 3.62/0.97  % (235604)Instruction limit reached! 
% 3.62/0.97  % (235604)------------------------------
% 3.62/0.97  % (235604)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.62/0.97  % (235604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.62/0.97  % (235604)CaDiCaL version: 2.1.3
% 3.62/0.97  % (235604)Termination reason: Instruction limit
% 3.62/0.97  % (235604)Termination phase: Saturation
% 3.62/0.97  % (235604)Time elapsed: 0.027 s
% 3.62/0.97  % (235604)Peak memory usage: 12 MB
% 3.62/0.97  % (235604)Instructions burned: 68 (million)
% 3.62/0.97  % (235610)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2364895396:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/31Mi)
% 3.62/0.97  % (235609)Instruction limit reached! 
% 3.62/0.97  % (235609)------------------------------
% 3.62/0.97  % (235609)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.62/0.97  % (235609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.62/0.97  % (235609)CaDiCaL version: 2.1.3
% 3.62/0.97  % (235609)Termination reason: Instruction limit
% 3.62/0.97  % (235609)Termination phase: Saturation
% 3.62/0.97  % (235609)Time elapsed: 0.022 s
% 3.62/0.97  % (235609)Peak memory usage: 12 MB
% 3.62/0.97  % (235609)Instructions burned: 53 (million)
% 3.62/0.97  % (235612)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=2531824511:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2995 on theBenchmark for (2995ds/137Mi)
% 3.62/0.97  % (235614)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=4223850656:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 3.62/0.97  % (235610)Instruction limit reached! 
% 3.62/0.97  % (235610)------------------------------
% 3.62/0.97  % (235610)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.62/0.97  % (235610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.62/0.97  % (235610)CaDiCaL version: 2.1.3
% 3.62/0.97  % (235610)Termination reason: Instruction limit
% 3.62/0.97  % (235610)Termination phase: Property scanning
% 3.62/0.97  % (235610)Time elapsed: 0.024 s
% 3.62/0.97  % (235610)Peak memory usage: 10 MB
% 3.62/0.97  % (235610)Instructions burned: 31 (million)
% 3.62/0.97  % (235591)Instruction limit reached! 
% 3.62/0.97  % (235591)------------------------------
% 3.62/0.97  % (235591)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.88/1.07  % (235591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.88/1.07  % (235591)CaDiCaL version: 2.1.3
% 4.88/1.07  % (235591)Termination reason: Instruction limit
% 4.88/1.07  % (235591)Termination phase: Saturation
% 4.88/1.07  % (235591)Time elapsed: 0.148 s
% 4.88/1.07  % (235591)Peak memory usage: 15 MB
% 4.88/1.07  % (235591)Instructions burned: 316 (million)
% 4.88/1.07  % (235618)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 4.88/1.07  % (235614)Instruction limit reached! 
% 4.88/1.07  % (235614)------------------------------
% 4.88/1.07  % (235614)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.88/1.07  % (235614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.88/1.07  % (235614)CaDiCaL version: 2.1.3
% 4.88/1.07  % (235614)Termination reason: Instruction limit
% 4.88/1.07  % (235614)Termination phase: Property scanning
% 4.88/1.07  % (235614)Time elapsed: 0.022 s
% 4.88/1.07  % (235614)Peak memory usage: 10 MB
% 4.88/1.07  % (235614)Instructions burned: 34 (million)
% 4.88/1.07  % (235618)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=2132098266:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2994 on theBenchmark for (2994ds/180Mi)
% 4.88/1.07  % (235617)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=35722865:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2995 on theBenchmark for (2995ds/67Mi)
% 4.88/1.07  % (235602)Instruction limit reached! 
% 4.88/1.07  % (235602)------------------------------
% 4.88/1.07  % (235602)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.88/1.07  % (235602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.88/1.07  % (235602)CaDiCaL version: 2.1.3
% 4.88/1.07  % (235602)Termination reason: Instruction limit
% 4.88/1.07  % (235602)Termination phase: Saturation
% 4.88/1.07  % (235602)Time elapsed: 0.111 s
% 4.88/1.07  % (235602)Peak memory usage: 13 MB
% 4.88/1.07  % (235602)Instructions burned: 200 (million)
% 4.88/1.07  % (235617)Instruction limit reached! 
% 4.88/1.07  % (235617)------------------------------
% 4.88/1.07  % (235617)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.88/1.07  % (235617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.88/1.07  % (235617)CaDiCaL version: 2.1.3
% 4.88/1.07  % (235617)Termination reason: Instruction limit
% 4.88/1.07  % (235617)Termination phase: Saturation
% 4.88/1.07  % (235617)Time elapsed: 0.029 s
% 4.88/1.07  % (235617)Peak memory usage: 12 MB
% 4.88/1.07  % (235617)Instructions burned: 69 (million)
% 4.88/1.07  % (235622)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=2983035054:cond=on:i=96:bd=all:rtra=on_2994 on theBenchmark for (2994ds/96Mi)
% 4.88/1.07  % (235621)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=2009106717:st=2:i=246:sd=3:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/246Mi)
% 4.88/1.07  % (235623)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=379466076:i=427:sd=1:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/427Mi)
% 4.88/1.07  % (235612)Instruction limit reached! 
