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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : NLP004^8 : TPTP v9.3.1. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n012.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 08:16:29 AM UTC 2026

% Result   : Theorem 5.59s 1.14s
% Output   : Refutation 5.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :  102
%            Number of leaves      :   18
% Syntax   : Number of formulae    :  587 (  33 unt;   0 typ;  12 def)
%            Number of atoms       : 25157 (3822 equ;   0 cnn)
%            Maximal formula atoms :  292 (  42 avg)
%            Number of connectives : 41959 ( 779   ~;4005   |;7307   &;28970   @)
%                                         (  12 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   60 (  10 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   : 2855 (   0 sgn1200   !;   2   ?;2855   :)

% 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,
    db1: 
      !>[X0: $tType] : X0 ).

thf(func_def_36,type,
    db0: 
      !>[X0: $tType] : X0 ).

thf(func_def_37,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

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

thf(func_def_41,type,
    vIFF: $o > $o > $o ).

thf(func_def_42,type,
    db2: 
      !>[X0: $tType] : X0 ).

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

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

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

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

thf(func_def_47,type,
    vOR: $o > $o > $o ).

thf(func_def_48,type,
    db9: 
      !>[X0: $tType] : X0 ).

thf(func_def_49,type,
    db8: 
      !>[X0: $tType] : X0 ).

thf(func_def_50,type,
    db7: 
      !>[X0: $tType] : X0 ).

thf(func_def_51,type,
    db6: 
      !>[X0: $tType] : X0 ).

thf(func_def_52,type,
    db5: 
      !>[X0: $tType] : X0 ).

thf(func_def_53,type,
    db4: 
      !>[X0: $tType] : X0 ).

thf(func_def_54,type,
    db3: 
      !>[X0: $tType] : X0 ).

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/sandbox/benchmark/theBenchmark.p',mlocal_def) ).

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

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

thf(f5,axiom,
    ( ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
          ( ( X0 @ X2 )
         => ( X1 @ X2 ) ) )
    = mimplies ),
    file('/export/starexec/sandbox/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/sandbox/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/sandbox/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(f53,plain,
    ( ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
          ( ( X0 @ X2 )
          & ( X1 @ X2 ) ) )
    = mand ),
    inference(rectify,[],[f3]) ).

thf(f54,plain,
    ( mand
    = ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
          ( ( Y1 @ Y2 )
          & ( Y0 @ Y2 ) ) ) ),
    inference(fool_elimination,[],[f53]) ).

thf(f61,plain,
    ( mlocal
    = ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
    inference(fool_elimination,[],[f1]) ).

thf(f84,plain,
    ( ( ^ [X0: $i > mworld > $o,X1: mworld] :
        ? [X2: $i] :
          ( ( X0 @ X2 @ X1 )
          & ( eiw_di @ X2 @ X1 ) ) )
    = mexists_di ),
    inference(rectify,[],[f12]) ).

thf(f85,plain,
    ( mexists_di
    = ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
          ( ?? @ $i
          @ ^ [Y2: $i] :
              ( ( eiw_di @ Y2 @ Y1 )
              & ( Y0 @ Y2 @ Y1 ) ) ) ) ),
    inference(fool_elimination,[],[f84]) ).

thf(f90,plain,
    ( ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
          ( ( X0 @ X2 )
         => ( X1 @ X2 ) ) )
    = mimplies ),
    inference(rectify,[],[f5]) ).

thf(f91,plain,
    ( mimplies
    = ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
          ( ( Y0 @ Y2 )
         => ( Y1 @ Y2 ) ) ) ),
    inference(fool_elimination,[],[f90]) ).

thf(f112,plain,
    ( mnot
    = ( ^ [X0: mworld > $o,X1: mworld] :
          ~ ( X0 @ X1 ) ) ),
    inference(rectify,[],[f2]) ).

thf(f113,plain,
    ( mnot
    = ( ^ [Y0: mworld > $o,Y1: mworld] :
          ~ ( Y0 @ Y1 ) ) ),
    inference(fool_elimination,[],[f112]) ).

thf(f116,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(f117,plain,
    ( ( ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    = $true ),
    inference(fool_elimination,[],[f116]) ).

thf(f118,plain,
    ( mnot
    = ( ^ [Y0: mworld > $o,Y1: mworld] :
          ~ ( Y0 @ Y1 ) ) ),
    inference(cnf_transformation,[],[f113]) ).

thf(f122,plain,
    ( ( ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    = $true ),
    inference(cnf_transformation,[],[f117]) ).

thf(f123,plain,
    ( mlocal
    = ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
    inference(cnf_transformation,[],[f61]) ).

thf(f125,plain,
    ( mimplies
    = ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
          ( ( Y0 @ Y2 )
         => ( Y1 @ Y2 ) ) ) ),
    inference(cnf_transformation,[],[f91]) ).

thf(f145,plain,
    ( mexists_di
    = ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
          ( ?? @ $i
          @ ^ [Y2: $i] :
              ( ( eiw_di @ Y2 @ Y1 )
              & ( Y0 @ Y2 @ Y1 ) ) ) ) ),
    inference(cnf_transformation,[],[f85]) ).

thf(f146,plain,
    ( mand
    = ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
          ( ( Y1 @ Y2 )
          & ( Y0 @ Y2 ) ) ) ),
    inference(cnf_transformation,[],[f54]) ).

thf(f161,plain,
    ( ( ~ ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
          @ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
                ( ( Y1 @ Y2 )
                & ( Y0 @ 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] :
                                                            ( ( Y11 @ Y12 )
                                                            & ( Y10 @ Y12 ) )
                                                        @ ( seat @ Y0 )
                                                        @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                              ( ( Y11 @ Y12 )
                                                              & ( Y10 @ Y12 ) )
                                                          @ ( furniture @ Y0 )
                                                          @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                ( ( Y11 @ Y12 )
                                                                & ( Y10 @ Y12 ) )
                                                            @ ( front @ Y0 )
                                                            @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                  ( ( Y11 @ Y12 )
                                                                  & ( Y10 @ Y12 ) )
                                                              @ ( seat @ Y1 )
                                                              @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                    ( ( Y11 @ Y12 )
                                                                    & ( Y10 @ Y12 ) )
                                                                @ ( furniture @ Y1 )
                                                                @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                      ( ( Y11 @ Y12 )
                                                                      & ( Y10 @ Y12 ) )
                                                                  @ ( front @ Y1 )
                                                                  @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                        ( ( Y11 @ Y12 )
                                                                        & ( Y10 @ Y12 ) )
                                                                    @ ( hollywood @ Y2 )
                                                                    @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                          ( ( Y11 @ Y12 )
                                                                          & ( Y10 @ Y12 ) )
                                                                      @ ( city @ Y2 )
                                                                      @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                            ( ( Y11 @ Y12 )
                                                                            & ( Y10 @ Y12 ) )
                                                                        @ ( event @ Y3 )
                                                                        @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                              ( ( Y11 @ Y12 )
                                                                              & ( Y10 @ Y12 ) )
                                                                          @ ( street @ Y4 )
                                                                          @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                ( ( Y11 @ Y12 )
                                                                                & ( Y10 @ Y12 ) )
                                                                            @ ( way @ Y4 )
                                                                            @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                  ( ( Y11 @ Y12 )
                                                                                  & ( Y10 @ Y12 ) )
                                                                              @ ( lonely @ Y4 )
                                                                              @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                    ( ( Y11 @ Y12 )
                                                                                    & ( Y10 @ Y12 ) )
                                                                                @ ( chevy @ Y5 )
                                                                                @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                      ( ( Y11 @ Y12 )
                                                                                      & ( Y10 @ Y12 ) )
                                                                                  @ ( car @ Y5 )
                                                                                  @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                        ( ( Y11 @ Y12 )
                                                                                        & ( Y10 @ Y12 ) )
                                                                                    @ ( white @ Y5 )
                                                                                    @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                          ( ( Y11 @ Y12 )
                                                                                          & ( Y10 @ Y12 ) )
                                                                                      @ ( dirty @ Y5 )
                                                                                      @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                            ( ( Y11 @ Y12 )
                                                                                            & ( Y10 @ Y12 ) )
                                                                                        @ ( old @ Y5 )
                                                                                        @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                              ( ( Y11 @ Y12 )
                                                                                              & ( Y10 @ Y12 ) )
                                                                                          @ ( barrel @ Y3 @ Y5 )
                                                                                          @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                ( ( Y11 @ Y12 )
                                                                                                & ( Y10 @ Y12 ) )
                                                                                            @ ( down @ Y3 @ Y4 )
                                                                                            @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                  ( ( Y11 @ Y12 )
                                                                                                  & ( Y10 @ Y12 ) )
                                                                                              @ ( in @ Y3 @ Y2 )
                                                                                              @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                    ( ( Y11 @ Y12 )
                                                                                                    & ( Y10 @ Y12 ) )
                                                                                                @ ( ^ [Y10: mworld > $o,Y11: mworld] :
                                                                                                      ~ ( Y10 @ Y11 )
                                                                                                  @ ( qmltpeq @ Y6 @ Y7 ) )
                                                                                                @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                      ( ( Y11 @ Y12 )
                                                                                                      & ( Y10 @ Y12 ) )
                                                                                                  @ ( fellow @ Y6 )
                                                                                                  @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                        ( ( Y11 @ Y12 )
                                                                                                        & ( Y10 @ Y12 ) )
                                                                                                    @ ( man @ Y6 )
                                                                                                    @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                          ( ( Y11 @ Y12 )
                                                                                                          & ( Y10 @ Y12 ) )
                                                                                                      @ ( young @ Y6 )
                                                                                                      @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                            ( ( Y11 @ Y12 )
                                                                                                            & ( Y10 @ Y12 ) )
                                                                                                        @ ( fellow @ Y7 )
                                                                                                        @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                              ( ( Y11 @ Y12 )
                                                                                                              & ( Y10 @ Y12 ) )
                                                                                                          @ ( man @ Y7 )
                                                                                                          @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                                ( ( Y11 @ Y12 )
                                                                                                                & ( Y10 @ Y12 ) )
                                                                                                            @ ( young @ Y7 )
                                                                                                            @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                                  ( ( Y11 @ Y12 )
                                                                                                                  & ( Y10 @ Y12 ) )
                                                                                                              @ ( qmltpeq @ Y6 @ Y8 )
                                                                                                              @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                                    ( ( Y11 @ Y12 )
                                                                                                                    & ( Y10 @ Y12 ) )
                                                                                                                @ ( in @ Y8 @ Y0 )
                                                                                                                @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                                      ( ( Y11 @ Y12 )
                                                                                                                      & ( Y10 @ 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] :
                                                            ( ( Y11 @ Y12 )
                                                            & ( Y10 @ Y12 ) )
                                                        @ ( seat @ Y0 )
                                                        @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                              ( ( Y11 @ Y12 )
                                                              & ( Y10 @ Y12 ) )
                                                          @ ( furniture @ Y0 )
                                                          @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                ( ( Y11 @ Y12 )
                                                                & ( Y10 @ Y12 ) )
                                                            @ ( front @ Y0 )
                                                            @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                  ( ( Y11 @ Y12 )
                                                                  & ( Y10 @ Y12 ) )
                                                              @ ( seat @ Y1 )
                                                              @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                    ( ( Y11 @ Y12 )
                                                                    & ( Y10 @ Y12 ) )
                                                                @ ( furniture @ Y1 )
                                                                @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                      ( ( Y11 @ Y12 )
                                                                      & ( Y10 @ Y12 ) )
                                                                  @ ( front @ Y1 )
                                                                  @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                        ( ( Y11 @ Y12 )
                                                                        & ( Y10 @ Y12 ) )
                                                                    @ ( hollywood @ Y2 )
                                                                    @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                          ( ( Y11 @ Y12 )
                                                                          & ( Y10 @ Y12 ) )
                                                                      @ ( city @ Y2 )
                                                                      @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                            ( ( Y11 @ Y12 )
                                                                            & ( Y10 @ Y12 ) )
                                                                        @ ( event @ Y3 )
                                                                        @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                              ( ( Y11 @ Y12 )
                                                                              & ( Y10 @ Y12 ) )
                                                                          @ ( chevy @ Y4 )
                                                                          @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                ( ( Y11 @ Y12 )
                                                                                & ( Y10 @ Y12 ) )
                                                                            @ ( car @ Y4 )
                                                                            @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                  ( ( Y11 @ Y12 )
                                                                                  & ( Y10 @ Y12 ) )
                                                                              @ ( white @ Y4 )
                                                                              @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                    ( ( Y11 @ Y12 )
                                                                                    & ( Y10 @ Y12 ) )
                                                                                @ ( dirty @ Y4 )
                                                                                @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                      ( ( Y11 @ Y12 )
                                                                                      & ( Y10 @ Y12 ) )
                                                                                  @ ( old @ Y4 )
                                                                                  @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                        ( ( Y11 @ Y12 )
                                                                                        & ( Y10 @ Y12 ) )
                                                                                    @ ( street @ Y5 )
                                                                                    @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                          ( ( Y11 @ Y12 )
                                                                                          & ( Y10 @ Y12 ) )
                                                                                      @ ( way @ Y5 )
                                                                                      @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                            ( ( Y11 @ Y12 )
                                                                                            & ( Y10 @ Y12 ) )
                                                                                        @ ( lonely @ Y5 )
                                                                                        @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                              ( ( Y11 @ Y12 )
                                                                                              & ( Y10 @ Y12 ) )
                                                                                          @ ( barrel @ Y3 @ Y4 )
                                                                                          @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                ( ( Y11 @ Y12 )
                                                                                                & ( Y10 @ Y12 ) )
                                                                                            @ ( down @ Y3 @ Y5 )
                                                                                            @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                  ( ( Y11 @ Y12 )
                                                                                                  & ( Y10 @ Y12 ) )
                                                                                              @ ( in @ Y3 @ Y2 )
                                                                                              @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                    ( ( Y11 @ Y12 )
                                                                                                    & ( Y10 @ Y12 ) )
                                                                                                @ ( ^ [Y10: mworld > $o,Y11: mworld] :
                                                                                                      ~ ( Y10 @ Y11 )
                                                                                                  @ ( qmltpeq @ Y6 @ Y7 ) )
                                                                                                @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                      ( ( Y11 @ Y12 )
                                                                                                      & ( Y10 @ Y12 ) )
                                                                                                  @ ( fellow @ Y6 )
                                                                                                  @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                        ( ( Y11 @ Y12 )
                                                                                                        & ( Y10 @ Y12 ) )
                                                                                                    @ ( man @ Y6 )
                                                                                                    @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                          ( ( Y11 @ Y12 )
                                                                                                          & ( Y10 @ Y12 ) )
                                                                                                      @ ( young @ Y6 )
                                                                                                      @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                            ( ( Y11 @ Y12 )
                                                                                                            & ( Y10 @ Y12 ) )
                                                                                                        @ ( fellow @ Y7 )
                                                                                                        @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                              ( ( Y11 @ Y12 )
                                                                                                              & ( Y10 @ Y12 ) )
                                                                                                          @ ( man @ Y7 )
                                                                                                          @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                                ( ( Y11 @ Y12 )
                                                                                                                & ( Y10 @ Y12 ) )
                                                                                                            @ ( young @ Y7 )
                                                                                                            @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                                  ( ( Y11 @ Y12 )
                                                                                                                  & ( Y10 @ Y12 ) )
                                                                                                              @ ( qmltpeq @ Y6 @ Y8 )
                                                                                                              @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                                    ( ( Y11 @ Y12 )
                                                                                                                    & ( Y10 @ Y12 ) )
                                                                                                                @ ( in @ Y8 @ Y0 )
                                                                                                                @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                                      ( ( Y11 @ Y12 )
                                                                                                                      & ( Y10 @ 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] :
                                                            ( ( Y11 @ Y12 )
                                                            & ( Y10 @ Y12 ) )
                                                        @ ( seat @ Y0 )
                                                        @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                              ( ( Y11 @ Y12 )
                                                              & ( Y10 @ Y12 ) )
                                                          @ ( furniture @ Y0 )
                                                          @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                ( ( Y11 @ Y12 )
                                                                & ( Y10 @ Y12 ) )
                                                            @ ( front @ Y0 )
                                                            @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                  ( ( Y11 @ Y12 )
                                                                  & ( Y10 @ Y12 ) )
                                                              @ ( seat @ Y1 )
                                                              @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                    ( ( Y11 @ Y12 )
                                                                    & ( Y10 @ Y12 ) )
                                                                @ ( furniture @ Y1 )
                                                                @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                      ( ( Y11 @ Y12 )
                                                                      & ( Y10 @ Y12 ) )
                                                                  @ ( front @ Y1 )
                                                                  @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                        ( ( Y11 @ Y12 )
                                                                        & ( Y10 @ Y12 ) )
                                                                    @ ( hollywood @ Y2 )
                                                                    @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                          ( ( Y11 @ Y12 )
                                                                          & ( Y10 @ Y12 ) )
                                                                      @ ( city @ Y2 )
                                                                      @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                            ( ( Y11 @ Y12 )
                                                                            & ( Y10 @ Y12 ) )
                                                                        @ ( event @ Y3 )
                                                                        @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                              ( ( Y11 @ Y12 )
                                                                              & ( Y10 @ Y12 ) )
                                                                          @ ( chevy @ Y4 )
                                                                          @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                ( ( Y11 @ Y12 )
                                                                                & ( Y10 @ Y12 ) )
                                                                            @ ( car @ Y4 )
                                                                            @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                  ( ( Y11 @ Y12 )
                                                                                  & ( Y10 @ Y12 ) )
                                                                              @ ( white @ Y4 )
                                                                              @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                    ( ( Y11 @ Y12 )
                                                                                    & ( Y10 @ Y12 ) )
                                                                                @ ( dirty @ Y4 )
                                                                                @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                      ( ( Y11 @ Y12 )
                                                                                      & ( Y10 @ Y12 ) )
                                                                                  @ ( old @ Y4 )
                                                                                  @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                        ( ( Y11 @ Y12 )
                                                                                        & ( Y10 @ Y12 ) )
                                                                                    @ ( street @ Y5 )
                                                                                    @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                          ( ( Y11 @ Y12 )
                                                                                          & ( Y10 @ Y12 ) )
                                                                                      @ ( way @ Y5 )
                                                                                      @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                            ( ( Y11 @ Y12 )
                                                                                            & ( Y10 @ Y12 ) )
                                                                                        @ ( lonely @ Y5 )
                                                                                        @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                              ( ( Y11 @ Y12 )
                                                                                              & ( Y10 @ Y12 ) )
                                                                                          @ ( barrel @ Y3 @ Y4 )
                                                                                          @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                ( ( Y11 @ Y12 )
                                                                                                & ( Y10 @ Y12 ) )
                                                                                            @ ( down @ Y3 @ Y5 )
                                                                                            @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                  ( ( Y11 @ Y12 )
                                                                                                  & ( Y10 @ Y12 ) )
                                                                                              @ ( in @ Y3 @ Y2 )
                                                                                              @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                    ( ( Y11 @ Y12 )
                                                                                                    & ( Y10 @ Y12 ) )
                                                                                                @ ( ^ [Y10: mworld > $o,Y11: mworld] :
                                                                                                      ~ ( Y10 @ Y11 )
                                                                                                  @ ( qmltpeq @ Y6 @ Y7 ) )
                                                                                                @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                      ( ( Y11 @ Y12 )
                                                                                                      & ( Y10 @ Y12 ) )
                                                                                                  @ ( fellow @ Y6 )
                                                                                                  @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                        ( ( Y11 @ Y12 )
                                                                                                        & ( Y10 @ Y12 ) )
                                                                                                    @ ( man @ Y6 )
                                                                                                    @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                          ( ( Y11 @ Y12 )
                                                                                                          & ( Y10 @ Y12 ) )
                                                                                                      @ ( young @ Y6 )
                                                                                                      @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                            ( ( Y11 @ Y12 )
                                                                                                            & ( Y10 @ Y12 ) )
                                                                                                        @ ( fellow @ Y7 )
                                                                                                        @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                              ( ( Y11 @ Y12 )
                                                                                                              & ( Y10 @ Y12 ) )
                                                                                                          @ ( man @ Y7 )
                                                                                                          @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                                ( ( Y11 @ Y12 )
                                                                                                                & ( Y10 @ Y12 ) )
                                                                                                            @ ( young @ Y7 )
                                                                                                            @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                                  ( ( Y11 @ Y12 )
                                                                                                                  & ( Y10 @ Y12 ) )
                                                                                                              @ ( qmltpeq @ Y6 @ Y8 )
                                                                                                              @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                                    ( ( Y11 @ Y12 )
                                                                                                                    & ( Y10 @ Y12 ) )
                                                                                                                @ ( in @ Y8 @ Y0 )
                                                                                                                @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                                      ( ( Y11 @ Y12 )
                                                                                                                      & ( Y10 @ 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] :
                                                            ( ( Y11 @ Y12 )
                                                            & ( Y10 @ Y12 ) )
                                                        @ ( seat @ Y0 )
                                                        @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                              ( ( Y11 @ Y12 )
                                                              & ( Y10 @ Y12 ) )
                                                          @ ( furniture @ Y0 )
                                                          @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                ( ( Y11 @ Y12 )
                                                                & ( Y10 @ Y12 ) )
                                                            @ ( front @ Y0 )
                                                            @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                  ( ( Y11 @ Y12 )
                                                                  & ( Y10 @ Y12 ) )
                                                              @ ( seat @ Y1 )
                                                              @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                    ( ( Y11 @ Y12 )
                                                                    & ( Y10 @ Y12 ) )
                                                                @ ( furniture @ Y1 )
                                                                @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                      ( ( Y11 @ Y12 )
                                                                      & ( Y10 @ Y12 ) )
                                                                  @ ( front @ Y1 )
                                                                  @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                        ( ( Y11 @ Y12 )
                                                                        & ( Y10 @ Y12 ) )
                                                                    @ ( hollywood @ Y2 )
                                                                    @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                          ( ( Y11 @ Y12 )
                                                                          & ( Y10 @ Y12 ) )
                                                                      @ ( city @ Y2 )
                                                                      @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                            ( ( Y11 @ Y12 )
                                                                            & ( Y10 @ Y12 ) )
                                                                        @ ( event @ Y3 )
                                                                        @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                              ( ( Y11 @ Y12 )
                                                                              & ( Y10 @ Y12 ) )
                                                                          @ ( street @ Y4 )
                                                                          @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                ( ( Y11 @ Y12 )
                                                                                & ( Y10 @ Y12 ) )
                                                                            @ ( way @ Y4 )
                                                                            @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                  ( ( Y11 @ Y12 )
                                                                                  & ( Y10 @ Y12 ) )
                                                                              @ ( lonely @ Y4 )
                                                                              @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                    ( ( Y11 @ Y12 )
                                                                                    & ( Y10 @ Y12 ) )
                                                                                @ ( chevy @ Y5 )
                                                                                @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                      ( ( Y11 @ Y12 )
                                                                                      & ( Y10 @ Y12 ) )
                                                                                  @ ( car @ Y5 )
                                                                                  @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                        ( ( Y11 @ Y12 )
                                                                                        & ( Y10 @ Y12 ) )
                                                                                    @ ( white @ Y5 )
                                                                                    @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                          ( ( Y11 @ Y12 )
                                                                                          & ( Y10 @ Y12 ) )
                                                                                      @ ( dirty @ Y5 )
                                                                                      @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                            ( ( Y11 @ Y12 )
                                                                                            & ( Y10 @ Y12 ) )
                                                                                        @ ( old @ Y5 )
                                                                                        @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                              ( ( Y11 @ Y12 )
                                                                                              & ( Y10 @ Y12 ) )
                                                                                          @ ( barrel @ Y3 @ Y5 )
                                                                                          @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                ( ( Y11 @ Y12 )
                                                                                                & ( Y10 @ Y12 ) )
                                                                                            @ ( down @ Y3 @ Y4 )
                                                                                            @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                  ( ( Y11 @ Y12 )
                                                                                                  & ( Y10 @ Y12 ) )
                                                                                              @ ( in @ Y3 @ Y2 )
                                                                                              @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                    ( ( Y11 @ Y12 )
                                                                                                    & ( Y10 @ Y12 ) )
                                                                                                @ ( ^ [Y10: mworld > $o,Y11: mworld] :
                                                                                                      ~ ( Y10 @ Y11 )
                                                                                                  @ ( qmltpeq @ Y6 @ Y7 ) )
                                                                                                @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                      ( ( Y11 @ Y12 )
                                                                                                      & ( Y10 @ Y12 ) )
                                                                                                  @ ( fellow @ Y6 )
                                                                                                  @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                        ( ( Y11 @ Y12 )
                                                                                                        & ( Y10 @ Y12 ) )
                                                                                                    @ ( man @ Y6 )
                                                                                                    @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                          ( ( Y11 @ Y12 )
                                                                                                          & ( Y10 @ Y12 ) )
                                                                                                      @ ( young @ Y6 )
                                                                                                      @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                            ( ( Y11 @ Y12 )
                                                                                                            & ( Y10 @ Y12 ) )
                                                                                                        @ ( fellow @ Y7 )
                                                                                                        @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                              ( ( Y11 @ Y12 )
                                                                                                              & ( Y10 @ Y12 ) )
                                                                                                          @ ( man @ Y7 )
                                                                                                          @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                                ( ( Y11 @ Y12 )
                                                                                                                & ( Y10 @ Y12 ) )
                                                                                                            @ ( young @ Y7 )
                                                                                                            @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                                  ( ( Y11 @ Y12 )
                                                                                                                  & ( Y10 @ Y12 ) )
                                                                                                              @ ( qmltpeq @ Y6 @ Y8 )
                                                                                                              @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                                    ( ( Y11 @ Y12 )
                                                                                                                    & ( Y10 @ Y12 ) )
                                                                                                                @ ( in @ Y8 @ Y0 )
                                                                                                                @ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
                                                                                                                      ( ( Y11 @ Y12 )
                                                                                                                      & ( Y10 @ Y12 ) )
                                                                                                                  @ ( qmltpeq @ Y7 @ Y9 )
                                                                                                                  @ ( in @ Y9 @ Y1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    = $true ),
    inference(definition_unfolding,[],[f122,f123,f146,f125,f145,f145,f145,f145,f145,f145,f145,f145,f145,f145,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f118,f146,f146,f146,f146,f146,f146,f146,f146,f146,f145,f145,f145,f145,f145,f145,f145,f145,f145,f145,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f118,f146,f146,f146,f146,f146,f146,f146,f146,f146,f125,f145,f145,f145,f145,f145,f145,f145,f145,f145,f145,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f118,f146,f146,f146,f146,f146,f146,f146,f146,f146,f145,f145,f145,f145,f145,f145,f145,f145,f145,f145,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f118,f146,f146,f146,f146,f146,f146,f146,f146,f146]) ).

thf(f212,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 )
                                                                        & ( in @ Y9 @ Y1 @ mactual )
                                                                        & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                        & ( in @ Y8 @ Y0 @ mactual )
                                                                        & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                        & ( young @ Y7 @ mactual )
                                                                        & ( man @ Y7 @ mactual )
                                                                        & ( fellow @ Y7 @ mactual )
                                                                        & ( young @ Y6 @ mactual )
                                                                        & ( man @ Y6 @ mactual )
                                                                        & ( fellow @ Y6 @ mactual )
                                                                        & ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
                                                                        & ( in @ Y3 @ Y2 @ mactual )
                                                                        & ( down @ Y3 @ Y5 @ mactual )
                                                                        & ( barrel @ Y3 @ Y4 @ mactual )
                                                                        & ( lonely @ Y5 @ mactual )
                                                                        & ( way @ Y5 @ mactual )
                                                                        & ( street @ Y5 @ mactual )
                                                                        & ( old @ Y4 @ mactual )
                                                                        & ( dirty @ Y4 @ mactual )
                                                                        & ( white @ Y4 @ mactual )
                                                                        & ( car @ Y4 @ mactual )
                                                                        & ( chevy @ Y4 @ mactual )
                                                                        & ( event @ Y3 @ mactual )
                                                                        & ( city @ Y2 @ mactual )
                                                                        & ( hollywood @ Y2 @ mactual )
                                                                        & ( front @ Y1 @ mactual )
                                                                        & ( furniture @ Y1 @ mactual )
                                                                        & ( seat @ Y1 @ mactual )
                                                                        & ( front @ Y0 @ mactual )
                                                                        & ( furniture @ Y0 @ mactual )
                                                                        & ( seat @ Y0 @ 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 )
                                                                        & ( in @ Y9 @ Y1 @ mactual )
                                                                        & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                        & ( in @ Y8 @ Y0 @ mactual )
                                                                        & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                        & ( young @ Y7 @ mactual )
                                                                        & ( man @ Y7 @ mactual )
                                                                        & ( fellow @ Y7 @ mactual )
                                                                        & ( young @ Y6 @ mactual )
                                                                        & ( man @ Y6 @ mactual )
                                                                        & ( fellow @ Y6 @ mactual )
                                                                        & ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
                                                                        & ( in @ Y3 @ Y2 @ mactual )
                                                                        & ( down @ Y3 @ Y4 @ mactual )
                                                                        & ( barrel @ Y3 @ Y5 @ mactual )
                                                                        & ( old @ Y5 @ mactual )
                                                                        & ( dirty @ Y5 @ mactual )
                                                                        & ( white @ Y5 @ mactual )
                                                                        & ( car @ Y5 @ mactual )
                                                                        & ( chevy @ Y5 @ mactual )
                                                                        & ( lonely @ Y4 @ mactual )
                                                                        & ( way @ Y4 @ mactual )
                                                                        & ( street @ Y4 @ mactual )
                                                                        & ( event @ Y3 @ mactual )
                                                                        & ( city @ Y2 @ mactual )
                                                                        & ( hollywood @ Y2 @ mactual )
                                                                        & ( front @ Y1 @ mactual )
                                                                        & ( furniture @ Y1 @ mactual )
                                                                        & ( seat @ Y1 @ mactual )
                                                                        & ( front @ Y0 @ mactual )
                                                                        & ( furniture @ Y0 @ mactual )
                                                                        & ( seat @ Y0 @ 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 )
                                                                        & ( in @ Y9 @ Y1 @ mactual )
                                                                        & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                        & ( in @ Y8 @ Y0 @ mactual )
                                                                        & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                        & ( young @ Y7 @ mactual )
                                                                        & ( man @ Y7 @ mactual )
                                                                        & ( fellow @ Y7 @ mactual )
                                                                        & ( young @ Y6 @ mactual )
                                                                        & ( man @ Y6 @ mactual )
                                                                        & ( fellow @ Y6 @ mactual )
                                                                        & ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
                                                                        & ( in @ Y3 @ Y2 @ mactual )
                                                                        & ( down @ Y3 @ Y4 @ mactual )
                                                                        & ( barrel @ Y3 @ Y5 @ mactual )
                                                                        & ( old @ Y5 @ mactual )
                                                                        & ( dirty @ Y5 @ mactual )
                                                                        & ( white @ Y5 @ mactual )
                                                                        & ( car @ Y5 @ mactual )
                                                                        & ( chevy @ Y5 @ mactual )
                                                                        & ( lonely @ Y4 @ mactual )
                                                                        & ( way @ Y4 @ mactual )
                                                                        & ( street @ Y4 @ mactual )
                                                                        & ( event @ Y3 @ mactual )
                                                                        & ( city @ Y2 @ mactual )
                                                                        & ( hollywood @ Y2 @ mactual )
                                                                        & ( front @ Y1 @ mactual )
                                                                        & ( furniture @ Y1 @ mactual )
                                                                        & ( seat @ Y1 @ mactual )
                                                                        & ( front @ Y0 @ mactual )
                                                                        & ( furniture @ Y0 @ mactual )
                                                                        & ( seat @ Y0 @ 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 )
                                                                        & ( in @ Y9 @ Y1 @ mactual )
                                                                        & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                        & ( in @ Y8 @ Y0 @ mactual )
                                                                        & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                        & ( young @ Y7 @ mactual )
                                                                        & ( man @ Y7 @ mactual )
                                                                        & ( fellow @ Y7 @ mactual )
                                                                        & ( young @ Y6 @ mactual )
                                                                        & ( man @ Y6 @ mactual )
                                                                        & ( fellow @ Y6 @ mactual )
                                                                        & ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
                                                                        & ( in @ Y3 @ Y2 @ mactual )
                                                                        & ( down @ Y3 @ Y5 @ mactual )
                                                                        & ( barrel @ Y3 @ Y4 @ mactual )
                                                                        & ( lonely @ Y5 @ mactual )
                                                                        & ( way @ Y5 @ mactual )
                                                                        & ( street @ Y5 @ mactual )
                                                                        & ( old @ Y4 @ mactual )
                                                                        & ( dirty @ Y4 @ mactual )
                                                                        & ( white @ Y4 @ mactual )
                                                                        & ( car @ Y4 @ mactual )
                                                                        & ( chevy @ Y4 @ mactual )
                                                                        & ( event @ Y3 @ mactual )
                                                                        & ( city @ Y2 @ mactual )
                                                                        & ( hollywood @ Y2 @ mactual )
                                                                        & ( front @ Y1 @ mactual )
                                                                        & ( furniture @ Y1 @ mactual )
                                                                        & ( seat @ Y1 @ mactual )
                                                                        & ( front @ Y0 @ mactual )
                                                                        & ( furniture @ Y0 @ mactual )
                                                                        & ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    = $true ),
    inference(beta-eta_normalization,[],[f161]) ).