% 4.88/1.07  % (235612)------------------------------
% 4.88/1.07  % (235612)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.88/1.07  % (235612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.88/1.07  % (235612)CaDiCaL version: 2.1.3
% 4.88/1.07  % (235612)Termination reason: Instruction limit
% 4.88/1.07  % (235612)Termination phase: Saturation
% 4.88/1.07  % (235612)Time elapsed: 0.104 s
% 4.88/1.07  % (235612)Peak memory usage: 13 MB
% 4.88/1.07  % (235612)Instructions burned: 137 (million)
% 4.88/1.07  % (235622)Instruction limit reached! 
% 4.88/1.07  % (235622)------------------------------
% 4.88/1.07  % (235622)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.88/1.07  % (235622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.88/1.07  % (235622)CaDiCaL version: 2.1.3
% 4.88/1.07  % (235622)Termination reason: Instruction limit
% 4.88/1.07  % (235622)Termination phase: Saturation
% 4.88/1.07  % (235622)Time elapsed: 0.039 s
% 4.88/1.07  % (235622)Peak memory usage: 12 MB
% 4.88/1.07  % (235622)Instructions burned: 98 (million)
% 4.88/1.07  % (235618)Instruction limit reached! 
% 4.88/1.07  % (235618)------------------------------
% 4.88/1.07  % (235618)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.88/1.07  % (235618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.28/1.16  % (235618)CaDiCaL version: 2.1.3
% 5.28/1.16  % (235618)Termination reason: Instruction limit
% 5.28/1.16  % (235618)Termination phase: Saturation
% 5.28/1.16  % (235618)Time elapsed: 0.076 s
% 5.28/1.16  % (235618)Peak memory usage: 13 MB
% 5.28/1.16  % (235618)Instructions burned: 182 (million)
% 5.28/1.16  % (235623)Refutation not found, incomplete strategy
% 5.28/1.16  % (235623)------------------------------
% 5.28/1.16  % (235623)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.28/1.16  % (235623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.28/1.16  % (235623)CaDiCaL version: 2.1.3
% 5.28/1.16  % (235623)Termination reason: Refutation not found, incomplete strategy
% 5.28/1.16  % (235623)Time elapsed: 0.032 s
% 5.28/1.16  % (235623)Peak memory usage: 13 MB
% 5.28/1.16  % (235623)Instructions burned: 75 (million)
% 5.28/1.16  % (235623)------------------------------
% 5.28/1.16  % (235623)------------------------------
% 5.28/1.16  % (235627)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1123261005:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/874Mi)
% 5.28/1.16  % (235629)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=1807099115:st=1.5:i=130:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/130Mi)
% 5.28/1.16  % (235630)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=765674464:i=44:ep=R:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/44Mi)
% 5.28/1.16  % (235628)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=4129970743:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/515Mi)
% 5.28/1.16  % (235630)Instruction limit reached! 
% 5.28/1.16  % (235630)------------------------------
% 5.28/1.16  % (235630)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.28/1.16  % (235630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.28/1.16  % (235630)CaDiCaL version: 2.1.3
% 5.28/1.16  % (235630)Termination reason: Instruction limit
% 5.28/1.16  % (235630)Termination phase: Saturation
% 5.28/1.16  % (235630)Time elapsed: 0.018 s
% 5.28/1.16  % (235630)Peak memory usage: 11 MB
% 5.28/1.16  % (235630)Instructions burned: 44 (million)
% 5.28/1.16  % (235635)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=833763924:s2a=on:i=571:nm=16:rtra=on_2993 on theBenchmark for (2993ds/571Mi)
% 5.28/1.16  % (235629)Instruction limit reached! 
% 5.28/1.16  % (235629)------------------------------
% 5.28/1.16  % (235629)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.28/1.16  % (235629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.28/1.16  % (235629)CaDiCaL version: 2.1.3
% 5.28/1.16  % (235629)Termination reason: Instruction limit
% 5.28/1.16  % (235629)Termination phase: Saturation
% 5.28/1.16  % (235629)Time elapsed: 0.052 s
% 5.28/1.16  % (235629)Peak memory usage: 12 MB
% 5.28/1.16  % (235629)Instructions burned: 130 (million)
% 5.28/1.16  % (235621)Refutation not found, incomplete strategy
% 5.28/1.16  % (235621)------------------------------
% 5.28/1.16  % (235621)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.28/1.16  % (235621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.28/1.16  % (235621)CaDiCaL version: 2.1.3
% 5.28/1.16  % (235621)Termination reason: Refutation not found, incomplete strategy
% 5.28/1.16  % (235621)Time elapsed: 0.116 s
% 5.28/1.16  % (235621)Peak memory usage: 13 MB
% 5.28/1.16  % (235621)Instructions burned: 150 (million)
% 5.28/1.16  % (235621)------------------------------
% 5.28/1.16  % (235621)------------------------------
% 5.28/1.16  % (235635)Refutation not found, incomplete strategy
% 5.28/1.16  % (235635)------------------------------
% 5.28/1.16  % (235635)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.28/1.16  % (235635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.28/1.16  % (235635)CaDiCaL version: 2.1.3
% 5.28/1.16  % (235635)Termination reason: Refutation not found, incomplete strategy
% 5.28/1.16  % (235635)Time elapsed: 0.020 s
% 5.28/1.16  % (235635)Peak memory usage: 13 MB
% 5.28/1.16  % (235635)Instructions burned: 47 (million)
% 5.28/1.16  % (235627)Refutation not found, incomplete strategy
% 5.28/1.16  % (235627)------------------------------
% 5.28/1.16  % (235627)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.28/1.16  % (235627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.28/1.16  % (235627)CaDiCaL version: 2.1.3
% 5.35/1.27  % (235627)Termination reason: Refutation not found, incomplete strategy
% 5.35/1.27  % (235627)Time elapsed: 0.065 s
% 5.35/1.27  % (235627)Peak memory usage: 14 MB
% 5.35/1.27  % (235627)Instructions burned: 155 (million)
% 5.35/1.27  % (235635)------------------------------
% 5.35/1.27  % (235635)------------------------------
% 5.35/1.27  % (235627)------------------------------
% 5.35/1.27  % (235627)------------------------------
% 5.35/1.27  % (235637)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=67661601:i=450:rtra=on:ixr=off:ntd=on_2993 on theBenchmark for (2993ds/450Mi)
% 5.35/1.27  % (235639)lrs+1003_1_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:fd=off:rp=on:sac=on:random_seed=3294793136:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2993 on theBenchmark for (2993ds/65Mi)
% 5.35/1.27  % (235640)dis+1010_2:1_slsqr=2,1:to=lpo:plsq=on:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_arity:acc=on:uwa=hol:fd=preordered:s2agt=16:flr=on:pe=on:slsq=on:random_seed=1617505624:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=105:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2993 on theBenchmark for (2993ds/105Mi)
% 5.35/1.27  % (235638)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=3897703285:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/95Mi)
% 5.35/1.27  % (235628)Refutation not found, incomplete strategy
% 5.35/1.27  % (235628)------------------------------
% 5.35/1.27  % (235628)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.35/1.27  % (235628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.35/1.27  % (235628)CaDiCaL version: 2.1.3
% 5.35/1.27  % (235628)Termination reason: Refutation not found, incomplete strategy
% 5.35/1.27  % (235628)Time elapsed: 0.108 s
% 5.35/1.27  % (235628)Peak memory usage: 14 MB
% 5.35/1.27  % (235628)Instructions burned: 225 (million)
% 5.35/1.27  % (235628)------------------------------
% 5.35/1.27  % (235628)------------------------------
% 5.35/1.27  % (235639)Instruction limit reached! 
% 5.35/1.27  % (235639)------------------------------
% 5.35/1.27  % (235639)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.35/1.27  % (235639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.35/1.27  % (235639)CaDiCaL version: 2.1.3
% 5.35/1.27  % (235639)Termination reason: Instruction limit
% 5.35/1.27  % (235639)Termination phase: Saturation
% 5.35/1.27  % (235639)Time elapsed: 0.043 s
% 5.35/1.27  % (235639)Peak memory usage: 12 MB
% 5.35/1.27  % (235639)Instructions burned: 67 (million)
% 5.35/1.27  % (235640)Instruction limit reached! 
% 5.35/1.27  % (235640)------------------------------
% 5.35/1.27  % (235640)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.35/1.27  % (235640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.35/1.27  % (235640)CaDiCaL version: 2.1.3
% 5.35/1.27  % (235640)Termination reason: Instruction limit
% 5.35/1.27  % (235640)Termination phase: Saturation
% 5.35/1.27  % (235640)Time elapsed: 0.043 s
% 5.35/1.27  % (235640)Peak memory usage: 12 MB
% 5.35/1.27  % (235640)Instructions burned: 107 (million)
% 5.35/1.27  % (235569)Instruction limit reached! 
% 5.35/1.27  % (235569)------------------------------
% 5.35/1.27  % (235569)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.35/1.27  % (235569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.35/1.27  % (235569)CaDiCaL version: 2.1.3
% 5.35/1.27  % (235569)Termination reason: Instruction limit
% 5.35/1.27  % (235569)Termination phase: Saturation
% 5.35/1.27  % (235569)Time elapsed: 0.483 s
% 5.35/1.27  % (235569)Peak memory usage: 15 MB
% 5.35/1.27  % (235569)Instructions burned: 1240 (million)
% 5.35/1.27  % (235647)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3243198169:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2992 on theBenchmark for (2992ds/495Mi)
% 5.35/1.27  % (235648)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=2617466843:cond=on:i=34:hud=10:nm=10:rtra=on_2992 on theBenchmark for (2992ds/34Mi)
% 5.35/1.27  % (235645)dis+10_4:1_sfv=off:to=kbo:fde=unused:cnfonf=off:sas=cadical:e2e=on:si=on:sp=occurrence:acc=on:uwa=off:fd=preordered:foolp=on:random_seed=1307101681:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2992 on theBenchmark for (2992ds/5755Mi)
% 5.35/1.27  % (235646)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=388660551:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/375Mi)
% 6.03/1.39  % (235638)Instruction limit reached! 