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 )
                                                                    & ( in @ Y9 @ Y1 @ mactual )
                                                                    & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                    & ( in @ Y8 @ Y0 @ mactual )
                                                                    & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                    & ( young @ Y7 @ mactual )
                                                                    & ( man @ Y7 @ mactual )
                                                                    & ( fellow @ Y7 @ mactual )
                                                                    & ( young @ Y6 @ mactual )
                                                                    & ( man @ Y6 @ mactual )
                                                                    & ( fellow @ Y6 @ mactual )
                                                                    & ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
                                                                    & ( in @ Y3 @ Y2 @ mactual )
                                                                    & ( down @ Y3 @ Y5 @ mactual )
                                                                    & ( barrel @ Y3 @ Y4 @ mactual )
                                                                    & ( lonely @ Y5 @ mactual )
                                                                    & ( way @ Y5 @ mactual )
                                                                    & ( street @ Y5 @ mactual )
                                                                    & ( old @ Y4 @ mactual )
                                                                    & ( dirty @ Y4 @ mactual )
                                                                    & ( white @ Y4 @ mactual )
                                                                    & ( car @ Y4 @ mactual )
                                                                    & ( chevy @ Y4 @ mactual )
                                                                    & ( event @ Y3 @ mactual )
                                                                    & ( city @ Y2 @ mactual )
                                                                    & ( hollywood @ Y2 @ mactual )
                                                                    & ( front @ Y1 @ mactual )
                                                                    & ( furniture @ Y1 @ mactual )
                                                                    & ( seat @ Y1 @ mactual )
                                                                    & ( front @ Y0 @ mactual )
                                                                    & ( furniture @ Y0 @ mactual )
                                                                    & ( seat @ Y0 @ 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 )
                                                                    & ( in @ Y9 @ Y1 @ mactual )
                                                                    & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                    & ( in @ Y8 @ Y0 @ mactual )
                                                                    & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                    & ( young @ Y7 @ mactual )
                                                                    & ( man @ Y7 @ mactual )
                                                                    & ( fellow @ Y7 @ mactual )
                                                                    & ( young @ Y6 @ mactual )
                                                                    & ( man @ Y6 @ mactual )
                                                                    & ( fellow @ Y6 @ mactual )
                                                                    & ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
                                                                    & ( in @ Y3 @ Y2 @ mactual )
                                                                    & ( down @ Y3 @ Y4 @ mactual )
                                                                    & ( barrel @ Y3 @ Y5 @ mactual )
                                                                    & ( old @ Y5 @ mactual )
                                                                    & ( dirty @ Y5 @ mactual )
                                                                    & ( white @ Y5 @ mactual )
                                                                    & ( car @ Y5 @ mactual )
                                                                    & ( chevy @ Y5 @ mactual )
                                                                    & ( lonely @ Y4 @ mactual )
                                                                    & ( way @ Y4 @ mactual )
                                                                    & ( street @ Y4 @ mactual )
                                                                    & ( event @ Y3 @ mactual )
                                                                    & ( city @ Y2 @ mactual )
                                                                    & ( hollywood @ Y2 @ mactual )
                                                                    & ( front @ Y1 @ mactual )
                                                                    & ( furniture @ Y1 @ mactual )
                                                                    & ( seat @ Y1 @ mactual )
                                                                    & ( front @ Y0 @ mactual )
                                                                    & ( furniture @ Y0 @ mactual )
                                                                    & ( seat @ Y0 @ 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 )
                                                                    & ( in @ Y9 @ Y1 @ mactual )
                                                                    & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                    & ( in @ Y8 @ Y0 @ mactual )
                                                                    & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                    & ( young @ Y7 @ mactual )
                                                                    & ( man @ Y7 @ mactual )
                                                                    & ( fellow @ Y7 @ mactual )
                                                                    & ( young @ Y6 @ mactual )
                                                                    & ( man @ Y6 @ mactual )
                                                                    & ( fellow @ Y6 @ mactual )
                                                                    & ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
                                                                    & ( in @ Y3 @ Y2 @ mactual )
                                                                    & ( down @ Y3 @ Y4 @ mactual )
                                                                    & ( barrel @ Y3 @ Y5 @ mactual )
                                                                    & ( old @ Y5 @ mactual )
                                                                    & ( dirty @ Y5 @ mactual )
                                                                    & ( white @ Y5 @ mactual )
                                                                    & ( car @ Y5 @ mactual )
                                                                    & ( chevy @ Y5 @ mactual )
                                                                    & ( lonely @ Y4 @ mactual )
                                                                    & ( way @ Y4 @ mactual )
                                                                    & ( street @ Y4 @ mactual )
                                                                    & ( event @ Y3 @ mactual )
                                                                    & ( city @ Y2 @ mactual )
                                                                    & ( hollywood @ Y2 @ mactual )
                                                                    & ( front @ Y1 @ mactual )
                                                                    & ( furniture @ Y1 @ mactual )
                                                                    & ( seat @ Y1 @ mactual )
                                                                    & ( front @ Y0 @ mactual )
                                                                    & ( furniture @ Y0 @ mactual )
                                                                    & ( seat @ Y0 @ 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 )
                                                                    & ( in @ Y9 @ Y1 @ mactual )
                                                                    & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                    & ( in @ Y8 @ Y0 @ mactual )
                                                                    & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                    & ( young @ Y7 @ mactual )
                                                                    & ( man @ Y7 @ mactual )
                                                                    & ( fellow @ Y7 @ mactual )
                                                                    & ( young @ Y6 @ mactual )
                                                                    & ( man @ Y6 @ mactual )
                                                                    & ( fellow @ Y6 @ mactual )
                                                                    & ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
                                                                    & ( in @ Y3 @ Y2 @ mactual )
                                                                    & ( down @ Y3 @ Y5 @ mactual )
                                                                    & ( barrel @ Y3 @ Y4 @ mactual )
                                                                    & ( lonely @ Y5 @ mactual )
                                                                    & ( way @ Y5 @ mactual )
                                                                    & ( street @ Y5 @ mactual )
                                                                    & ( old @ Y4 @ mactual )
                                                                    & ( dirty @ Y4 @ mactual )
                                                                    & ( white @ Y4 @ mactual )
                                                                    & ( car @ Y4 @ mactual )
                                                                    & ( chevy @ Y4 @ mactual )
                                                                    & ( event @ Y3 @ mactual )
                                                                    & ( city @ Y2 @ mactual )
                                                                    & ( hollywood @ Y2 @ mactual )
                                                                    & ( front @ Y1 @ mactual )
                                                                    & ( furniture @ Y1 @ mactual )
                                                                    & ( seat @ Y1 @ mactual )
                                                                    & ( front @ Y0 @ mactual )
                                                                    & ( furniture @ Y0 @ mactual )
                                                                    & ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    = $false ),
    inference(not_proxy_clausification,[],[f212]) ).

thf(f214,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 )
                                                                    & ( in @ Y9 @ Y1 @ mactual )
                                                                    & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                    & ( in @ Y8 @ Y0 @ mactual )
                                                                    & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                    & ( young @ Y7 @ mactual )
                                                                    & ( man @ Y7 @ mactual )
                                                                    & ( fellow @ Y7 @ mactual )
                                                                    & ( young @ Y6 @ mactual )
                                                                    & ( man @ Y6 @ mactual )
                                                                    & ( fellow @ Y6 @ mactual )
                                                                    & ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
                                                                    & ( in @ Y3 @ Y2 @ mactual )
                                                                    & ( down @ Y3 @ Y5 @ mactual )
                                                                    & ( barrel @ Y3 @ Y4 @ mactual )
                                                                    & ( lonely @ Y5 @ mactual )
                                                                    & ( way @ Y5 @ mactual )
                                                                    & ( street @ Y5 @ mactual )
                                                                    & ( old @ Y4 @ mactual )
                                                                    & ( dirty @ Y4 @ mactual )
                                                                    & ( white @ Y4 @ mactual )
                                                                    & ( car @ Y4 @ mactual )
                                                                    & ( chevy @ Y4 @ mactual )
                                                                    & ( event @ Y3 @ mactual )
                                                                    & ( city @ Y2 @ mactual )
                                                                    & ( hollywood @ Y2 @ mactual )
                                                                    & ( front @ Y1 @ mactual )
                                                                    & ( furniture @ Y1 @ mactual )
                                                                    & ( seat @ Y1 @ mactual )
                                                                    & ( front @ Y0 @ mactual )
                                                                    & ( furniture @ Y0 @ mactual )
                                                                    & ( seat @ Y0 @ 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 )
                                                                    & ( in @ Y9 @ Y1 @ mactual )
                                                                    & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                    & ( in @ Y8 @ Y0 @ mactual )
                                                                    & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                    & ( young @ Y7 @ mactual )
                                                                    & ( man @ Y7 @ mactual )
                                                                    & ( fellow @ Y7 @ mactual )
                                                                    & ( young @ Y6 @ mactual )
                                                                    & ( man @ Y6 @ mactual )
                                                                    & ( fellow @ Y6 @ mactual )
                                                                    & ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
                                                                    & ( in @ Y3 @ Y2 @ mactual )
                                                                    & ( down @ Y3 @ Y4 @ mactual )
                                                                    & ( barrel @ Y3 @ Y5 @ mactual )
                                                                    & ( old @ Y5 @ mactual )
                                                                    & ( dirty @ Y5 @ mactual )
                                                                    & ( white @ Y5 @ mactual )
                                                                    & ( car @ Y5 @ mactual )
                                                                    & ( chevy @ Y5 @ mactual )
                                                                    & ( lonely @ Y4 @ mactual )
                                                                    & ( way @ Y4 @ mactual )
                                                                    & ( street @ Y4 @ mactual )
                                                                    & ( event @ Y3 @ mactual )
                                                                    & ( city @ Y2 @ mactual )
                                                                    & ( hollywood @ Y2 @ mactual )
                                                                    & ( front @ Y1 @ mactual )
                                                                    & ( furniture @ Y1 @ mactual )
                                                                    & ( seat @ Y1 @ mactual )
                                                                    & ( front @ Y0 @ mactual )
                                                                    & ( furniture @ Y0 @ mactual )
                                                                    & ( seat @ Y0 @ 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 )
                                                                    & ( in @ Y9 @ Y1 @ mactual )
                                                                    & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                    & ( in @ Y8 @ Y0 @ mactual )
                                                                    & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                    & ( young @ Y7 @ mactual )
                                                                    & ( man @ Y7 @ mactual )
                                                                    & ( fellow @ Y7 @ mactual )
                                                                    & ( young @ Y6 @ mactual )
                                                                    & ( man @ Y6 @ mactual )
                                                                    & ( fellow @ Y6 @ mactual )
                                                                    & ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
                                                                    & ( in @ Y3 @ Y2 @ mactual )
                                                                    & ( down @ Y3 @ Y4 @ mactual )
                                                                    & ( barrel @ Y3 @ Y5 @ mactual )
                                                                    & ( old @ Y5 @ mactual )
                                                                    & ( dirty @ Y5 @ mactual )
                                                                    & ( white @ Y5 @ mactual )
                                                                    & ( car @ Y5 @ mactual )
                                                                    & ( chevy @ Y5 @ mactual )
                                                                    & ( lonely @ Y4 @ mactual )
                                                                    & ( way @ Y4 @ mactual )
                                                                    & ( street @ Y4 @ mactual )
                                                                    & ( event @ Y3 @ mactual )
                                                                    & ( city @ Y2 @ mactual )
                                                                    & ( hollywood @ Y2 @ mactual )
                                                                    & ( front @ Y1 @ mactual )
                                                                    & ( furniture @ Y1 @ mactual )
                                                                    & ( seat @ Y1 @ mactual )
                                                                    & ( front @ Y0 @ mactual )
                                                                    & ( furniture @ Y0 @ mactual )
                                                                    & ( seat @ Y0 @ 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 )
                                                                    & ( in @ Y9 @ Y1 @ mactual )
                                                                    & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                    & ( in @ Y8 @ Y0 @ mactual )
                                                                    & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                    & ( young @ Y7 @ mactual )
                                                                    & ( man @ Y7 @ mactual )
                                                                    & ( fellow @ Y7 @ mactual )
                                                                    & ( young @ Y6 @ mactual )
                                                                    & ( man @ Y6 @ mactual )
                                                                    & ( fellow @ Y6 @ mactual )
                                                                    & ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
                                                                    & ( in @ Y3 @ Y2 @ mactual )
                                                                    & ( down @ Y3 @ Y5 @ mactual )
                                                                    & ( barrel @ Y3 @ Y4 @ mactual )
                                                                    & ( lonely @ Y5 @ mactual )
                                                                    & ( way @ Y5 @ mactual )
                                                                    & ( street @ Y5 @ mactual )
                                                                    & ( old @ Y4 @ mactual )
                                                                    & ( dirty @ Y4 @ mactual )
                                                                    & ( white @ Y4 @ mactual )
                                                                    & ( car @ Y4 @ mactual )
                                                                    & ( chevy @ Y4 @ mactual )
                                                                    & ( event @ Y3 @ mactual )
                                                                    & ( city @ Y2 @ mactual )
                                                                    & ( hollywood @ Y2 @ mactual )
                                                                    & ( front @ Y1 @ mactual )
                                                                    & ( furniture @ Y1 @ mactual )
                                                                    & ( seat @ Y1 @ mactual )
                                                                    & ( front @ Y0 @ mactual )
                                                                    & ( furniture @ Y0 @ mactual )
                                                                    & ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      = $false ) ),
    inference(and_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 )
                                                                  & ( in @ Y9 @ Y1 @ mactual )
                                                                  & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                  & ( in @ Y8 @ Y0 @ mactual )
                                                                  & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                  & ( young @ Y7 @ mactual )
                                                                  & ( man @ Y7 @ mactual )
                                                                  & ( fellow @ Y7 @ mactual )
                                                                  & ( young @ Y6 @ mactual )
                                                                  & ( man @ Y6 @ mactual )
                                                                  & ( fellow @ Y6 @ mactual )
                                                                  & ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
                                                                  & ( in @ Y3 @ Y2 @ mactual )
                                                                  & ( down @ Y3 @ Y4 @ mactual )
                                                                  & ( barrel @ Y3 @ Y5 @ mactual )
                                                                  & ( old @ Y5 @ mactual )
                                                                  & ( dirty @ Y5 @ mactual )
                                                                  & ( white @ Y5 @ mactual )
                                                                  & ( car @ Y5 @ mactual )
                                                                  & ( chevy @ Y5 @ mactual )
                                                                  & ( lonely @ Y4 @ mactual )
                                                                  & ( way @ Y4 @ mactual )
                                                                  & ( street @ Y4 @ mactual )
                                                                  & ( event @ Y3 @ mactual )
                                                                  & ( city @ Y2 @ mactual )
                                                                  & ( hollywood @ Y2 @ mactual )
                                                                  & ( front @ Y1 @ mactual )
                                                                  & ( furniture @ Y1 @ mactual )
                                                                  & ( seat @ Y1 @ mactual )
                                                                  & ( front @ Y0 @ mactual )
                                                                  & ( furniture @ Y0 @ mactual )
                                                                  & ( seat @ Y0 @ 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 )
                                                                    & ( in @ Y9 @ Y1 @ mactual )
                                                                    & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                    & ( in @ Y8 @ Y0 @ mactual )
                                                                    & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                    & ( young @ Y7 @ mactual )
                                                                    & ( man @ Y7 @ mactual )
                                                                    & ( fellow @ Y7 @ mactual )
                                                                    & ( young @ Y6 @ mactual )
                                                                    & ( man @ Y6 @ mactual )
                                                                    & ( fellow @ Y6 @ mactual )
                                                                    & ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
                                                                    & ( in @ Y3 @ Y2 @ mactual )
                                                                    & ( down @ Y3 @ Y4 @ mactual )
                                                                    & ( barrel @ Y3 @ Y5 @ mactual )
                                                                    & ( old @ Y5 @ mactual )
                                                                    & ( dirty @ Y5 @ mactual )
                                                                    & ( white @ Y5 @ mactual )
                                                                    & ( car @ Y5 @ mactual )
                                                                    & ( chevy @ Y5 @ mactual )
                                                                    & ( lonely @ Y4 @ mactual )
                                                                    & ( way @ Y4 @ mactual )
                                                                    & ( street @ Y4 @ mactual )
                                                                    & ( event @ Y3 @ mactual )
                                                                    & ( city @ Y2 @ mactual )
                                                                    & ( hollywood @ Y2 @ mactual )
                                                                    & ( front @ Y1 @ mactual )
                                                                    & ( furniture @ Y1 @ mactual )
                                                                    & ( seat @ Y1 @ mactual )
                                                                    & ( front @ Y0 @ mactual )
                                                                    & ( furniture @ Y0 @ mactual )
                                                                    & ( seat @ Y0 @ 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 )
                                                                    & ( in @ Y9 @ Y1 @ mactual )
                                                                    & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                    & ( in @ Y8 @ Y0 @ mactual )
                                                                    & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                    & ( young @ Y7 @ mactual )
                                                                    & ( man @ Y7 @ mactual )
                                                                    & ( fellow @ Y7 @ mactual )
                                                                    & ( young @ Y6 @ mactual )
                                                                    & ( man @ Y6 @ mactual )
                                                                    & ( fellow @ Y6 @ mactual )
                                                                    & ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
                                                                    & ( in @ Y3 @ Y2 @ mactual )
                                                                    & ( down @ Y3 @ Y5 @ mactual )
                                                                    & ( barrel @ Y3 @ Y4 @ mactual )
                                                                    & ( lonely @ Y5 @ mactual )
                                                                    & ( way @ Y5 @ mactual )
                                                                    & ( street @ Y5 @ mactual )
                                                                    & ( old @ Y4 @ mactual )
                                                                    & ( dirty @ Y4 @ mactual )
                                                                    & ( white @ Y4 @ mactual )
                                                                    & ( car @ Y4 @ mactual )
                                                                    & ( chevy @ Y4 @ mactual )
                                                                    & ( event @ Y3 @ mactual )
                                                                    & ( city @ Y2 @ mactual )
                                                                    & ( hollywood @ Y2 @ mactual )
                                                                    & ( front @ Y1 @ mactual )
                                                                    & ( furniture @ Y1 @ mactual )
                                                                    & ( seat @ Y1 @ mactual )
                                                                    & ( front @ Y0 @ mactual )
                                                                    & ( furniture @ Y0 @ mactual )
                                                                    & ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      = $false ) ),
    inference(imp_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 )
                                                                    & ( in @ Y9 @ Y1 @ mactual )
                                                                    & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                    & ( in @ Y8 @ Y0 @ mactual )
                                                                    & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                    & ( young @ Y7 @ mactual )
                                                                    & ( man @ Y7 @ mactual )
                                                                    & ( fellow @ Y7 @ mactual )
                                                                    & ( young @ Y6 @ mactual )
                                                                    & ( man @ Y6 @ mactual )
                                                                    & ( fellow @ Y6 @ mactual )
                                                                    & ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
                                                                    & ( in @ Y3 @ Y2 @ mactual )
                                                                    & ( down @ Y3 @ Y4 @ mactual )
                                                                    & ( barrel @ Y3 @ Y5 @ mactual )
                                                                    & ( old @ Y5 @ mactual )
                                                                    & ( dirty @ Y5 @ mactual )
                                                                    & ( white @ Y5 @ mactual )
                                                                    & ( car @ Y5 @ mactual )
                                                                    & ( chevy @ Y5 @ mactual )
                                                                    & ( lonely @ Y4 @ mactual )
                                                                    & ( way @ Y4 @ mactual )
                                                                    & ( street @ Y4 @ mactual )
                                                                    & ( event @ Y3 @ mactual )
                                                                    & ( city @ Y2 @ mactual )
                                                                    & ( hollywood @ Y2 @ mactual )
                                                                    & ( front @ Y1 @ mactual )
                                                                    & ( furniture @ Y1 @ mactual )
                                                                    & ( seat @ Y1 @ mactual )
                                                                    & ( front @ Y0 @ mactual )
                                                                    & ( furniture @ Y0 @ mactual )
                                                                    & ( seat @ Y0 @ 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 )
                                                                    & ( in @ Y9 @ Y1 @ mactual )
                                                                    & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                    & ( in @ Y8 @ Y0 @ mactual )
                                                                    & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                    & ( young @ Y7 @ mactual )
                                                                    & ( man @ Y7 @ mactual )
                                                                    & ( fellow @ Y7 @ mactual )
                                                                    & ( young @ Y6 @ mactual )
                                                                    & ( man @ Y6 @ mactual )
                                                                    & ( fellow @ Y6 @ mactual )
                                                                    & ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
                                                                    & ( in @ Y3 @ Y2 @ mactual )
                                                                    & ( down @ Y3 @ Y5 @ mactual )
                                                                    & ( barrel @ Y3 @ Y4 @ mactual )
                                                                    & ( lonely @ Y5 @ mactual )
                                                                    & ( way @ Y5 @ mactual )
                                                                    & ( street @ Y5 @ mactual )
                                                                    & ( old @ Y4 @ mactual )
                                                                    & ( dirty @ Y4 @ mactual )
                                                                    & ( white @ Y4 @ mactual )
                                                                    & ( car @ Y4 @ mactual )
                                                                    & ( chevy @ Y4 @ mactual )
                                                                    & ( event @ Y3 @ mactual )
                                                                    & ( city @ Y2 @ mactual )
                                                                    & ( hollywood @ Y2 @ mactual )
                                                                    & ( front @ Y1 @ mactual )
                                                                    & ( furniture @ Y1 @ mactual )
                                                                    & ( seat @ Y1 @ mactual )
                                                                    & ( front @ Y0 @ mactual )
                                                                    & ( furniture @ Y0 @ mactual )
                                                                    & ( seat @ Y0 @ 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 )
                                                                  & ( in @ Y9 @ Y1 @ mactual )
                                                                  & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                  & ( in @ Y8 @ Y0 @ mactual )
                                                                  & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                  & ( young @ Y7 @ mactual )
                                                                  & ( man @ Y7 @ mactual )
                                                                  & ( fellow @ Y7 @ mactual )
                                                                  & ( young @ Y6 @ mactual )
                                                                  & ( man @ Y6 @ mactual )
                                                                  & ( fellow @ Y6 @ mactual )
                                                                  & ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
                                                                  & ( in @ Y3 @ Y2 @ mactual )
                                                                  & ( down @ Y3 @ Y5 @ mactual )
                                                                  & ( barrel @ Y3 @ Y4 @ mactual )
                                                                  & ( lonely @ Y5 @ mactual )
                                                                  & ( way @ Y5 @ mactual )
                                                                  & ( street @ Y5 @ mactual )
                                                                  & ( old @ Y4 @ mactual )
                                                                  & ( dirty @ Y4 @ mactual )
                                                                  & ( white @ Y4 @ mactual )
                                                                  & ( car @ Y4 @ mactual )
                                                                  & ( chevy @ Y4 @ mactual )
                                                                  & ( event @ Y3 @ mactual )
                                                                  & ( city @ Y2 @ mactual )
                                                                  & ( hollywood @ Y2 @ mactual )
                                                                  & ( front @ Y1 @ mactual )
                                                                  & ( furniture @ Y1 @ mactual )
                                                                  & ( seat @ Y1 @ mactual )
                                                                  & ( front @ Y0 @ mactual )
                                                                  & ( furniture @ Y0 @ mactual )
                                                                  & ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      = $true ) ),
    inference(imp_proxy_clausification,[],[f214]) ).

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

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

thf(f222,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 )
                                                                  & ( in @ Y9 @ Y1 @ mactual )
                                                                  & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                  & ( in @ Y8 @ Y0 @ mactual )
                                                                  & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                  & ( young @ Y7 @ mactual )
                                                                  & ( man @ Y7 @ mactual )
                                                                  & ( fellow @ Y7 @ mactual )
                                                                  & ( young @ Y6 @ mactual )
                                                                  & ( man @ Y6 @ mactual )
                                                                  & ( fellow @ Y6 @ mactual )
                                                                  & ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
                                                                  & ( in @ Y3 @ Y2 @ mactual )
                                                                  & ( down @ Y3 @ Y4 @ mactual )
                                                                  & ( barrel @ Y3 @ Y5 @ mactual )
                                                                  & ( old @ Y5 @ mactual )
                                                                  & ( dirty @ Y5 @ mactual )
                                                                  & ( white @ Y5 @ mactual )
                                                                  & ( car @ Y5 @ mactual )
                                                                  & ( chevy @ Y5 @ mactual )
                                                                  & ( lonely @ Y4 @ mactual )
                                                                  & ( way @ Y4 @ mactual )
                                                                  & ( street @ Y4 @ mactual )
                                                                  & ( event @ Y3 @ mactual )
                                                                  & ( city @ Y2 @ mactual )
                                                                  & ( hollywood @ Y2 @ mactual )
                                                                  & ( front @ Y1 @ mactual )
                                                                  & ( furniture @ Y1 @ mactual )
                                                                  & ( seat @ Y1 @ mactual )
                                                                  & ( front @ Y0 @ mactual )
                                                                  & ( furniture @ Y0 @ mactual )
                                                                  & ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      = $false ) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

thf(f223,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 )
                                                                  & ( in @ Y9 @ Y1 @ mactual )
                                                                  & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                  & ( in @ Y8 @ Y0 @ mactual )
                                                                  & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                  & ( young @ Y7 @ mactual )
                                                                  & ( man @ Y7 @ mactual )
                                                                  & ( fellow @ Y7 @ mactual )
                                                                  & ( young @ Y6 @ mactual )
                                                                  & ( man @ Y6 @ mactual )
                                                                  & ( fellow @ Y6 @ mactual )
                                                                  & ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
                                                                  & ( in @ Y3 @ Y2 @ mactual )
                                                                  & ( down @ Y3 @ Y4 @ mactual )
                                                                  & ( barrel @ Y3 @ Y5 @ mactual )
                                                                  & ( old @ Y5 @ mactual )
                                                                  & ( dirty @ Y5 @ mactual )
                                                                  & ( white @ Y5 @ mactual )
                                                                  & ( car @ Y5 @ mactual )
                                                                  & ( chevy @ Y5 @ mactual )
                                                                  & ( lonely @ Y4 @ mactual )
                                                                  & ( way @ Y4 @ mactual )
                                                                  & ( street @ Y4 @ mactual )
                                                                  & ( event @ Y3 @ mactual )
                                                                  & ( city @ Y2 @ mactual )
                                                                  & ( hollywood @ Y2 @ mactual )
                                                                  & ( front @ Y1 @ mactual )
                                                                  & ( furniture @ Y1 @ mactual )
                                                                  & ( seat @ Y1 @ mactual )
                                                                  & ( front @ Y0 @ mactual )
                                                                  & ( furniture @ Y0 @ mactual )
                                                                  & ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
     != $false )
    | spl0_1 ),
    inference(avatar_component_clause,[],[f222]) ).

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 )
                                                                  & ( in @ Y9 @ Y1 @ mactual )
                                                                  & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                  & ( in @ Y8 @ Y0 @ mactual )
                                                                  & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                  & ( young @ Y7 @ mactual )
                                                                  & ( man @ Y7 @ mactual )
                                                                  & ( fellow @ Y7 @ mactual )
                                                                  & ( young @ Y6 @ mactual )
                                                                  & ( man @ Y6 @ mactual )
                                                                  & ( fellow @ Y6 @ mactual )
                                                                  & ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
                                                                  & ( in @ Y3 @ Y2 @ mactual )
                                                                  & ( down @ Y3 @ Y4 @ mactual )
                                                                  & ( barrel @ Y3 @ Y5 @ mactual )
                                                                  & ( old @ Y5 @ mactual )
                                                                  & ( dirty @ Y5 @ mactual )
                                                                  & ( white @ Y5 @ mactual )
                                                                  & ( car @ Y5 @ mactual )
                                                                  & ( chevy @ Y5 @ mactual )
                                                                  & ( lonely @ Y4 @ mactual )
                                                                  & ( way @ Y4 @ mactual )
                                                                  & ( street @ Y4 @ mactual )
                                                                  & ( event @ Y3 @ mactual )
                                                                  & ( city @ Y2 @ mactual )
                                                                  & ( hollywood @ Y2 @ mactual )
                                                                  & ( front @ Y1 @ mactual )
                                                                  & ( furniture @ Y1 @ mactual )
                                                                  & ( seat @ Y1 @ mactual )
                                                                  & ( front @ Y0 @ mactual )
                                                                  & ( furniture @ Y0 @ mactual )
                                                                  & ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      = $false )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f222]) ).

thf(f226,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 )
                                                                  & ( in @ Y9 @ Y1 @ mactual )
                                                                  & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                  & ( in @ Y8 @ Y0 @ mactual )
                                                                  & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                  & ( young @ Y7 @ mactual )
                                                                  & ( man @ Y7 @ mactual )
                                                                  & ( fellow @ Y7 @ mactual )
                                                                  & ( young @ Y6 @ mactual )
                                                                  & ( man @ Y6 @ mactual )
                                                                  & ( fellow @ Y6 @ mactual )
                                                                  & ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
                                                                  & ( in @ Y3 @ Y2 @ mactual )
                                                                  & ( down @ Y3 @ Y5 @ mactual )
                                                                  & ( barrel @ Y3 @ Y4 @ mactual )
                                                                  & ( lonely @ Y5 @ mactual )
                                                                  & ( way @ Y5 @ mactual )
                                                                  & ( street @ Y5 @ mactual )
                                                                  & ( old @ Y4 @ mactual )
                                                                  & ( dirty @ Y4 @ mactual )
                                                                  & ( white @ Y4 @ mactual )
                                                                  & ( car @ Y4 @ mactual )
                                                                  & ( chevy @ Y4 @ mactual )
                                                                  & ( event @ Y3 @ mactual )
                                                                  & ( city @ Y2 @ mactual )
                                                                  & ( hollywood @ Y2 @ mactual )
                                                                  & ( front @ Y1 @ mactual )
                                                                  & ( furniture @ Y1 @ mactual )
                                                                  & ( seat @ Y1 @ mactual )
                                                                  & ( front @ Y0 @ mactual )
                                                                  & ( furniture @ Y0 @ mactual )
                                                                  & ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      = $false ) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

thf(f228,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 )
                                                                  & ( in @ Y9 @ Y1 @ mactual )
                                                                  & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                  & ( in @ Y8 @ Y0 @ mactual )
                                                                  & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                  & ( young @ Y7 @ mactual )
                                                                  & ( man @ Y7 @ mactual )
                                                                  & ( fellow @ Y7 @ mactual )
                                                                  & ( young @ Y6 @ mactual )
                                                                  & ( man @ Y6 @ mactual )
                                                                  & ( fellow @ Y6 @ mactual )
                                                                  & ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
                                                                  & ( in @ Y3 @ Y2 @ mactual )
                                                                  & ( down @ Y3 @ Y5 @ mactual )
                                                                  & ( barrel @ Y3 @ Y4 @ mactual )
                                                                  & ( lonely @ Y5 @ mactual )
                                                                  & ( way @ Y5 @ mactual )
                                                                  & ( street @ Y5 @ mactual )
                                                                  & ( old @ Y4 @ mactual )
                                                                  & ( dirty @ Y4 @ mactual )
                                                                  & ( white @ Y4 @ mactual )
                                                                  & ( car @ Y4 @ mactual )
                                                                  & ( chevy @ Y4 @ mactual )
                                                                  & ( event @ Y3 @ mactual )
                                                                  & ( city @ Y2 @ mactual )
                                                                  & ( hollywood @ Y2 @ mactual )
                                                                  & ( front @ Y1 @ mactual )
                                                                  & ( furniture @ Y1 @ mactual )
                                                                  & ( seat @ Y1 @ mactual )
                                                                  & ( front @ Y0 @ mactual )
                                                                  & ( furniture @ Y0 @ mactual )
                                                                  & ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      = $false )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f226]) ).

thf(f229,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f217,f226,f222]) ).

thf(f230,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 )
                                                                    & ( in @ Y9 @ Y1 @ mactual )
                                                                    & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                    & ( in @ Y8 @ Y0 @ mactual )
                                                                    & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                    & ( young @ Y7 @ mactual )
                                                                    & ( man @ Y7 @ mactual )
                                                                    & ( fellow @ Y7 @ mactual )
                                                                    & ( young @ Y6 @ mactual )
                                                                    & ( man @ Y6 @ mactual )
                                                                    & ( fellow @ Y6 @ mactual )
                                                                    & ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
                                                                    & ( in @ Y3 @ Y2 @ mactual )
                                                                    & ( down @ Y3 @ Y4 @ mactual )
                                                                    & ( barrel @ Y3 @ Y5 @ mactual )
                                                                    & ( old @ Y5 @ mactual )
                                                                    & ( dirty @ Y5 @ mactual )
                                                                    & ( white @ Y5 @ mactual )
                                                                    & ( car @ Y5 @ mactual )
                                                                    & ( chevy @ Y5 @ mactual )
                                                                    & ( lonely @ Y4 @ mactual )
                                                                    & ( way @ Y4 @ mactual )
                                                                    & ( street @ Y4 @ mactual )
                                                                    & ( event @ Y3 @ mactual )
                                                                    & ( city @ Y2 @ mactual )
                                                                    & ( hollywood @ Y2 @ mactual )
                                                                    & ( front @ Y1 @ mactual )
                                                                    & ( furniture @ Y1 @ mactual )
                                                                    & ( seat @ Y1 @ mactual )
                                                                    & ( front @ Y0 @ mactual )
                                                                    & ( furniture @ Y0 @ mactual )
                                                                    & ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
          @ X1 ) )
    | ~ spl0_1 ),
    inference(pi_proxy_clausification,[],[f224]) ).

thf(f233,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 )
                                                                & ( in @ Y8 @ Y0 @ mactual )
                                                                & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                & ( in @ Y7 @ X1 @ mactual )
                                                                & ( qmltpeq @ Y5 @ Y7 @ mactual )
                                                                & ( young @ Y6 @ mactual )
                                                                & ( man @ Y6 @ mactual )
                                                                & ( fellow @ Y6 @ mactual )
                                                                & ( young @ Y5 @ mactual )
                                                                & ( man @ Y5 @ mactual )
                                                                & ( fellow @ Y5 @ mactual )
                                                                & ~ ( qmltpeq @ Y5 @ Y6 @ mactual )
                                                                & ( in @ Y2 @ Y1 @ mactual )
                                                                & ( down @ Y2 @ Y3 @ mactual )
                                                                & ( barrel @ Y2 @ Y4 @ mactual )
                                                                & ( old @ Y4 @ mactual )
                                                                & ( dirty @ Y4 @ mactual )
                                                                & ( white @ Y4 @ mactual )
                                                                & ( car @ Y4 @ mactual )
                                                                & ( chevy @ Y4 @ mactual )
                                                                & ( lonely @ Y3 @ mactual )
                                                                & ( way @ Y3 @ mactual )
                                                                & ( street @ Y3 @ mactual )
                                                                & ( event @ Y2 @ mactual )
                                                                & ( city @ Y1 @ mactual )
                                                                & ( hollywood @ Y1 @ mactual )
                                                                & ( front @ Y0 @ mactual )
                                                                & ( furniture @ Y0 @ mactual )
                                                                & ( seat @ Y0 @ mactual )
                                                                & ( front @ X1 @ mactual )
                                                                & ( furniture @ X1 @ mactual )
                                                                & ( seat @ X1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
        = $false )
    | ~ spl0_1 ),
    inference(beta-eta_normalization,[],[f230]) ).

thf(f234,plain,
    ( ! [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 )
                                                          & ( ?? @ $i
                                                            @ ^ [Y8: $i] :
                                                                ( ( eiw_di @ Y8 @ mactual )
                                                                & ( in @ Y8 @ Y0 @ mactual )
                                                                & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                & ( in @ Y7 @ X1 @ mactual )
                                                                & ( qmltpeq @ Y5 @ Y7 @ mactual )
                                                                & ( young @ Y6 @ mactual )
                                                                & ( man @ Y6 @ mactual )
                                                                & ( fellow @ Y6 @ mactual )
                                                                & ( young @ Y5 @ mactual )
                                                                & ( man @ Y5 @ mactual )
                                                                & ( fellow @ Y5 @ mactual )
                                                                & ~ ( qmltpeq @ Y5 @ Y6 @ mactual )
                                                                & ( in @ Y2 @ Y1 @ mactual )
                                                                & ( down @ Y2 @ Y3 @ mactual )
                                                                & ( barrel @ Y2 @ Y4 @ mactual )
                                                                & ( old @ Y4 @ mactual )
                                                                & ( dirty @ Y4 @ mactual )
                                                                & ( white @ Y4 @ mactual )
                                                                & ( car @ Y4 @ mactual )
                                                                & ( chevy @ Y4 @ mactual )
                                                                & ( lonely @ Y3 @ mactual )
                                                                & ( way @ Y3 @ mactual )
                                                                & ( street @ Y3 @ mactual )
                                                                & ( event @ Y2 @ mactual )
                                                                & ( city @ Y1 @ mactual )
                                                                & ( hollywood @ Y1 @ mactual )
                                                                & ( front @ Y0 @ mactual )
                                                                & ( furniture @ Y0 @ mactual )
                                                                & ( seat @ Y0 @ mactual )
                                                                & ( front @ X1 @ mactual )
                                                                & ( furniture @ X1 @ mactual )
                                                                & ( seat @ X1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f233]) ).

thf(f235,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 )
                                                                & ( in @ Y8 @ Y0 @ mactual )
                                                                & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                & ( in @ Y7 @ X1 @ mactual )
                                                                & ( qmltpeq @ Y5 @ Y7 @ mactual )
                                                                & ( young @ Y6 @ mactual )
                                                                & ( man @ Y6 @ mactual )
                                                                & ( fellow @ Y6 @ mactual )
                                                                & ( young @ Y5 @ mactual )
                                                                & ( man @ Y5 @ mactual )
                                                                & ( fellow @ Y5 @ mactual )
                                                                & ~ ( qmltpeq @ Y5 @ Y6 @ mactual )
                                                                & ( in @ Y2 @ Y1 @ mactual )
                                                                & ( down @ Y2 @ Y3 @ mactual )
                                                                & ( barrel @ Y2 @ Y4 @ mactual )
                                                                & ( old @ Y4 @ mactual )
                                                                & ( dirty @ Y4 @ mactual )
                                                                & ( white @ Y4 @ mactual )
                                                                & ( car @ Y4 @ mactual )
                                                                & ( chevy @ Y4 @ mactual )
                                                                & ( lonely @ Y3 @ mactual )
                                                                & ( way @ Y3 @ mactual )
                                                                & ( street @ Y3 @ mactual )
                                                                & ( event @ Y2 @ mactual )
                                                                & ( city @ Y1 @ mactual )
                                                                & ( hollywood @ Y1 @ mactual )
                                                                & ( front @ Y0 @ mactual )
                                                                & ( furniture @ Y0 @ mactual )
                                                                & ( seat @ Y0 @ mactual )
                                                                & ( front @ X1 @ mactual )
                                                                & ( furniture @ X1 @ mactual )
                                                                & ( seat @ X1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
            @ X2 ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(pi_proxy_clausification,[],[f234]) ).

thf(f237,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 )
                                                            & ( in @ Y7 @ X2 @ mactual )
                                                            & ( qmltpeq @ Y5 @ Y7 @ mactual )
                                                            & ( in @ Y6 @ X1 @ mactual )
                                                            & ( qmltpeq @ Y4 @ Y6 @ mactual )
                                                            & ( young @ Y5 @ mactual )
                                                            & ( man @ Y5 @ mactual )
                                                            & ( fellow @ Y5 @ mactual )
                                                            & ( young @ Y4 @ mactual )
                                                            & ( man @ Y4 @ mactual )
                                                            & ( fellow @ Y4 @ mactual )
                                                            & ~ ( qmltpeq @ Y4 @ Y5 @ mactual )
                                                            & ( in @ Y1 @ Y0 @ mactual )
                                                            & ( down @ Y1 @ Y2 @ mactual )
                                                            & ( barrel @ Y1 @ Y3 @ mactual )
                                                            & ( old @ Y3 @ mactual )
                                                            & ( dirty @ Y3 @ mactual )
                                                            & ( white @ Y3 @ mactual )
                                                            & ( car @ Y3 @ mactual )
                                                            & ( chevy @ Y3 @ mactual )
                                                            & ( lonely @ Y2 @ mactual )
                                                            & ( way @ Y2 @ mactual )
                                                            & ( street @ Y2 @ mactual )
                                                            & ( event @ Y1 @ mactual )
                                                            & ( city @ Y0 @ mactual )
                                                            & ( hollywood @ Y0 @ mactual )
                                                            & ( front @ X2 @ mactual )
                                                            & ( furniture @ X2 @ mactual )
                                                            & ( seat @ X2 @ mactual )
                                                            & ( front @ X1 @ mactual )
                                                            & ( furniture @ X1 @ mactual )
                                                            & ( seat @ X1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ~ spl0_1 ),
    inference(beta-eta_normalization,[],[f235]) ).

thf(f239,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 )
                                                          & ( in @ Y7 @ X2 @ mactual )
                                                          & ( qmltpeq @ Y5 @ Y7 @ mactual )
                                                          & ( in @ Y6 @ X1 @ mactual )
                                                          & ( qmltpeq @ Y4 @ Y6 @ mactual )
                                                          & ( young @ Y5 @ mactual )
                                                          & ( man @ Y5 @ mactual )
                                                          & ( fellow @ Y5 @ mactual )
                                                          & ( young @ Y4 @ mactual )
                                                          & ( man @ Y4 @ mactual )
                                                          & ( fellow @ Y4 @ mactual )
                                                          & ~ ( qmltpeq @ Y4 @ Y5 @ mactual )
                                                          & ( in @ Y1 @ Y0 @ mactual )
                                                          & ( down @ Y1 @ Y2 @ mactual )
                                                          & ( barrel @ Y1 @ Y3 @ mactual )
                                                          & ( old @ Y3 @ mactual )
                                                          & ( dirty @ Y3 @ mactual )
                                                          & ( white @ Y3 @ mactual )
                                                          & ( car @ Y3 @ mactual )
                                                          & ( chevy @ Y3 @ mactual )
                                                          & ( lonely @ Y2 @ mactual )
                                                          & ( way @ Y2 @ mactual )
                                                          & ( street @ Y2 @ mactual )
                                                          & ( event @ Y1 @ mactual )
                                                          & ( city @ Y0 @ mactual )
                                                          & ( hollywood @ Y0 @ mactual )
                                                          & ( front @ X2 @ mactual )
                                                          & ( furniture @ X2 @ mactual )
                                                          & ( seat @ X2 @ mactual )
                                                          & ( front @ X1 @ mactual )
                                                          & ( furniture @ X1 @ mactual )
                                                          & ( seat @ X1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f237]) ).

thf(f240,plain,
    ( ! [X2: $i,X3: $i,X1: $i] :
        ( ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( $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 )
                            & ( ?? @ $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 )
                                                          & ( in @ Y7 @ X2 @ mactual )
                                                          & ( qmltpeq @ Y5 @ Y7 @ mactual )
                                                          & ( in @ Y6 @ X1 @ mactual )
                                                          & ( qmltpeq @ Y4 @ Y6 @ mactual )
                                                          & ( young @ Y5 @ mactual )
                                                          & ( man @ Y5 @ mactual )
                                                          & ( fellow @ Y5 @ mactual )
                                                          & ( young @ Y4 @ mactual )
                                                          & ( man @ Y4 @ mactual )
                                                          & ( fellow @ Y4 @ mactual )
                                                          & ~ ( qmltpeq @ Y4 @ Y5 @ mactual )
                                                          & ( in @ Y1 @ Y0 @ mactual )
                                                          & ( down @ Y1 @ Y2 @ mactual )
                                                          & ( barrel @ Y1 @ Y3 @ mactual )
                                                          & ( old @ Y3 @ mactual )
                                                          & ( dirty @ Y3 @ mactual )
                                                          & ( white @ Y3 @ mactual )
                                                          & ( car @ Y3 @ mactual )
                                                          & ( chevy @ Y3 @ mactual )
                                                          & ( lonely @ Y2 @ mactual )
                                                          & ( way @ Y2 @ mactual )
                                                          & ( street @ Y2 @ mactual )
                                                          & ( event @ Y1 @ mactual )
                                                          & ( city @ Y0 @ mactual )
                                                          & ( hollywood @ Y0 @ mactual )
                                                          & ( front @ X2 @ mactual )
                                                          & ( furniture @ X2 @ mactual )
                                                          & ( seat @ X2 @ mactual )
                                                          & ( front @ X1 @ mactual )
                                                          & ( furniture @ X1 @ mactual )
                                                          & ( seat @ X1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
            @ X3 ) ) )
    | ~ spl0_1 ),
    inference(pi_proxy_clausification,[],[f239]) ).

thf(f243,plain,
    ( ! [X2: $i,X3: $i,X1: $i] :
        ( ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( $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 )
                                                      & ( in @ Y6 @ X2 @ mactual )
                                                      & ( qmltpeq @ Y4 @ Y6 @ mactual )
                                                      & ( in @ Y5 @ X1 @ mactual )
                                                      & ( qmltpeq @ Y3 @ Y5 @ mactual )
                                                      & ( young @ Y4 @ mactual )
                                                      & ( man @ Y4 @ mactual )
                                                      & ( fellow @ Y4 @ mactual )
                                                      & ( young @ Y3 @ mactual )
                                                      & ( man @ Y3 @ mactual )
                                                      & ( fellow @ Y3 @ mactual )
                                                      & ~ ( qmltpeq @ Y3 @ Y4 @ mactual )
                                                      & ( in @ Y0 @ X3 @ mactual )
                                                      & ( down @ Y0 @ Y1 @ mactual )
                                                      & ( barrel @ Y0 @ Y2 @ mactual )
                                                      & ( old @ Y2 @ mactual )
                                                      & ( dirty @ Y2 @ mactual )
                                                      & ( white @ Y2 @ mactual )
                                                      & ( car @ Y2 @ mactual )
                                                      & ( chevy @ Y2 @ mactual )
                                                      & ( lonely @ Y1 @ mactual )
                                                      & ( way @ Y1 @ mactual )
                                                      & ( street @ Y1 @ mactual )
                                                      & ( event @ Y0 @ mactual )
                                                      & ( city @ X3 @ mactual )
                                                      & ( hollywood @ X3 @ mactual )
                                                      & ( front @ X2 @ mactual )
                                                      & ( furniture @ X2 @ mactual )
                                                      & ( seat @ X2 @ mactual )
                                                      & ( front @ X1 @ mactual )
                                                      & ( furniture @ X1 @ mactual )
                                                      & ( seat @ X1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
          = $false ) )
    | ~ spl0_1 ),
    inference(beta-eta_normalization,[],[f240]) ).

thf(f244,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 )
                                                    & ( in @ Y6 @ X2 @ mactual )
                                                    & ( qmltpeq @ Y4 @ Y6 @ mactual )
                                                    & ( in @ Y5 @ X1 @ mactual )
                                                    & ( qmltpeq @ Y3 @ Y5 @ mactual )
                                                    & ( young @ Y4 @ mactual )
                                                    & ( man @ Y4 @ mactual )
                                                    & ( fellow @ Y4 @ mactual )
                                                    & ( young @ Y3 @ mactual )
                                                    & ( man @ Y3 @ mactual )
                                                    & ( fellow @ Y3 @ mactual )
                                                    & ~ ( qmltpeq @ Y3 @ Y4 @ mactual )
                                                    & ( in @ Y0 @ X3 @ mactual )
                                                    & ( down @ Y0 @ Y1 @ mactual )
                                                    & ( barrel @ Y0 @ Y2 @ mactual )
                                                    & ( old @ Y2 @ mactual )
                                                    & ( dirty @ Y2 @ mactual )
                                                    & ( white @ Y2 @ mactual )
                                                    & ( car @ Y2 @ mactual )
                                                    & ( chevy @ Y2 @ mactual )
                                                    & ( lonely @ Y1 @ mactual )
                                                    & ( way @ Y1 @ mactual )
                                                    & ( street @ Y1 @ mactual )
                                                    & ( event @ Y0 @ mactual )
                                                    & ( city @ X3 @ mactual )
                                                    & ( hollywood @ X3 @ mactual )
                                                    & ( front @ X2 @ mactual )
                                                    & ( furniture @ X2 @ mactual )
                                                    & ( seat @ X2 @ mactual )
                                                    & ( front @ X1 @ mactual )
                                                    & ( furniture @ X1 @ mactual )
                                                    & ( seat @ X1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f243]) ).

thf(f245,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X4: $i] :
        ( ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X2 @ 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 )
                                                    & ( in @ Y6 @ X2 @ mactual )
                                                    & ( qmltpeq @ Y4 @ Y6 @ mactual )
                                                    & ( in @ Y5 @ X1 @ mactual )
                                                    & ( qmltpeq @ Y3 @ Y5 @ mactual )
                                                    & ( young @ Y4 @ mactual )
                                                    & ( man @ Y4 @ mactual )
                                                    & ( fellow @ Y4 @ mactual )
                                                    & ( young @ Y3 @ mactual )
                                                    & ( man @ Y3 @ mactual )
                                                    & ( fellow @ Y3 @ mactual )
                                                    & ~ ( qmltpeq @ Y3 @ Y4 @ mactual )
                                                    & ( in @ Y0 @ X3 @ mactual )
                                                    & ( down @ Y0 @ Y1 @ mactual )
                                                    & ( barrel @ Y0 @ Y2 @ mactual )
                                                    & ( old @ Y2 @ mactual )
                                                    & ( dirty @ Y2 @ mactual )
                                                    & ( white @ Y2 @ mactual )
                                                    & ( car @ Y2 @ mactual )
                                                    & ( chevy @ Y2 @ mactual )
                                                    & ( lonely @ Y1 @ mactual )
                                                    & ( way @ Y1 @ mactual )
                                                    & ( street @ Y1 @ mactual )
                                                    & ( event @ Y0 @ mactual )
                                                    & ( city @ X3 @ mactual )
                                                    & ( hollywood @ X3 @ mactual )
                                                    & ( front @ X2 @ mactual )
                                                    & ( furniture @ X2 @ mactual )
                                                    & ( seat @ X2 @ mactual )
                                                    & ( front @ X1 @ mactual )
                                                    & ( furniture @ X1 @ mactual )
                                                    & ( seat @ X1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) )
            @ X4 )
          = $false ) )
    | ~ spl0_1 ),
    inference(pi_proxy_clausification,[],[f244]) ).

thf(f248,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X4: $i] :
        ( ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( $false
          = ( ( 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 )
                                                & ( in @ Y5 @ X2 @ mactual )
                                                & ( qmltpeq @ Y3 @ Y5 @ mactual )
                                                & ( in @ Y4 @ X1 @ mactual )
                                                & ( qmltpeq @ Y2 @ Y4 @ mactual )
                                                & ( young @ Y3 @ mactual )
                                                & ( man @ Y3 @ mactual )
                                                & ( fellow @ Y3 @ mactual )
                                                & ( young @ Y2 @ mactual )
                                                & ( man @ Y2 @ mactual )
                                                & ( fellow @ Y2 @ mactual )
                                                & ~ ( qmltpeq @ Y2 @ Y3 @ mactual )
                                                & ( in @ X4 @ X3 @ mactual )
                                                & ( down @ X4 @ Y0 @ mactual )
                                                & ( barrel @ X4 @ Y1 @ mactual )
                                                & ( old @ Y1 @ mactual )
                                                & ( dirty @ Y1 @ mactual )
                                                & ( white @ Y1 @ mactual )
                                                & ( car @ Y1 @ mactual )
                                                & ( chevy @ Y1 @ mactual )
                                                & ( lonely @ Y0 @ mactual )
                                                & ( way @ Y0 @ mactual )
                                                & ( street @ Y0 @ mactual )
                                                & ( event @ X4 @ mactual )
                                                & ( city @ X3 @ mactual )
                                                & ( hollywood @ X3 @ mactual )
                                                & ( front @ X2 @ mactual )
                                                & ( furniture @ X2 @ mactual )
                                                & ( seat @ X2 @ mactual )
                                                & ( front @ X1 @ mactual )
                                                & ( furniture @ X1 @ mactual )
                                                & ( seat @ X1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(beta-eta_normalization,[],[f245]) ).

thf(f249,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 )
                                              & ( in @ Y5 @ X2 @ mactual )
                                              & ( qmltpeq @ Y3 @ Y5 @ mactual )
                                              & ( in @ Y4 @ X1 @ mactual )
                                              & ( qmltpeq @ Y2 @ Y4 @ mactual )
                                              & ( young @ Y3 @ mactual )
                                              & ( man @ Y3 @ mactual )
                                              & ( fellow @ Y3 @ mactual )
                                              & ( young @ Y2 @ mactual )
                                              & ( man @ Y2 @ mactual )
                                              & ( fellow @ Y2 @ mactual )
                                              & ~ ( qmltpeq @ Y2 @ Y3 @ mactual )
                                              & ( in @ X4 @ X3 @ mactual )
                                              & ( down @ X4 @ Y0 @ mactual )
                                              & ( barrel @ X4 @ Y1 @ mactual )
                                              & ( old @ Y1 @ mactual )
                                              & ( dirty @ Y1 @ mactual )
                                              & ( white @ Y1 @ mactual )
                                              & ( car @ Y1 @ mactual )
                                              & ( chevy @ Y1 @ mactual )
                                              & ( lonely @ Y0 @ mactual )
                                              & ( way @ Y0 @ mactual )
                                              & ( street @ Y0 @ mactual )
                                              & ( event @ X4 @ mactual )
                                              & ( city @ X3 @ mactual )
                                              & ( hollywood @ X3 @ mactual )
                                              & ( front @ X2 @ mactual )
                                              & ( furniture @ X2 @ mactual )
                                              & ( seat @ X2 @ mactual )
                                              & ( front @ X1 @ mactual )
                                              & ( furniture @ X1 @ mactual )
                                              & ( seat @ X1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f248]) ).

thf(f250,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X4: $i,X5: $i] :
        ( ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( $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 )
                                              & ( in @ Y5 @ X2 @ mactual )
                                              & ( qmltpeq @ Y3 @ Y5 @ mactual )
                                              & ( in @ Y4 @ X1 @ mactual )
                                              & ( qmltpeq @ Y2 @ Y4 @ mactual )
                                              & ( young @ Y3 @ mactual )
                                              & ( man @ Y3 @ mactual )
                                              & ( fellow @ Y3 @ mactual )
                                              & ( young @ Y2 @ mactual )
                                              & ( man @ Y2 @ mactual )
                                              & ( fellow @ Y2 @ mactual )
                                              & ~ ( qmltpeq @ Y2 @ Y3 @ mactual )
                                              & ( in @ X4 @ X3 @ mactual )
                                              & ( down @ X4 @ Y0 @ mactual )
                                              & ( barrel @ X4 @ Y1 @ mactual )
                                              & ( old @ Y1 @ mactual )
                                              & ( dirty @ Y1 @ mactual )
                                              & ( white @ Y1 @ mactual )
                                              & ( car @ Y1 @ mactual )
                                              & ( chevy @ Y1 @ mactual )
                                              & ( lonely @ Y0 @ mactual )
                                              & ( way @ Y0 @ mactual )
                                              & ( street @ Y0 @ mactual )
                                              & ( event @ X4 @ mactual )
                                              & ( city @ X3 @ mactual )
                                              & ( hollywood @ X3 @ mactual )
                                              & ( front @ X2 @ mactual )
                                              & ( furniture @ X2 @ mactual )
                                              & ( seat @ X2 @ mactual )
                                              & ( front @ X1 @ mactual )
                                              & ( furniture @ X1 @ mactual )
                                              & ( seat @ X1 @ mactual ) ) ) ) ) ) ) ) ) ) ) )
            @ X5 )
          = $false ) )
    | ~ spl0_1 ),
    inference(pi_proxy_clausification,[],[f249]) ).

thf(f252,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 )
                                          & ( in @ Y4 @ X2 @ mactual )
                                          & ( qmltpeq @ Y2 @ Y4 @ mactual )
                                          & ( in @ Y3 @ X1 @ mactual )
                                          & ( qmltpeq @ Y1 @ Y3 @ mactual )
                                          & ( young @ Y2 @ mactual )
                                          & ( man @ Y2 @ mactual )
                                          & ( fellow @ Y2 @ mactual )
                                          & ( young @ Y1 @ mactual )
                                          & ( man @ Y1 @ mactual )
                                          & ( fellow @ Y1 @ mactual )
                                          & ~ ( qmltpeq @ Y1 @ Y2 @ mactual )
                                          & ( in @ X4 @ X3 @ mactual )
                                          & ( down @ X4 @ X5 @ mactual )
                                          & ( barrel @ X4 @ Y0 @ mactual )
                                          & ( old @ Y0 @ mactual )
                                          & ( dirty @ Y0 @ mactual )
                                          & ( white @ Y0 @ mactual )
                                          & ( car @ Y0 @ mactual )
                                          & ( chevy @ Y0 @ mactual )
                                          & ( lonely @ X5 @ mactual )
                                          & ( way @ X5 @ mactual )
                                          & ( street @ X5 @ mactual )
                                          & ( event @ X4 @ mactual )
                                          & ( city @ X3 @ mactual )
                                          & ( hollywood @ X3 @ mactual )
                                          & ( front @ X2 @ mactual )
                                          & ( furniture @ X2 @ mactual )
                                          & ( seat @ X2 @ mactual )
                                          & ( front @ X1 @ mactual )
                                          & ( furniture @ X1 @ mactual )
                                          & ( seat @ X1 @ mactual ) ) ) ) ) ) ) ) ) ) ) )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(beta-eta_normalization,[],[f250]) ).

thf(f254,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 )
                                        & ( in @ Y4 @ X2 @ mactual )
                                        & ( qmltpeq @ Y2 @ Y4 @ mactual )
                                        & ( in @ Y3 @ X1 @ mactual )
                                        & ( qmltpeq @ Y1 @ Y3 @ mactual )
                                        & ( young @ Y2 @ mactual )
                                        & ( man @ Y2 @ mactual )
                                        & ( fellow @ Y2 @ mactual )
                                        & ( young @ Y1 @ mactual )
                                        & ( man @ Y1 @ mactual )
                                        & ( fellow @ Y1 @ mactual )
                                        & ~ ( qmltpeq @ Y1 @ Y2 @ mactual )
                                        & ( in @ X4 @ X3 @ mactual )
                                        & ( down @ X4 @ X5 @ mactual )
                                        & ( barrel @ X4 @ Y0 @ mactual )
                                        & ( old @ Y0 @ mactual )
                                        & ( dirty @ Y0 @ mactual )
                                        & ( white @ Y0 @ mactual )
                                        & ( car @ Y0 @ mactual )
                                        & ( chevy @ Y0 @ mactual )
                                        & ( lonely @ X5 @ mactual )
                                        & ( way @ X5 @ mactual )
                                        & ( street @ X5 @ mactual )
                                        & ( event @ X4 @ mactual )
                                        & ( city @ X3 @ mactual )
                                        & ( hollywood @ X3 @ mactual )
                                        & ( front @ X2 @ mactual )
                                        & ( furniture @ X2 @ mactual )
                                        & ( seat @ X2 @ mactual )
                                        & ( front @ X1 @ mactual )
                                        & ( furniture @ X1 @ mactual )
                                        & ( seat @ X1 @ mactual ) ) ) ) ) ) ) ) ) ) )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f252]) ).

thf(f255,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X6: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( 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 )
                                  & ( ?? @ $i
                                    @ ^ [Y4: $i] :
                                        ( ( eiw_di @ Y4 @ mactual )
                                        & ( in @ Y4 @ X2 @ mactual )
                                        & ( qmltpeq @ Y2 @ Y4 @ mactual )
                                        & ( in @ Y3 @ X1 @ mactual )
                                        & ( qmltpeq @ Y1 @ Y3 @ mactual )
                                        & ( young @ Y2 @ mactual )
                                        & ( man @ Y2 @ mactual )
                                        & ( fellow @ Y2 @ mactual )
                                        & ( young @ Y1 @ mactual )
                                        & ( man @ Y1 @ mactual )
                                        & ( fellow @ Y1 @ mactual )
                                        & ~ ( qmltpeq @ Y1 @ Y2 @ mactual )
                                        & ( in @ X4 @ X3 @ mactual )
                                        & ( down @ X4 @ X5 @ mactual )
                                        & ( barrel @ X4 @ Y0 @ mactual )
                                        & ( old @ Y0 @ mactual )
                                        & ( dirty @ Y0 @ mactual )
                                        & ( white @ Y0 @ mactual )
                                        & ( car @ Y0 @ mactual )
                                        & ( chevy @ Y0 @ mactual )
                                        & ( lonely @ X5 @ mactual )
                                        & ( way @ X5 @ mactual )
                                        & ( street @ X5 @ mactual )
                                        & ( event @ X4 @ mactual )
                                        & ( city @ X3 @ mactual )
                                        & ( hollywood @ X3 @ mactual )
                                        & ( front @ X2 @ mactual )
                                        & ( furniture @ X2 @ mactual )
                                        & ( seat @ X2 @ mactual )
                                        & ( front @ X1 @ mactual )
                                        & ( furniture @ X1 @ mactual )
                                        & ( seat @ X1 @ mactual ) ) ) ) ) ) ) ) ) )
            @ X6 )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(pi_proxy_clausification,[],[f254]) ).

thf(f258,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X6: $i,X4: $i,X5: $i] :
        ( ( ( ( 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 )
                                    & ( in @ Y3 @ X2 @ mactual )
                                    & ( qmltpeq @ Y1 @ Y3 @ mactual )
                                    & ( in @ Y2 @ X1 @ mactual )
                                    & ( qmltpeq @ Y0 @ Y2 @ mactual )
                                    & ( young @ Y1 @ mactual )
                                    & ( man @ Y1 @ mactual )
                                    & ( fellow @ Y1 @ mactual )
                                    & ( young @ Y0 @ mactual )
                                    & ( man @ Y0 @ mactual )
                                    & ( fellow @ Y0 @ mactual )
                                    & ~ ( qmltpeq @ Y0 @ Y1 @ mactual )
                                    & ( in @ X4 @ X3 @ mactual )
                                    & ( down @ X4 @ X5 @ mactual )
                                    & ( barrel @ X4 @ X6 @ mactual )
                                    & ( old @ X6 @ mactual )
                                    & ( dirty @ X6 @ mactual )
                                    & ( white @ X6 @ mactual )
                                    & ( car @ X6 @ mactual )
                                    & ( chevy @ X6 @ mactual )
                                    & ( lonely @ X5 @ mactual )
                                    & ( way @ X5 @ mactual )
                                    & ( street @ X5 @ mactual )
                                    & ( event @ X4 @ mactual )
                                    & ( city @ X3 @ mactual )
                                    & ( hollywood @ X3 @ mactual )
                                    & ( front @ X2 @ mactual )
                                    & ( furniture @ X2 @ mactual )
                                    & ( seat @ X2 @ mactual )
                                    & ( front @ X1 @ mactual )
                                    & ( furniture @ X1 @ mactual )
                                    & ( seat @ X1 @ mactual ) ) ) ) ) ) ) ) ) )
          = $false )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(beta-eta_normalization,[],[f255]) ).

thf(f259,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 )
                                  & ( in @ Y3 @ X2 @ mactual )
                                  & ( qmltpeq @ Y1 @ Y3 @ mactual )
                                  & ( in @ Y2 @ X1 @ mactual )
                                  & ( qmltpeq @ Y0 @ Y2 @ mactual )
                                  & ( young @ Y1 @ mactual )
                                  & ( man @ Y1 @ mactual )
                                  & ( fellow @ Y1 @ mactual )
                                  & ( young @ Y0 @ mactual )
                                  & ( man @ Y0 @ mactual )
                                  & ( fellow @ Y0 @ mactual )
                                  & ~ ( qmltpeq @ Y0 @ Y1 @ mactual )
                                  & ( in @ X4 @ X3 @ mactual )
                                  & ( down @ X4 @ X5 @ mactual )
                                  & ( barrel @ X4 @ X6 @ mactual )
                                  & ( old @ X6 @ mactual )
                                  & ( dirty @ X6 @ mactual )
                                  & ( white @ X6 @ mactual )
                                  & ( car @ X6 @ mactual )
                                  & ( chevy @ X6 @ mactual )
                                  & ( lonely @ X5 @ mactual )
                                  & ( way @ X5 @ mactual )
                                  & ( street @ X5 @ mactual )
                                  & ( event @ X4 @ mactual )
                                  & ( city @ X3 @ mactual )
                                  & ( hollywood @ X3 @ mactual )
                                  & ( front @ X2 @ mactual )
                                  & ( furniture @ X2 @ mactual )
                                  & ( seat @ X2 @ mactual )
                                  & ( front @ X1 @ mactual )
                                  & ( furniture @ X1 @ mactual )
                                  & ( seat @ X1 @ mactual ) ) ) ) ) ) ) ) )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f258]) ).

thf(f260,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( ( 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 )
                                  & ( in @ Y3 @ X2 @ mactual )
                                  & ( qmltpeq @ Y1 @ Y3 @ mactual )
                                  & ( in @ Y2 @ X1 @ mactual )
                                  & ( qmltpeq @ Y0 @ Y2 @ mactual )
                                  & ( young @ Y1 @ mactual )
                                  & ( man @ Y1 @ mactual )
                                  & ( fellow @ Y1 @ mactual )
                                  & ( young @ Y0 @ mactual )
                                  & ( man @ Y0 @ mactual )
                                  & ( fellow @ Y0 @ mactual )
                                  & ~ ( qmltpeq @ Y0 @ Y1 @ mactual )
                                  & ( in @ X4 @ X3 @ mactual )
                                  & ( down @ X4 @ X5 @ mactual )
                                  & ( barrel @ X4 @ X6 @ mactual )
                                  & ( old @ X6 @ mactual )
                                  & ( dirty @ X6 @ mactual )
                                  & ( white @ X6 @ mactual )
                                  & ( car @ X6 @ mactual )
                                  & ( chevy @ X6 @ mactual )
                                  & ( lonely @ X5 @ mactual )
                                  & ( way @ X5 @ mactual )
                                  & ( street @ X5 @ mactual )
                                  & ( event @ X4 @ mactual )
                                  & ( city @ X3 @ mactual )
                                  & ( hollywood @ X3 @ mactual )
                                  & ( front @ X2 @ mactual )
                                  & ( furniture @ X2 @ mactual )
                                  & ( seat @ X2 @ mactual )
                                  & ( front @ X1 @ mactual )
                                  & ( furniture @ X1 @ mactual )
                                  & ( seat @ X1 @ mactual ) ) ) ) ) ) ) )
            @ X7 )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(pi_proxy_clausification,[],[f259]) ).

thf(f263,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X2 @ 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 )
                              & ( in @ Y2 @ X2 @ mactual )
                              & ( qmltpeq @ Y0 @ Y2 @ mactual )
                              & ( in @ Y1 @ X1 @ mactual )
                              & ( qmltpeq @ X7 @ Y1 @ mactual )
                              & ( young @ Y0 @ mactual )
                              & ( man @ Y0 @ mactual )
                              & ( fellow @ Y0 @ mactual )
                              & ( young @ X7 @ mactual )
                              & ( man @ X7 @ mactual )
                              & ( fellow @ X7 @ mactual )
                              & ~ ( qmltpeq @ X7 @ Y0 @ mactual )
                              & ( in @ X4 @ X3 @ mactual )
                              & ( down @ X4 @ X5 @ mactual )
                              & ( barrel @ X4 @ X6 @ mactual )
                              & ( old @ X6 @ mactual )
                              & ( dirty @ X6 @ mactual )
                              & ( white @ X6 @ mactual )
                              & ( car @ X6 @ mactual )
                              & ( chevy @ X6 @ mactual )
                              & ( lonely @ X5 @ mactual )
                              & ( way @ X5 @ mactual )
                              & ( street @ X5 @ mactual )
                              & ( event @ X4 @ mactual )
                              & ( city @ X3 @ mactual )
                              & ( hollywood @ X3 @ mactual )
                              & ( front @ X2 @ mactual )
                              & ( furniture @ X2 @ mactual )
                              & ( seat @ X2 @ mactual )
                              & ( front @ X1 @ mactual )
                              & ( furniture @ X1 @ mactual )
                              & ( seat @ X1 @ mactual ) ) ) ) ) ) ) )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(beta-eta_normalization,[],[f260]) ).

thf(f264,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X6: $i,X7: $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 )
                            & ( in @ Y2 @ X2 @ mactual )
                            & ( qmltpeq @ Y0 @ Y2 @ mactual )
                            & ( in @ Y1 @ X1 @ mactual )
                            & ( qmltpeq @ X7 @ Y1 @ mactual )
                            & ( young @ Y0 @ mactual )
                            & ( man @ Y0 @ mactual )
                            & ( fellow @ Y0 @ mactual )
                            & ( young @ X7 @ mactual )
                            & ( man @ X7 @ mactual )
                            & ( fellow @ X7 @ mactual )
                            & ~ ( qmltpeq @ X7 @ Y0 @ mactual )
                            & ( in @ X4 @ X3 @ mactual )
                            & ( down @ X4 @ X5 @ mactual )
                            & ( barrel @ X4 @ X6 @ mactual )
                            & ( old @ X6 @ mactual )
                            & ( dirty @ X6 @ mactual )
                            & ( white @ X6 @ mactual )
                            & ( car @ X6 @ mactual )
                            & ( chevy @ X6 @ mactual )
                            & ( lonely @ X5 @ mactual )
                            & ( way @ X5 @ mactual )
                            & ( street @ X5 @ mactual )
                            & ( event @ X4 @ mactual )
                            & ( city @ X3 @ mactual )
                            & ( hollywood @ X3 @ mactual )
                            & ( front @ X2 @ mactual )
                            & ( furniture @ X2 @ mactual )
                            & ( seat @ X2 @ mactual )
                            & ( front @ X1 @ mactual )
                            & ( furniture @ X1 @ mactual )
                            & ( seat @ X1 @ mactual ) ) ) ) ) ) ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f263]) ).

thf(f265,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( ( 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 )
                            & ( in @ Y2 @ X2 @ mactual )
                            & ( qmltpeq @ Y0 @ Y2 @ mactual )
                            & ( in @ Y1 @ X1 @ mactual )
                            & ( qmltpeq @ X7 @ Y1 @ mactual )
                            & ( young @ Y0 @ mactual )
                            & ( man @ Y0 @ mactual )
                            & ( fellow @ Y0 @ mactual )
                            & ( young @ X7 @ mactual )
                            & ( man @ X7 @ mactual )
                            & ( fellow @ X7 @ mactual )
                            & ~ ( qmltpeq @ X7 @ Y0 @ mactual )
                            & ( in @ X4 @ X3 @ mactual )
                            & ( down @ X4 @ X5 @ mactual )
                            & ( barrel @ X4 @ X6 @ mactual )
                            & ( old @ X6 @ mactual )
                            & ( dirty @ X6 @ mactual )
                            & ( white @ X6 @ mactual )
                            & ( car @ X6 @ mactual )
                            & ( chevy @ X6 @ mactual )
                            & ( lonely @ X5 @ mactual )
                            & ( way @ X5 @ mactual )
                            & ( street @ X5 @ mactual )
                            & ( event @ X4 @ mactual )
                            & ( city @ X3 @ mactual )
                            & ( hollywood @ X3 @ mactual )
                            & ( front @ X2 @ mactual )
                            & ( furniture @ X2 @ mactual )
                            & ( seat @ X2 @ mactual )
                            & ( front @ X1 @ mactual )
                            & ( furniture @ X1 @ mactual )
                            & ( seat @ X1 @ mactual ) ) ) ) ) )
            @ X8 )
          = $false ) )
    | ~ spl0_1 ),
    inference(pi_proxy_clausification,[],[f264]) ).

thf(f268,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( ( eiw_di @ X8 @ mactual )
            & ( ?? @ $i
              @ ^ [Y0: $i] :
                  ( ( eiw_di @ Y0 @ mactual )
                  & ( ?? @ $i
                    @ ^ [Y1: $i] :
                        ( ( eiw_di @ Y1 @ mactual )
                        & ( in @ Y1 @ X2 @ mactual )
                        & ( qmltpeq @ X8 @ Y1 @ mactual )
                        & ( in @ Y0 @ X1 @ mactual )
                        & ( qmltpeq @ X7 @ Y0 @ mactual )
                        & ( young @ X8 @ mactual )
                        & ( man @ X8 @ mactual )
                        & ( fellow @ X8 @ mactual )
                        & ( young @ X7 @ mactual )
                        & ( man @ X7 @ mactual )
                        & ( fellow @ X7 @ mactual )
                        & ~ ( qmltpeq @ X7 @ X8 @ mactual )
                        & ( in @ X4 @ X3 @ mactual )
                        & ( down @ X4 @ X5 @ mactual )
                        & ( barrel @ X4 @ X6 @ mactual )
                        & ( old @ X6 @ mactual )
                        & ( dirty @ X6 @ mactual )
                        & ( white @ X6 @ mactual )
                        & ( car @ X6 @ mactual )
                        & ( chevy @ X6 @ mactual )
                        & ( lonely @ X5 @ mactual )
                        & ( way @ X5 @ mactual )
                        & ( street @ X5 @ mactual )
                        & ( event @ X4 @ mactual )
                        & ( city @ X3 @ mactual )
                        & ( hollywood @ X3 @ mactual )
                        & ( front @ X2 @ mactual )
                        & ( furniture @ X2 @ mactual )
                        & ( seat @ X2 @ mactual )
                        & ( front @ X1 @ mactual )
                        & ( furniture @ X1 @ mactual )
                        & ( seat @ X1 @ mactual ) ) ) ) ) )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(beta-eta_normalization,[],[f265]) ).

thf(f269,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 )
                      & ( in @ Y1 @ X2 @ mactual )
                      & ( qmltpeq @ X8 @ Y1 @ mactual )
                      & ( in @ Y0 @ X1 @ mactual )
                      & ( qmltpeq @ X7 @ Y0 @ mactual )
                      & ( young @ X8 @ mactual )
                      & ( man @ X8 @ mactual )
                      & ( fellow @ X8 @ mactual )
                      & ( young @ X7 @ mactual )
                      & ( man @ X7 @ mactual )
                      & ( fellow @ X7 @ mactual )
                      & ~ ( qmltpeq @ X7 @ X8 @ mactual )
                      & ( in @ X4 @ X3 @ mactual )
                      & ( down @ X4 @ X5 @ mactual )
                      & ( barrel @ X4 @ X6 @ mactual )
                      & ( old @ X6 @ mactual )
                      & ( dirty @ X6 @ mactual )
                      & ( white @ X6 @ mactual )
                      & ( car @ X6 @ mactual )
                      & ( chevy @ X6 @ mactual )
                      & ( lonely @ X5 @ mactual )
                      & ( way @ X5 @ mactual )
                      & ( street @ X5 @ mactual )
                      & ( event @ X4 @ mactual )
                      & ( city @ X3 @ mactual )
                      & ( hollywood @ X3 @ mactual )
                      & ( front @ X2 @ mactual )
                      & ( furniture @ X2 @ mactual )
                      & ( seat @ X2 @ mactual )
                      & ( front @ X1 @ mactual )
                      & ( furniture @ X1 @ mactual )
                      & ( seat @ X1 @ mactual ) ) ) ) ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f268]) ).

thf(f270,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ mactual )
                & ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ mactual )
                      & ( in @ Y1 @ X2 @ mactual )
                      & ( qmltpeq @ X8 @ Y1 @ mactual )
                      & ( in @ Y0 @ X1 @ mactual )
                      & ( qmltpeq @ X7 @ Y0 @ mactual )
                      & ( young @ X8 @ mactual )
                      & ( man @ X8 @ mactual )
                      & ( fellow @ X8 @ mactual )
                      & ( young @ X7 @ mactual )
                      & ( man @ X7 @ mactual )
                      & ( fellow @ X7 @ mactual )
                      & ~ ( qmltpeq @ X7 @ X8 @ mactual )
                      & ( in @ X4 @ X3 @ mactual )
                      & ( down @ X4 @ X5 @ mactual )
                      & ( barrel @ X4 @ X6 @ mactual )
                      & ( old @ X6 @ mactual )
                      & ( dirty @ X6 @ mactual )
                      & ( white @ X6 @ mactual )
                      & ( car @ X6 @ mactual )
                      & ( chevy @ X6 @ mactual )
                      & ( lonely @ X5 @ mactual )
                      & ( way @ X5 @ mactual )
                      & ( street @ X5 @ mactual )
                      & ( event @ X4 @ mactual )
                      & ( city @ X3 @ mactual )
                      & ( hollywood @ X3 @ mactual )
                      & ( front @ X2 @ mactual )
                      & ( furniture @ X2 @ mactual )
                      & ( seat @ X2 @ mactual )
                      & ( front @ X1 @ mactual )
                      & ( furniture @ X1 @ mactual )
                      & ( seat @ X1 @ mactual ) ) ) )
            @ X9 )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(pi_proxy_clausification,[],[f269]) ).

thf(f273,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( ( ( eiw_di @ X9 @ mactual )
            & ( ?? @ $i
              @ ^ [Y0: $i] :
                  ( ( eiw_di @ Y0 @ mactual )
                  & ( in @ Y0 @ X2 @ mactual )
                  & ( qmltpeq @ X8 @ Y0 @ mactual )
                  & ( in @ X9 @ X1 @ mactual )
                  & ( qmltpeq @ X7 @ X9 @ mactual )
                  & ( young @ X8 @ mactual )
                  & ( man @ X8 @ mactual )
                  & ( fellow @ X8 @ mactual )
                  & ( young @ X7 @ mactual )
                  & ( man @ X7 @ mactual )
                  & ( fellow @ X7 @ mactual )
                  & ~ ( qmltpeq @ X7 @ X8 @ mactual )
                  & ( in @ X4 @ X3 @ mactual )
                  & ( down @ X4 @ X5 @ mactual )
                  & ( barrel @ X4 @ X6 @ mactual )
                  & ( old @ X6 @ mactual )
                  & ( dirty @ X6 @ mactual )
                  & ( white @ X6 @ mactual )
                  & ( car @ X6 @ mactual )
                  & ( chevy @ X6 @ mactual )
                  & ( lonely @ X5 @ mactual )
                  & ( way @ X5 @ mactual )
                  & ( street @ X5 @ mactual )
                  & ( event @ X4 @ mactual )
                  & ( city @ X3 @ mactual )
                  & ( hollywood @ X3 @ mactual )
                  & ( front @ X2 @ mactual )
                  & ( furniture @ X2 @ mactual )
                  & ( seat @ X2 @ mactual )
                  & ( front @ X1 @ mactual )
                  & ( furniture @ X1 @ mactual )
                  & ( seat @ X1 @ mactual ) ) ) )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(beta-eta_normalization,[],[f270]) ).

thf(f274,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 )
                & ( in @ Y0 @ X2 @ mactual )
                & ( qmltpeq @ X8 @ Y0 @ mactual )
                & ( in @ X9 @ X1 @ mactual )
                & ( qmltpeq @ X7 @ X9 @ mactual )
                & ( young @ X8 @ mactual )
                & ( man @ X8 @ mactual )
                & ( fellow @ X8 @ mactual )
                & ( young @ X7 @ mactual )
                & ( man @ X7 @ mactual )
                & ( fellow @ X7 @ mactual )
                & ~ ( qmltpeq @ X7 @ X8 @ mactual )
                & ( in @ X4 @ X3 @ mactual )
                & ( down @ X4 @ X5 @ mactual )
                & ( barrel @ X4 @ X6 @ mactual )
                & ( old @ X6 @ mactual )
                & ( dirty @ X6 @ mactual )
                & ( white @ X6 @ mactual )
                & ( car @ X6 @ mactual )
                & ( chevy @ X6 @ mactual )
                & ( lonely @ X5 @ mactual )
                & ( way @ X5 @ mactual )
                & ( street @ X5 @ mactual )
                & ( event @ X4 @ mactual )
                & ( city @ X3 @ mactual )
                & ( hollywood @ X3 @ mactual )
                & ( front @ X2 @ mactual )
                & ( furniture @ X2 @ mactual )
                & ( seat @ X2 @ mactual )
                & ( front @ X1 @ mactual )
                & ( furniture @ X1 @ mactual )
                & ( seat @ X1 @ mactual ) ) )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X9 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f273]) ).