% 6.03/1.39  % (235638)------------------------------
% 6.03/1.39  % (235638)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.03/1.39  % (235638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.03/1.39  % (235638)CaDiCaL version: 2.1.3
% 6.03/1.39  % (235638)Termination reason: Instruction limit
% 6.03/1.39  % (235638)Termination phase: Saturation
% 6.03/1.39  % (235638)Time elapsed: 0.071 s
% 6.03/1.39  % (235638)Peak memory usage: 12 MB
% 6.03/1.39  % (235638)Instructions burned: 95 (million)
% 6.03/1.39  % (235648)Instruction limit reached! 
% 6.03/1.39  % (235648)------------------------------
% 6.03/1.39  % (235648)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.03/1.39  % (235648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.03/1.39  % (235648)CaDiCaL version: 2.1.3
% 6.03/1.39  % (235648)Termination reason: Instruction limit
% 6.03/1.39  % (235648)Termination phase: Property scanning
% 6.03/1.39  % (235648)Time elapsed: 0.014 s
% 6.03/1.39  % (235648)Peak memory usage: 10 MB
% 6.03/1.39  % (235648)Instructions burned: 35 (million)
% 6.03/1.39  % (235653)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=3874583758:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2992 on theBenchmark for (2992ds/91Mi)
% 6.03/1.39  % (235654)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=1737008319:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2992 on theBenchmark for (2992ds/66Mi)
% 6.03/1.39  % (235595)Instruction limit reached! 
% 6.03/1.39  % (235595)------------------------------
% 6.03/1.39  % (235595)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.03/1.39  % (235595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.03/1.39  % (235595)CaDiCaL version: 2.1.3
% 6.03/1.39  % (235595)Termination reason: Instruction limit
% 6.03/1.39  % (235595)Termination phase: Saturation
% 6.03/1.39  % (235595)Time elapsed: 0.454 s
% 6.03/1.39  % (235595)Peak memory usage: 16 MB
% 6.03/1.39  % (235595)Instructions burned: 854 (million)
% 6.03/1.39  % (235654)Instruction limit reached! 
% 6.03/1.39  % (235654)------------------------------
% 6.03/1.39  % (235654)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.03/1.39  % (235654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.03/1.39  % (235654)CaDiCaL version: 2.1.3
% 6.03/1.39  % (235654)Termination reason: Instruction limit
% 6.03/1.39  % (235654)Termination phase: Saturation
% 6.03/1.39  % (235654)Time elapsed: 0.027 s
% 6.03/1.39  % (235654)Peak memory usage: 12 MB
% 6.03/1.39  % (235654)Instructions burned: 68 (million)
% 6.03/1.39  % (235653)Instruction limit reached! 
% 6.03/1.39  % (235653)------------------------------
% 6.03/1.39  % (235653)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.03/1.39  % (235653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.03/1.39  % (235653)CaDiCaL version: 2.1.3
% 6.03/1.39  % (235653)Termination reason: Instruction limit
% 6.03/1.39  % (235653)Termination phase: Saturation
% 6.03/1.39  % (235653)Time elapsed: 0.038 s
% 6.03/1.39  % (235653)Peak memory usage: 12 MB
% 6.03/1.39  % (235653)Instructions burned: 91 (million)
% 6.03/1.39  % (235657)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1633090228:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2991 on theBenchmark for (2991ds/22Mi)
% 6.03/1.39  % (235658)lrs+21_16_anc=none:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:sas=cadical:si=on:plsqr=32,1:uwa=interpreted_only:foolp=on:nwc=3:random_seed=1700921239:i=338:bd=all:ins=4:rtra=on_2991 on theBenchmark for (2991ds/338Mi)
% 6.03/1.39  % (235657)Instruction limit reached! 
% 6.03/1.39  % (235657)------------------------------
% 6.03/1.39  % (235657)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.03/1.39  % (235657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.03/1.39  % (235657)CaDiCaL version: 2.1.3
% 6.03/1.39  % (235657)Termination reason: Instruction limit
% 6.03/1.39  % (235657)Termination phase: Property scanning
% 6.03/1.39  % (235657)Time elapsed: 0.009 s
% 6.03/1.39  % (235657)Peak memory usage: 11 MB
% 6.03/1.39  % (235657)Instructions burned: 24 (million)
% 6.03/1.39  % (235637)Instruction limit reached! 