thf(f275,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ mactual )
                & ( in @ Y0 @ X2 @ mactual )
                & ( qmltpeq @ X8 @ Y0 @ mactual )
                & ( in @ X9 @ X1 @ mactual )
                & ( qmltpeq @ X7 @ X9 @ mactual )
                & ( young @ X8 @ mactual )
                & ( man @ X8 @ mactual )
                & ( fellow @ X8 @ mactual )
                & ( young @ X7 @ mactual )
                & ( man @ X7 @ mactual )
                & ( fellow @ X7 @ mactual )
                & ~ ( qmltpeq @ X7 @ X8 @ mactual )
                & ( in @ X4 @ X3 @ mactual )
                & ( down @ X4 @ X5 @ mactual )
                & ( barrel @ X4 @ X6 @ mactual )
                & ( old @ X6 @ mactual )
                & ( dirty @ X6 @ mactual )
                & ( white @ X6 @ mactual )
                & ( car @ X6 @ mactual )
                & ( chevy @ X6 @ mactual )
                & ( lonely @ X5 @ mactual )
                & ( way @ X5 @ mactual )
                & ( street @ X5 @ mactual )
                & ( event @ X4 @ mactual )
                & ( city @ X3 @ mactual )
                & ( hollywood @ X3 @ mactual )
                & ( front @ X2 @ mactual )
                & ( furniture @ X2 @ mactual )
                & ( seat @ X2 @ mactual )
                & ( front @ X1 @ mactual )
                & ( furniture @ X1 @ mactual )
                & ( seat @ X1 @ mactual ) )
            @ X10 )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X9 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(pi_proxy_clausification,[],[f274]) ).

thf(f278,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( eiw_di @ X9 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( ( ( eiw_di @ X10 @ mactual )
            & ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( young @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( young @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ( down @ X4 @ X5 @ mactual )
            & ( barrel @ X4 @ X6 @ mactual )
            & ( old @ X6 @ mactual )
            & ( dirty @ X6 @ mactual )
            & ( white @ X6 @ mactual )
            & ( car @ X6 @ mactual )
            & ( chevy @ X6 @ mactual )
            & ( lonely @ X5 @ mactual )
            & ( way @ X5 @ mactual )
            & ( street @ X5 @ mactual )
            & ( event @ X4 @ mactual )
            & ( city @ X3 @ mactual )
            & ( hollywood @ X3 @ mactual )
            & ( front @ X2 @ mactual )
            & ( furniture @ X2 @ mactual )
            & ( seat @ X2 @ mactual )
            & ( front @ X1 @ mactual )
            & ( furniture @ X1 @ mactual )
            & ( seat @ X1 @ mactual ) )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(beta-eta_normalization,[],[f275]) ).

thf(f279,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 ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( young @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( young @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ( down @ X4 @ X5 @ mactual )
            & ( barrel @ X4 @ X6 @ mactual )
            & ( old @ X6 @ mactual )
            & ( dirty @ X6 @ mactual )
            & ( white @ X6 @ mactual )
            & ( car @ X6 @ mactual )
            & ( chevy @ X6 @ mactual )
            & ( lonely @ X5 @ mactual )
            & ( way @ X5 @ mactual )
            & ( street @ X5 @ mactual )
            & ( event @ X4 @ mactual )
            & ( city @ X3 @ mactual )
            & ( hollywood @ X3 @ mactual )
            & ( front @ X2 @ mactual )
            & ( furniture @ X2 @ mactual )
            & ( seat @ X2 @ mactual )
            & ( front @ X1 @ mactual )
            & ( furniture @ X1 @ mactual )
            & ( seat @ X1 @ mactual ) ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X10 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X9 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f278]) ).

thf(f280,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( eiw_di @ X9 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X10 @ mactual ) )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( young @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( young @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ( down @ X4 @ X5 @ mactual )
            & ( barrel @ X4 @ X6 @ mactual )
            & ( old @ X6 @ mactual )
            & ( dirty @ X6 @ mactual )
            & ( white @ X6 @ mactual )
            & ( car @ X6 @ mactual )
            & ( chevy @ X6 @ mactual )
            & ( lonely @ X5 @ mactual )
            & ( way @ X5 @ mactual )
            & ( street @ X5 @ mactual )
            & ( event @ X4 @ mactual )
            & ( city @ X3 @ mactual )
            & ( hollywood @ X3 @ mactual )
            & ( front @ X2 @ mactual )
            & ( furniture @ X2 @ mactual )
            & ( seat @ X2 @ mactual )
            & ( front @ X1 @ mactual )
            & ( furniture @ X1 @ mactual ) ) )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f279]) ).

thf(f281,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( eiw_di @ X9 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X10 @ mactual ) )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( young @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( young @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ( down @ X4 @ X5 @ mactual )
            & ( barrel @ X4 @ X6 @ mactual )
            & ( old @ X6 @ mactual )
            & ( dirty @ X6 @ mactual )
            & ( white @ X6 @ mactual )
            & ( car @ X6 @ mactual )
            & ( chevy @ X6 @ mactual )
            & ( lonely @ X5 @ mactual )
            & ( way @ X5 @ mactual )
            & ( street @ X5 @ mactual )
            & ( event @ X4 @ mactual )
            & ( city @ X3 @ mactual )
            & ( hollywood @ X3 @ mactual )
            & ( front @ X2 @ mactual )
            & ( furniture @ X2 @ mactual )
            & ( seat @ X2 @ mactual )
            & ( front @ X1 @ mactual ) ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f280]) ).

thf(f282,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 @ X1 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( ( eiw_di @ X9 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X10 @ mactual ) )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( $false
          = ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( young @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( young @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ( down @ X4 @ X5 @ mactual )
            & ( barrel @ X4 @ X6 @ mactual )
            & ( old @ X6 @ mactual )
            & ( dirty @ X6 @ mactual )
            & ( white @ X6 @ mactual )
            & ( car @ X6 @ mactual )
            & ( chevy @ X6 @ mactual )
            & ( lonely @ X5 @ mactual )
            & ( way @ X5 @ mactual )
            & ( street @ X5 @ mactual )
            & ( event @ X4 @ mactual )
            & ( city @ X3 @ mactual )
            & ( hollywood @ X3 @ mactual )
            & ( front @ X2 @ mactual )
            & ( furniture @ X2 @ mactual )
            & ( seat @ X2 @ mactual ) ) ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f281]) ).

thf(f283,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 @ X10 @ mactual ) )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X9 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( young @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( young @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ( down @ X4 @ X5 @ mactual )
            & ( barrel @ X4 @ X6 @ mactual )
            & ( old @ X6 @ mactual )
            & ( dirty @ X6 @ mactual )
            & ( white @ X6 @ mactual )
            & ( car @ X6 @ mactual )
            & ( chevy @ X6 @ mactual )
            & ( lonely @ X5 @ mactual )
            & ( way @ X5 @ mactual )
            & ( street @ X5 @ mactual )
            & ( event @ X4 @ mactual )
            & ( city @ X3 @ mactual )
            & ( hollywood @ X3 @ mactual )
            & ( front @ X2 @ mactual )
            & ( furniture @ X2 @ mactual ) )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f282]) ).

thf(f284,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 ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( $false
          = ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( young @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( young @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ( down @ X4 @ X5 @ mactual )
            & ( barrel @ X4 @ X6 @ mactual )
            & ( old @ X6 @ mactual )
            & ( dirty @ X6 @ mactual )
            & ( white @ X6 @ mactual )
            & ( car @ X6 @ mactual )
            & ( chevy @ X6 @ mactual )
            & ( lonely @ X5 @ mactual )
            & ( way @ X5 @ mactual )
            & ( street @ X5 @ mactual )
            & ( event @ X4 @ mactual )
            & ( city @ X3 @ mactual )
            & ( hollywood @ X3 @ mactual )
            & ( front @ X2 @ mactual ) ) )
        | ( $false
          = ( eiw_di @ X10 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X9 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( furniture @ X2 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f283]) ).

thf(f285,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( eiw_di @ X9 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( furniture @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( young @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( young @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ( down @ X4 @ X5 @ mactual )
            & ( barrel @ X4 @ X6 @ mactual )
            & ( old @ X6 @ mactual )
            & ( dirty @ X6 @ mactual )
            & ( white @ X6 @ mactual )
            & ( car @ X6 @ mactual )
            & ( chevy @ X6 @ mactual )
            & ( lonely @ X5 @ mactual )
            & ( way @ X5 @ mactual )
            & ( street @ X5 @ mactual )
            & ( event @ X4 @ mactual )
            & ( city @ X3 @ mactual )
            & ( hollywood @ X3 @ mactual ) )
          = $false )
        | ( $false
          = ( eiw_di @ X10 @ mactual ) )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f284]) ).

thf(f286,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 )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X9 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( young @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( young @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ( down @ X4 @ X5 @ mactual )
            & ( barrel @ X4 @ X6 @ mactual )
            & ( old @ X6 @ mactual )
            & ( dirty @ X6 @ mactual )
            & ( white @ X6 @ mactual )
            & ( car @ X6 @ mactual )
            & ( chevy @ X6 @ mactual )
            & ( lonely @ X5 @ mactual )
            & ( way @ X5 @ mactual )
            & ( street @ X5 @ mactual )
            & ( event @ X4 @ mactual )
            & ( city @ X3 @ mactual ) )
          = $false )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X10 @ mactual ) )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( furniture @ X2 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f285]) ).

thf(f287,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 )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X9 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( furniture @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( young @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( young @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ( down @ X4 @ X5 @ mactual )
            & ( barrel @ X4 @ X6 @ mactual )
            & ( old @ X6 @ mactual )
            & ( dirty @ X6 @ mactual )
            & ( white @ X6 @ mactual )
            & ( car @ X6 @ mactual )
            & ( chevy @ X6 @ mactual )
            & ( lonely @ X5 @ mactual )
            & ( way @ X5 @ mactual )
            & ( street @ X5 @ mactual )
            & ( event @ X4 @ mactual ) )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X10 @ mactual ) )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f286]) ).

thf(f288,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X10 @ mactual ) )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( young @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( young @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ( down @ X4 @ X5 @ mactual )
            & ( barrel @ X4 @ X6 @ mactual )
            & ( old @ X6 @ mactual )
            & ( dirty @ X6 @ mactual )
            & ( white @ X6 @ mactual )
            & ( car @ X6 @ mactual )
            & ( chevy @ X6 @ mactual )
            & ( lonely @ X5 @ mactual )
            & ( way @ X5 @ mactual )
            & ( street @ X5 @ mactual ) )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X9 @ mactual )
          = $false )
        | ( ( furniture @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f287]) ).

thf(f289,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 @ X2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( $false
          = ( eiw_di @ X10 @ mactual ) )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( young @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( young @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ( down @ X4 @ X5 @ mactual )
            & ( barrel @ X4 @ X6 @ mactual )
            & ( old @ X6 @ mactual )
            & ( dirty @ X6 @ mactual )
            & ( white @ X6 @ mactual )
            & ( car @ X6 @ mactual )
            & ( chevy @ X6 @ mactual )
            & ( lonely @ X5 @ mactual )
            & ( way @ X5 @ mactual ) )
          = $false )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( furniture @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( street @ X5 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X9 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( ( event @ X4 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f288]) ).

thf(f290,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( street @ X5 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( way @ X5 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( young @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( young @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ( down @ X4 @ X5 @ mactual )
            & ( barrel @ X4 @ X6 @ mactual )
            & ( old @ X6 @ mactual )
            & ( dirty @ X6 @ mactual )
            & ( white @ X6 @ mactual )
            & ( car @ X6 @ mactual )
            & ( chevy @ X6 @ mactual )
            & ( lonely @ X5 @ mactual ) )
          = $false )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X9 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( furniture @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X10 @ mactual ) )
        | ( ( city @ X3 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f289]) ).

thf(f291,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( young @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( young @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ( down @ X4 @ X5 @ mactual )
            & ( barrel @ X4 @ X6 @ mactual )
            & ( old @ X6 @ mactual )
            & ( dirty @ X6 @ mactual )
            & ( white @ X6 @ mactual )
            & ( car @ X6 @ mactual )
            & ( chevy @ X6 @ mactual ) )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( way @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X10 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X9 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( street @ X5 @ mactual )
          = $false )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( ( lonely @ X5 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( ( furniture @ X2 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f290]) ).

thf(f292,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 )
        | ( ( eiw_di @ X9 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( chevy @ X6 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( $false
          = ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( young @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( young @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ( down @ X4 @ X5 @ mactual )
            & ( barrel @ X4 @ X6 @ mactual )
            & ( old @ X6 @ mactual )
            & ( dirty @ X6 @ mactual )
            & ( white @ X6 @ mactual )
            & ( car @ X6 @ mactual ) ) )
        | ( ( lonely @ X5 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( $false
          = ( eiw_di @ X10 @ mactual ) )
        | ( ( street @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( way @ X5 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( furniture @ X2 @ mactual )
          = $false )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( hollywood @ X3 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f291]) ).

thf(f293,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( car @ X6 @ mactual )
          = $false )
        | ( ( lonely @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( furniture @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( street @ X5 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X9 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X10 @ mactual ) )
        | ( ( way @ X5 @ mactual )
          = $false )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( young @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( young @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ( down @ X4 @ X5 @ mactual )
            & ( barrel @ X4 @ X6 @ mactual )
            & ( old @ X6 @ mactual )
            & ( dirty @ X6 @ mactual )
            & ( white @ X6 @ mactual ) )
          = $false )
        | ( ( chevy @ X6 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f292]) ).

thf(f294,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( eiw_di @ X10 @ mactual ) )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( ( street @ X5 @ mactual )
          = $false )
        | ( ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( young @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( young @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ( down @ X4 @ X5 @ mactual )
            & ( barrel @ X4 @ X6 @ mactual )
            & ( old @ X6 @ mactual )
            & ( dirty @ X6 @ mactual ) )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( ( car @ X6 @ mactual )
          = $false )
        | ( ( chevy @ X6 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( ( furniture @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X9 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( white @ X6 @ mactual )
          = $false )
        | ( ( way @ X5 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( lonely @ X5 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f293]) ).

thf(f295,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 )
        | ( ( eiw_di @ X9 @ mactual )
          = $false )
        | ( ( car @ X6 @ mactual )
          = $false )
        | ( ( street @ X5 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( furniture @ X2 @ mactual )
          = $false )
        | ( ( dirty @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( lonely @ X5 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( young @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( young @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ( down @ X4 @ X5 @ mactual )
            & ( barrel @ X4 @ X6 @ mactual )
            & ( old @ X6 @ mactual ) )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( white @ X6 @ mactual )
          = $false )
        | ( ( chevy @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( $false
          = ( eiw_di @ X10 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( way @ X5 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f294]) ).

thf(f296,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( chevy @ X6 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( old @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( ( lonely @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( dirty @ X6 @ mactual )
          = $false )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( ( eiw_di @ X9 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( furniture @ X2 @ mactual )
          = $false )
        | ( ( way @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( car @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X10 @ mactual ) )
        | ( $false
          = ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( young @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( young @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ( down @ X4 @ X5 @ mactual )
            & ( barrel @ X4 @ X6 @ mactual ) ) )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( street @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( white @ X6 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f295]) ).

thf(f297,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( front @ X1 @ mactual ) )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X10 @ mactual ) )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( old @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( ( furniture @ X2 @ mactual )
          = $false )
        | ( ( lonely @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X9 @ mactual )
          = $false )
        | ( ( street @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( way @ X5 @ mactual )
          = $false )
        | ( ( car @ X6 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( chevy @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( $false
          = ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( young @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( young @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ( down @ X4 @ X5 @ mactual ) ) )
        | ( ( dirty @ X6 @ mactual )
          = $false )
        | ( $false
          = ( barrel @ X4 @ X6 @ mactual ) )
        | ( ( white @ X6 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f296]) ).

thf(f298,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 )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( $false
          = ( barrel @ X4 @ X6 @ mactual ) )
        | ( $false
          = ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( young @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( young @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( in @ X4 @ X3 @ mactual ) ) )
        | ( ( lonely @ X5 @ mactual )
          = $false )
        | ( ( chevy @ X6 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( furniture @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( car @ X6 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X9 @ mactual )
          = $false )
        | ( ( way @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( white @ X6 @ mactual )
          = $false )
        | ( ( down @ X4 @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( dirty @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X10 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( old @ X6 @ mactual )
          = $false )
        | ( ( street @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f297]) ).

thf(f299,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 )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( $false
          = ( eiw_di @ X10 @ mactual ) )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( barrel @ X4 @ X6 @ mactual ) )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( young @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( young @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual ) )
          = $false )
        | ( ( lonely @ X5 @ mactual )
          = $false )
        | ( ( car @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( dirty @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( old @ X6 @ mactual )
          = $false )
        | ( ( down @ X4 @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( ( furniture @ X2 @ mactual )
          = $false )
        | ( ( white @ X6 @ mactual )
          = $false )
        | ( ( street @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( ( chevy @ X6 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X9 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( way @ X5 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f298]) ).

thf(f300,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 ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( old @ X6 @ mactual )
          = $false )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( young @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( young @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( fellow @ X7 @ mactual ) )
          = $false )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X9 @ mactual )
          = $false )
        | ( ( chevy @ X6 @ mactual )
          = $false )
        | ( ( street @ X5 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( lonely @ X5 @ mactual )
          = $false )
        | ( $false
          = ( barrel @ X4 @ X6 @ mactual ) )
        | ( ( car @ X6 @ mactual )
          = $false )
        | ( ( way @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( furniture @ X2 @ mactual )
          = $false )
        | ( ( ~ ( qmltpeq @ X7 @ X8 @ mactual ) )
          = $false )
        | ( ( down @ X4 @ X5 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( dirty @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X10 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( white @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f299]) ).

thf(f301,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( eiw_di @ X10 @ mactual ) )
        | ( $false
          = ( barrel @ X4 @ X6 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( young @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( young @ X7 @ mactual )
            & ( man @ X7 @ mactual ) )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( down @ X4 @ X5 @ mactual )
          = $false )
        | ( ( car @ X6 @ mactual )
          = $false )
        | ( ( dirty @ X6 @ mactual )
          = $false )
        | ( ( white @ X6 @ mactual )
          = $false )
        | ( ( furniture @ X2 @ mactual )
          = $false )
        | ( ( old @ X6 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( ( eiw_di @ X9 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( way @ X5 @ mactual )
          = $false )
        | ( ( chevy @ X6 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ X7 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( ( ~ ( qmltpeq @ X7 @ X8 @ mactual ) )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( lonely @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( street @ X5 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f300]) ).

thf(f302,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( ( down @ X4 @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( way @ X5 @ mactual )
          = $false )
        | ( $false
          = ( man @ X7 @ mactual ) )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( ( dirty @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X10 @ mactual ) )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( furniture @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( barrel @ X4 @ X6 @ mactual ) )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( street @ X5 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ X7 @ mactual ) )
        | ( ( white @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( ~ ( qmltpeq @ X7 @ X8 @ mactual ) )
          = $false )
        | ( ( lonely @ X5 @ mactual )
          = $false )
        | ( ( old @ X6 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( ( car @ X6 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( young @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( young @ X7 @ mactual ) )
          = $false )
        | ( ( chevy @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X9 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f301]) ).

thf(f303,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( eiw_di @ X10 @ mactual ) )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( furniture @ X2 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( chevy @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( way @ X5 @ mactual )
          = $false )
        | ( ( white @ X6 @ mactual )
          = $false )
        | ( ( street @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( $false
          = ( fellow @ X7 @ mactual ) )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( down @ X4 @ X5 @ mactual )
          = $false )
        | ( $false
          = ( barrel @ X4 @ X6 @ mactual ) )
        | ( ( old @ X6 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X9 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( car @ X6 @ mactual )
          = $false )
        | ( $false
          = ( man @ X7 @ mactual ) )
        | ( ( qmltpeq @ X7 @ X8 @ mactual )
          = $true )
        | ( ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( young @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( young @ X7 @ mactual ) )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( ( lonely @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( ( dirty @ X6 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(not_proxy_clausification,[],[f302]) ).

thf(f304,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 )
        | ( ( chevy @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( barrel @ X4 @ X6 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ X7 @ mactual ) )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( street @ X5 @ mactual )
          = $false )
        | ( ( qmltpeq @ X7 @ X8 @ mactual )
          = $true )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( old @ X6 @ mactual )
          = $false )
        | ( $false
          = ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( young @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( fellow @ X8 @ mactual ) ) )
        | ( ( white @ X6 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( ( lonely @ X5 @ mactual )
          = $false )
        | ( ( dirty @ X6 @ mactual )
          = $false )
        | ( $false
          = ( young @ X7 @ mactual ) )
        | ( ( eiw_di @ X9 @ mactual )
          = $false )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( ( furniture @ X2 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( down @ X4 @ X5 @ mactual )
          = $false )
        | ( ( car @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( $false
          = ( man @ X7 @ mactual ) )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X10 @ mactual ) )
        | ( ( event @ X4 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f303]) ).

thf(f305,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 @ X2 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( down @ X4 @ X5 @ mactual )
          = $false )
        | ( ( qmltpeq @ X7 @ X8 @ mactual )
          = $true )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( $false
          = ( young @ X7 @ mactual ) )
        | ( ( dirty @ X6 @ mactual )
          = $false )
        | ( ( furniture @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( $false
          = ( man @ X7 @ mactual ) )
        | ( ( chevy @ X6 @ mactual )
          = $false )
        | ( ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( young @ X8 @ mactual )
            & ( man @ X8 @ mactual ) )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( fellow @ X8 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X9 @ mactual )
          = $false )
        | ( $false
          = ( barrel @ X4 @ X6 @ mactual ) )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( white @ X6 @ mactual )
          = $false )
        | ( ( lonely @ X5 @ mactual )
          = $false )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( car @ X6 @ mactual )
          = $false )
        | ( ( way @ X5 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( ( street @ X5 @ mactual )
          = $false )
        | ( ( old @ X6 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ X7 @ mactual ) )
        | ( $false
          = ( eiw_di @ X10 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f304]) ).

thf(f306,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( young @ X8 @ mactual ) )
          = $false )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( $false
          = ( man @ X7 @ mactual ) )
        | ( ( down @ X4 @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( white @ X6 @ mactual )
          = $false )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( street @ X5 @ mactual )
          = $false )
        | ( ( car @ X6 @ mactual )
          = $false )
        | ( ( qmltpeq @ X7 @ X8 @ mactual )
          = $true )
        | ( $false
          = ( eiw_di @ X10 @ mactual ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( man @ X8 @ mactual )
          = $false )
        | ( $false
          = ( young @ X7 @ mactual ) )
        | ( $false
          = ( fellow @ X7 @ mactual ) )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( lonely @ X5 @ mactual )
          = $false )
        | ( ( fellow @ X8 @ mactual )
          = $false )
        | ( ( eiw_di @ X9 @ mactual )
          = $false )
        | ( ( old @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( dirty @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( furniture @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( ( chevy @ X6 @ mactual )
          = $false )
        | ( ( way @ X5 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( $false
          = ( barrel @ X4 @ X6 @ mactual ) )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f305]) ).

thf(f307,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( man @ X8 @ mactual )
          = $false )
        | ( ( eiw_di @ X9 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ X7 @ mactual ) )
        | ( ( dirty @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X10 @ mactual ) )
        | ( ( lonely @ X5 @ mactual )
          = $false )
        | ( ( street @ X5 @ mactual )
          = $false )
        | ( $false
          = ( man @ X7 @ mactual ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( qmltpeq @ X7 @ X8 @ mactual )
          = $true )
        | ( ( furniture @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( down @ X4 @ X5 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( ( car @ X6 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( fellow @ X8 @ mactual )
          = $false )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( ( chevy @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( white @ X6 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( $false
          = ( young @ X7 @ mactual ) )
        | ( $false
          = ( barrel @ X4 @ X6 @ mactual ) )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( old @ X6 @ mactual )
          = $false )
        | ( ( way @ X5 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual ) )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( young @ X8 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f306]) ).

thf(f308,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( front @ X1 @ mactual ) )
        | ( ( dirty @ X6 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( $false
          = ( eiw_di @ X10 @ mactual ) )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( fellow @ X8 @ mactual )
          = $false )
        | ( ( street @ X5 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( old @ X6 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( car @ X6 @ mactual )
          = $false )
        | ( ( young @ X8 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ X7 @ mactual ) )
        | ( ( down @ X4 @ X5 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X9 @ X1 @ mactual ) )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( chevy @ X6 @ mactual )
          = $false )
        | ( ( lonely @ X5 @ mactual )
          = $false )
        | ( ( way @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( eiw_di @ X9 @ mactual )
          = $false )
        | ( ( qmltpeq @ X7 @ X8 @ mactual )
          = $true )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( man @ X7 @ mactual ) )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( ( furniture @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( barrel @ X4 @ X6 @ mactual ) )
        | ( ( man @ X8 @ mactual )
          = $false )
        | ( $false
          = ( qmltpeq @ X7 @ X9 @ mactual ) )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( $false
          = ( young @ X7 @ mactual ) )
        | ( ( white @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f307]) ).

thf(f309,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 )
        | ( ( lonely @ X5 @ mactual )
          = $false )
        | ( $false
          = ( qmltpeq @ X7 @ X9 @ mactual ) )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( ( young @ X8 @ mactual )
          = $false )
        | ( ( way @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( qmltpeq @ X7 @ X8 @ mactual )
          = $true )
        | ( ( old @ X6 @ mactual )
          = $false )
        | ( ( chevy @ X6 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( $false
          = ( man @ X7 @ mactual ) )
        | ( ( car @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( in @ X9 @ X1 @ mactual )
          = $false )
        | ( $false
          = ( barrel @ X4 @ X6 @ mactual ) )
        | ( $false
          = ( young @ X7 @ mactual ) )
        | ( ( man @ X8 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( ( furniture @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X9 @ mactual )
          = $false )
        | ( ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual ) )
          = $false )
        | ( $false
          = ( eiw_di @ X10 @ mactual ) )
        | ( ( fellow @ X8 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( white @ X6 @ mactual )
          = $false )
        | ( ( down @ X4 @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ X7 @ mactual ) )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( dirty @ X6 @ mactual )
          = $false )
        | ( ( street @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( ( event @ X4 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f308]) ).

thf(f310,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( in @ X10 @ X2 @ mactual )
          = $false )
        | ( ( down @ X4 @ X5 @ mactual )
          = $false )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( ( furniture @ X2 @ mactual )
          = $false )
        | ( ( car @ X6 @ mactual )
          = $false )
        | ( ( chevy @ X6 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( fellow @ X8 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X10 @ mactual ) )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( ( white @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( young @ X7 @ mactual ) )
        | ( $false
          = ( barrel @ X4 @ X6 @ mactual ) )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( ( qmltpeq @ X7 @ X8 @ mactual )
          = $true )
        | ( ( street @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( man @ X7 @ mactual ) )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( ( man @ X8 @ mactual )
          = $false )
        | ( ( way @ X5 @ mactual )
          = $false )
        | ( $false
          = ( qmltpeq @ X7 @ X9 @ mactual ) )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ X7 @ mactual ) )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( in @ X9 @ X1 @ mactual )
          = $false )
        | ( ( qmltpeq @ X8 @ X10 @ mactual )
          = $false )
        | ( ( lonely @ X5 @ mactual )
          = $false )
        | ( ( young @ X8 @ mactual )
          = $false )
        | ( ( old @ X6 @ mactual )
          = $false )
        | ( ( dirty @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X9 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f309]) ).

thf(f312,definition,
    ( spl0_3
  <=> ! [X2: $i,X10: $i,X7: $i,X9: $i,X8: $i,X1: $i] :
        ( ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( eiw_di @ X9 @ mactual )
          = $false )
        | ( ( young @ X8 @ mactual )
          = $false )
        | ( ( qmltpeq @ X8 @ X10 @ mactual )
          = $false )
        | ( ( in @ X9 @ X1 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ X7 @ mactual ) )
        | ( $false
          = ( qmltpeq @ X7 @ X9 @ mactual ) )
        | ( ( man @ X8 @ mactual )
          = $false )
        | ( $false
          = ( man @ X7 @ mactual ) )
        | ( ( qmltpeq @ X7 @ X8 @ mactual )
          = $true )
        | ( $false
          = ( young @ X7 @ mactual ) )
        | ( ( in @ X10 @ X2 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X10 @ mactual ) )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( furniture @ X2 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( fellow @ X8 @ mactual )
          = $false ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

thf(f313,plain,
    ( ! [X2: $i,X10: $i,X1: $i,X8: $i,X9: $i,X7: $i] :
        ( ( $false
          = ( qmltpeq @ X7 @ X9 @ mactual ) )
        | ( ( in @ X9 @ X1 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( fellow @ X8 @ mactual )
          = $false )
        | ( ( qmltpeq @ X7 @ X8 @ mactual )
          = $true )
        | ( $false
          = ( eiw_di @ X10 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( in @ X10 @ X2 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( furniture @ X2 @ mactual )
          = $false )
        | ( ( man @ X8 @ mactual )
          = $false )
        | ( ( young @ X8 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ X7 @ mactual ) )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( eiw_di @ X9 @ mactual )
          = $false )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( qmltpeq @ X8 @ X10 @ mactual )
          = $false )
        | ( $false
          = ( man @ X7 @ mactual ) )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( $false
          = ( young @ X7 @ mactual ) ) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f312]) ).

thf(f315,definition,
    ( spl0_4
  <=> ! [X5: $i,X4: $i,X6: $i,X3: $i] :
        ( ( ( down @ X4 @ X5 @ mactual )
          = $false )
        | ( ( dirty @ X6 @ mactual )
          = $false )
        | ( ( old @ X6 @ mactual )
          = $false )
        | ( ( lonely @ X5 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( way @ X5 @ mactual )
          = $false )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( ( street @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( $false
          = ( barrel @ X4 @ X6 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( car @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( white @ X6 @ mactual )
          = $false )
        | ( ( chevy @ X6 @ mactual )
          = $false ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

thf(f316,plain,
    ( ! [X3: $i,X6: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( barrel @ X4 @ X6 @ mactual ) )
        | ( ( dirty @ X6 @ mactual )
          = $false )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( ( chevy @ X6 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( ( way @ X5 @ mactual )
          = $false )
        | ( ( white @ X6 @ mactual )
          = $false )
        | ( ( lonely @ X5 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( car @ X6 @ mactual )
          = $false )
        | ( ( street @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( old @ X6 @ mactual )
          = $false )
        | ( ( down @ X4 @ X5 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false ) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f315]) ).

thf(f317,plain,
    ( spl0_3
    | spl0_4
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f310,f222,f315,f312]) ).

thf(f325,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 )
                                                                  & ( in @ Y9 @ Y1 @ mactual )
                                                                  & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                  & ( in @ Y8 @ Y0 @ mactual )
                                                                  & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                  & ( young @ Y7 @ mactual )
                                                                  & ( man @ Y7 @ mactual )
                                                                  & ( fellow @ Y7 @ mactual )
                                                                  & ( young @ Y6 @ mactual )
                                                                  & ( man @ Y6 @ mactual )
                                                                  & ( fellow @ Y6 @ mactual )
                                                                  & ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
                                                                  & ( in @ Y3 @ Y2 @ mactual )
                                                                  & ( down @ Y3 @ Y5 @ mactual )
                                                                  & ( barrel @ Y3 @ Y4 @ mactual )
                                                                  & ( lonely @ Y5 @ mactual )
                                                                  & ( way @ Y5 @ mactual )
                                                                  & ( street @ Y5 @ mactual )
                                                                  & ( old @ Y4 @ mactual )
                                                                  & ( dirty @ Y4 @ mactual )
                                                                  & ( white @ Y4 @ mactual )
                                                                  & ( car @ Y4 @ mactual )
                                                                  & ( chevy @ Y4 @ mactual )
                                                                  & ( event @ Y3 @ mactual )
                                                                  & ( city @ Y2 @ mactual )
                                                                  & ( hollywood @ Y2 @ mactual )
                                                                  & ( front @ Y1 @ mactual )
                                                                  & ( furniture @ Y1 @ mactual )
                                                                  & ( seat @ Y1 @ mactual )
                                                                  & ( front @ Y0 @ mactual )
                                                                  & ( furniture @ Y0 @ mactual )
                                                                  & ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      = $true )
    | ( $true = $false )
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f220,f224]) ).

thf(f326,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 )
                                                                  & ( in @ Y9 @ Y1 @ mactual )
                                                                  & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                  & ( in @ Y8 @ Y0 @ mactual )
                                                                  & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                  & ( young @ Y7 @ mactual )
                                                                  & ( man @ Y7 @ mactual )
                                                                  & ( fellow @ Y7 @ mactual )
                                                                  & ( young @ Y6 @ mactual )
                                                                  & ( man @ Y6 @ mactual )
                                                                  & ( fellow @ Y6 @ mactual )
                                                                  & ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
                                                                  & ( in @ Y3 @ Y2 @ mactual )
                                                                  & ( down @ Y3 @ Y5 @ mactual )
                                                                  & ( barrel @ Y3 @ Y4 @ mactual )
                                                                  & ( lonely @ Y5 @ mactual )
                                                                  & ( way @ Y5 @ mactual )
                                                                  & ( street @ Y5 @ mactual )
                                                                  & ( old @ Y4 @ mactual )
                                                                  & ( dirty @ Y4 @ mactual )
                                                                  & ( white @ Y4 @ mactual )
                                                                  & ( car @ Y4 @ mactual )
                                                                  & ( chevy @ Y4 @ mactual )
                                                                  & ( event @ Y3 @ mactual )
                                                                  & ( city @ Y2 @ mactual )
                                                                  & ( hollywood @ Y2 @ mactual )
                                                                  & ( front @ Y1 @ mactual )
                                                                  & ( furniture @ Y1 @ mactual )
                                                                  & ( seat @ Y1 @ mactual )
                                                                  & ( front @ Y0 @ mactual )
                                                                  & ( furniture @ Y0 @ mactual )
                                                                  & ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      = $true )
    | ~ spl0_1 ),
    inference(trivial_inequality_removal,[],[f325]) ).

thf(f337,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 )
                                                                  & ( in @ Y9 @ Y1 @ mactual )
                                                                  & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                  & ( in @ Y8 @ Y0 @ mactual )
                                                                  & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                  & ( young @ Y7 @ mactual )
                                                                  & ( man @ Y7 @ mactual )
                                                                  & ( fellow @ Y7 @ mactual )
                                                                  & ( young @ Y6 @ mactual )
                                                                  & ( man @ Y6 @ mactual )
                                                                  & ( fellow @ Y6 @ mactual )
                                                                  & ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
                                                                  & ( in @ Y3 @ Y2 @ mactual )
                                                                  & ( down @ Y3 @ Y5 @ mactual )
                                                                  & ( barrel @ Y3 @ Y4 @ mactual )
                                                                  & ( lonely @ Y5 @ mactual )
                                                                  & ( way @ Y5 @ mactual )
                                                                  & ( street @ Y5 @ mactual )
                                                                  & ( old @ Y4 @ mactual )
                                                                  & ( dirty @ Y4 @ mactual )
                                                                  & ( white @ Y4 @ mactual )
                                                                  & ( car @ Y4 @ mactual )
                                                                  & ( chevy @ Y4 @ mactual )
                                                                  & ( event @ Y3 @ mactual )
                                                                  & ( city @ Y2 @ mactual )
                                                                  & ( hollywood @ Y2 @ mactual )
                                                                  & ( front @ Y1 @ mactual )
                                                                  & ( furniture @ Y1 @ mactual )
                                                                  & ( seat @ Y1 @ mactual )
                                                                  & ( front @ Y0 @ mactual )
                                                                  & ( furniture @ Y0 @ mactual )
                                                                  & ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
        @ sK1 )
      = $true )
    | ~ spl0_1 ),
    inference(sigma_proxy_clausification,[],[f326]) ).

thf(f340,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 )
                                                              & ( in @ Y8 @ Y0 @ mactual )
                                                              & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                              & ( in @ Y7 @ sK1 @ mactual )
                                                              & ( qmltpeq @ Y5 @ Y7 @ mactual )
                                                              & ( young @ Y6 @ mactual )
                                                              & ( man @ Y6 @ mactual )
                                                              & ( fellow @ Y6 @ mactual )
                                                              & ( young @ Y5 @ mactual )
                                                              & ( man @ Y5 @ mactual )
                                                              & ( fellow @ Y5 @ mactual )
                                                              & ~ ( qmltpeq @ Y5 @ Y6 @ mactual )
                                                              & ( in @ Y2 @ Y1 @ mactual )
                                                              & ( down @ Y2 @ Y4 @ mactual )
                                                              & ( barrel @ Y2 @ Y3 @ mactual )
                                                              & ( lonely @ Y4 @ mactual )
                                                              & ( way @ Y4 @ mactual )
                                                              & ( street @ Y4 @ mactual )
                                                              & ( old @ Y3 @ mactual )
                                                              & ( dirty @ Y3 @ mactual )
                                                              & ( white @ Y3 @ mactual )
                                                              & ( car @ Y3 @ mactual )
                                                              & ( chevy @ Y3 @ mactual )
                                                              & ( event @ Y2 @ mactual )
                                                              & ( city @ Y1 @ mactual )
                                                              & ( hollywood @ Y1 @ mactual )
                                                              & ( front @ Y0 @ mactual )
                                                              & ( furniture @ Y0 @ mactual )
                                                              & ( seat @ Y0 @ mactual )
                                                              & ( front @ sK1 @ mactual )
                                                              & ( furniture @ sK1 @ mactual )
                                                              & ( seat @ sK1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      = $true )
    | ~ spl0_1 ),
    inference(beta-eta_normalization,[],[f337]) ).

thf(f341,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 )
                                                            & ( in @ Y8 @ Y0 @ mactual )
                                                            & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                            & ( in @ Y7 @ sK1 @ mactual )
                                                            & ( qmltpeq @ Y5 @ Y7 @ mactual )
                                                            & ( young @ Y6 @ mactual )
                                                            & ( man @ Y6 @ mactual )
                                                            & ( fellow @ Y6 @ mactual )
                                                            & ( young @ Y5 @ mactual )
                                                            & ( man @ Y5 @ mactual )
                                                            & ( fellow @ Y5 @ mactual )
                                                            & ~ ( qmltpeq @ Y5 @ Y6 @ mactual )
                                                            & ( in @ Y2 @ Y1 @ mactual )
                                                            & ( down @ Y2 @ Y4 @ mactual )
                                                            & ( barrel @ Y2 @ Y3 @ mactual )
                                                            & ( lonely @ Y4 @ mactual )
                                                            & ( way @ Y4 @ mactual )
                                                            & ( street @ Y4 @ mactual )
                                                            & ( old @ Y3 @ mactual )
                                                            & ( dirty @ Y3 @ mactual )
                                                            & ( white @ Y3 @ mactual )
                                                            & ( car @ Y3 @ mactual )
                                                            & ( chevy @ Y3 @ mactual )
                                                            & ( event @ Y2 @ mactual )
                                                            & ( city @ Y1 @ mactual )
                                                            & ( hollywood @ Y1 @ mactual )
                                                            & ( front @ Y0 @ mactual )
                                                            & ( furniture @ Y0 @ mactual )
                                                            & ( seat @ Y0 @ mactual )
                                                            & ( front @ sK1 @ mactual )
                                                            & ( furniture @ sK1 @ mactual )
                                                            & ( seat @ sK1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f340]) ).

thf(f342,plain,
    ( ( ( eiw_di @ sK1 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f340]) ).

thf(f345,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 )
                                                            & ( in @ Y8 @ Y0 @ mactual )
                                                            & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                            & ( in @ Y7 @ sK1 @ mactual )
                                                            & ( qmltpeq @ Y5 @ Y7 @ mactual )
                                                            & ( young @ Y6 @ mactual )
                                                            & ( man @ Y6 @ mactual )
                                                            & ( fellow @ Y6 @ mactual )
                                                            & ( young @ Y5 @ mactual )
                                                            & ( man @ Y5 @ mactual )
                                                            & ( fellow @ Y5 @ mactual )
                                                            & ~ ( qmltpeq @ Y5 @ Y6 @ mactual )
                                                            & ( in @ Y2 @ Y1 @ mactual )
                                                            & ( down @ Y2 @ Y4 @ mactual )
                                                            & ( barrel @ Y2 @ Y3 @ mactual )
                                                            & ( lonely @ Y4 @ mactual )
                                                            & ( way @ Y4 @ mactual )
                                                            & ( street @ Y4 @ mactual )
                                                            & ( old @ Y3 @ mactual )
                                                            & ( dirty @ Y3 @ mactual )
                                                            & ( white @ Y3 @ mactual )
                                                            & ( car @ Y3 @ mactual )
                                                            & ( chevy @ Y3 @ mactual )
                                                            & ( event @ Y2 @ mactual )
                                                            & ( city @ Y1 @ mactual )
                                                            & ( hollywood @ Y1 @ mactual )
                                                            & ( front @ Y0 @ mactual )
                                                            & ( furniture @ Y0 @ mactual )
                                                            & ( seat @ Y0 @ mactual )
                                                            & ( front @ sK1 @ mactual )
                                                            & ( furniture @ sK1 @ mactual )
                                                            & ( seat @ sK1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
        @ sK2 )
      = $true )
    | ~ spl0_1 ),
    inference(sigma_proxy_clausification,[],[f341]) ).

thf(f347,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 )
                                                        & ( in @ Y7 @ sK2 @ mactual )
                                                        & ( qmltpeq @ Y5 @ Y7 @ mactual )
                                                        & ( in @ Y6 @ sK1 @ mactual )
                                                        & ( qmltpeq @ Y4 @ Y6 @ mactual )
                                                        & ( young @ Y5 @ mactual )
                                                        & ( man @ Y5 @ mactual )
                                                        & ( fellow @ Y5 @ mactual )
                                                        & ( young @ Y4 @ mactual )
                                                        & ( man @ Y4 @ mactual )
                                                        & ( fellow @ Y4 @ mactual )
                                                        & ~ ( qmltpeq @ Y4 @ Y5 @ mactual )
                                                        & ( in @ Y1 @ Y0 @ mactual )
                                                        & ( down @ Y1 @ Y3 @ mactual )
                                                        & ( barrel @ Y1 @ Y2 @ mactual )
                                                        & ( lonely @ Y3 @ mactual )
                                                        & ( way @ Y3 @ mactual )
                                                        & ( street @ Y3 @ mactual )
                                                        & ( old @ Y2 @ mactual )
                                                        & ( dirty @ Y2 @ mactual )
                                                        & ( white @ Y2 @ mactual )
                                                        & ( car @ Y2 @ mactual )
                                                        & ( chevy @ Y2 @ mactual )
                                                        & ( event @ Y1 @ mactual )
                                                        & ( city @ Y0 @ mactual )
                                                        & ( hollywood @ Y0 @ mactual )
                                                        & ( front @ sK2 @ mactual )
                                                        & ( furniture @ sK2 @ mactual )
                                                        & ( seat @ sK2 @ mactual )
                                                        & ( front @ sK1 @ mactual )
                                                        & ( furniture @ sK1 @ mactual )
                                                        & ( seat @ sK1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      = $true )
    | ~ spl0_1 ),
    inference(beta-eta_normalization,[],[f345]) ).

thf(f349,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 )
                                                      & ( in @ Y7 @ sK2 @ mactual )
                                                      & ( qmltpeq @ Y5 @ Y7 @ mactual )
                                                      & ( in @ Y6 @ sK1 @ mactual )
                                                      & ( qmltpeq @ Y4 @ Y6 @ mactual )
                                                      & ( young @ Y5 @ mactual )
                                                      & ( man @ Y5 @ mactual )
                                                      & ( fellow @ Y5 @ mactual )
                                                      & ( young @ Y4 @ mactual )
                                                      & ( man @ Y4 @ mactual )
                                                      & ( fellow @ Y4 @ mactual )
                                                      & ~ ( qmltpeq @ Y4 @ Y5 @ mactual )
                                                      & ( in @ Y1 @ Y0 @ mactual )
                                                      & ( down @ Y1 @ Y3 @ mactual )
                                                      & ( barrel @ Y1 @ Y2 @ mactual )
                                                      & ( lonely @ Y3 @ mactual )
                                                      & ( way @ Y3 @ mactual )
                                                      & ( street @ Y3 @ mactual )
                                                      & ( old @ Y2 @ mactual )
                                                      & ( dirty @ Y2 @ mactual )
                                                      & ( white @ Y2 @ mactual )
                                                      & ( car @ Y2 @ mactual )
                                                      & ( chevy @ Y2 @ mactual )
                                                      & ( event @ Y1 @ mactual )
                                                      & ( city @ Y0 @ mactual )
                                                      & ( hollywood @ Y0 @ mactual )
                                                      & ( front @ sK2 @ mactual )
                                                      & ( furniture @ sK2 @ mactual )
                                                      & ( seat @ sK2 @ mactual )
                                                      & ( front @ sK1 @ mactual )
                                                      & ( furniture @ sK1 @ mactual )
                                                      & ( seat @ sK1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f347]) ).

thf(f350,plain,
    ( ( ( eiw_di @ sK2 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f347]) ).

thf(f353,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 )
                                                      & ( in @ Y7 @ sK2 @ mactual )
                                                      & ( qmltpeq @ Y5 @ Y7 @ mactual )
                                                      & ( in @ Y6 @ sK1 @ mactual )
                                                      & ( qmltpeq @ Y4 @ Y6 @ mactual )
                                                      & ( young @ Y5 @ mactual )
                                                      & ( man @ Y5 @ mactual )
                                                      & ( fellow @ Y5 @ mactual )
                                                      & ( young @ Y4 @ mactual )
                                                      & ( man @ Y4 @ mactual )
                                                      & ( fellow @ Y4 @ mactual )
                                                      & ~ ( qmltpeq @ Y4 @ Y5 @ mactual )
                                                      & ( in @ Y1 @ Y0 @ mactual )
                                                      & ( down @ Y1 @ Y3 @ mactual )
                                                      & ( barrel @ Y1 @ Y2 @ mactual )
                                                      & ( lonely @ Y3 @ mactual )
                                                      & ( way @ Y3 @ mactual )
                                                      & ( street @ Y3 @ mactual )
                                                      & ( old @ Y2 @ mactual )
                                                      & ( dirty @ Y2 @ mactual )
                                                      & ( white @ Y2 @ mactual )
                                                      & ( car @ Y2 @ mactual )
                                                      & ( chevy @ Y2 @ mactual )
                                                      & ( event @ Y1 @ mactual )
                                                      & ( city @ Y0 @ mactual )
                                                      & ( hollywood @ Y0 @ mactual )
                                                      & ( front @ sK2 @ mactual )
                                                      & ( furniture @ sK2 @ mactual )
                                                      & ( seat @ sK2 @ mactual )
                                                      & ( front @ sK1 @ mactual )
                                                      & ( furniture @ sK1 @ mactual )
                                                      & ( seat @ sK1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
        @ sK3 )
      = $true )
    | ~ spl0_1 ),
    inference(sigma_proxy_clausification,[],[f349]) ).

thf(f356,plain,
    ( ( $true
      = ( ( 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 )
                                                  & ( in @ Y6 @ sK2 @ mactual )
                                                  & ( qmltpeq @ Y4 @ Y6 @ mactual )
                                                  & ( in @ Y5 @ sK1 @ mactual )
                                                  & ( qmltpeq @ Y3 @ Y5 @ mactual )
                                                  & ( young @ Y4 @ mactual )
                                                  & ( man @ Y4 @ mactual )
                                                  & ( fellow @ Y4 @ mactual )
                                                  & ( young @ Y3 @ mactual )
                                                  & ( man @ Y3 @ mactual )
                                                  & ( fellow @ Y3 @ mactual )
                                                  & ~ ( qmltpeq @ Y3 @ Y4 @ mactual )
                                                  & ( in @ Y0 @ sK3 @ mactual )
                                                  & ( down @ Y0 @ Y2 @ mactual )
                                                  & ( barrel @ Y0 @ Y1 @ mactual )
                                                  & ( lonely @ Y2 @ mactual )
                                                  & ( way @ Y2 @ mactual )
                                                  & ( street @ Y2 @ mactual )
                                                  & ( old @ Y1 @ mactual )
                                                  & ( dirty @ Y1 @ mactual )
                                                  & ( white @ Y1 @ mactual )
                                                  & ( car @ Y1 @ mactual )
                                                  & ( chevy @ Y1 @ mactual )
                                                  & ( event @ Y0 @ mactual )
                                                  & ( city @ sK3 @ mactual )
                                                  & ( hollywood @ sK3 @ mactual )
                                                  & ( front @ sK2 @ mactual )
                                                  & ( furniture @ sK2 @ mactual )
                                                  & ( seat @ sK2 @ mactual )
                                                  & ( front @ sK1 @ mactual )
                                                  & ( furniture @ sK1 @ mactual )
                                                  & ( seat @ sK1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ~ spl0_1 ),
    inference(beta-eta_normalization,[],[f353]) ).

thf(f357,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 )
                                                & ( in @ Y6 @ sK2 @ mactual )
                                                & ( qmltpeq @ Y4 @ Y6 @ mactual )
                                                & ( in @ Y5 @ sK1 @ mactual )
                                                & ( qmltpeq @ Y3 @ Y5 @ mactual )
                                                & ( young @ Y4 @ mactual )
                                                & ( man @ Y4 @ mactual )
                                                & ( fellow @ Y4 @ mactual )
                                                & ( young @ Y3 @ mactual )
                                                & ( man @ Y3 @ mactual )
                                                & ( fellow @ Y3 @ mactual )
                                                & ~ ( qmltpeq @ Y3 @ Y4 @ mactual )
                                                & ( in @ Y0 @ sK3 @ mactual )
                                                & ( down @ Y0 @ Y2 @ mactual )
                                                & ( barrel @ Y0 @ Y1 @ mactual )
                                                & ( lonely @ Y2 @ mactual )
                                                & ( way @ Y2 @ mactual )
                                                & ( street @ Y2 @ mactual )
                                                & ( old @ Y1 @ mactual )
                                                & ( dirty @ Y1 @ mactual )
                                                & ( white @ Y1 @ mactual )
                                                & ( car @ Y1 @ mactual )
                                                & ( chevy @ Y1 @ mactual )
                                                & ( event @ Y0 @ mactual )
                                                & ( city @ sK3 @ mactual )
                                                & ( hollywood @ sK3 @ mactual )
                                                & ( front @ sK2 @ mactual )
                                                & ( furniture @ sK2 @ mactual )
                                                & ( seat @ sK2 @ mactual )
                                                & ( front @ sK1 @ mactual )
                                                & ( furniture @ sK1 @ mactual )
                                                & ( seat @ sK1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f356]) ).

thf(f358,plain,
    ( ( $true
      = ( eiw_di @ sK3 @ mactual ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f356]) ).

thf(f361,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 )
                                                & ( in @ Y6 @ sK2 @ mactual )
                                                & ( qmltpeq @ Y4 @ Y6 @ mactual )
                                                & ( in @ Y5 @ sK1 @ mactual )
                                                & ( qmltpeq @ Y3 @ Y5 @ mactual )
                                                & ( young @ Y4 @ mactual )
                                                & ( man @ Y4 @ mactual )
                                                & ( fellow @ Y4 @ mactual )
                                                & ( young @ Y3 @ mactual )
                                                & ( man @ Y3 @ mactual )
                                                & ( fellow @ Y3 @ mactual )
                                                & ~ ( qmltpeq @ Y3 @ Y4 @ mactual )
                                                & ( in @ Y0 @ sK3 @ mactual )
                                                & ( down @ Y0 @ Y2 @ mactual )
                                                & ( barrel @ Y0 @ Y1 @ mactual )
                                                & ( lonely @ Y2 @ mactual )
                                                & ( way @ Y2 @ mactual )
                                                & ( street @ Y2 @ mactual )
                                                & ( old @ Y1 @ mactual )
                                                & ( dirty @ Y1 @ mactual )
                                                & ( white @ Y1 @ mactual )
                                                & ( car @ Y1 @ mactual )
                                                & ( chevy @ Y1 @ mactual )
                                                & ( event @ Y0 @ mactual )
                                                & ( city @ sK3 @ mactual )
                                                & ( hollywood @ sK3 @ mactual )
                                                & ( front @ sK2 @ mactual )
                                                & ( furniture @ sK2 @ mactual )
                                                & ( seat @ sK2 @ mactual )
                                                & ( front @ sK1 @ mactual )
                                                & ( furniture @ sK1 @ mactual )
                                                & ( seat @ sK1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) )
        @ sK4 )
      = $true )
    | ~ spl0_1 ),
    inference(sigma_proxy_clausification,[],[f357]) ).

thf(f364,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 )
                                            & ( in @ Y5 @ sK2 @ mactual )
                                            & ( qmltpeq @ Y3 @ Y5 @ mactual )
                                            & ( in @ Y4 @ sK1 @ mactual )
                                            & ( qmltpeq @ Y2 @ Y4 @ mactual )
                                            & ( young @ Y3 @ mactual )
                                            & ( man @ Y3 @ mactual )
                                            & ( fellow @ Y3 @ mactual )
                                            & ( young @ Y2 @ mactual )
                                            & ( man @ Y2 @ mactual )
                                            & ( fellow @ Y2 @ mactual )
                                            & ~ ( qmltpeq @ Y2 @ Y3 @ mactual )
                                            & ( in @ sK4 @ sK3 @ mactual )
                                            & ( down @ sK4 @ Y1 @ mactual )
                                            & ( barrel @ sK4 @ Y0 @ mactual )
                                            & ( lonely @ Y1 @ mactual )
                                            & ( way @ Y1 @ mactual )
                                            & ( street @ Y1 @ mactual )
                                            & ( old @ Y0 @ mactual )
                                            & ( dirty @ Y0 @ mactual )
                                            & ( white @ Y0 @ mactual )
                                            & ( car @ Y0 @ mactual )
                                            & ( chevy @ Y0 @ mactual )
                                            & ( event @ sK4 @ mactual )
                                            & ( city @ sK3 @ mactual )
                                            & ( hollywood @ sK3 @ mactual )
                                            & ( front @ sK2 @ mactual )
                                            & ( furniture @ sK2 @ mactual )
                                            & ( seat @ sK2 @ mactual )
                                            & ( front @ sK1 @ mactual )
                                            & ( furniture @ sK1 @ mactual )
                                            & ( seat @ sK1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) )
      = $true )
    | ~ spl0_1 ),
    inference(beta-eta_normalization,[],[f361]) ).

thf(f365,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 )
                                          & ( in @ Y5 @ sK2 @ mactual )
                                          & ( qmltpeq @ Y3 @ Y5 @ mactual )
                                          & ( in @ Y4 @ sK1 @ mactual )
                                          & ( qmltpeq @ Y2 @ Y4 @ mactual )
                                          & ( young @ Y3 @ mactual )
                                          & ( man @ Y3 @ mactual )
                                          & ( fellow @ Y3 @ mactual )
                                          & ( young @ Y2 @ mactual )
                                          & ( man @ Y2 @ mactual )
                                          & ( fellow @ Y2 @ mactual )
                                          & ~ ( qmltpeq @ Y2 @ Y3 @ mactual )
                                          & ( in @ sK4 @ sK3 @ mactual )
                                          & ( down @ sK4 @ Y1 @ mactual )
                                          & ( barrel @ sK4 @ Y0 @ mactual )
                                          & ( lonely @ Y1 @ mactual )
                                          & ( way @ Y1 @ mactual )
                                          & ( street @ Y1 @ mactual )
                                          & ( old @ Y0 @ mactual )
                                          & ( dirty @ Y0 @ mactual )
                                          & ( white @ Y0 @ mactual )
                                          & ( car @ Y0 @ mactual )
                                          & ( chevy @ Y0 @ mactual )
                                          & ( event @ sK4 @ mactual )
                                          & ( city @ sK3 @ mactual )
                                          & ( hollywood @ sK3 @ mactual )
                                          & ( front @ sK2 @ mactual )
                                          & ( furniture @ sK2 @ mactual )
                                          & ( seat @ sK2 @ mactual )
                                          & ( front @ sK1 @ mactual )
                                          & ( furniture @ sK1 @ mactual )
                                          & ( seat @ sK1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f364]) ).

thf(f366,plain,
    ( ( ( eiw_di @ sK4 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f364]) ).

thf(f369,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 )
                                          & ( in @ Y5 @ sK2 @ mactual )
                                          & ( qmltpeq @ Y3 @ Y5 @ mactual )
                                          & ( in @ Y4 @ sK1 @ mactual )
                                          & ( qmltpeq @ Y2 @ Y4 @ mactual )
                                          & ( young @ Y3 @ mactual )
                                          & ( man @ Y3 @ mactual )
                                          & ( fellow @ Y3 @ mactual )
                                          & ( young @ Y2 @ mactual )
                                          & ( man @ Y2 @ mactual )
                                          & ( fellow @ Y2 @ mactual )
                                          & ~ ( qmltpeq @ Y2 @ Y3 @ mactual )
                                          & ( in @ sK4 @ sK3 @ mactual )
                                          & ( down @ sK4 @ Y1 @ mactual )
                                          & ( barrel @ sK4 @ Y0 @ mactual )
                                          & ( lonely @ Y1 @ mactual )
                                          & ( way @ Y1 @ mactual )
                                          & ( street @ Y1 @ mactual )
                                          & ( old @ Y0 @ mactual )
                                          & ( dirty @ Y0 @ mactual )
                                          & ( white @ Y0 @ mactual )
                                          & ( car @ Y0 @ mactual )
                                          & ( chevy @ Y0 @ mactual )
                                          & ( event @ sK4 @ mactual )
                                          & ( city @ sK3 @ mactual )
                                          & ( hollywood @ sK3 @ mactual )
                                          & ( front @ sK2 @ mactual )
                                          & ( furniture @ sK2 @ mactual )
                                          & ( seat @ sK2 @ mactual )
                                          & ( front @ sK1 @ mactual )
                                          & ( furniture @ sK1 @ mactual )
                                          & ( seat @ sK1 @ mactual ) ) ) ) ) ) ) ) ) ) ) )
        @ sK5 )
      = $true )
    | ~ spl0_1 ),
    inference(sigma_proxy_clausification,[],[f365]) ).

thf(f372,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 )
                                      & ( in @ Y4 @ sK2 @ mactual )
                                      & ( qmltpeq @ Y2 @ Y4 @ mactual )
                                      & ( in @ Y3 @ sK1 @ mactual )
                                      & ( qmltpeq @ Y1 @ Y3 @ mactual )
                                      & ( young @ Y2 @ mactual )
                                      & ( man @ Y2 @ mactual )
                                      & ( fellow @ Y2 @ mactual )
                                      & ( young @ Y1 @ mactual )
                                      & ( man @ Y1 @ mactual )
                                      & ( fellow @ Y1 @ mactual )
                                      & ~ ( qmltpeq @ Y1 @ Y2 @ mactual )
                                      & ( in @ sK4 @ sK3 @ mactual )
                                      & ( down @ sK4 @ Y0 @ mactual )
                                      & ( barrel @ sK4 @ sK5 @ mactual )
                                      & ( lonely @ Y0 @ mactual )
                                      & ( way @ Y0 @ mactual )
                                      & ( street @ Y0 @ mactual )
                                      & ( old @ sK5 @ mactual )
                                      & ( dirty @ sK5 @ mactual )
                                      & ( white @ sK5 @ mactual )
                                      & ( car @ sK5 @ mactual )
                                      & ( chevy @ sK5 @ mactual )
                                      & ( event @ sK4 @ mactual )
                                      & ( city @ sK3 @ mactual )
                                      & ( hollywood @ sK3 @ mactual )
                                      & ( front @ sK2 @ mactual )
                                      & ( furniture @ sK2 @ mactual )
                                      & ( seat @ sK2 @ mactual )
                                      & ( front @ sK1 @ mactual )
                                      & ( furniture @ sK1 @ mactual )
                                      & ( seat @ sK1 @ mactual ) ) ) ) ) ) ) ) ) ) ) )
      = $true )
    | ~ spl0_1 ),
    inference(beta-eta_normalization,[],[f369]) ).

thf(f373,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 )
                                    & ( in @ Y4 @ sK2 @ mactual )
                                    & ( qmltpeq @ Y2 @ Y4 @ mactual )
                                    & ( in @ Y3 @ sK1 @ mactual )
                                    & ( qmltpeq @ Y1 @ Y3 @ mactual )
                                    & ( young @ Y2 @ mactual )
                                    & ( man @ Y2 @ mactual )
                                    & ( fellow @ Y2 @ mactual )
                                    & ( young @ Y1 @ mactual )
                                    & ( man @ Y1 @ mactual )
                                    & ( fellow @ Y1 @ mactual )
                                    & ~ ( qmltpeq @ Y1 @ Y2 @ mactual )
                                    & ( in @ sK4 @ sK3 @ mactual )
                                    & ( down @ sK4 @ Y0 @ mactual )
                                    & ( barrel @ sK4 @ sK5 @ mactual )
                                    & ( lonely @ Y0 @ mactual )
                                    & ( way @ Y0 @ mactual )
                                    & ( street @ Y0 @ mactual )
                                    & ( old @ sK5 @ mactual )
                                    & ( dirty @ sK5 @ mactual )
                                    & ( white @ sK5 @ mactual )
                                    & ( car @ sK5 @ mactual )
                                    & ( chevy @ sK5 @ mactual )
                                    & ( event @ sK4 @ mactual )
                                    & ( city @ sK3 @ mactual )
                                    & ( hollywood @ sK3 @ mactual )
                                    & ( front @ sK2 @ mactual )
                                    & ( furniture @ sK2 @ mactual )
                                    & ( seat @ sK2 @ mactual )
                                    & ( front @ sK1 @ mactual )
                                    & ( furniture @ sK1 @ mactual )
                                    & ( seat @ sK1 @ mactual ) ) ) ) ) ) ) ) ) ) )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f372]) ).

thf(f374,plain,
    ( ( $true
      = ( eiw_di @ sK5 @ mactual ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f372]) ).

thf(f377,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 )
                                    & ( in @ Y4 @ sK2 @ mactual )
                                    & ( qmltpeq @ Y2 @ Y4 @ mactual )
                                    & ( in @ Y3 @ sK1 @ mactual )
                                    & ( qmltpeq @ Y1 @ Y3 @ mactual )
                                    & ( young @ Y2 @ mactual )
                                    & ( man @ Y2 @ mactual )
                                    & ( fellow @ Y2 @ mactual )
                                    & ( young @ Y1 @ mactual )
                                    & ( man @ Y1 @ mactual )
                                    & ( fellow @ Y1 @ mactual )
                                    & ~ ( qmltpeq @ Y1 @ Y2 @ mactual )
                                    & ( in @ sK4 @ sK3 @ mactual )
                                    & ( down @ sK4 @ Y0 @ mactual )
                                    & ( barrel @ sK4 @ sK5 @ mactual )
                                    & ( lonely @ Y0 @ mactual )
                                    & ( way @ Y0 @ mactual )
                                    & ( street @ Y0 @ mactual )
                                    & ( old @ sK5 @ mactual )
                                    & ( dirty @ sK5 @ mactual )
                                    & ( white @ sK5 @ mactual )
                                    & ( car @ sK5 @ mactual )
                                    & ( chevy @ sK5 @ mactual )
                                    & ( event @ sK4 @ mactual )
                                    & ( city @ sK3 @ mactual )
                                    & ( hollywood @ sK3 @ mactual )
                                    & ( front @ sK2 @ mactual )
                                    & ( furniture @ sK2 @ mactual )
                                    & ( seat @ sK2 @ mactual )
                                    & ( front @ sK1 @ mactual )
                                    & ( furniture @ sK1 @ mactual )
                                    & ( seat @ sK1 @ mactual ) ) ) ) ) ) ) ) ) )
        @ sK6 )
      = $true )
    | ~ spl0_1 ),
    inference(sigma_proxy_clausification,[],[f373]) ).

thf(f379,plain,
    ( ( ( ( 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 )
                                & ( in @ Y3 @ sK2 @ mactual )
                                & ( qmltpeq @ Y1 @ Y3 @ mactual )
                                & ( in @ Y2 @ sK1 @ mactual )
                                & ( qmltpeq @ Y0 @ Y2 @ mactual )
                                & ( young @ Y1 @ mactual )
                                & ( man @ Y1 @ mactual )
                                & ( fellow @ Y1 @ mactual )
                                & ( young @ Y0 @ mactual )
                                & ( man @ Y0 @ mactual )
                                & ( fellow @ Y0 @ mactual )
                                & ~ ( qmltpeq @ Y0 @ Y1 @ mactual )
                                & ( in @ sK4 @ sK3 @ mactual )
                                & ( down @ sK4 @ sK6 @ mactual )
                                & ( barrel @ sK4 @ sK5 @ mactual )
                                & ( lonely @ sK6 @ mactual )
                                & ( way @ sK6 @ mactual )
                                & ( street @ sK6 @ mactual )
                                & ( old @ sK5 @ mactual )
                                & ( dirty @ sK5 @ mactual )
                                & ( white @ sK5 @ mactual )
                                & ( car @ sK5 @ mactual )
                                & ( chevy @ sK5 @ mactual )
                                & ( event @ sK4 @ mactual )
                                & ( city @ sK3 @ mactual )
                                & ( hollywood @ sK3 @ mactual )
                                & ( front @ sK2 @ mactual )
                                & ( furniture @ sK2 @ mactual )
                                & ( seat @ sK2 @ mactual )
                                & ( front @ sK1 @ mactual )
                                & ( furniture @ sK1 @ mactual )
                                & ( seat @ sK1 @ mactual ) ) ) ) ) ) ) ) ) )
      = $true )
    | ~ spl0_1 ),
    inference(beta-eta_normalization,[],[f377]) ).

thf(f381,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 )
                              & ( in @ Y3 @ sK2 @ mactual )
                              & ( qmltpeq @ Y1 @ Y3 @ mactual )
                              & ( in @ Y2 @ sK1 @ mactual )
                              & ( qmltpeq @ Y0 @ Y2 @ mactual )
                              & ( young @ Y1 @ mactual )
                              & ( man @ Y1 @ mactual )
                              & ( fellow @ Y1 @ mactual )
                              & ( young @ Y0 @ mactual )
                              & ( man @ Y0 @ mactual )
                              & ( fellow @ Y0 @ mactual )
                              & ~ ( qmltpeq @ Y0 @ Y1 @ mactual )
                              & ( in @ sK4 @ sK3 @ mactual )
                              & ( down @ sK4 @ sK6 @ mactual )
                              & ( barrel @ sK4 @ sK5 @ mactual )
                              & ( lonely @ sK6 @ mactual )
                              & ( way @ sK6 @ mactual )
                              & ( street @ sK6 @ mactual )
                              & ( old @ sK5 @ mactual )
                              & ( dirty @ sK5 @ mactual )
                              & ( white @ sK5 @ mactual )
                              & ( car @ sK5 @ mactual )
                              & ( chevy @ sK5 @ mactual )
                              & ( event @ sK4 @ mactual )
                              & ( city @ sK3 @ mactual )
                              & ( hollywood @ sK3 @ mactual )
                              & ( front @ sK2 @ mactual )
                              & ( furniture @ sK2 @ mactual )
                              & ( seat @ sK2 @ mactual )
                              & ( front @ sK1 @ mactual )
                              & ( furniture @ sK1 @ mactual )
                              & ( seat @ sK1 @ mactual ) ) ) ) ) ) ) ) ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f379]) ).

thf(f382,plain,
    ( ( ( eiw_di @ sK6 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f379]) ).

thf(f385,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 )
                              & ( in @ Y3 @ sK2 @ mactual )
                              & ( qmltpeq @ Y1 @ Y3 @ mactual )
                              & ( in @ Y2 @ sK1 @ mactual )
                              & ( qmltpeq @ Y0 @ Y2 @ mactual )
                              & ( young @ Y1 @ mactual )
                              & ( man @ Y1 @ mactual )
                              & ( fellow @ Y1 @ mactual )
                              & ( young @ Y0 @ mactual )
                              & ( man @ Y0 @ mactual )
                              & ( fellow @ Y0 @ mactual )
                              & ~ ( qmltpeq @ Y0 @ Y1 @ mactual )
                              & ( in @ sK4 @ sK3 @ mactual )
                              & ( down @ sK4 @ sK6 @ mactual )
                              & ( barrel @ sK4 @ sK5 @ mactual )
                              & ( lonely @ sK6 @ mactual )
                              & ( way @ sK6 @ mactual )
                              & ( street @ sK6 @ mactual )
                              & ( old @ sK5 @ mactual )
                              & ( dirty @ sK5 @ mactual )
                              & ( white @ sK5 @ mactual )
                              & ( car @ sK5 @ mactual )
                              & ( chevy @ sK5 @ mactual )
                              & ( event @ sK4 @ mactual )
                              & ( city @ sK3 @ mactual )
                              & ( hollywood @ sK3 @ mactual )
                              & ( front @ sK2 @ mactual )
                              & ( furniture @ sK2 @ mactual )
                              & ( seat @ sK2 @ mactual )
                              & ( front @ sK1 @ mactual )
                              & ( furniture @ sK1 @ mactual )
                              & ( seat @ sK1 @ mactual ) ) ) ) ) ) ) )
        @ sK7 ) )
    | ~ spl0_1 ),
    inference(sigma_proxy_clausification,[],[f381]) ).

thf(f388,plain,
    ( ( $true
      = ( ( 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 )
                          & ( in @ Y2 @ sK2 @ mactual )
                          & ( qmltpeq @ Y0 @ Y2 @ mactual )
                          & ( in @ Y1 @ sK1 @ mactual )
                          & ( qmltpeq @ sK7 @ Y1 @ mactual )
                          & ( young @ Y0 @ mactual )
                          & ( man @ Y0 @ mactual )
                          & ( fellow @ Y0 @ mactual )
                          & ( young @ sK7 @ mactual )
                          & ( man @ sK7 @ mactual )
                          & ( fellow @ sK7 @ mactual )
                          & ~ ( qmltpeq @ sK7 @ Y0 @ mactual )
                          & ( in @ sK4 @ sK3 @ mactual )
                          & ( down @ sK4 @ sK6 @ mactual )
                          & ( barrel @ sK4 @ sK5 @ mactual )
                          & ( lonely @ sK6 @ mactual )
                          & ( way @ sK6 @ mactual )
                          & ( street @ sK6 @ mactual )
                          & ( old @ sK5 @ mactual )
                          & ( dirty @ sK5 @ mactual )
                          & ( white @ sK5 @ mactual )
                          & ( car @ sK5 @ mactual )
                          & ( chevy @ sK5 @ mactual )
                          & ( event @ sK4 @ mactual )
                          & ( city @ sK3 @ mactual )
                          & ( hollywood @ sK3 @ mactual )
                          & ( front @ sK2 @ mactual )
                          & ( furniture @ sK2 @ mactual )
                          & ( seat @ sK2 @ mactual )
                          & ( front @ sK1 @ mactual )
                          & ( furniture @ sK1 @ mactual )
                          & ( seat @ sK1 @ mactual ) ) ) ) ) ) ) ) )
    | ~ spl0_1 ),
    inference(beta-eta_normalization,[],[f385]) ).

thf(f389,plain,
    ( ( $true
      = ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ mactual )
                        & ( in @ Y2 @ sK2 @ mactual )
                        & ( qmltpeq @ Y0 @ Y2 @ mactual )
                        & ( in @ Y1 @ sK1 @ mactual )
                        & ( qmltpeq @ sK7 @ Y1 @ mactual )
                        & ( young @ Y0 @ mactual )
                        & ( man @ Y0 @ mactual )
                        & ( fellow @ Y0 @ mactual )
                        & ( young @ sK7 @ mactual )
                        & ( man @ sK7 @ mactual )
                        & ( fellow @ sK7 @ mactual )
                        & ~ ( qmltpeq @ sK7 @ Y0 @ mactual )
                        & ( in @ sK4 @ sK3 @ mactual )
                        & ( down @ sK4 @ sK6 @ mactual )
                        & ( barrel @ sK4 @ sK5 @ mactual )
                        & ( lonely @ sK6 @ mactual )
                        & ( way @ sK6 @ mactual )
                        & ( street @ sK6 @ mactual )
                        & ( old @ sK5 @ mactual )
                        & ( dirty @ sK5 @ mactual )
                        & ( white @ sK5 @ mactual )
                        & ( car @ sK5 @ mactual )
                        & ( chevy @ sK5 @ mactual )
                        & ( event @ sK4 @ mactual )
                        & ( city @ sK3 @ mactual )
                        & ( hollywood @ sK3 @ mactual )
                        & ( front @ sK2 @ mactual )
                        & ( furniture @ sK2 @ mactual )
                        & ( seat @ sK2 @ mactual )
                        & ( front @ sK1 @ mactual )
                        & ( furniture @ sK1 @ mactual )
                        & ( seat @ sK1 @ mactual ) ) ) ) ) ) ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f388]) ).

thf(f390,plain,
    ( ( ( eiw_di @ sK7 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f388]) ).

thf(f393,plain,
    ( ( ( ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ mactual )
                        & ( in @ Y2 @ sK2 @ mactual )
                        & ( qmltpeq @ Y0 @ Y2 @ mactual )
                        & ( in @ Y1 @ sK1 @ mactual )
                        & ( qmltpeq @ sK7 @ Y1 @ mactual )
                        & ( young @ Y0 @ mactual )
                        & ( man @ Y0 @ mactual )
                        & ( fellow @ Y0 @ mactual )
                        & ( young @ sK7 @ mactual )
                        & ( man @ sK7 @ mactual )
                        & ( fellow @ sK7 @ mactual )
                        & ~ ( qmltpeq @ sK7 @ Y0 @ mactual )
                        & ( in @ sK4 @ sK3 @ mactual )
                        & ( down @ sK4 @ sK6 @ mactual )
                        & ( barrel @ sK4 @ sK5 @ mactual )
                        & ( lonely @ sK6 @ mactual )
                        & ( way @ sK6 @ mactual )
                        & ( street @ sK6 @ mactual )
                        & ( old @ sK5 @ mactual )
                        & ( dirty @ sK5 @ mactual )
                        & ( white @ sK5 @ mactual )
                        & ( car @ sK5 @ mactual )
                        & ( chevy @ sK5 @ mactual )
                        & ( event @ sK4 @ mactual )
                        & ( city @ sK3 @ mactual )
                        & ( hollywood @ sK3 @ mactual )
                        & ( front @ sK2 @ mactual )
                        & ( furniture @ sK2 @ mactual )
                        & ( seat @ sK2 @ mactual )
                        & ( front @ sK1 @ mactual )
                        & ( furniture @ sK1 @ mactual )
                        & ( seat @ sK1 @ mactual ) ) ) ) ) )
        @ sK8 )
      = $true )
    | ~ spl0_1 ),
    inference(sigma_proxy_clausification,[],[f389]) ).

thf(f396,plain,
    ( ( $true
      = ( ( eiw_di @ sK8 @ mactual )
        & ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( in @ Y1 @ sK2 @ mactual )
                    & ( qmltpeq @ sK8 @ Y1 @ mactual )
                    & ( in @ Y0 @ sK1 @ mactual )
                    & ( qmltpeq @ sK7 @ Y0 @ mactual )
                    & ( young @ sK8 @ mactual )
                    & ( man @ sK8 @ mactual )
                    & ( fellow @ sK8 @ mactual )
                    & ( young @ sK7 @ mactual )
                    & ( man @ sK7 @ mactual )
                    & ( fellow @ sK7 @ mactual )
                    & ~ ( qmltpeq @ sK7 @ sK8 @ mactual )
                    & ( in @ sK4 @ sK3 @ mactual )
                    & ( down @ sK4 @ sK6 @ mactual )
                    & ( barrel @ sK4 @ sK5 @ mactual )
                    & ( lonely @ sK6 @ mactual )
                    & ( way @ sK6 @ mactual )
                    & ( street @ sK6 @ mactual )
                    & ( old @ sK5 @ mactual )
                    & ( dirty @ sK5 @ mactual )
                    & ( white @ sK5 @ mactual )
                    & ( car @ sK5 @ mactual )
                    & ( chevy @ sK5 @ mactual )
                    & ( event @ sK4 @ mactual )
                    & ( city @ sK3 @ mactual )
                    & ( hollywood @ sK3 @ mactual )
                    & ( front @ sK2 @ mactual )
                    & ( furniture @ sK2 @ mactual )
                    & ( seat @ sK2 @ mactual )
                    & ( front @ sK1 @ mactual )
                    & ( furniture @ sK1 @ mactual )
                    & ( seat @ sK1 @ mactual ) ) ) ) ) ) )
    | ~ spl0_1 ),
    inference(beta-eta_normalization,[],[f393]) ).