% 6.03/1.39  % (235637)------------------------------
% 6.53/1.56  % (235637)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.53/1.56  % (235637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.56  % (235637)CaDiCaL version: 2.1.3
% 6.53/1.56  % (235637)Termination reason: Instruction limit
% 6.53/1.56  % (235637)Termination phase: Saturation
% 6.53/1.56  % (235637)Time elapsed: 0.184 s
% 6.53/1.56  % (235637)Peak memory usage: 17 MB
% 6.53/1.56  % (235637)Instructions burned: 451 (million)
% 6.53/1.56  % (235659)lrs+10_1_sil=128000:si=on:urr=on:random_seed=3141041981:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2991 on theBenchmark for (2991ds/28Mi)
% 6.53/1.56  % (235663)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 6.53/1.56  % (235663)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=1907591601:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2991 on theBenchmark for (2991ds/137Mi)
% 6.53/1.56  % (235664)dis+10_32_sil=128000:tgt=ground:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=32,1:uwa=one_side_interpreted:nwc=1:random_seed=3251233875:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2991 on theBenchmark for (2991ds/340Mi)
% 6.53/1.56  % (235659)Instruction limit reached! 
% 6.53/1.56  % (235659)------------------------------
% 6.53/1.56  % (235659)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.53/1.56  % (235659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.56  % (235659)CaDiCaL version: 2.1.3
% 6.53/1.56  % (235659)Termination reason: Instruction limit
% 6.53/1.56  % (235659)Termination phase: Property scanning
% 6.53/1.56  % (235659)Time elapsed: 0.021 s
% 6.53/1.56  % (235659)Peak memory usage: 11 MB
% 6.53/1.56  % (235659)Instructions burned: 29 (million)
% 6.53/1.56  % (235646)Refutation not found, incomplete strategy
% 6.53/1.56  % (235646)------------------------------
% 6.53/1.56  % (235646)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.53/1.56  % (235646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.56  % (235646)CaDiCaL version: 2.1.3
% 6.53/1.56  % (235646)Termination reason: Refutation not found, incomplete strategy
% 6.53/1.56  % (235646)Time elapsed: 0.125 s
% 6.53/1.56  % (235646)Peak memory usage: 13 MB
% 6.53/1.56  % (235646)Instructions burned: 151 (million)
% 6.53/1.56  % (235646)------------------------------
% 6.53/1.56  % (235646)------------------------------
% 6.53/1.56  % (235668)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=3287428840:i=227:sd=1:bd=all:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/227Mi)
% 6.53/1.56  % (235663)Instruction limit reached! 
% 6.53/1.56  % (235663)------------------------------
% 6.53/1.56  % (235663)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.53/1.56  % (235663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.56  % (235663)CaDiCaL version: 2.1.3
% 6.53/1.56  % (235663)Termination reason: Instruction limit
% 6.53/1.56  % (235663)Termination phase: Saturation
% 6.53/1.56  % (235663)Time elapsed: 0.056 s
% 6.53/1.56  % (235663)Peak memory usage: 12 MB
% 6.53/1.56  % (235663)Instructions burned: 139 (million)
% 6.53/1.56  % (235669)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 6.53/1.56  % (235669)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=4078738927:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/373Mi)
% 6.53/1.56  % (235671)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=593815743:i=116:ep=RSTC:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/116Mi)
% 6.53/1.56  % (235647)Instruction limit reached! 
% 6.53/1.56  % (235647)------------------------------
% 6.53/1.56  % (235647)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.53/1.56  % (235647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.56  % (235647)CaDiCaL version: 2.1.3
% 6.53/1.56  % (235647)Termination reason: Instruction limit
% 6.53/1.56  % (235647)Termination phase: Saturation
% 6.53/1.56  % (235647)Time elapsed: 0.201 s
% 6.53/1.56  % (235647)Peak memory usage: 17 MB
% 6.53/1.56  % (235647)Instructions burned: 497 (million)
% 6.53/1.56  % (235668)Refutation not found, incomplete strategy
% 6.53/1.56  % (235668)------------------------------
% 6.53/1.56  % (235668)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.14/1.75  % (235668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.14/1.75  % (235668)CaDiCaL version: 2.1.3
% 7.14/1.75  % (235668)Termination reason: Refutation not found, incomplete strategy
% 7.14/1.75  % (235668)Time elapsed: 0.051 s
% 7.14/1.75  % (235668)Peak memory usage: 13 MB
% 7.14/1.75  % (235668)Instructions burned: 73 (million)
% 7.14/1.75  % (235668)------------------------------
% 7.14/1.75  % (235668)------------------------------
% 7.14/1.75  % (235674)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=344000487:i=575:rtra=on_2990 on theBenchmark for (2990ds/575Mi)
% 7.14/1.75  % (235671)Instruction limit reached! 
% 7.14/1.75  % (235671)------------------------------
% 7.14/1.75  % (235671)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.14/1.75  % (235671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.14/1.75  % (235671)CaDiCaL version: 2.1.3
% 7.14/1.75  % (235671)Termination reason: Instruction limit
% 7.14/1.75  % (235671)Termination phase: Saturation
% 7.14/1.75  % (235671)Time elapsed: 0.047 s
% 7.14/1.75  % (235671)Peak memory usage: 12 MB
% 7.14/1.75  % (235671)Instructions burned: 118 (million)
% 7.14/1.75  % (235675)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=3731745573:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2990 on theBenchmark for (2990ds/270Mi)
% 7.14/1.75  % (235658)Instruction limit reached! 