thf(f397,plain,
    ( ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( in @ Y1 @ sK2 @ mactual )
                  & ( qmltpeq @ sK8 @ Y1 @ mactual )
                  & ( in @ Y0 @ sK1 @ mactual )
                  & ( qmltpeq @ sK7 @ Y0 @ mactual )
                  & ( young @ sK8 @ mactual )
                  & ( man @ sK8 @ mactual )
                  & ( fellow @ sK8 @ mactual )
                  & ( young @ sK7 @ mactual )
                  & ( man @ sK7 @ mactual )
                  & ( fellow @ sK7 @ mactual )
                  & ~ ( qmltpeq @ sK7 @ sK8 @ mactual )
                  & ( in @ sK4 @ sK3 @ mactual )
                  & ( down @ sK4 @ sK6 @ mactual )
                  & ( barrel @ sK4 @ sK5 @ mactual )
                  & ( lonely @ sK6 @ mactual )
                  & ( way @ sK6 @ mactual )
                  & ( street @ sK6 @ mactual )
                  & ( old @ sK5 @ mactual )
                  & ( dirty @ sK5 @ mactual )
                  & ( white @ sK5 @ mactual )
                  & ( car @ sK5 @ mactual )
                  & ( chevy @ sK5 @ mactual )
                  & ( event @ sK4 @ mactual )
                  & ( city @ sK3 @ mactual )
                  & ( hollywood @ sK3 @ mactual )
                  & ( front @ sK2 @ mactual )
                  & ( furniture @ sK2 @ mactual )
                  & ( seat @ sK2 @ mactual )
                  & ( front @ sK1 @ mactual )
                  & ( furniture @ sK1 @ mactual )
                  & ( seat @ sK1 @ mactual ) ) ) ) )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f396]) ).

thf(f398,plain,
    ( ( ( eiw_di @ sK8 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f396]) ).

thf(f401,plain,
    ( ( $true
      = ( ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( in @ Y1 @ sK2 @ mactual )
                  & ( qmltpeq @ sK8 @ Y1 @ mactual )
                  & ( in @ Y0 @ sK1 @ mactual )
                  & ( qmltpeq @ sK7 @ Y0 @ mactual )
                  & ( young @ sK8 @ mactual )
                  & ( man @ sK8 @ mactual )
                  & ( fellow @ sK8 @ mactual )
                  & ( young @ sK7 @ mactual )
                  & ( man @ sK7 @ mactual )
                  & ( fellow @ sK7 @ mactual )
                  & ~ ( qmltpeq @ sK7 @ sK8 @ mactual )
                  & ( in @ sK4 @ sK3 @ mactual )
                  & ( down @ sK4 @ sK6 @ mactual )
                  & ( barrel @ sK4 @ sK5 @ mactual )
                  & ( lonely @ sK6 @ mactual )
                  & ( way @ sK6 @ mactual )
                  & ( street @ sK6 @ mactual )
                  & ( old @ sK5 @ mactual )
                  & ( dirty @ sK5 @ mactual )
                  & ( white @ sK5 @ mactual )
                  & ( car @ sK5 @ mactual )
                  & ( chevy @ sK5 @ mactual )
                  & ( event @ sK4 @ mactual )
                  & ( city @ sK3 @ mactual )
                  & ( hollywood @ sK3 @ mactual )
                  & ( front @ sK2 @ mactual )
                  & ( furniture @ sK2 @ mactual )
                  & ( seat @ sK2 @ mactual )
                  & ( front @ sK1 @ mactual )
                  & ( furniture @ sK1 @ mactual )
                  & ( seat @ sK1 @ mactual ) ) ) )
        @ sK9 ) )
    | ~ spl0_1 ),
    inference(sigma_proxy_clausification,[],[f397]) ).

thf(f403,plain,
    ( ( $true
      = ( ( eiw_di @ sK9 @ mactual )
        & ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( in @ Y0 @ sK2 @ mactual )
              & ( qmltpeq @ sK8 @ Y0 @ mactual )
              & ( in @ sK9 @ sK1 @ mactual )
              & ( qmltpeq @ sK7 @ sK9 @ mactual )
              & ( young @ sK8 @ mactual )
              & ( man @ sK8 @ mactual )
              & ( fellow @ sK8 @ mactual )
              & ( young @ sK7 @ mactual )
              & ( man @ sK7 @ mactual )
              & ( fellow @ sK7 @ mactual )
              & ~ ( qmltpeq @ sK7 @ sK8 @ mactual )
              & ( in @ sK4 @ sK3 @ mactual )
              & ( down @ sK4 @ sK6 @ mactual )
              & ( barrel @ sK4 @ sK5 @ mactual )
              & ( lonely @ sK6 @ mactual )
              & ( way @ sK6 @ mactual )
              & ( street @ sK6 @ mactual )
              & ( old @ sK5 @ mactual )
              & ( dirty @ sK5 @ mactual )
              & ( white @ sK5 @ mactual )
              & ( car @ sK5 @ mactual )
              & ( chevy @ sK5 @ mactual )
              & ( event @ sK4 @ mactual )
              & ( city @ sK3 @ mactual )
              & ( hollywood @ sK3 @ mactual )
              & ( front @ sK2 @ mactual )
              & ( furniture @ sK2 @ mactual )
              & ( seat @ sK2 @ mactual )
              & ( front @ sK1 @ mactual )
              & ( furniture @ sK1 @ mactual )
              & ( seat @ sK1 @ mactual ) ) ) ) )
    | ~ spl0_1 ),
    inference(beta-eta_normalization,[],[f401]) ).

thf(f405,plain,
    ( ( $true
      = ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( in @ Y0 @ sK2 @ mactual )
            & ( qmltpeq @ sK8 @ Y0 @ mactual )
            & ( in @ sK9 @ sK1 @ mactual )
            & ( qmltpeq @ sK7 @ sK9 @ mactual )
            & ( young @ sK8 @ mactual )
            & ( man @ sK8 @ mactual )
            & ( fellow @ sK8 @ mactual )
            & ( young @ sK7 @ mactual )
            & ( man @ sK7 @ mactual )
            & ( fellow @ sK7 @ mactual )
            & ~ ( qmltpeq @ sK7 @ sK8 @ mactual )
            & ( in @ sK4 @ sK3 @ mactual )
            & ( down @ sK4 @ sK6 @ mactual )
            & ( barrel @ sK4 @ sK5 @ mactual )
            & ( lonely @ sK6 @ mactual )
            & ( way @ sK6 @ mactual )
            & ( street @ sK6 @ mactual )
            & ( old @ sK5 @ mactual )
            & ( dirty @ sK5 @ mactual )
            & ( white @ sK5 @ mactual )
            & ( car @ sK5 @ mactual )
            & ( chevy @ sK5 @ mactual )
            & ( event @ sK4 @ mactual )
            & ( city @ sK3 @ mactual )
            & ( hollywood @ sK3 @ mactual )
            & ( front @ sK2 @ mactual )
            & ( furniture @ sK2 @ mactual )
            & ( seat @ sK2 @ mactual )
            & ( front @ sK1 @ mactual )
            & ( furniture @ sK1 @ mactual )
            & ( seat @ sK1 @ mactual ) ) ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f403]) ).

thf(f406,plain,
    ( ( $true
      = ( eiw_di @ sK9 @ mactual ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f403]) ).

thf(f409,plain,
    ( ( ( ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( in @ Y0 @ sK2 @ mactual )
            & ( qmltpeq @ sK8 @ Y0 @ mactual )
            & ( in @ sK9 @ sK1 @ mactual )
            & ( qmltpeq @ sK7 @ sK9 @ mactual )
            & ( young @ sK8 @ mactual )
            & ( man @ sK8 @ mactual )
            & ( fellow @ sK8 @ mactual )
            & ( young @ sK7 @ mactual )
            & ( man @ sK7 @ mactual )
            & ( fellow @ sK7 @ mactual )
            & ~ ( qmltpeq @ sK7 @ sK8 @ mactual )
            & ( in @ sK4 @ sK3 @ mactual )
            & ( down @ sK4 @ sK6 @ mactual )
            & ( barrel @ sK4 @ sK5 @ mactual )
            & ( lonely @ sK6 @ mactual )
            & ( way @ sK6 @ mactual )
            & ( street @ sK6 @ mactual )
            & ( old @ sK5 @ mactual )
            & ( dirty @ sK5 @ mactual )
            & ( white @ sK5 @ mactual )
            & ( car @ sK5 @ mactual )
            & ( chevy @ sK5 @ mactual )
            & ( event @ sK4 @ mactual )
            & ( city @ sK3 @ mactual )
            & ( hollywood @ sK3 @ mactual )
            & ( front @ sK2 @ mactual )
            & ( furniture @ sK2 @ mactual )
            & ( seat @ sK2 @ mactual )
            & ( front @ sK1 @ mactual )
            & ( furniture @ sK1 @ mactual )
            & ( seat @ sK1 @ mactual ) )
        @ sK10 )
      = $true )
    | ~ spl0_1 ),
    inference(sigma_proxy_clausification,[],[f405]) ).

thf(f412,plain,
    ( ( $true
      = ( ( eiw_di @ sK10 @ mactual )
        & ( in @ sK10 @ sK2 @ mactual )
        & ( qmltpeq @ sK8 @ sK10 @ mactual )
        & ( in @ sK9 @ sK1 @ mactual )
        & ( qmltpeq @ sK7 @ sK9 @ mactual )
        & ( young @ sK8 @ mactual )
        & ( man @ sK8 @ mactual )
        & ( fellow @ sK8 @ mactual )
        & ( young @ sK7 @ mactual )
        & ( man @ sK7 @ mactual )
        & ( fellow @ sK7 @ mactual )
        & ~ ( qmltpeq @ sK7 @ sK8 @ mactual )
        & ( in @ sK4 @ sK3 @ mactual )
        & ( down @ sK4 @ sK6 @ mactual )
        & ( barrel @ sK4 @ sK5 @ mactual )
        & ( lonely @ sK6 @ mactual )
        & ( way @ sK6 @ mactual )
        & ( street @ sK6 @ mactual )
        & ( old @ sK5 @ mactual )
        & ( dirty @ sK5 @ mactual )
        & ( white @ sK5 @ mactual )
        & ( car @ sK5 @ mactual )
        & ( chevy @ sK5 @ mactual )
        & ( event @ sK4 @ mactual )
        & ( city @ sK3 @ mactual )
        & ( hollywood @ sK3 @ mactual )
        & ( front @ sK2 @ mactual )
        & ( furniture @ sK2 @ mactual )
        & ( seat @ sK2 @ mactual )
        & ( front @ sK1 @ mactual )
        & ( furniture @ sK1 @ mactual )
        & ( seat @ sK1 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(beta-eta_normalization,[],[f409]) ).

thf(f413,plain,
    ( ( ( ( in @ sK10 @ sK2 @ mactual )
        & ( qmltpeq @ sK8 @ sK10 @ mactual )
        & ( in @ sK9 @ sK1 @ mactual )
        & ( qmltpeq @ sK7 @ sK9 @ mactual )
        & ( young @ sK8 @ mactual )
        & ( man @ sK8 @ mactual )
        & ( fellow @ sK8 @ mactual )
        & ( young @ sK7 @ mactual )
        & ( man @ sK7 @ mactual )
        & ( fellow @ sK7 @ mactual )
        & ~ ( qmltpeq @ sK7 @ sK8 @ mactual )
        & ( in @ sK4 @ sK3 @ mactual )
        & ( down @ sK4 @ sK6 @ mactual )
        & ( barrel @ sK4 @ sK5 @ mactual )
        & ( lonely @ sK6 @ mactual )
        & ( way @ sK6 @ mactual )
        & ( street @ sK6 @ mactual )
        & ( old @ sK5 @ mactual )
        & ( dirty @ sK5 @ mactual )
        & ( white @ sK5 @ mactual )
        & ( car @ sK5 @ mactual )
        & ( chevy @ sK5 @ mactual )
        & ( event @ sK4 @ mactual )
        & ( city @ sK3 @ mactual )
        & ( hollywood @ sK3 @ mactual )
        & ( front @ sK2 @ mactual )
        & ( furniture @ sK2 @ mactual )
        & ( seat @ sK2 @ mactual )
        & ( front @ sK1 @ mactual )
        & ( furniture @ sK1 @ mactual )
        & ( seat @ sK1 @ mactual ) )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f412]) ).

thf(f414,plain,
    ( ( $true
      = ( eiw_di @ sK10 @ mactual ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f412]) ).

thf(f415,plain,
    ( ( ( seat @ sK1 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f413]) ).

thf(f416,plain,
    ( ( ( ( in @ sK10 @ sK2 @ mactual )
        & ( qmltpeq @ sK8 @ sK10 @ mactual )
        & ( in @ sK9 @ sK1 @ mactual )
        & ( qmltpeq @ sK7 @ sK9 @ mactual )
        & ( young @ sK8 @ mactual )
        & ( man @ sK8 @ mactual )
        & ( fellow @ sK8 @ mactual )
        & ( young @ sK7 @ mactual )
        & ( man @ sK7 @ mactual )
        & ( fellow @ sK7 @ mactual )
        & ~ ( qmltpeq @ sK7 @ sK8 @ mactual )
        & ( in @ sK4 @ sK3 @ mactual )
        & ( down @ sK4 @ sK6 @ mactual )
        & ( barrel @ sK4 @ sK5 @ mactual )
        & ( lonely @ sK6 @ mactual )
        & ( way @ sK6 @ mactual )
        & ( street @ sK6 @ mactual )
        & ( old @ sK5 @ mactual )
        & ( dirty @ sK5 @ mactual )
        & ( white @ sK5 @ mactual )
        & ( car @ sK5 @ mactual )
        & ( chevy @ sK5 @ mactual )
        & ( event @ sK4 @ mactual )
        & ( city @ sK3 @ mactual )
        & ( hollywood @ sK3 @ mactual )
        & ( front @ sK2 @ mactual )
        & ( furniture @ sK2 @ mactual )
        & ( seat @ sK2 @ mactual )
        & ( front @ sK1 @ mactual )
        & ( furniture @ sK1 @ mactual ) )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f413]) ).

thf(f417,plain,
    ( ( ( furniture @ sK1 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f416]) ).

thf(f418,plain,
    ( ( ( ( in @ sK10 @ sK2 @ mactual )
        & ( qmltpeq @ sK8 @ sK10 @ mactual )
        & ( in @ sK9 @ sK1 @ mactual )
        & ( qmltpeq @ sK7 @ sK9 @ mactual )
        & ( young @ sK8 @ mactual )
        & ( man @ sK8 @ mactual )
        & ( fellow @ sK8 @ mactual )
        & ( young @ sK7 @ mactual )
        & ( man @ sK7 @ mactual )
        & ( fellow @ sK7 @ mactual )
        & ~ ( qmltpeq @ sK7 @ sK8 @ mactual )
        & ( in @ sK4 @ sK3 @ mactual )
        & ( down @ sK4 @ sK6 @ mactual )
        & ( barrel @ sK4 @ sK5 @ mactual )
        & ( lonely @ sK6 @ mactual )
        & ( way @ sK6 @ mactual )
        & ( street @ sK6 @ mactual )
        & ( old @ sK5 @ mactual )
        & ( dirty @ sK5 @ mactual )
        & ( white @ sK5 @ mactual )
        & ( car @ sK5 @ mactual )
        & ( chevy @ sK5 @ mactual )
        & ( event @ sK4 @ mactual )
        & ( city @ sK3 @ mactual )
        & ( hollywood @ sK3 @ mactual )
        & ( front @ sK2 @ mactual )
        & ( furniture @ sK2 @ mactual )
        & ( seat @ sK2 @ mactual )
        & ( front @ sK1 @ mactual ) )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f416]) ).

thf(f419,plain,
    ( ( $true
      = ( front @ sK1 @ mactual ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f418]) ).

thf(f420,plain,
    ( ( ( ( in @ sK10 @ sK2 @ mactual )
        & ( qmltpeq @ sK8 @ sK10 @ mactual )
        & ( in @ sK9 @ sK1 @ mactual )
        & ( qmltpeq @ sK7 @ sK9 @ mactual )
        & ( young @ sK8 @ mactual )
        & ( man @ sK8 @ mactual )
        & ( fellow @ sK8 @ mactual )
        & ( young @ sK7 @ mactual )
        & ( man @ sK7 @ mactual )
        & ( fellow @ sK7 @ mactual )
        & ~ ( qmltpeq @ sK7 @ sK8 @ mactual )
        & ( in @ sK4 @ sK3 @ mactual )
        & ( down @ sK4 @ sK6 @ mactual )
        & ( barrel @ sK4 @ sK5 @ mactual )
        & ( lonely @ sK6 @ mactual )
        & ( way @ sK6 @ mactual )
        & ( street @ sK6 @ mactual )
        & ( old @ sK5 @ mactual )
        & ( dirty @ sK5 @ mactual )
        & ( white @ sK5 @ mactual )
        & ( car @ sK5 @ mactual )
        & ( chevy @ sK5 @ mactual )
        & ( event @ sK4 @ mactual )
        & ( city @ sK3 @ mactual )
        & ( hollywood @ sK3 @ mactual )
        & ( front @ sK2 @ mactual )
        & ( furniture @ sK2 @ mactual )
        & ( seat @ sK2 @ mactual ) )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f418]) ).

thf(f421,plain,
    ( ( ( seat @ sK2 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f420]) ).

thf(f422,plain,
    ( ( ( ( in @ sK10 @ sK2 @ mactual )
        & ( qmltpeq @ sK8 @ sK10 @ mactual )
        & ( in @ sK9 @ sK1 @ mactual )
        & ( qmltpeq @ sK7 @ sK9 @ mactual )
        & ( young @ sK8 @ mactual )
        & ( man @ sK8 @ mactual )
        & ( fellow @ sK8 @ mactual )
        & ( young @ sK7 @ mactual )
        & ( man @ sK7 @ mactual )
        & ( fellow @ sK7 @ mactual )
        & ~ ( qmltpeq @ sK7 @ sK8 @ mactual )
        & ( in @ sK4 @ sK3 @ mactual )
        & ( down @ sK4 @ sK6 @ mactual )
        & ( barrel @ sK4 @ sK5 @ mactual )
        & ( lonely @ sK6 @ mactual )
        & ( way @ sK6 @ mactual )
        & ( street @ sK6 @ mactual )
        & ( old @ sK5 @ mactual )
        & ( dirty @ sK5 @ mactual )
        & ( white @ sK5 @ mactual )
        & ( car @ sK5 @ mactual )
        & ( chevy @ sK5 @ mactual )
        & ( event @ sK4 @ mactual )
        & ( city @ sK3 @ mactual )
        & ( hollywood @ sK3 @ mactual )
        & ( front @ sK2 @ mactual )
        & ( furniture @ sK2 @ mactual ) )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f420]) ).

thf(f423,plain,
    ( ( ( furniture @ sK2 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f422]) ).

thf(f424,plain,
    ( ( $true
      = ( ( in @ sK10 @ sK2 @ mactual )
        & ( qmltpeq @ sK8 @ sK10 @ mactual )
        & ( in @ sK9 @ sK1 @ mactual )
        & ( qmltpeq @ sK7 @ sK9 @ mactual )
        & ( young @ sK8 @ mactual )
        & ( man @ sK8 @ mactual )
        & ( fellow @ sK8 @ mactual )
        & ( young @ sK7 @ mactual )
        & ( man @ sK7 @ mactual )
        & ( fellow @ sK7 @ mactual )
        & ~ ( qmltpeq @ sK7 @ sK8 @ mactual )
        & ( in @ sK4 @ sK3 @ mactual )
        & ( down @ sK4 @ sK6 @ mactual )
        & ( barrel @ sK4 @ sK5 @ mactual )
        & ( lonely @ sK6 @ mactual )
        & ( way @ sK6 @ mactual )
        & ( street @ sK6 @ mactual )
        & ( old @ sK5 @ mactual )
        & ( dirty @ sK5 @ mactual )
        & ( white @ sK5 @ mactual )
        & ( car @ sK5 @ mactual )
        & ( chevy @ sK5 @ mactual )
        & ( event @ sK4 @ mactual )
        & ( city @ sK3 @ mactual )
        & ( hollywood @ sK3 @ mactual )
        & ( front @ sK2 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f422]) ).

thf(f425,plain,
    ( ( $true
      = ( front @ sK2 @ mactual ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f424]) ).

thf(f426,plain,
    ( ( ( ( in @ sK10 @ sK2 @ mactual )
        & ( qmltpeq @ sK8 @ sK10 @ mactual )
        & ( in @ sK9 @ sK1 @ mactual )
        & ( qmltpeq @ sK7 @ sK9 @ mactual )
        & ( young @ sK8 @ mactual )
        & ( man @ sK8 @ mactual )
        & ( fellow @ sK8 @ mactual )
        & ( young @ sK7 @ mactual )
        & ( man @ sK7 @ mactual )
        & ( fellow @ sK7 @ mactual )
        & ~ ( qmltpeq @ sK7 @ sK8 @ mactual )
        & ( in @ sK4 @ sK3 @ mactual )
        & ( down @ sK4 @ sK6 @ mactual )
        & ( barrel @ sK4 @ sK5 @ mactual )
        & ( lonely @ sK6 @ mactual )
        & ( way @ sK6 @ mactual )
        & ( street @ sK6 @ mactual )
        & ( old @ sK5 @ mactual )
        & ( dirty @ sK5 @ mactual )
        & ( white @ sK5 @ mactual )
        & ( car @ sK5 @ mactual )
        & ( chevy @ sK5 @ mactual )
        & ( event @ sK4 @ mactual )
        & ( city @ sK3 @ mactual )
        & ( hollywood @ sK3 @ mactual ) )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f424]) ).

thf(f427,plain,
    ( ( ( hollywood @ sK3 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f426]) ).

thf(f428,plain,
    ( ( ( ( in @ sK10 @ sK2 @ mactual )
        & ( qmltpeq @ sK8 @ sK10 @ mactual )
        & ( in @ sK9 @ sK1 @ mactual )
        & ( qmltpeq @ sK7 @ sK9 @ mactual )
        & ( young @ sK8 @ mactual )
        & ( man @ sK8 @ mactual )
        & ( fellow @ sK8 @ mactual )
        & ( young @ sK7 @ mactual )
        & ( man @ sK7 @ mactual )
        & ( fellow @ sK7 @ mactual )
        & ~ ( qmltpeq @ sK7 @ sK8 @ mactual )
        & ( in @ sK4 @ sK3 @ mactual )
        & ( down @ sK4 @ sK6 @ mactual )
        & ( barrel @ sK4 @ sK5 @ mactual )
        & ( lonely @ sK6 @ mactual )
        & ( way @ sK6 @ mactual )
        & ( street @ sK6 @ mactual )
        & ( old @ sK5 @ mactual )
        & ( dirty @ sK5 @ mactual )
        & ( white @ sK5 @ mactual )
        & ( car @ sK5 @ mactual )
        & ( chevy @ sK5 @ mactual )
        & ( event @ sK4 @ mactual )
        & ( city @ sK3 @ mactual ) )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f426]) ).

thf(f429,plain,
    ( ( ( city @ sK3 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f428]) ).

thf(f430,plain,
    ( ( ( ( in @ sK10 @ sK2 @ mactual )
        & ( qmltpeq @ sK8 @ sK10 @ mactual )
        & ( in @ sK9 @ sK1 @ mactual )
        & ( qmltpeq @ sK7 @ sK9 @ mactual )
        & ( young @ sK8 @ mactual )
        & ( man @ sK8 @ mactual )
        & ( fellow @ sK8 @ mactual )
        & ( young @ sK7 @ mactual )
        & ( man @ sK7 @ mactual )
        & ( fellow @ sK7 @ mactual )
        & ~ ( qmltpeq @ sK7 @ sK8 @ mactual )
        & ( in @ sK4 @ sK3 @ mactual )
        & ( down @ sK4 @ sK6 @ mactual )
        & ( barrel @ sK4 @ sK5 @ mactual )
        & ( lonely @ sK6 @ mactual )
        & ( way @ sK6 @ mactual )
        & ( street @ sK6 @ mactual )
        & ( old @ sK5 @ mactual )
        & ( dirty @ sK5 @ mactual )
        & ( white @ sK5 @ mactual )
        & ( car @ sK5 @ mactual )
        & ( chevy @ sK5 @ mactual )
        & ( event @ sK4 @ mactual ) )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f428]) ).

thf(f431,plain,
    ( ( $true
      = ( event @ sK4 @ mactual ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f430]) ).

thf(f432,plain,
    ( ( ( ( in @ sK10 @ sK2 @ mactual )
        & ( qmltpeq @ sK8 @ sK10 @ mactual )
        & ( in @ sK9 @ sK1 @ mactual )
        & ( qmltpeq @ sK7 @ sK9 @ mactual )
        & ( young @ sK8 @ mactual )
        & ( man @ sK8 @ mactual )
        & ( fellow @ sK8 @ mactual )
        & ( young @ sK7 @ mactual )
        & ( man @ sK7 @ mactual )
        & ( fellow @ sK7 @ mactual )
        & ~ ( qmltpeq @ sK7 @ sK8 @ mactual )
        & ( in @ sK4 @ sK3 @ mactual )
        & ( down @ sK4 @ sK6 @ mactual )
        & ( barrel @ sK4 @ sK5 @ mactual )
        & ( lonely @ sK6 @ mactual )
        & ( way @ sK6 @ mactual )
        & ( street @ sK6 @ mactual )
        & ( old @ sK5 @ mactual )
        & ( dirty @ sK5 @ mactual )
        & ( white @ sK5 @ mactual )
        & ( car @ sK5 @ mactual )
        & ( chevy @ sK5 @ mactual ) )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f430]) ).

thf(f433,plain,
    ( ( ( chevy @ sK5 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f432]) ).

thf(f434,plain,
    ( ( ( ( in @ sK10 @ sK2 @ mactual )
        & ( qmltpeq @ sK8 @ sK10 @ mactual )
        & ( in @ sK9 @ sK1 @ mactual )
        & ( qmltpeq @ sK7 @ sK9 @ mactual )
        & ( young @ sK8 @ mactual )
        & ( man @ sK8 @ mactual )
        & ( fellow @ sK8 @ mactual )
        & ( young @ sK7 @ mactual )
        & ( man @ sK7 @ mactual )
        & ( fellow @ sK7 @ mactual )
        & ~ ( qmltpeq @ sK7 @ sK8 @ mactual )
        & ( in @ sK4 @ sK3 @ mactual )
        & ( down @ sK4 @ sK6 @ mactual )
        & ( barrel @ sK4 @ sK5 @ mactual )
        & ( lonely @ sK6 @ mactual )
        & ( way @ sK6 @ mactual )
        & ( street @ sK6 @ mactual )
        & ( old @ sK5 @ mactual )
        & ( dirty @ sK5 @ mactual )
        & ( white @ sK5 @ mactual )
        & ( car @ sK5 @ mactual ) )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f432]) ).

thf(f435,plain,
    ( ( ( car @ sK5 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f434]) ).

thf(f436,plain,
    ( ( ( ( in @ sK10 @ sK2 @ mactual )
        & ( qmltpeq @ sK8 @ sK10 @ mactual )
        & ( in @ sK9 @ sK1 @ mactual )
        & ( qmltpeq @ sK7 @ sK9 @ mactual )
        & ( young @ sK8 @ mactual )
        & ( man @ sK8 @ mactual )
        & ( fellow @ sK8 @ mactual )
        & ( young @ sK7 @ mactual )
        & ( man @ sK7 @ mactual )
        & ( fellow @ sK7 @ mactual )
        & ~ ( qmltpeq @ sK7 @ sK8 @ mactual )
        & ( in @ sK4 @ sK3 @ mactual )
        & ( down @ sK4 @ sK6 @ mactual )
        & ( barrel @ sK4 @ sK5 @ mactual )
        & ( lonely @ sK6 @ mactual )
        & ( way @ sK6 @ mactual )
        & ( street @ sK6 @ mactual )
        & ( old @ sK5 @ mactual )
        & ( dirty @ sK5 @ mactual )
        & ( white @ sK5 @ mactual ) )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f434]) ).

thf(f437,plain,
    ( ( ( white @ sK5 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f436]) ).

thf(f438,plain,
    ( ( $true
      = ( ( in @ sK10 @ sK2 @ mactual )
        & ( qmltpeq @ sK8 @ sK10 @ mactual )
        & ( in @ sK9 @ sK1 @ mactual )
        & ( qmltpeq @ sK7 @ sK9 @ mactual )
        & ( young @ sK8 @ mactual )
        & ( man @ sK8 @ mactual )
        & ( fellow @ sK8 @ mactual )
        & ( young @ sK7 @ mactual )
        & ( man @ sK7 @ mactual )
        & ( fellow @ sK7 @ mactual )
        & ~ ( qmltpeq @ sK7 @ sK8 @ mactual )
        & ( in @ sK4 @ sK3 @ mactual )
        & ( down @ sK4 @ sK6 @ mactual )
        & ( barrel @ sK4 @ sK5 @ mactual )
        & ( lonely @ sK6 @ mactual )
        & ( way @ sK6 @ mactual )
        & ( street @ sK6 @ mactual )
        & ( old @ sK5 @ mactual )
        & ( dirty @ sK5 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f436]) ).

thf(f439,plain,
    ( ( $true
      = ( dirty @ sK5 @ mactual ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f438]) ).

thf(f440,plain,
    ( ( ( ( in @ sK10 @ sK2 @ mactual )
        & ( qmltpeq @ sK8 @ sK10 @ mactual )
        & ( in @ sK9 @ sK1 @ mactual )
        & ( qmltpeq @ sK7 @ sK9 @ mactual )
        & ( young @ sK8 @ mactual )
        & ( man @ sK8 @ mactual )
        & ( fellow @ sK8 @ mactual )
        & ( young @ sK7 @ mactual )
        & ( man @ sK7 @ mactual )
        & ( fellow @ sK7 @ mactual )
        & ~ ( qmltpeq @ sK7 @ sK8 @ mactual )
        & ( in @ sK4 @ sK3 @ mactual )
        & ( down @ sK4 @ sK6 @ mactual )
        & ( barrel @ sK4 @ sK5 @ mactual )
        & ( lonely @ sK6 @ mactual )
        & ( way @ sK6 @ mactual )
        & ( street @ sK6 @ mactual )
        & ( old @ sK5 @ mactual ) )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f438]) ).

thf(f441,plain,
    ( ( $true
      = ( old @ sK5 @ mactual ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f440]) ).

thf(f442,plain,
    ( ( ( ( in @ sK10 @ sK2 @ mactual )
        & ( qmltpeq @ sK8 @ sK10 @ mactual )
        & ( in @ sK9 @ sK1 @ mactual )
        & ( qmltpeq @ sK7 @ sK9 @ mactual )
        & ( young @ sK8 @ mactual )
        & ( man @ sK8 @ mactual )
        & ( fellow @ sK8 @ mactual )
        & ( young @ sK7 @ mactual )
        & ( man @ sK7 @ mactual )
        & ( fellow @ sK7 @ mactual )
        & ~ ( qmltpeq @ sK7 @ sK8 @ mactual )
        & ( in @ sK4 @ sK3 @ mactual )
        & ( down @ sK4 @ sK6 @ mactual )
        & ( barrel @ sK4 @ sK5 @ mactual )
        & ( lonely @ sK6 @ mactual )
        & ( way @ sK6 @ mactual )
        & ( street @ sK6 @ mactual ) )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f440]) ).

thf(f443,plain,
    ( ( $true
      = ( street @ sK6 @ mactual ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f442]) ).

thf(f444,plain,
    ( ( ( ( in @ sK10 @ sK2 @ mactual )
        & ( qmltpeq @ sK8 @ sK10 @ mactual )
        & ( in @ sK9 @ sK1 @ mactual )
        & ( qmltpeq @ sK7 @ sK9 @ mactual )
        & ( young @ sK8 @ mactual )
        & ( man @ sK8 @ mactual )
        & ( fellow @ sK8 @ mactual )
        & ( young @ sK7 @ mactual )
        & ( man @ sK7 @ mactual )
        & ( fellow @ sK7 @ mactual )
        & ~ ( qmltpeq @ sK7 @ sK8 @ mactual )
        & ( in @ sK4 @ sK3 @ mactual )
        & ( down @ sK4 @ sK6 @ mactual )
        & ( barrel @ sK4 @ sK5 @ mactual )
        & ( lonely @ sK6 @ mactual )
        & ( way @ sK6 @ mactual ) )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f442]) ).

thf(f445,plain,
    ( ( $true
      = ( way @ sK6 @ mactual ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f444]) ).

thf(f446,plain,
    ( ( ( ( in @ sK10 @ sK2 @ mactual )
        & ( qmltpeq @ sK8 @ sK10 @ mactual )
        & ( in @ sK9 @ sK1 @ mactual )
        & ( qmltpeq @ sK7 @ sK9 @ mactual )
        & ( young @ sK8 @ mactual )
        & ( man @ sK8 @ mactual )
        & ( fellow @ sK8 @ mactual )
        & ( young @ sK7 @ mactual )
        & ( man @ sK7 @ mactual )
        & ( fellow @ sK7 @ mactual )
        & ~ ( qmltpeq @ sK7 @ sK8 @ mactual )
        & ( in @ sK4 @ sK3 @ mactual )
        & ( down @ sK4 @ sK6 @ mactual )
        & ( barrel @ sK4 @ sK5 @ mactual )
        & ( lonely @ sK6 @ mactual ) )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f444]) ).

thf(f447,plain,
    ( ( $true
      = ( lonely @ sK6 @ mactual ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f446]) ).

thf(f448,plain,
    ( ( ( ( in @ sK10 @ sK2 @ mactual )
        & ( qmltpeq @ sK8 @ sK10 @ mactual )
        & ( in @ sK9 @ sK1 @ mactual )
        & ( qmltpeq @ sK7 @ sK9 @ mactual )
        & ( young @ sK8 @ mactual )
        & ( man @ sK8 @ mactual )
        & ( fellow @ sK8 @ mactual )
        & ( young @ sK7 @ mactual )
        & ( man @ sK7 @ mactual )
        & ( fellow @ sK7 @ mactual )
        & ~ ( qmltpeq @ sK7 @ sK8 @ mactual )
        & ( in @ sK4 @ sK3 @ mactual )
        & ( down @ sK4 @ sK6 @ mactual )
        & ( barrel @ sK4 @ sK5 @ mactual ) )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f446]) ).

thf(f449,plain,
    ( ( ( barrel @ sK4 @ sK5 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f448]) ).

thf(f450,plain,
    ( ( ( ( in @ sK10 @ sK2 @ mactual )
        & ( qmltpeq @ sK8 @ sK10 @ mactual )
        & ( in @ sK9 @ sK1 @ mactual )
        & ( qmltpeq @ sK7 @ sK9 @ mactual )
        & ( young @ sK8 @ mactual )
        & ( man @ sK8 @ mactual )
        & ( fellow @ sK8 @ mactual )
        & ( young @ sK7 @ mactual )
        & ( man @ sK7 @ mactual )
        & ( fellow @ sK7 @ mactual )
        & ~ ( qmltpeq @ sK7 @ sK8 @ mactual )
        & ( in @ sK4 @ sK3 @ mactual )
        & ( down @ sK4 @ sK6 @ mactual ) )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f448]) ).

thf(f451,plain,
    ( ( ( down @ sK4 @ sK6 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f450]) ).

thf(f452,plain,
    ( ( ( ( in @ sK10 @ sK2 @ mactual )
        & ( qmltpeq @ sK8 @ sK10 @ mactual )
        & ( in @ sK9 @ sK1 @ mactual )
        & ( qmltpeq @ sK7 @ sK9 @ mactual )
        & ( young @ sK8 @ mactual )
        & ( man @ sK8 @ mactual )
        & ( fellow @ sK8 @ mactual )
        & ( young @ sK7 @ mactual )
        & ( man @ sK7 @ mactual )
        & ( fellow @ sK7 @ mactual )
        & ~ ( qmltpeq @ sK7 @ sK8 @ mactual )
        & ( in @ sK4 @ sK3 @ mactual ) )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f450]) ).

thf(f453,plain,
    ( ( $true
      = ( in @ sK4 @ sK3 @ mactual ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f452]) ).

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

thf(f455,plain,
    ( ( $true
      = ( ~ ( qmltpeq @ sK7 @ sK8 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f454]) ).