% 7.14/1.75  % (235658)------------------------------
% 7.14/1.75  % (235658)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.14/1.75  % (235658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.14/1.75  % (235658)CaDiCaL version: 2.1.3
% 7.14/1.75  % (235658)Termination reason: Instruction limit
% 7.14/1.75  % (235658)Termination phase: Saturation
% 7.14/1.75  % (235658)Time elapsed: 0.154 s
% 7.14/1.75  % (235658)Peak memory usage: 16 MB
% 7.14/1.75  % (235658)Instructions burned: 338 (million)
% 7.14/1.75  % (235677)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=3284415745:hsq=on:hsqr=16,1:s2a=on:i=9840:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2989 on theBenchmark for (2989ds/9840Mi)
% 7.14/1.75  % (235679)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=3298791313:i=421:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/421Mi)
% 7.14/1.75  % (235679)Refutation not found, incomplete strategy
% 7.14/1.75  % (235679)------------------------------
% 7.14/1.75  % (235679)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.14/1.75  % (235679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.14/1.75  % (235679)CaDiCaL version: 2.1.3
% 7.14/1.75  % (235679)Termination reason: Refutation not found, incomplete strategy
% 7.14/1.75  % (235679)Time elapsed: 0.054 s
% 7.14/1.75  % (235679)Peak memory usage: 13 MB
% 7.14/1.75  % (235679)Instructions burned: 132 (million)
% 7.14/1.75  % (235679)------------------------------
% 7.14/1.75  % (235679)------------------------------
% 7.14/1.75  % (235664)Instruction limit reached! 
% 7.14/1.75  % (235664)------------------------------
% 7.14/1.75  % (235664)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.14/1.75  % (235664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.14/1.75  % (235664)CaDiCaL version: 2.1.3
% 7.14/1.75  % (235664)Termination reason: Instruction limit
% 7.14/1.75  % (235664)Termination phase: Saturation
% 7.14/1.75  % (235664)Time elapsed: 0.194 s
% 7.14/1.75  % (235664)Peak memory usage: 14 MB
% 7.14/1.75  % (235664)Instructions burned: 340 (million)
% 7.14/1.75  % (235682)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 7.14/1.75  % (235682)lrs+10_40_sil=128000:tgt=full:cnfonf=off:si=on:sp=reverse_frequency:spb=goal_then_units:uwa=off:fd=preordered:nwc=1:random_seed=2647684379:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/270Mi)
% 7.14/1.75  % (235683)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2271408686:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/31Mi)
% 11.37/2.06  % (235683)Instruction limit reached! 
% 11.37/2.06  % (235683)------------------------------
% 11.37/2.06  % (235683)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.37/2.06  % (235683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.37/2.06  % (235683)CaDiCaL version: 2.1.3
% 11.37/2.06  % (235683)Termination reason: Instruction limit
% 11.37/2.06  % (235683)Termination phase: Property scanning
% 11.37/2.06  % (235683)Time elapsed: 0.013 s
% 11.37/2.06  % (235683)Peak memory usage: 10 MB
% 11.37/2.06  % (235683)Instructions burned: 32 (million)
% 11.37/2.06  % (235675)Instruction limit reached! 
% 11.37/2.06  % (235675)------------------------------
% 11.37/2.06  % (235675)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.37/2.06  % (235675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.37/2.06  % (235675)CaDiCaL version: 2.1.3
% 11.37/2.06  % (235675)Termination reason: Instruction limit
% 11.37/2.06  % (235675)Termination phase: Saturation
% 11.37/2.06  % (235675)Time elapsed: 0.121 s
% 11.37/2.06  % (235675)Peak memory usage: 13 MB
% 11.37/2.06  % (235675)Instructions burned: 270 (million)
% 11.37/2.06  % (235686)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 11.37/2.06  % (235686)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 11.37/2.06  % (235686)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=935881273:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2988 on theBenchmark for (2988ds/1440Mi)
% 11.37/2.06  % (235687)dis+10_2_sil=128000:si=on:random_seed=284655733:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2988 on theBenchmark for (2988ds/339Mi)
% 11.37/2.06  % (235682)Refutation not found, incomplete strategy
% 11.37/2.06  % (235682)------------------------------
% 11.37/2.06  % (235682)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.37/2.06  % (235682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.37/2.06  % (235682)CaDiCaL version: 2.1.3
% 11.37/2.06  % (235682)Termination reason: Refutation not found, incomplete strategy
% 11.37/2.06  % (235682)Time elapsed: 0.060 s
% 11.37/2.06  % (235682)Peak memory usage: 13 MB
% 11.37/2.06  % (235682)Instructions burned: 143 (million)
% 11.37/2.06  % (235682)------------------------------
% 11.37/2.06  % (235682)------------------------------
% 11.37/2.06  % (235690)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=3399466104:i=111:add=on:fgj=on:rtra=on:fdi=1024_2988 on theBenchmark for (2988ds/111Mi)
% 11.37/2.06  % (235690)Instruction limit reached! 
% 11.37/2.06  % (235690)------------------------------
% 11.37/2.06  % (235690)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.37/2.06  % (235690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.37/2.06  % (235690)CaDiCaL version: 2.1.3
% 11.37/2.06  % (235690)Termination reason: Instruction limit
% 11.37/2.06  % (235690)Termination phase: Saturation
% 11.37/2.06  % (235690)Time elapsed: 0.046 s
% 11.37/2.06  % (235690)Peak memory usage: 12 MB
% 11.37/2.06  % (235690)Instructions burned: 111 (million)
% 11.37/2.06  % (235669)Instruction limit reached! 
% 11.37/2.06  % (235669)------------------------------
% 11.37/2.06  % (235669)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.37/2.06  % (235669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.37/2.06  % (235669)CaDiCaL version: 2.1.3
% 11.37/2.06  % (235669)Termination reason: Instruction limit
% 11.37/2.06  % (235669)Termination phase: Saturation
% 11.37/2.06  % (235669)Time elapsed: 0.292 s
% 11.37/2.06  % (235669)Peak memory usage: 13 MB
% 11.37/2.06  % (235669)Instructions burned: 373 (million)
% 11.37/2.06  % (235692)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=3738760578:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2987 on theBenchmark for (2987ds/122Mi)
% 11.37/2.06  % (235693)dis+1010_3:2_anc=all_dependent:sil=128000:si=on:sos=on:lma=off:spb=goal_then_units:bce=on:fd=off:random_seed=1384677477:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/136Mi)
% 11.37/2.06  % (235687)Instruction limit reached! 
% 11.37/2.06  % (235687)------------------------------
% 11.37/2.06  % (235687)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.37/2.06  % (235687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.37/2.06  % (235687)CaDiCaL version: 2.1.3
% 11.37/2.06  % (235687)Termination reason: Instruction limit
% 11.37/2.06  % (235687)Termination phase: Saturation
% 11.37/2.06  % (235687)Time elapsed: 0.133 s
% 11.37/2.06  % (235687)Peak memory usage: 13 MB
% 11.37/2.06  % (235687)Instructions burned: 339 (million)
% 11.37/2.06  % (235696)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=605711345:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2987 on theBenchmark for (2987ds/232Mi)
% 11.37/2.06  % (235692)Instruction limit reached! 
% 11.37/2.06  % (235692)------------------------------
% 11.37/2.06  % (235692)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.37/2.06  % (235692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.37/2.06  % (235692)CaDiCaL version: 2.1.3
% 11.37/2.06  % (235692)Termination reason: Instruction limit
% 11.37/2.06  % (235692)Termination phase: Saturation
% 11.37/2.06  % (235692)Time elapsed: 0.050 s
% 11.37/2.06  % (235692)Peak memory usage: 12 MB
% 11.37/2.06  % (235692)Instructions burned: 124 (million)
% 11.37/2.06  % (235693)Instruction limit reached! 
% 11.37/2.06  % (235693)------------------------------
% 11.37/2.06  % (235693)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.37/2.06  % (235693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.37/2.06  % (235693)CaDiCaL version: 2.1.3
% 11.37/2.06  % (235693)Termination reason: Instruction limit
% 11.37/2.06  % (235693)Termination phase: Saturation
% 11.37/2.06  % (235693)Time elapsed: 0.055 s
% 11.37/2.06  % (235693)Peak memory usage: 12 MB
% 11.37/2.06  % (235693)Instructions burned: 137 (million)
% 11.37/2.06  % (235698)lrs+1010_8:1_sil=128000:tgt=ground:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sos=on:plsqr=256,1:uwa=off:random_seed=2442086894:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2987 on theBenchmark for (2987ds/1254Mi)
% 11.37/2.06  % (235696)Refutation not found, incomplete strategy
% 11.37/2.06  % (235696)------------------------------
% 11.37/2.06  % (235696)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.37/2.06  % (235696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.37/2.06  % (235696)CaDiCaL version: 2.1.3
% 11.37/2.06  % (235696)Termination reason: Refutation not found, incomplete strategy
% 11.37/2.06  % (235696)Time elapsed: 0.022 s
% 11.37/2.06  % (235696)Peak memory usage: 13 MB
% 11.37/2.06  % (235696)Instructions burned: 46 (million)
% 11.37/2.06  % (235696)------------------------------
% 11.37/2.06  % (235696)------------------------------
% 11.37/2.06  % (235699)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 11.37/2.06  % (235699)dis+1002_5:4_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_simp:si=on:plsqr=878,253:plsql=on:uwa=interpreted_only:lwlo=on:random_seed=3135369359:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2986 on theBenchmark for (2986ds/281Mi)
% 11.37/2.06  % (235701)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1555998086:i=619:add=on:rtra=on_2986 on theBenchmark for (2986ds/619Mi)
% 11.37/2.06  % (235674)Instruction limit reached! 
% 11.37/2.06  % (235674)------------------------------
% 11.37/2.06  % (235674)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.37/2.06  % (235674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.37/2.06  % (235674)CaDiCaL version: 2.1.3
% 11.37/2.06  % (235674)Termination reason: Instruction limit
% 11.37/2.06  % (235674)Termination phase: Saturation
% 11.37/2.06  % (235674)Time elapsed: 0.427 s
% 11.37/2.06  % (235674)Peak memory usage: 17 MB
% 11.37/2.06  % (235674)Instructions burned: 576 (million)
% 11.37/2.06  % (235699)Instruction limit reached! 