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

thf(f457,plain,
    ( ( ( qmltpeq @ sK7 @ sK8 @ mactual )
      = $false )
    | ~ spl0_1 ),
    inference(not_proxy_clausification,[],[f455]) ).

thf(f458,plain,
    ( ( $true
      = ( fellow @ sK7 @ mactual ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f456]) ).

thf(f459,plain,
    ( ( $true
      = ( ( in @ sK10 @ sK2 @ mactual )
        & ( qmltpeq @ sK8 @ sK10 @ mactual )
        & ( in @ sK9 @ sK1 @ mactual )
        & ( qmltpeq @ sK7 @ sK9 @ mactual )
        & ( young @ sK8 @ mactual )
        & ( man @ sK8 @ mactual )
        & ( fellow @ sK8 @ mactual )
        & ( young @ sK7 @ mactual )
        & ( man @ sK7 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f456]) ).

thf(f460,plain,
    ( ( ( man @ sK7 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f459]) ).

thf(f461,plain,
    ( ( $true
      = ( ( in @ sK10 @ sK2 @ mactual )
        & ( qmltpeq @ sK8 @ sK10 @ mactual )
        & ( in @ sK9 @ sK1 @ mactual )
        & ( qmltpeq @ sK7 @ sK9 @ mactual )
        & ( young @ sK8 @ mactual )
        & ( man @ sK8 @ mactual )
        & ( fellow @ sK8 @ mactual )
        & ( young @ sK7 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f459]) ).

thf(f462,plain,
    ( ( ( young @ sK7 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f461]) ).

thf(f463,plain,
    ( ( $true
      = ( ( in @ sK10 @ sK2 @ mactual )
        & ( qmltpeq @ sK8 @ sK10 @ mactual )
        & ( in @ sK9 @ sK1 @ mactual )
        & ( qmltpeq @ sK7 @ sK9 @ mactual )
        & ( young @ sK8 @ mactual )
        & ( man @ sK8 @ mactual )
        & ( fellow @ sK8 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f461]) ).

thf(f464,plain,
    ( ( $true
      = ( fellow @ sK8 @ mactual ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f463]) ).

thf(f465,plain,
    ( ( $true
      = ( ( in @ sK10 @ sK2 @ mactual )
        & ( qmltpeq @ sK8 @ sK10 @ mactual )
        & ( in @ sK9 @ sK1 @ mactual )
        & ( qmltpeq @ sK7 @ sK9 @ mactual )
        & ( young @ sK8 @ mactual )
        & ( man @ sK8 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f463]) ).

thf(f466,plain,
    ( ( ( man @ sK8 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f465]) ).

thf(f467,plain,
    ( ( ( ( in @ sK10 @ sK2 @ mactual )
        & ( qmltpeq @ sK8 @ sK10 @ mactual )
        & ( in @ sK9 @ sK1 @ mactual )
        & ( qmltpeq @ sK7 @ sK9 @ mactual )
        & ( young @ sK8 @ mactual ) )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f465]) ).

thf(f468,plain,
    ( ( ( young @ sK8 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f467]) ).

thf(f469,plain,
    ( ( ( ( in @ sK10 @ sK2 @ mactual )
        & ( qmltpeq @ sK8 @ sK10 @ mactual )
        & ( in @ sK9 @ sK1 @ mactual )
        & ( qmltpeq @ sK7 @ sK9 @ mactual ) )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f467]) ).

thf(f470,plain,
    ( ( ( qmltpeq @ sK7 @ sK9 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f469]) ).

thf(f471,plain,
    ( ( $true
      = ( ( in @ sK10 @ sK2 @ mactual )
        & ( qmltpeq @ sK8 @ sK10 @ mactual )
        & ( in @ sK9 @ sK1 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f469]) ).

thf(f472,plain,
    ( ( ( in @ sK9 @ sK1 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f471]) ).

thf(f473,plain,
    ( ( ( ( in @ sK10 @ sK2 @ mactual )
        & ( qmltpeq @ sK8 @ sK10 @ mactual ) )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f471]) ).

thf(f474,plain,
    ( ( $true
      = ( qmltpeq @ sK8 @ sK10 @ mactual ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f473]) ).

thf(f475,plain,
    ( ( ( in @ sK10 @ sK2 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f473]) ).

thf(f534,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ sK9 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( man @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( fellow @ X0 @ mactual )
          = $false )
        | ( ( in @ sK9 @ X2 @ mactual )
          = $false )
        | ( $false
          = ( qmltpeq @ X0 @ X3 @ mactual ) )
        | ( ( young @ sK7 @ mactual )
          = $false )
        | ( ( furniture @ X2 @ mactual )
          = $false )
        | ( $true = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( man @ sK7 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( $false
          = ( fellow @ sK7 @ mactual ) )
        | ( ( qmltpeq @ sK7 @ X0 @ mactual )
          = $true )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( young @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ sK7 @ mactual )
          = $false )
        | ( $false
          = ( in @ X3 @ X1 @ mactual ) ) )
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(superposition,[],[f313,f470]) ).

thf(f535,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( in @ sK9 @ X2 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( young @ sK7 @ mactual )
          = $false )
        | ( ( young @ X0 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( man @ X0 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( qmltpeq @ sK7 @ X0 @ mactual )
          = $true )
        | ( ( eiw_di @ sK9 @ mactual )
          = $false )
        | ( $false
          = ( qmltpeq @ X0 @ X3 @ mactual ) )
        | ( $false
          = ( in @ X3 @ X1 @ mactual ) )
        | ( ( furniture @ X2 @ mactual )
          = $false )
        | ( ( fellow @ X0 @ mactual )
          = $false )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( ( man @ sK7 @ mactual )
          = $false )
        | ( ( eiw_di @ sK7 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ sK7 @ mactual ) ) )
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f534]) ).

thf(f538,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( man @ sK7 @ mactual )
          = $false )
        | ( ( qmltpeq @ sK7 @ X0 @ mactual )
          = $true )
        | ( ( fellow @ X0 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( in @ sK9 @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( qmltpeq @ X0 @ X3 @ mactual ) )
        | ( ( young @ X0 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ sK7 @ mactual ) )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( eiw_di @ sK7 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ sK9 @ mactual )
          = $false )
        | ( $false
          = ( in @ X3 @ X1 @ mactual ) )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( $true = $false )
        | ( ( man @ X0 @ mactual )
          = $false )
        | ( ( furniture @ X2 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f535,f462]) ).

thf(f539,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( man @ sK7 @ mactual )
          = $false )
        | ( ( fellow @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ sK7 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( $false
          = ( qmltpeq @ X0 @ X3 @ mactual ) )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( in @ sK9 @ X2 @ mactual )
          = $false )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( ( qmltpeq @ sK7 @ X0 @ mactual )
          = $true )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( furniture @ X2 @ mactual )
          = $false )
        | ( ( man @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ sK9 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ sK7 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( $false
          = ( in @ X3 @ X1 @ mactual ) )
        | ( ( young @ X0 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) ) )
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f538]) ).

thf(f542,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( $false
          = ( qmltpeq @ X0 @ X3 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ sK7 @ mactual ) )
        | ( ( in @ sK9 @ X2 @ mactual )
          = $false )
        | ( $false
          = ( in @ X3 @ X1 @ mactual ) )
        | ( ( furniture @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( young @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ sK9 @ mactual )
          = $false )
        | ( ( man @ X0 @ mactual )
          = $false )
        | ( ( qmltpeq @ sK7 @ X0 @ mactual )
          = $true )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( fellow @ X0 @ mactual )
          = $false )
        | ( $true = $false )
        | ( ( eiw_di @ sK7 @ mactual )
          = $false )
        | ( $false
          = ( front @ X1 @ mactual ) ) )
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f539,f460]) ).

thf(f543,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( qmltpeq @ sK7 @ X0 @ mactual )
          = $true )
        | ( ( man @ X0 @ mactual )
          = $false )
        | ( ( furniture @ X2 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( in @ sK9 @ X2 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( young @ X0 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( $false
          = ( fellow @ sK7 @ mactual ) )
        | ( $false
          = ( in @ X3 @ X1 @ mactual ) )
        | ( ( eiw_di @ sK9 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( $false
          = ( qmltpeq @ X0 @ X3 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( fellow @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ sK7 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f542]) ).

thf(f546,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( man @ X0 @ mactual )
          = $false )
        | ( $false
          = ( in @ X3 @ X1 @ mactual ) )
        | ( ( eiw_di @ sK7 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ sK9 @ mactual )
          = $false )
        | ( $false
          = ( qmltpeq @ X0 @ X3 @ mactual ) )
        | ( ( in @ sK9 @ X2 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( fellow @ X0 @ mactual )
          = $false )
        | ( $true = $false )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( furniture @ X2 @ mactual )
          = $false )
        | ( ( qmltpeq @ sK7 @ X0 @ mactual )
          = $true )
        | ( ( young @ X0 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f543,f458]) ).

thf(f547,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( furniture @ X2 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ sK9 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( qmltpeq @ X0 @ X3 @ mactual ) )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( $false
          = ( in @ X3 @ X1 @ mactual ) )
        | ( ( qmltpeq @ sK7 @ X0 @ mactual )
          = $true )
        | ( ( man @ X0 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( in @ sK9 @ X2 @ mactual )
          = $false )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( ( eiw_di @ sK7 @ mactual )
          = $false )
        | ( ( young @ X0 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( fellow @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f546]) ).

thf(f550,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( furniture @ X2 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( in @ X3 @ X1 @ mactual ) )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( $true = $false )
        | ( ( in @ sK9 @ X2 @ mactual )
          = $false )
        | ( $false
          = ( qmltpeq @ X0 @ X3 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( young @ X0 @ mactual )
          = $false )
        | ( ( fellow @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( man @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ sK7 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( qmltpeq @ sK7 @ X0 @ mactual )
          = $true )
        | ( ( seat @ X1 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f547,f406]) ).

thf(f551,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( in @ sK9 @ X2 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( fellow @ X0 @ mactual )
          = $false )
        | ( $false
          = ( in @ X3 @ X1 @ mactual ) )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( qmltpeq @ sK7 @ X0 @ mactual )
          = $true )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( young @ X0 @ mactual )
          = $false )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( ( man @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( furniture @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ sK7 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( qmltpeq @ X0 @ X3 @ mactual ) )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( front @ X2 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f550]) ).

thf(f554,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( fellow @ X0 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( $false
          = ( in @ X3 @ X1 @ mactual ) )
        | ( ( young @ X0 @ mactual )
          = $false )
        | ( ( furniture @ X2 @ mactual )
          = $false )
        | ( ( qmltpeq @ sK7 @ X0 @ mactual )
          = $true )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( $false
          = ( qmltpeq @ X0 @ X3 @ mactual ) )
        | ( $true = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( man @ X0 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( in @ sK9 @ X2 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f551,f390]) ).

thf(f555,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( in @ sK9 @ X2 @ mactual )
          = $false )
        | ( ( young @ X0 @ mactual )
          = $false )
        | ( ( furniture @ X2 @ mactual )
          = $false )
        | ( $false
          = ( in @ X3 @ X1 @ mactual ) )
        | ( $false
          = ( qmltpeq @ X0 @ X3 @ mactual ) )
        | ( ( man @ X0 @ mactual )
          = $false )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( fellow @ X0 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( qmltpeq @ sK7 @ X0 @ mactual )
          = $true ) )
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f554]) ).

thf(f587,definition,
    ( spl0_5
  <=> ! [X2: $i] :
        ( ( ( front @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( furniture @ X2 @ mactual )
          = $false )
        | ( ( in @ sK9 @ X2 @ mactual )
          = $false ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

thf(f588,plain,
    ( ! [X2: $i] :
        ( ( ( in @ sK9 @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( furniture @ X2 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false ) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f587]) ).

thf(f590,definition,
    ( spl0_6
  <=> ! [X0: $i,X1: $i,X3: $i] :
        ( ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( qmltpeq @ sK7 @ X0 @ mactual )
          = $true )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( fellow @ X0 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( ( man @ X0 @ mactual )
          = $false )
        | ( ( young @ X0 @ mactual )
          = $false )
        | ( $false
          = ( qmltpeq @ X0 @ X3 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( in @ X3 @ X1 @ mactual ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

thf(f591,plain,
    ( ! [X3: $i,X0: $i,X1: $i] :
        ( ( $false
          = ( qmltpeq @ X0 @ X3 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( ( qmltpeq @ sK7 @ X0 @ mactual )
          = $true )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( man @ X0 @ mactual )
          = $false )
        | ( ( fellow @ X0 @ mactual )
          = $false )
        | ( ( young @ X0 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( $false
          = ( in @ X3 @ X1 @ mactual ) ) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f590]) ).

thf(f592,plain,
    ( spl0_5
    | spl0_6
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f555,f312,f222,f590,f587]) ).

thf(f595,plain,
    ( ( ( eiw_di @ sK1 @ mactual )
      = $false )
    | ( ( seat @ sK1 @ mactual )
      = $false )
    | ( $false
      = ( front @ sK1 @ mactual ) )
    | ( ( furniture @ sK1 @ mactual )
      = $false )
    | ( $true = $false )
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(superposition,[],[f588,f472]) ).

thf(f598,plain,
    ( ( $false
      = ( front @ sK1 @ mactual ) )
    | ( ( furniture @ sK1 @ mactual )
      = $false )
    | ( ( eiw_di @ sK1 @ mactual )
      = $false )
    | ( ( seat @ sK1 @ mactual )
      = $false )
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f595]) ).

thf(f601,plain,
    ( ( $true = $false )
    | ( ( furniture @ sK1 @ mactual )
      = $false )
    | ( ( eiw_di @ sK1 @ mactual )
      = $false )
    | ( ( seat @ sK1 @ mactual )
      = $false )
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f598,f419]) ).

thf(f602,plain,
    ( ( ( eiw_di @ sK1 @ mactual )
      = $false )
    | ( ( seat @ sK1 @ mactual )
      = $false )
    | ( ( furniture @ sK1 @ mactual )
      = $false )
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f601]) ).

thf(f605,plain,
    ( ( $true = $false )
    | ( ( furniture @ sK1 @ mactual )
      = $false )
    | ( ( seat @ sK1 @ mactual )
      = $false )
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f602,f342]) ).

thf(f606,plain,
    ( ( ( seat @ sK1 @ mactual )
      = $false )
    | ( ( furniture @ sK1 @ mactual )
      = $false )
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f605]) ).

thf(f609,plain,
    ( ( $true = $false )
    | ( ( furniture @ sK1 @ mactual )
      = $false )
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f606,f415]) ).

thf(f610,plain,
    ( ( ( furniture @ sK1 @ mactual )
      = $false )
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f609]) ).

thf(f615,plain,
    ( ( $true = $false )
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(superposition,[],[f417,f610]) ).

thf(f619,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f615]) ).

thf(f620,plain,
    ( ~ spl0_1
    | ~ spl0_5 ),
    inference(avatar_contradiction_clause,[],[f619]) ).

thf(f623,plain,
    ( ! [X0: $i] :
        ( ( ( qmltpeq @ sK7 @ sK8 @ mactual )
          = $true )
        | ( ( man @ sK8 @ mactual )
          = $false )
        | ( $true = $false )
        | ( ( eiw_di @ sK10 @ mactual )
          = $false )
        | ( ( front @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ sK8 @ mactual )
          = $false )
        | ( ( seat @ X0 @ mactual )
          = $false )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( ( young @ sK8 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( in @ sK10 @ X0 @ mactual )
          = $false )
        | ( ( fellow @ sK8 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(superposition,[],[f591,f474]) ).

thf(f632,plain,
    ( ! [X0: $i] :
        ( ( ( seat @ X0 @ mactual )
          = $false )
        | ( ( qmltpeq @ sK7 @ sK8 @ mactual )
          = $true )
        | ( ( in @ sK10 @ X0 @ mactual )
          = $false )
        | ( ( young @ sK8 @ mactual )
          = $false )
        | ( ( eiw_di @ sK8 @ mactual )
          = $false )
        | ( ( man @ sK8 @ mactual )
          = $false )
        | ( ( eiw_di @ sK10 @ mactual )
          = $false )
        | ( ( front @ X0 @ mactual )
          = $false )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( fellow @ sK8 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(trivial_inequality_removal,[],[f623]) ).

thf(f639,plain,
    ( ! [X0: $i] :
        ( ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( ( in @ sK10 @ X0 @ mactual )
          = $false )
        | ( ( seat @ X0 @ mactual )
          = $false )
        | ( ( young @ sK8 @ mactual )
          = $false )
        | ( ( front @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ sK8 @ mactual )
          = $false )
        | ( ( man @ sK8 @ mactual )
          = $false )
        | ( $true = $false )
        | ( ( eiw_di @ sK10 @ mactual )
          = $false )
        | ( ( fellow @ sK8 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f632,f457]) ).

thf(f640,plain,
    ( ! [X0: $i] :
        ( ( ( furniture @ X0 @ mactual )
          = $false )
        | ( ( front @ X0 @ mactual )
          = $false )
        | ( ( young @ sK8 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( fellow @ sK8 @ mactual )
          = $false )
        | ( ( eiw_di @ sK8 @ mactual )
          = $false )
        | ( ( eiw_di @ sK10 @ mactual )
          = $false )
        | ( ( seat @ X0 @ mactual )
          = $false )
        | ( ( man @ sK8 @ mactual )
          = $false )
        | ( ( in @ sK10 @ X0 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(trivial_inequality_removal,[],[f639]) ).

thf(f647,plain,
    ( ! [X0: $i] :
        ( ( ( eiw_di @ sK8 @ mactual )
          = $false )
        | ( ( fellow @ sK8 @ mactual )
          = $false )
        | ( ( eiw_di @ sK10 @ mactual )
          = $false )
        | ( ( man @ sK8 @ mactual )
          = $false )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( ( seat @ X0 @ mactual )
          = $false )
        | ( ( front @ X0 @ mactual )
          = $false )
        | ( ( in @ sK10 @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $true = $false ) )
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f640,f468]) ).

thf(f648,plain,
    ( ! [X0: $i] :
        ( ( ( seat @ X0 @ mactual )
          = $false )
        | ( ( front @ X0 @ mactual )
          = $false )
        | ( ( man @ sK8 @ mactual )
          = $false )
        | ( ( fellow @ sK8 @ mactual )
          = $false )
        | ( ( eiw_di @ sK8 @ mactual )
          = $false )
        | ( ( eiw_di @ sK10 @ mactual )
          = $false )
        | ( ( in @ sK10 @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( furniture @ X0 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(trivial_inequality_removal,[],[f647]) ).

thf(f655,plain,
    ( ! [X0: $i] :
        ( ( ( seat @ X0 @ mactual )
          = $false )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ sK10 @ mactual )
          = $false )
        | ( ( fellow @ sK8 @ mactual )
          = $false )
        | ( $true = $false )
        | ( ( in @ sK10 @ X0 @ mactual )
          = $false )
        | ( ( front @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ sK8 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f648,f466]) ).

thf(f656,plain,
    ( ! [X0: $i] :
        ( ( ( furniture @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ sK10 @ mactual )
          = $false )
        | ( ( seat @ X0 @ mactual )
          = $false )
        | ( ( in @ sK10 @ X0 @ mactual )
          = $false )
        | ( ( fellow @ sK8 @ mactual )
          = $false )
        | ( ( eiw_di @ sK8 @ mactual )
          = $false )
        | ( ( front @ X0 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(trivial_inequality_removal,[],[f655]) ).

thf(f663,plain,
    ( ! [X0: $i] :
        ( ( ( in @ sK10 @ X0 @ mactual )
          = $false )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( $true = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( fellow @ sK8 @ mactual )
          = $false )
        | ( ( seat @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ sK8 @ mactual )
          = $false )
        | ( ( front @ X0 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f656,f414]) ).

thf(f664,plain,
    ( ! [X0: $i] :
        ( ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( in @ sK10 @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ sK8 @ mactual )
          = $false )
        | ( ( fellow @ sK8 @ mactual )
          = $false )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( ( front @ X0 @ mactual )
          = $false )
        | ( ( seat @ X0 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(trivial_inequality_removal,[],[f663]) ).

thf(f671,plain,
    ( ! [X0: $i] :
        ( ( ( furniture @ X0 @ mactual )
          = $false )
        | ( ( seat @ X0 @ mactual )
          = $false )
        | ( ( fellow @ sK8 @ mactual )
          = $false )
        | ( ( in @ sK10 @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $true = $false )
        | ( ( front @ X0 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f664,f398]) ).

thf(f672,plain,
    ( ! [X0: $i] :
        ( ( ( seat @ X0 @ mactual )
          = $false )
        | ( ( fellow @ sK8 @ mactual )
          = $false )
        | ( ( in @ sK10 @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( front @ X0 @ mactual )
          = $false )
        | ( ( furniture @ X0 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(trivial_inequality_removal,[],[f671]) ).

thf(f679,plain,
    ( ! [X0: $i] :
        ( ( ( furniture @ X0 @ mactual )
          = $false )
        | ( ( front @ X0 @ mactual )
          = $false )
        | ( ( in @ sK10 @ X0 @ mactual )
          = $false )
        | ( ( seat @ X0 @ mactual )
          = $false )
        | ( $true = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f672,f464]) ).

thf(f680,plain,
    ( ! [X0: $i] :
        ( ( ( in @ sK10 @ X0 @ mactual )
          = $false )
        | ( ( seat @ X0 @ mactual )
          = $false )
        | ( ( front @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( furniture @ X0 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(trivial_inequality_removal,[],[f679]) ).

thf(f685,plain,
    ( ( $true = $false )
    | ( ( eiw_di @ sK2 @ mactual )
      = $false )
    | ( ( furniture @ sK2 @ mactual )
      = $false )
    | ( ( seat @ sK2 @ mactual )
      = $false )
    | ( ( front @ sK2 @ mactual )
      = $false )
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(superposition,[],[f475,f680]) ).

thf(f687,plain,
    ( ( ( furniture @ sK2 @ mactual )
      = $false )
    | ( ( front @ sK2 @ mactual )
      = $false )
    | ( ( seat @ sK2 @ mactual )
      = $false )
    | ( ( eiw_di @ sK2 @ mactual )
      = $false )
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(trivial_inequality_removal,[],[f685]) ).

thf(f689,plain,
    ( ( ( front @ sK2 @ mactual )
      = $false )
    | ( ( seat @ sK2 @ mactual )
      = $false )
    | ( $true = $false )
    | ( ( eiw_di @ sK2 @ mactual )
      = $false )
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f687,f423]) ).

thf(f690,plain,
    ( ( ( eiw_di @ sK2 @ mactual )
      = $false )
    | ( ( seat @ sK2 @ mactual )
      = $false )
    | ( ( front @ sK2 @ mactual )
      = $false )
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(trivial_inequality_removal,[],[f689]) ).

thf(f693,plain,
    ( ( $true = $false )
    | ( ( seat @ sK2 @ mactual )
      = $false )
    | ( ( front @ sK2 @ mactual )
      = $false )
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f690,f350]) ).

thf(f694,plain,
    ( ( ( front @ sK2 @ mactual )
      = $false )
    | ( ( seat @ sK2 @ mactual )
      = $false )
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(trivial_inequality_removal,[],[f693]) ).

thf(f697,plain,
    ( ( $true = $false )
    | ( ( seat @ sK2 @ mactual )
      = $false )
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f694,f425]) ).

thf(f698,plain,
    ( ( ( seat @ sK2 @ mactual )
      = $false )
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(trivial_inequality_removal,[],[f697]) ).

thf(f703,plain,
    ( ( $true = $false )
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(superposition,[],[f421,f698]) ).

thf(f707,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(trivial_inequality_removal,[],[f703]) ).

thf(f708,plain,
    ( ~ spl0_1
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f707]) ).

thf(f709,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( ( eiw_di @ sK4 @ mactual )
          = $false )
        | ( ( street @ X0 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( event @ sK4 @ mactual )
          = $false )
        | ( $false
          = ( in @ sK4 @ X1 @ mactual ) )
        | ( ( eiw_di @ sK5 @ mactual )
          = $false )
        | ( ( way @ X0 @ mactual )
          = $false )
        | ( ( car @ sK5 @ mactual )
          = $false )
        | ( ( dirty @ sK5 @ mactual )
          = $false )
        | ( ( chevy @ sK5 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( hollywood @ X1 @ mactual )
          = $false )
        | ( ( old @ sK5 @ mactual )
          = $false )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( $true = $false )
        | ( $false
          = ( down @ sK4 @ X0 @ mactual ) )
        | ( ( white @ sK5 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(superposition,[],[f316,f449]) ).

thf(f712,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( dirty @ sK5 @ mactual )
          = $false )
        | ( ( old @ sK5 @ mactual )
          = $false )
        | ( ( event @ sK4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( ( chevy @ sK5 @ mactual )
          = $false )
        | ( ( street @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ sK5 @ mactual )
          = $false )
        | ( ( way @ X0 @ mactual )
          = $false )
        | ( $false
          = ( in @ sK4 @ X1 @ mactual ) )
        | ( $false
          = ( down @ sK4 @ X0 @ mactual ) )
        | ( ( eiw_di @ sK4 @ mactual )
          = $false )
        | ( ( car @ sK5 @ mactual )
          = $false )
        | ( ( hollywood @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( white @ sK5 @ mactual )
          = $false )
        | ( $false
          = ( lonely @ X0 @ mactual ) ) )
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f709]) ).

thf(f715,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true = $false )
        | ( ( event @ sK4 @ mactual )
          = $false )
        | ( ( way @ X0 @ mactual )
          = $false )
        | ( ( street @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ sK4 @ mactual )
          = $false )
        | ( ( chevy @ sK5 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( hollywood @ X1 @ mactual )
          = $false )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( ( car @ sK5 @ mactual )
          = $false )
        | ( ( white @ sK5 @ mactual )
          = $false )
        | ( $false
          = ( down @ sK4 @ X0 @ mactual ) )
        | ( ( eiw_di @ sK5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( in @ sK4 @ X1 @ mactual ) )
        | ( ( old @ sK5 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f712,f439]) ).

thf(f716,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( car @ sK5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( way @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ sK5 @ mactual )
          = $false )
        | ( ( white @ sK5 @ mactual )
          = $false )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( ( chevy @ sK5 @ mactual )
          = $false )
        | ( ( event @ sK4 @ mactual )
          = $false )
        | ( ( hollywood @ X1 @ mactual )
          = $false )
        | ( $false
          = ( down @ sK4 @ X0 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( ( eiw_di @ sK4 @ mactual )
          = $false )
        | ( ( old @ sK5 @ mactual )
          = $false )
        | ( ( street @ X0 @ mactual )
          = $false )
        | ( $false
          = ( in @ sK4 @ X1 @ mactual ) ) )
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f715]) ).

thf(f719,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( event @ sK4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( hollywood @ X1 @ mactual )
          = $false )
        | ( ( street @ X0 @ mactual )
          = $false )
        | ( ( white @ sK5 @ mactual )
          = $false )
        | ( ( old @ sK5 @ mactual )
          = $false )
        | ( $false
          = ( in @ sK4 @ X1 @ mactual ) )
        | ( ( way @ X0 @ mactual )
          = $false )
        | ( ( chevy @ sK5 @ mactual )
          = $false )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( down @ sK4 @ X0 @ mactual ) )
        | ( ( eiw_di @ sK5 @ mactual )
          = $false )
        | ( $true = $false )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( ( eiw_di @ sK4 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f716,f435]) ).

thf(f720,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( event @ sK4 @ mactual )
          = $false )
        | ( ( white @ sK5 @ mactual )
          = $false )
        | ( ( street @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ sK5 @ mactual )
          = $false )
        | ( ( way @ X0 @ mactual )
          = $false )
        | ( ( old @ sK5 @ mactual )
          = $false )
        | ( $false
          = ( down @ sK4 @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false
          = ( in @ sK4 @ X1 @ mactual ) )
        | ( ( eiw_di @ sK4 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( chevy @ sK5 @ mactual )
          = $false )
        | ( ( hollywood @ X1 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f719]) ).

thf(f723,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( eiw_di @ sK5 @ mactual )
          = $false )
        | ( ( hollywood @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( chevy @ sK5 @ mactual )
          = $false )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( ( eiw_di @ sK4 @ mactual )
          = $false )
        | ( $true = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( street @ X0 @ mactual )
          = $false )
        | ( ( way @ X0 @ mactual )
          = $false )
        | ( ( white @ sK5 @ mactual )
          = $false )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false
          = ( down @ sK4 @ X0 @ mactual ) )
        | ( ( old @ sK5 @ mactual )
          = $false )
        | ( $false
          = ( in @ sK4 @ X1 @ mactual ) ) )
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f720,f431]) ).

thf(f724,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( down @ sK4 @ X0 @ mactual ) )
        | ( ( hollywood @ X1 @ mactual )
          = $false )
        | ( ( street @ X0 @ mactual )
          = $false )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( ( eiw_di @ sK5 @ mactual )
          = $false )
        | ( ( chevy @ sK5 @ mactual )
          = $false )
        | ( ( white @ sK5 @ mactual )
          = $false )
        | ( ( old @ sK5 @ mactual )
          = $false )
        | ( ( eiw_di @ sK4 @ mactual )
          = $false )
        | ( $false
          = ( in @ sK4 @ X1 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( way @ X0 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f723]) ).

thf(f727,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( down @ sK4 @ X0 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( white @ sK5 @ mactual )
          = $false )
        | ( ( way @ X0 @ mactual )
          = $false )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( ( hollywood @ X1 @ mactual )
          = $false )
        | ( ( street @ X0 @ mactual )
          = $false )
        | ( ( old @ sK5 @ mactual )
          = $false )
        | ( ( eiw_di @ sK4 @ mactual )
          = $false )
        | ( ( chevy @ sK5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( $true = $false )
        | ( $false
          = ( in @ sK4 @ X1 @ mactual ) ) )
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f724,f374]) ).

thf(f728,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( down @ sK4 @ X0 @ mactual ) )
        | ( ( eiw_di @ sK4 @ mactual )
          = $false )
        | ( ( white @ sK5 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( way @ X0 @ mactual )
          = $false )
        | ( ( hollywood @ X1 @ mactual )
          = $false )
        | ( ( chevy @ sK5 @ mactual )
          = $false )
        | ( ( street @ X0 @ mactual )
          = $false )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false
          = ( in @ sK4 @ X1 @ mactual ) )
        | ( ( old @ sK5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) ) )
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f727]) ).

thf(f731,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true = $false )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( ( white @ sK5 @ mactual )
          = $false )
        | ( ( way @ X0 @ mactual )
          = $false )
        | ( ( chevy @ sK5 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( in @ sK4 @ X1 @ mactual ) )
        | ( ( old @ sK5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( hollywood @ X1 @ mactual )
          = $false )
        | ( ( street @ X0 @ mactual )
          = $false )
        | ( $false
          = ( down @ sK4 @ X0 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) ) )
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f728,f366]) ).

thf(f732,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( way @ X0 @ mactual )
          = $false )
        | ( $false
          = ( in @ sK4 @ X1 @ mactual ) )
        | ( ( white @ sK5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( ( street @ X0 @ mactual )
          = $false )
        | ( $false
          = ( down @ sK4 @ X0 @ mactual ) )
        | ( ( hollywood @ X1 @ mactual )
          = $false )
        | ( ( chevy @ sK5 @ mactual )
          = $false )
        | ( ( old @ sK5 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f731]) ).

thf(f735,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( down @ sK4 @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( way @ X0 @ mactual )
          = $false )
        | ( ( street @ X0 @ mactual )
          = $false )
        | ( $false
          = ( in @ sK4 @ X1 @ mactual ) )
        | ( ( old @ sK5 @ mactual )
          = $false )
        | ( $true = $false )
        | ( ( chevy @ sK5 @ mactual )
          = $false )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( ( hollywood @ X1 @ mactual )
          = $false )
        | ( $false
          = ( city @ X1 @ mactual ) ) )
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f732,f437]) ).

thf(f736,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false
          = ( down @ sK4 @ X0 @ mactual ) )
        | ( ( way @ X0 @ mactual )
          = $false )
        | ( $false
          = ( in @ sK4 @ X1 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( ( old @ sK5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( street @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( hollywood @ X1 @ mactual )
          = $false )
        | ( ( chevy @ sK5 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f735]) ).

thf(f739,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( chevy @ sK5 @ mactual )
          = $false )
        | ( ( street @ X0 @ mactual )
          = $false )
        | ( ( hollywood @ X1 @ mactual )
          = $false )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $true = $false )
        | ( $false
          = ( in @ sK4 @ X1 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( down @ sK4 @ X0 @ mactual ) )
        | ( ( way @ X0 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f736,f441]) ).

thf(f740,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( down @ sK4 @ X0 @ mactual ) )
        | ( ( chevy @ sK5 @ mactual )
          = $false )
        | ( ( way @ X0 @ mactual )
          = $false )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( ( street @ X0 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( in @ sK4 @ X1 @ mactual ) )
        | ( ( hollywood @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( city @ X1 @ mactual ) ) )
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f739]) ).

thf(f743,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( city @ X1 @ mactual ) )
        | ( ( hollywood @ X1 @ mactual )
          = $false )
        | ( $false
          = ( in @ sK4 @ X1 @ mactual ) )
        | ( $true = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( street @ X0 @ mactual )
          = $false )
        | ( $false
          = ( down @ sK4 @ X0 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( way @ X0 @ mactual )
          = $false )
        | ( $false
          = ( lonely @ X0 @ mactual ) ) )
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f740,f433]) ).

thf(f744,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( in @ sK4 @ X1 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( street @ X0 @ mactual )
          = $false )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( ( way @ X0 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( down @ sK4 @ X0 @ mactual ) )
        | ( ( hollywood @ X1 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f743]) ).

thf(f748,definition,
    ( spl0_7
  <=> ! [X1: $i] :
        ( ( $false
          = ( in @ sK4 @ X1 @ mactual ) )
        | ( ( hollywood @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

thf(f749,plain,
    ( ! [X1: $i] :
        ( ( $false
          = ( in @ sK4 @ X1 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( hollywood @ X1 @ mactual )
          = $false ) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f748]) ).

thf(f751,definition,
    ( spl0_8
  <=> ! [X0: $i] :
        ( ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( down @ sK4 @ X0 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( ( way @ X0 @ mactual )
          = $false )
        | ( ( street @ X0 @ mactual )
          = $false ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

thf(f752,plain,
    ( ! [X0: $i] :
        ( ( $false
          = ( down @ sK4 @ X0 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( street @ X0 @ mactual )
          = $false )
        | ( ( way @ X0 @ mactual )
          = $false ) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f751]) ).

thf(f753,plain,
    ( spl0_7
    | spl0_8
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f744,f315,f222,f751,f748]) ).

thf(f754,plain,
    ( ( ( city @ sK3 @ mactual )
      = $false )
    | ( ( hollywood @ sK3 @ mactual )
      = $false )
    | ( ( eiw_di @ sK3 @ mactual )
      = $false )
    | ( $true = $false )
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(superposition,[],[f749,f453]) ).

thf(f758,plain,
    ( ( ( city @ sK3 @ mactual )
      = $false )
    | ( ( eiw_di @ sK3 @ mactual )
      = $false )
    | ( ( hollywood @ sK3 @ mactual )
      = $false )
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(trivial_inequality_removal,[],[f754]) ).

thf(f760,plain,
    ( ( $true = $false )
    | ( ( eiw_di @ sK3 @ mactual )
      = $false )
    | ( ( hollywood @ sK3 @ mactual )
      = $false )
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f758,f429]) ).

thf(f761,plain,
    ( ( ( hollywood @ sK3 @ mactual )
      = $false )
    | ( ( eiw_di @ sK3 @ mactual )
      = $false )
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(trivial_inequality_removal,[],[f760]) ).

thf(f764,plain,
    ( ( ( eiw_di @ sK3 @ mactual )
      = $false )
    | ( $true = $false )
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f761,f427]) ).

thf(f765,plain,
    ( ( ( eiw_di @ sK3 @ mactual )
      = $false )
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(trivial_inequality_removal,[],[f764]) ).

thf(f770,plain,
    ( ( $true = $false )
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(superposition,[],[f358,f765]) ).

thf(f773,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(trivial_inequality_removal,[],[f770]) ).

thf(f774,plain,
    ( ~ spl0_1
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f773]) ).

thf(f776,plain,
    ( ( $true = $false )
    | ( ( eiw_di @ sK6 @ mactual )
      = $false )
    | ( ( street @ sK6 @ mactual )
      = $false )
    | ( ( lonely @ sK6 @ mactual )
      = $false )
    | ( ( way @ sK6 @ mactual )
      = $false )
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(superposition,[],[f752,f451]) ).

thf(f779,plain,
    ( ( ( lonely @ sK6 @ mactual )
      = $false )
    | ( ( way @ sK6 @ mactual )
      = $false )
    | ( ( eiw_di @ sK6 @ mactual )
      = $false )
    | ( ( street @ sK6 @ mactual )
      = $false )
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f776]) ).

thf(f782,plain,
    ( ( ( eiw_di @ sK6 @ mactual )
      = $false )
    | ( $true = $false )
    | ( ( way @ sK6 @ mactual )
      = $false )
    | ( ( street @ sK6 @ mactual )
      = $false )
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f779,f447]) ).

thf(f783,plain,
    ( ( ( street @ sK6 @ mactual )
      = $false )
    | ( ( way @ sK6 @ mactual )
      = $false )
    | ( ( eiw_di @ sK6 @ mactual )
      = $false )
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f782]) ).

thf(f786,plain,
    ( ( ( way @ sK6 @ mactual )
      = $false )
    | ( ( eiw_di @ sK6 @ mactual )
      = $false )
    | ( $true = $false )
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f783,f443]) ).

thf(f787,plain,
    ( ( ( eiw_di @ sK6 @ mactual )
      = $false )
    | ( ( way @ sK6 @ mactual )
      = $false )
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f786]) ).

thf(f790,plain,
    ( ( ( way @ sK6 @ mactual )
      = $false )
    | ( $true = $false )
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f787,f382]) ).

thf(f791,plain,
    ( ( ( way @ sK6 @ mactual )
      = $false )
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f790]) ).

thf(f794,plain,
    ( ( $true = $false )
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(superposition,[],[f791,f445]) ).

thf(f799,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f794]) ).

thf(f800,plain,
    ( ~ spl0_1
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f799]) ).

thf(f802,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 )
                                                            & ( ?? @ $i
                                                              @ ^ [Y9: $i] :
                                                                  ( ( eiw_di @ Y9 @ mactual )
                                                                  & ( in @ Y9 @ Y1 @ mactual )
                                                                  & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                  & ( in @ Y8 @ Y0 @ mactual )
                                                                  & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                  & ( young @ Y7 @ mactual )
                                                                  & ( man @ Y7 @ mactual )
                                                                  & ( fellow @ Y7 @ mactual )
                                                                  & ( young @ Y6 @ mactual )
                                                                  & ( man @ Y6 @ mactual )
                                                                  & ( fellow @ Y6 @ mactual )
                                                                  & ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
                                                                  & ( in @ Y3 @ Y2 @ mactual )
                                                                  & ( down @ Y3 @ Y4 @ mactual )
                                                                  & ( barrel @ Y3 @ Y5 @ mactual )
                                                                  & ( old @ Y5 @ mactual )
                                                                  & ( dirty @ Y5 @ mactual )
                                                                  & ( white @ Y5 @ mactual )
                                                                  & ( car @ Y5 @ mactual )
                                                                  & ( chevy @ Y5 @ mactual )
                                                                  & ( lonely @ Y4 @ mactual )
                                                                  & ( way @ Y4 @ mactual )
                                                                  & ( street @ Y4 @ mactual )
                                                                  & ( event @ Y3 @ mactual )
                                                                  & ( city @ Y2 @ mactual )
                                                                  & ( hollywood @ Y2 @ mactual )
                                                                  & ( front @ Y1 @ mactual )
                                                                  & ( furniture @ Y1 @ mactual )
                                                                  & ( seat @ Y1 @ mactual )
                                                                  & ( front @ Y0 @ mactual )
                                                                  & ( furniture @ Y0 @ mactual )
                                                                  & ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
        @ sK11 ) )
    | spl0_1 ),
    inference(sigma_proxy_clausification,[],[f223]) ).