% 11.37/2.06  % (235699)------------------------------
% 11.37/2.06  % (235699)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.37/2.06  % (235699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.37/2.06  % (235699)CaDiCaL version: 2.1.3
% 11.37/2.06  % (235699)Termination reason: Instruction limit
% 11.37/2.06  % (235699)Termination phase: Saturation
% 11.37/2.06  % (235699)Time elapsed: 0.110 s
% 11.37/2.06  % (235699)Peak memory usage: 13 MB
% 11.37/2.06  % (235699)Instructions burned: 283 (million)
% 11.37/2.06  % (235705)lrs+10_1_sil=128000:si=on:urr=on:random_seed=4212554213:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2985 on theBenchmark for (2985ds/212Mi)
% 11.37/2.06  % (235704)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=1119375889:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/865Mi)
% 11.37/2.06  % (235705)Instruction limit reached! 
% 11.37/2.06  % (235705)------------------------------
% 11.37/2.06  % (235705)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.37/2.06  % (235705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.37/2.06  % (235705)CaDiCaL version: 2.1.3
% 11.37/2.06  % (235705)Termination reason: Instruction limit
% 11.37/2.06  % (235705)Termination phase: Saturation
% 11.37/2.06  % (235705)Time elapsed: 0.085 s
% 11.37/2.06  % (235705)Peak memory usage: 13 MB
% 11.37/2.06  % (235705)Instructions burned: 214 (million)
% 11.37/2.06  % (235708)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=3992250224:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2984 on theBenchmark for (2984ds/130Mi)
% 11.37/2.06  % (235708)Refutation not found, incomplete strategy
% 11.37/2.06  % (235708)------------------------------
% 11.37/2.06  % (235708)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.37/2.06  % (235708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.37/2.06  % (235708)CaDiCaL version: 2.1.3
% 11.37/2.06  % (235708)Termination reason: Refutation not found, incomplete strategy
% 11.37/2.06  % (235708)Time elapsed: 0.033 s
% 11.37/2.06  % (235708)Peak memory usage: 13 MB
% 11.37/2.06  % (235708)Instructions burned: 76 (million)
% 11.37/2.06  % (235708)------------------------------
% 11.37/2.06  % (235708)------------------------------
% 11.37/2.06  % (235701) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-235506-235701"...
% 11.37/2.06  % (235710)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=1245125783:st=1.5:i=346:rtra=on:ss=axioms_2983 on theBenchmark for (2983ds/346Mi)
% 11.37/2.06  % (235710)Refutation not found, incomplete strategy
% 11.37/2.06  % (235710)------------------------------
% 11.37/2.06  % (235710)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.37/2.06  % (235710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.37/2.06  % (235710)CaDiCaL version: 2.1.3
% 11.37/2.06  % (235710)Termination reason: Refutation not found, incomplete strategy
% 11.37/2.06  % (235710)Time elapsed: 0.062 s
% 11.37/2.06  % (235710)Peak memory usage: 13 MB
% 11.37/2.06  % (235710)Instructions burned: 149 (million)
% 11.37/2.06  % (235710)------------------------------
% 11.37/2.06  % (235710)------------------------------
% 11.37/2.06  % (235712)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=1852860837:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2983 on theBenchmark for (2983ds/152Mi)
% 11.37/2.06  % (235686)Instruction limit reached! 
% 11.37/2.06  % (235686)------------------------------
% 11.37/2.06  % (235686)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.37/2.06  % (235686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.37/2.06  % (235686)CaDiCaL version: 2.1.3
% 11.37/2.06  % (235686)Termination reason: Instruction limit
% 11.37/2.06  % (235686)Termination phase: Saturation
% 11.37/2.06  % (235686)Time elapsed: 0.599 s
% 11.37/2.06  % (235686)Peak memory usage: 21 MB
% 11.37/2.06  % (235686)Instructions burned: 1441 (million)
% 11.37/2.06  % (235714)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2020767976:i=75:ep=R:rtra=on:ntd=on_2982 on theBenchmark for (2982ds/75Mi)
% 11.37/2.06  % (235701)...printing done.
% 11.37/2.06  % (235701)Refutation found. Thanks to Tanya!
% 11.37/2.06  % SZS status Theorem for theBenchmark
% 11.37/2.06  % SZS output start Proof for theBenchmark
% See solution above
% 11.37/2.07  % (235701)------------------------------
% 11.37/2.07  % (235701)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.37/2.07  % (235701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.37/2.07  % (235701)CaDiCaL version: 2.1.3
% 11.37/2.07  % (235701)Termination reason: Refutation
% 11.37/2.07  % (235701)Time elapsed: 0.424 s
% 11.37/2.07  % (235701)Peak memory usage: 15 MB
% 11.37/2.07  % (235701)Instructions burned: 655 (million)
% 11.37/2.07  % (235506)Success in time 1.776 s
% 11.37/2.07  % Vampire exiting
%------------------------------------------------------------------------------