thf(f806,plain,
    ( ( $true
      = ( ( 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 )
                                                              & ( in @ Y8 @ Y0 @ mactual )
                                                              & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                              & ( in @ Y7 @ sK11 @ mactual )
                                                              & ( qmltpeq @ Y5 @ Y7 @ mactual )
                                                              & ( young @ Y6 @ mactual )
                                                              & ( man @ Y6 @ mactual )
                                                              & ( fellow @ Y6 @ mactual )
                                                              & ( young @ Y5 @ mactual )
                                                              & ( man @ Y5 @ mactual )
                                                              & ( fellow @ Y5 @ mactual )
                                                              & ~ ( qmltpeq @ Y5 @ Y6 @ mactual )
                                                              & ( in @ Y2 @ Y1 @ mactual )
                                                              & ( down @ Y2 @ Y3 @ mactual )
                                                              & ( barrel @ Y2 @ Y4 @ mactual )
                                                              & ( old @ Y4 @ mactual )
                                                              & ( dirty @ Y4 @ mactual )
                                                              & ( white @ Y4 @ mactual )
                                                              & ( car @ Y4 @ mactual )
                                                              & ( chevy @ Y4 @ mactual )
                                                              & ( lonely @ Y3 @ mactual )
                                                              & ( way @ Y3 @ mactual )
                                                              & ( street @ Y3 @ mactual )
                                                              & ( event @ Y2 @ mactual )
                                                              & ( city @ Y1 @ mactual )
                                                              & ( hollywood @ Y1 @ mactual )
                                                              & ( front @ Y0 @ mactual )
                                                              & ( furniture @ Y0 @ mactual )
                                                              & ( seat @ Y0 @ mactual )
                                                              & ( front @ sK11 @ mactual )
                                                              & ( furniture @ sK11 @ mactual )
                                                              & ( seat @ sK11 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | spl0_1 ),
    inference(beta-eta_normalization,[],[f802]) ).

thf(f807,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 )
                                                            & ( in @ Y8 @ Y0 @ mactual )
                                                            & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                            & ( in @ Y7 @ sK11 @ mactual )
                                                            & ( qmltpeq @ Y5 @ Y7 @ mactual )
                                                            & ( young @ Y6 @ mactual )
                                                            & ( man @ Y6 @ mactual )
                                                            & ( fellow @ Y6 @ mactual )
                                                            & ( young @ Y5 @ mactual )
                                                            & ( man @ Y5 @ mactual )
                                                            & ( fellow @ Y5 @ mactual )
                                                            & ~ ( qmltpeq @ Y5 @ Y6 @ mactual )
                                                            & ( in @ Y2 @ Y1 @ mactual )
                                                            & ( down @ Y2 @ Y3 @ mactual )
                                                            & ( barrel @ Y2 @ Y4 @ mactual )
                                                            & ( old @ Y4 @ mactual )
                                                            & ( dirty @ Y4 @ mactual )
                                                            & ( white @ Y4 @ mactual )
                                                            & ( car @ Y4 @ mactual )
                                                            & ( chevy @ Y4 @ mactual )
                                                            & ( lonely @ Y3 @ mactual )
                                                            & ( way @ Y3 @ mactual )
                                                            & ( street @ Y3 @ mactual )
                                                            & ( event @ Y2 @ mactual )
                                                            & ( city @ Y1 @ mactual )
                                                            & ( hollywood @ Y1 @ mactual )
                                                            & ( front @ Y0 @ mactual )
                                                            & ( furniture @ Y0 @ mactual )
                                                            & ( seat @ Y0 @ mactual )
                                                            & ( front @ sK11 @ mactual )
                                                            & ( furniture @ sK11 @ mactual )
                                                            & ( seat @ sK11 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f806]) ).

thf(f808,plain,
    ( ( ( eiw_di @ sK11 @ mactual )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f806]) ).

thf(f811,plain,
    ( ! [X1: $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 )
                                                                    & ( in @ Y9 @ Y1 @ mactual )
                                                                    & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                    & ( in @ Y8 @ Y0 @ mactual )
                                                                    & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                    & ( young @ Y7 @ mactual )
                                                                    & ( man @ Y7 @ mactual )
                                                                    & ( fellow @ Y7 @ mactual )
                                                                    & ( young @ Y6 @ mactual )
                                                                    & ( man @ Y6 @ mactual )
                                                                    & ( fellow @ Y6 @ mactual )
                                                                    & ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
                                                                    & ( in @ Y3 @ Y2 @ mactual )
                                                                    & ( down @ Y3 @ Y5 @ mactual )
                                                                    & ( barrel @ Y3 @ Y4 @ mactual )
                                                                    & ( lonely @ Y5 @ mactual )
                                                                    & ( way @ Y5 @ mactual )
                                                                    & ( street @ Y5 @ mactual )
                                                                    & ( old @ Y4 @ mactual )
                                                                    & ( dirty @ Y4 @ mactual )
                                                                    & ( white @ Y4 @ mactual )
                                                                    & ( car @ Y4 @ mactual )
                                                                    & ( chevy @ Y4 @ mactual )
                                                                    & ( event @ Y3 @ mactual )
                                                                    & ( city @ Y2 @ mactual )
                                                                    & ( hollywood @ Y2 @ mactual )
                                                                    & ( front @ Y1 @ mactual )
                                                                    & ( furniture @ Y1 @ mactual )
                                                                    & ( seat @ Y1 @ mactual )
                                                                    & ( front @ Y0 @ mactual )
                                                                    & ( furniture @ Y0 @ mactual )
                                                                    & ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
          @ X1 )
        = $false )
    | ~ spl0_2 ),
    inference(pi_proxy_clausification,[],[f228]) ).

thf(f813,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 )
                                                                & ( in @ Y8 @ Y0 @ mactual )
                                                                & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                & ( in @ Y7 @ X1 @ mactual )
                                                                & ( qmltpeq @ Y5 @ Y7 @ mactual )
                                                                & ( young @ Y6 @ mactual )
                                                                & ( man @ Y6 @ mactual )
                                                                & ( fellow @ Y6 @ mactual )
                                                                & ( young @ Y5 @ mactual )
                                                                & ( man @ Y5 @ mactual )
                                                                & ( fellow @ Y5 @ mactual )
                                                                & ~ ( qmltpeq @ Y5 @ Y6 @ mactual )
                                                                & ( in @ Y2 @ Y1 @ mactual )
                                                                & ( down @ Y2 @ Y4 @ mactual )
                                                                & ( barrel @ Y2 @ Y3 @ mactual )
                                                                & ( lonely @ Y4 @ mactual )
                                                                & ( way @ Y4 @ mactual )
                                                                & ( street @ Y4 @ mactual )
                                                                & ( old @ Y3 @ mactual )
                                                                & ( dirty @ Y3 @ mactual )
                                                                & ( white @ Y3 @ mactual )
                                                                & ( car @ Y3 @ mactual )
                                                                & ( chevy @ Y3 @ mactual )
                                                                & ( event @ Y2 @ mactual )
                                                                & ( city @ Y1 @ mactual )
                                                                & ( hollywood @ Y1 @ mactual )
                                                                & ( front @ Y0 @ mactual )
                                                                & ( furniture @ Y0 @ mactual )
                                                                & ( seat @ Y0 @ mactual )
                                                                & ( front @ X1 @ mactual )
                                                                & ( furniture @ X1 @ mactual )
                                                                & ( seat @ X1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
        = $false )
    | ~ spl0_2 ),
    inference(beta-eta_normalization,[],[f811]) ).

thf(f815,plain,
    ( ! [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 )
                                                          & ( ?? @ $i
                                                            @ ^ [Y8: $i] :
                                                                ( ( eiw_di @ Y8 @ mactual )
                                                                & ( in @ Y8 @ Y0 @ mactual )
                                                                & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                & ( in @ Y7 @ X1 @ mactual )
                                                                & ( qmltpeq @ Y5 @ Y7 @ mactual )
                                                                & ( young @ Y6 @ mactual )
                                                                & ( man @ Y6 @ mactual )
                                                                & ( fellow @ Y6 @ mactual )
                                                                & ( young @ Y5 @ mactual )
                                                                & ( man @ Y5 @ mactual )
                                                                & ( fellow @ Y5 @ mactual )
                                                                & ~ ( qmltpeq @ Y5 @ Y6 @ mactual )
                                                                & ( in @ Y2 @ Y1 @ mactual )
                                                                & ( down @ Y2 @ Y4 @ mactual )
                                                                & ( barrel @ Y2 @ Y3 @ mactual )
                                                                & ( lonely @ Y4 @ mactual )
                                                                & ( way @ Y4 @ mactual )
                                                                & ( street @ Y4 @ mactual )
                                                                & ( old @ Y3 @ mactual )
                                                                & ( dirty @ Y3 @ mactual )
                                                                & ( white @ Y3 @ mactual )
                                                                & ( car @ Y3 @ mactual )
                                                                & ( chevy @ Y3 @ mactual )
                                                                & ( event @ Y2 @ mactual )
                                                                & ( city @ Y1 @ mactual )
                                                                & ( hollywood @ Y1 @ mactual )
                                                                & ( front @ Y0 @ mactual )
                                                                & ( furniture @ Y0 @ mactual )
                                                                & ( seat @ Y0 @ mactual )
                                                                & ( front @ X1 @ mactual )
                                                                & ( furniture @ X1 @ mactual )
                                                                & ( seat @ X1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f813]) ).

thf(f816,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 )
                                                            & ( in @ Y8 @ Y0 @ mactual )
                                                            & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                            & ( in @ Y7 @ sK11 @ mactual )
                                                            & ( qmltpeq @ Y5 @ Y7 @ mactual )
                                                            & ( young @ Y6 @ mactual )
                                                            & ( man @ Y6 @ mactual )
                                                            & ( fellow @ Y6 @ mactual )
                                                            & ( young @ Y5 @ mactual )
                                                            & ( man @ Y5 @ mactual )
                                                            & ( fellow @ Y5 @ mactual )
                                                            & ~ ( qmltpeq @ Y5 @ Y6 @ mactual )
                                                            & ( in @ Y2 @ Y1 @ mactual )
                                                            & ( down @ Y2 @ Y3 @ mactual )
                                                            & ( barrel @ Y2 @ Y4 @ mactual )
                                                            & ( old @ Y4 @ mactual )
                                                            & ( dirty @ Y4 @ mactual )
                                                            & ( white @ Y4 @ mactual )
                                                            & ( car @ Y4 @ mactual )
                                                            & ( chevy @ Y4 @ mactual )
                                                            & ( lonely @ Y3 @ mactual )
                                                            & ( way @ Y3 @ mactual )
                                                            & ( street @ Y3 @ mactual )
                                                            & ( event @ Y2 @ mactual )
                                                            & ( city @ Y1 @ mactual )
                                                            & ( hollywood @ Y1 @ mactual )
                                                            & ( front @ Y0 @ mactual )
                                                            & ( furniture @ Y0 @ mactual )
                                                            & ( seat @ Y0 @ mactual )
                                                            & ( front @ sK11 @ mactual )
                                                            & ( furniture @ sK11 @ mactual )
                                                            & ( seat @ sK11 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
        @ sK12 ) )
    | spl0_1 ),
    inference(sigma_proxy_clausification,[],[f807]) ).

thf(f818,plain,
    ( ( $true
      = ( ( 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 )
                                                        & ( in @ Y7 @ sK12 @ mactual )
                                                        & ( qmltpeq @ Y5 @ Y7 @ mactual )
                                                        & ( in @ Y6 @ sK11 @ mactual )
                                                        & ( qmltpeq @ Y4 @ Y6 @ mactual )
                                                        & ( young @ Y5 @ mactual )
                                                        & ( man @ Y5 @ mactual )
                                                        & ( fellow @ Y5 @ mactual )
                                                        & ( young @ Y4 @ mactual )
                                                        & ( man @ Y4 @ mactual )
                                                        & ( fellow @ Y4 @ mactual )
                                                        & ~ ( qmltpeq @ Y4 @ Y5 @ mactual )
                                                        & ( in @ Y1 @ Y0 @ mactual )
                                                        & ( down @ Y1 @ Y2 @ mactual )
                                                        & ( barrel @ Y1 @ Y3 @ mactual )
                                                        & ( old @ Y3 @ mactual )
                                                        & ( dirty @ Y3 @ mactual )
                                                        & ( white @ Y3 @ mactual )
                                                        & ( car @ Y3 @ mactual )
                                                        & ( chevy @ Y3 @ mactual )
                                                        & ( lonely @ Y2 @ mactual )
                                                        & ( way @ Y2 @ mactual )
                                                        & ( street @ Y2 @ mactual )
                                                        & ( event @ Y1 @ mactual )
                                                        & ( city @ Y0 @ mactual )
                                                        & ( hollywood @ Y0 @ mactual )
                                                        & ( front @ sK12 @ mactual )
                                                        & ( furniture @ sK12 @ mactual )
                                                        & ( seat @ sK12 @ mactual )
                                                        & ( front @ sK11 @ mactual )
                                                        & ( furniture @ sK11 @ mactual )
                                                        & ( seat @ sK11 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | spl0_1 ),
    inference(beta-eta_normalization,[],[f816]) ).

thf(f820,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 )
                                                      & ( in @ Y7 @ sK12 @ mactual )
                                                      & ( qmltpeq @ Y5 @ Y7 @ mactual )
                                                      & ( in @ Y6 @ sK11 @ mactual )
                                                      & ( qmltpeq @ Y4 @ Y6 @ mactual )
                                                      & ( young @ Y5 @ mactual )
                                                      & ( man @ Y5 @ mactual )
                                                      & ( fellow @ Y5 @ mactual )
                                                      & ( young @ Y4 @ mactual )
                                                      & ( man @ Y4 @ mactual )
                                                      & ( fellow @ Y4 @ mactual )
                                                      & ~ ( qmltpeq @ Y4 @ Y5 @ mactual )
                                                      & ( in @ Y1 @ Y0 @ mactual )
                                                      & ( down @ Y1 @ Y2 @ mactual )
                                                      & ( barrel @ Y1 @ Y3 @ mactual )
                                                      & ( old @ Y3 @ mactual )
                                                      & ( dirty @ Y3 @ mactual )
                                                      & ( white @ Y3 @ mactual )
                                                      & ( car @ Y3 @ mactual )
                                                      & ( chevy @ Y3 @ mactual )
                                                      & ( lonely @ Y2 @ mactual )
                                                      & ( way @ Y2 @ mactual )
                                                      & ( street @ Y2 @ mactual )
                                                      & ( event @ Y1 @ mactual )
                                                      & ( city @ Y0 @ mactual )
                                                      & ( hollywood @ Y0 @ mactual )
                                                      & ( front @ sK12 @ mactual )
                                                      & ( furniture @ sK12 @ mactual )
                                                      & ( seat @ sK12 @ mactual )
                                                      & ( front @ sK11 @ mactual )
                                                      & ( furniture @ sK11 @ mactual )
                                                      & ( seat @ sK11 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f818]) ).

thf(f821,plain,
    ( ( $true
      = ( eiw_di @ sK12 @ mactual ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f818]) ).

thf(f822,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 )
                                                                & ( in @ Y8 @ Y0 @ mactual )
                                                                & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                & ( in @ Y7 @ X1 @ mactual )
                                                                & ( qmltpeq @ Y5 @ Y7 @ mactual )
                                                                & ( young @ Y6 @ mactual )
                                                                & ( man @ Y6 @ mactual )
                                                                & ( fellow @ Y6 @ mactual )
                                                                & ( young @ Y5 @ mactual )
                                                                & ( man @ Y5 @ mactual )
                                                                & ( fellow @ Y5 @ mactual )
                                                                & ~ ( qmltpeq @ Y5 @ Y6 @ mactual )
                                                                & ( in @ Y2 @ Y1 @ mactual )
                                                                & ( down @ Y2 @ Y4 @ mactual )
                                                                & ( barrel @ Y2 @ Y3 @ mactual )
                                                                & ( lonely @ Y4 @ mactual )
                                                                & ( way @ Y4 @ mactual )
                                                                & ( street @ Y4 @ mactual )
                                                                & ( old @ Y3 @ mactual )
                                                                & ( dirty @ Y3 @ mactual )
                                                                & ( white @ Y3 @ mactual )
                                                                & ( car @ Y3 @ mactual )
                                                                & ( chevy @ Y3 @ mactual )
                                                                & ( event @ Y2 @ mactual )
                                                                & ( city @ Y1 @ mactual )
                                                                & ( hollywood @ Y1 @ mactual )
                                                                & ( front @ Y0 @ mactual )
                                                                & ( furniture @ Y0 @ mactual )
                                                                & ( seat @ Y0 @ mactual )
                                                                & ( front @ X1 @ mactual )
                                                                & ( furniture @ X1 @ mactual )
                                                                & ( seat @ X1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
            @ X2 ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) ) )
    | ~ spl0_2 ),
    inference(pi_proxy_clausification,[],[f815]) ).

thf(f825,plain,
    ( ! [X2: $i,X1: $i] :
        ( ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( ( 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 )
                                                            & ( in @ Y7 @ X2 @ mactual )
                                                            & ( qmltpeq @ Y5 @ Y7 @ mactual )
                                                            & ( in @ Y6 @ X1 @ mactual )
                                                            & ( qmltpeq @ Y4 @ Y6 @ mactual )
                                                            & ( young @ Y5 @ mactual )
                                                            & ( man @ Y5 @ mactual )
                                                            & ( fellow @ Y5 @ mactual )
                                                            & ( young @ Y4 @ mactual )
                                                            & ( man @ Y4 @ mactual )
                                                            & ( fellow @ Y4 @ mactual )
                                                            & ~ ( qmltpeq @ Y4 @ Y5 @ mactual )
                                                            & ( in @ Y1 @ Y0 @ mactual )
                                                            & ( down @ Y1 @ Y3 @ mactual )
                                                            & ( barrel @ Y1 @ Y2 @ mactual )
                                                            & ( lonely @ Y3 @ mactual )
                                                            & ( way @ Y3 @ mactual )
                                                            & ( street @ Y3 @ mactual )
                                                            & ( old @ Y2 @ mactual )
                                                            & ( dirty @ Y2 @ mactual )
                                                            & ( white @ Y2 @ mactual )
                                                            & ( car @ Y2 @ mactual )
                                                            & ( chevy @ Y2 @ mactual )
                                                            & ( event @ Y1 @ mactual )
                                                            & ( city @ Y0 @ mactual )
                                                            & ( hollywood @ Y0 @ mactual )
                                                            & ( front @ X2 @ mactual )
                                                            & ( furniture @ X2 @ mactual )
                                                            & ( seat @ X2 @ mactual )
                                                            & ( front @ X1 @ mactual )
                                                            & ( furniture @ X1 @ mactual )
                                                            & ( seat @ X1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
          = $false ) )
    | ~ spl0_2 ),
    inference(beta-eta_normalization,[],[f822]) ).

thf(f826,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 )
                                                          & ( in @ Y7 @ X2 @ mactual )
                                                          & ( qmltpeq @ Y5 @ Y7 @ mactual )
                                                          & ( in @ Y6 @ X1 @ mactual )
                                                          & ( qmltpeq @ Y4 @ Y6 @ mactual )
                                                          & ( young @ Y5 @ mactual )
                                                          & ( man @ Y5 @ mactual )
                                                          & ( fellow @ Y5 @ mactual )
                                                          & ( young @ Y4 @ mactual )
                                                          & ( man @ Y4 @ mactual )
                                                          & ( fellow @ Y4 @ mactual )
                                                          & ~ ( qmltpeq @ Y4 @ Y5 @ mactual )
                                                          & ( in @ Y1 @ Y0 @ mactual )
                                                          & ( down @ Y1 @ Y3 @ mactual )
                                                          & ( barrel @ Y1 @ Y2 @ mactual )
                                                          & ( lonely @ Y3 @ mactual )
                                                          & ( way @ Y3 @ mactual )
                                                          & ( street @ Y3 @ mactual )
                                                          & ( old @ Y2 @ mactual )
                                                          & ( dirty @ Y2 @ mactual )
                                                          & ( white @ Y2 @ mactual )
                                                          & ( car @ Y2 @ mactual )
                                                          & ( chevy @ Y2 @ mactual )
                                                          & ( event @ Y1 @ mactual )
                                                          & ( city @ Y0 @ mactual )
                                                          & ( hollywood @ Y0 @ mactual )
                                                          & ( front @ X2 @ mactual )
                                                          & ( furniture @ X2 @ mactual )
                                                          & ( seat @ X2 @ mactual )
                                                          & ( front @ X1 @ mactual )
                                                          & ( furniture @ X1 @ mactual )
                                                          & ( seat @ X1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f825]) ).

thf(f829,plain,
    ( ! [X2: $i,X3: $i,X1: $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 )
                                                          & ( in @ Y7 @ X2 @ mactual )
                                                          & ( qmltpeq @ Y5 @ Y7 @ mactual )
                                                          & ( in @ Y6 @ X1 @ mactual )
                                                          & ( qmltpeq @ Y4 @ Y6 @ mactual )
                                                          & ( young @ Y5 @ mactual )
                                                          & ( man @ Y5 @ mactual )
                                                          & ( fellow @ Y5 @ mactual )
                                                          & ( young @ Y4 @ mactual )
                                                          & ( man @ Y4 @ mactual )
                                                          & ( fellow @ Y4 @ mactual )
                                                          & ~ ( qmltpeq @ Y4 @ Y5 @ mactual )
                                                          & ( in @ Y1 @ Y0 @ mactual )
                                                          & ( down @ Y1 @ Y3 @ mactual )
                                                          & ( barrel @ Y1 @ Y2 @ mactual )
                                                          & ( lonely @ Y3 @ mactual )
                                                          & ( way @ Y3 @ mactual )
                                                          & ( street @ Y3 @ mactual )
                                                          & ( old @ Y2 @ mactual )
                                                          & ( dirty @ Y2 @ mactual )
                                                          & ( white @ Y2 @ mactual )
                                                          & ( car @ Y2 @ mactual )
                                                          & ( chevy @ Y2 @ mactual )
                                                          & ( event @ Y1 @ mactual )
                                                          & ( city @ Y0 @ mactual )
                                                          & ( hollywood @ Y0 @ mactual )
                                                          & ( front @ X2 @ mactual )
                                                          & ( furniture @ X2 @ mactual )
                                                          & ( seat @ X2 @ mactual )
                                                          & ( front @ X1 @ mactual )
                                                          & ( furniture @ X1 @ mactual )
                                                          & ( seat @ X1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
            @ X3 )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) ) )
    | ~ spl0_2 ),
    inference(pi_proxy_clausification,[],[f826]) ).

thf(f832,plain,
    ( ! [X2: $i,X3: $i,X1: $i] :
        ( ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X2 @ 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 )
                                                      & ( in @ Y6 @ X2 @ mactual )
                                                      & ( qmltpeq @ Y4 @ Y6 @ mactual )
                                                      & ( in @ Y5 @ X1 @ mactual )
                                                      & ( qmltpeq @ Y3 @ Y5 @ mactual )
                                                      & ( young @ Y4 @ mactual )
                                                      & ( man @ Y4 @ mactual )
                                                      & ( fellow @ Y4 @ mactual )
                                                      & ( young @ Y3 @ mactual )
                                                      & ( man @ Y3 @ mactual )
                                                      & ( fellow @ Y3 @ mactual )
                                                      & ~ ( qmltpeq @ Y3 @ Y4 @ mactual )
                                                      & ( in @ Y0 @ X3 @ mactual )
                                                      & ( down @ Y0 @ Y2 @ mactual )
                                                      & ( barrel @ Y0 @ Y1 @ mactual )
                                                      & ( lonely @ Y2 @ mactual )
                                                      & ( way @ Y2 @ mactual )
                                                      & ( street @ Y2 @ mactual )
                                                      & ( old @ Y1 @ mactual )
                                                      & ( dirty @ Y1 @ mactual )
                                                      & ( white @ Y1 @ mactual )
                                                      & ( car @ Y1 @ mactual )
                                                      & ( chevy @ Y1 @ mactual )
                                                      & ( event @ Y0 @ mactual )
                                                      & ( city @ X3 @ mactual )
                                                      & ( hollywood @ X3 @ mactual )
                                                      & ( front @ X2 @ mactual )
                                                      & ( furniture @ X2 @ mactual )
                                                      & ( seat @ X2 @ mactual )
                                                      & ( front @ X1 @ mactual )
                                                      & ( furniture @ X1 @ mactual )
                                                      & ( seat @ X1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
          = $false ) )
    | ~ spl0_2 ),
    inference(beta-eta_normalization,[],[f829]) ).

thf(f833,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 )
                                                    & ( in @ Y6 @ X2 @ mactual )
                                                    & ( qmltpeq @ Y4 @ Y6 @ mactual )
                                                    & ( in @ Y5 @ X1 @ mactual )
                                                    & ( qmltpeq @ Y3 @ Y5 @ mactual )
                                                    & ( young @ Y4 @ mactual )
                                                    & ( man @ Y4 @ mactual )
                                                    & ( fellow @ Y4 @ mactual )
                                                    & ( young @ Y3 @ mactual )
                                                    & ( man @ Y3 @ mactual )
                                                    & ( fellow @ Y3 @ mactual )
                                                    & ~ ( qmltpeq @ Y3 @ Y4 @ mactual )
                                                    & ( in @ Y0 @ X3 @ mactual )
                                                    & ( down @ Y0 @ Y2 @ mactual )
                                                    & ( barrel @ Y0 @ Y1 @ mactual )
                                                    & ( lonely @ Y2 @ mactual )
                                                    & ( way @ Y2 @ mactual )
                                                    & ( street @ Y2 @ mactual )
                                                    & ( old @ Y1 @ mactual )
                                                    & ( dirty @ Y1 @ mactual )
                                                    & ( white @ Y1 @ mactual )
                                                    & ( car @ Y1 @ mactual )
                                                    & ( chevy @ Y1 @ mactual )
                                                    & ( event @ Y0 @ mactual )
                                                    & ( city @ X3 @ mactual )
                                                    & ( hollywood @ X3 @ mactual )
                                                    & ( front @ X2 @ mactual )
                                                    & ( furniture @ X2 @ mactual )
                                                    & ( seat @ X2 @ mactual )
                                                    & ( front @ X1 @ mactual )
                                                    & ( furniture @ X1 @ mactual )
                                                    & ( seat @ X1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f832]) ).

thf(f834,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 )
                                                      & ( in @ Y7 @ sK12 @ mactual )
                                                      & ( qmltpeq @ Y5 @ Y7 @ mactual )
                                                      & ( in @ Y6 @ sK11 @ mactual )
                                                      & ( qmltpeq @ Y4 @ Y6 @ mactual )
                                                      & ( young @ Y5 @ mactual )
                                                      & ( man @ Y5 @ mactual )
                                                      & ( fellow @ Y5 @ mactual )
                                                      & ( young @ Y4 @ mactual )
                                                      & ( man @ Y4 @ mactual )
                                                      & ( fellow @ Y4 @ mactual )
                                                      & ~ ( qmltpeq @ Y4 @ Y5 @ mactual )
                                                      & ( in @ Y1 @ Y0 @ mactual )
                                                      & ( down @ Y1 @ Y2 @ mactual )
                                                      & ( barrel @ Y1 @ Y3 @ mactual )
                                                      & ( old @ Y3 @ mactual )
                                                      & ( dirty @ Y3 @ mactual )
                                                      & ( white @ Y3 @ mactual )
                                                      & ( car @ Y3 @ mactual )
                                                      & ( chevy @ Y3 @ mactual )
                                                      & ( lonely @ Y2 @ mactual )
                                                      & ( way @ Y2 @ mactual )
                                                      & ( street @ Y2 @ mactual )
                                                      & ( event @ Y1 @ mactual )
                                                      & ( city @ Y0 @ mactual )
                                                      & ( hollywood @ Y0 @ mactual )
                                                      & ( front @ sK12 @ mactual )
                                                      & ( furniture @ sK12 @ mactual )
                                                      & ( seat @ sK12 @ mactual )
                                                      & ( front @ sK11 @ mactual )
                                                      & ( furniture @ sK11 @ mactual )
                                                      & ( seat @ sK11 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
        @ sK13 )
      = $true )
    | spl0_1 ),
    inference(sigma_proxy_clausification,[],[f820]) ).

thf(f837,plain,
    ( ( $true
      = ( ( 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 )
                                                  & ( in @ Y6 @ sK12 @ mactual )
                                                  & ( qmltpeq @ Y4 @ Y6 @ mactual )
                                                  & ( in @ Y5 @ sK11 @ mactual )
                                                  & ( qmltpeq @ Y3 @ Y5 @ mactual )
                                                  & ( young @ Y4 @ mactual )
                                                  & ( man @ Y4 @ mactual )
                                                  & ( fellow @ Y4 @ mactual )
                                                  & ( young @ Y3 @ mactual )
                                                  & ( man @ Y3 @ mactual )
                                                  & ( fellow @ Y3 @ mactual )
                                                  & ~ ( qmltpeq @ Y3 @ Y4 @ mactual )
                                                  & ( in @ Y0 @ sK13 @ mactual )
                                                  & ( down @ Y0 @ Y1 @ mactual )
                                                  & ( barrel @ Y0 @ Y2 @ mactual )
                                                  & ( old @ Y2 @ mactual )
                                                  & ( dirty @ Y2 @ mactual )
                                                  & ( white @ Y2 @ mactual )
                                                  & ( car @ Y2 @ mactual )
                                                  & ( chevy @ Y2 @ mactual )
                                                  & ( lonely @ Y1 @ mactual )
                                                  & ( way @ Y1 @ mactual )
                                                  & ( street @ Y1 @ mactual )
                                                  & ( event @ Y0 @ mactual )
                                                  & ( city @ sK13 @ mactual )
                                                  & ( hollywood @ sK13 @ mactual )
                                                  & ( front @ sK12 @ mactual )
                                                  & ( furniture @ sK12 @ mactual )
                                                  & ( seat @ sK12 @ mactual )
                                                  & ( front @ sK11 @ mactual )
                                                  & ( furniture @ sK11 @ mactual )
                                                  & ( seat @ sK11 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | spl0_1 ),
    inference(beta-eta_normalization,[],[f834]) ).

thf(f838,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 )
                                                & ( in @ Y6 @ sK12 @ mactual )
                                                & ( qmltpeq @ Y4 @ Y6 @ mactual )
                                                & ( in @ Y5 @ sK11 @ mactual )
                                                & ( qmltpeq @ Y3 @ Y5 @ mactual )
                                                & ( young @ Y4 @ mactual )
                                                & ( man @ Y4 @ mactual )
                                                & ( fellow @ Y4 @ mactual )
                                                & ( young @ Y3 @ mactual )
                                                & ( man @ Y3 @ mactual )
                                                & ( fellow @ Y3 @ mactual )
                                                & ~ ( qmltpeq @ Y3 @ Y4 @ mactual )
                                                & ( in @ Y0 @ sK13 @ mactual )
                                                & ( down @ Y0 @ Y1 @ mactual )
                                                & ( barrel @ Y0 @ Y2 @ mactual )
                                                & ( old @ Y2 @ mactual )
                                                & ( dirty @ Y2 @ mactual )
                                                & ( white @ Y2 @ mactual )
                                                & ( car @ Y2 @ mactual )
                                                & ( chevy @ Y2 @ mactual )
                                                & ( lonely @ Y1 @ mactual )
                                                & ( way @ Y1 @ mactual )
                                                & ( street @ Y1 @ mactual )
                                                & ( event @ Y0 @ mactual )
                                                & ( city @ sK13 @ mactual )
                                                & ( hollywood @ sK13 @ mactual )
                                                & ( front @ sK12 @ mactual )
                                                & ( furniture @ sK12 @ mactual )
                                                & ( seat @ sK12 @ mactual )
                                                & ( front @ sK11 @ mactual )
                                                & ( furniture @ sK11 @ mactual )
                                                & ( seat @ sK11 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f837]) ).

thf(f839,plain,
    ( ( ( eiw_di @ sK13 @ mactual )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f837]) ).

thf(f840,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X4: $i] :
        ( ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X2 @ 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 )
                                  & ( ?? @ $i
                                    @ ^ [Y4: $i] :
                                        ( ( eiw_di @ Y4 @ mactual )
                                        & ( ?? @ $i
                                          @ ^ [Y5: $i] :
                                              ( ( eiw_di @ Y5 @ mactual )
                                              & ( ?? @ $i
                                                @ ^ [Y6: $i] :
                                                    ( ( eiw_di @ Y6 @ mactual )
                                                    & ( in @ Y6 @ X2 @ mactual )
                                                    & ( qmltpeq @ Y4 @ Y6 @ mactual )
                                                    & ( in @ Y5 @ X1 @ mactual )
                                                    & ( qmltpeq @ Y3 @ Y5 @ mactual )
                                                    & ( young @ Y4 @ mactual )
                                                    & ( man @ Y4 @ mactual )
                                                    & ( fellow @ Y4 @ mactual )
                                                    & ( young @ Y3 @ mactual )
                                                    & ( man @ Y3 @ mactual )
                                                    & ( fellow @ Y3 @ mactual )
                                                    & ~ ( qmltpeq @ Y3 @ Y4 @ mactual )
                                                    & ( in @ Y0 @ X3 @ mactual )
                                                    & ( down @ Y0 @ Y2 @ mactual )
                                                    & ( barrel @ Y0 @ Y1 @ mactual )
                                                    & ( lonely @ Y2 @ mactual )
                                                    & ( way @ Y2 @ mactual )
                                                    & ( street @ Y2 @ mactual )
                                                    & ( old @ Y1 @ mactual )
                                                    & ( dirty @ Y1 @ mactual )
                                                    & ( white @ Y1 @ mactual )
                                                    & ( car @ Y1 @ mactual )
                                                    & ( chevy @ Y1 @ mactual )
                                                    & ( event @ Y0 @ mactual )
                                                    & ( city @ X3 @ mactual )
                                                    & ( hollywood @ X3 @ mactual )
                                                    & ( front @ X2 @ mactual )
                                                    & ( furniture @ X2 @ mactual )
                                                    & ( seat @ X2 @ mactual )
                                                    & ( front @ X1 @ mactual )
                                                    & ( furniture @ X1 @ mactual )
                                                    & ( seat @ X1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) )
            @ X4 )
          = $false ) )
    | ~ spl0_2 ),
    inference(pi_proxy_clausification,[],[f833]) ).

thf(f842,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X4: $i] :
        ( ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ 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 )
                                                & ( in @ Y5 @ X2 @ mactual )
                                                & ( qmltpeq @ Y3 @ Y5 @ mactual )
                                                & ( in @ Y4 @ X1 @ mactual )
                                                & ( qmltpeq @ Y2 @ Y4 @ mactual )
                                                & ( young @ Y3 @ mactual )
                                                & ( man @ Y3 @ mactual )
                                                & ( fellow @ Y3 @ mactual )
                                                & ( young @ Y2 @ mactual )
                                                & ( man @ Y2 @ mactual )
                                                & ( fellow @ Y2 @ mactual )
                                                & ~ ( qmltpeq @ Y2 @ Y3 @ mactual )
                                                & ( in @ X4 @ X3 @ mactual )
                                                & ( down @ X4 @ Y1 @ mactual )
                                                & ( barrel @ X4 @ Y0 @ mactual )
                                                & ( lonely @ Y1 @ mactual )
                                                & ( way @ Y1 @ mactual )
                                                & ( street @ Y1 @ mactual )
                                                & ( old @ Y0 @ mactual )
                                                & ( dirty @ Y0 @ mactual )
                                                & ( white @ Y0 @ mactual )
                                                & ( car @ Y0 @ mactual )
                                                & ( chevy @ Y0 @ mactual )
                                                & ( event @ X4 @ mactual )
                                                & ( city @ X3 @ mactual )
                                                & ( hollywood @ X3 @ mactual )
                                                & ( front @ X2 @ mactual )
                                                & ( furniture @ X2 @ mactual )
                                                & ( seat @ X2 @ mactual )
                                                & ( front @ X1 @ mactual )
                                                & ( furniture @ X1 @ mactual )
                                                & ( seat @ X1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) )
          = $false ) )
    | ~ spl0_2 ),
    inference(beta-eta_normalization,[],[f840]) ).

thf(f844,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X4: $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 )
                                              & ( in @ Y5 @ X2 @ mactual )
                                              & ( qmltpeq @ Y3 @ Y5 @ mactual )
                                              & ( in @ Y4 @ X1 @ mactual )
                                              & ( qmltpeq @ Y2 @ Y4 @ mactual )
                                              & ( young @ Y3 @ mactual )
                                              & ( man @ Y3 @ mactual )
                                              & ( fellow @ Y3 @ mactual )
                                              & ( young @ Y2 @ mactual )
                                              & ( man @ Y2 @ mactual )
                                              & ( fellow @ Y2 @ mactual )
                                              & ~ ( qmltpeq @ Y2 @ Y3 @ mactual )
                                              & ( in @ X4 @ X3 @ mactual )
                                              & ( down @ X4 @ Y1 @ mactual )
                                              & ( barrel @ X4 @ Y0 @ mactual )
                                              & ( lonely @ Y1 @ mactual )
                                              & ( way @ Y1 @ mactual )
                                              & ( street @ Y1 @ mactual )
                                              & ( old @ Y0 @ mactual )
                                              & ( dirty @ Y0 @ mactual )
                                              & ( white @ Y0 @ mactual )
                                              & ( car @ Y0 @ mactual )
                                              & ( chevy @ Y0 @ mactual )
                                              & ( event @ X4 @ mactual )
                                              & ( city @ X3 @ mactual )
                                              & ( hollywood @ X3 @ mactual )
                                              & ( front @ X2 @ mactual )
                                              & ( furniture @ X2 @ mactual )
                                              & ( seat @ X2 @ mactual )
                                              & ( front @ X1 @ mactual )
                                              & ( furniture @ X1 @ mactual )
                                              & ( seat @ X1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f842]) ).

thf(f847,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X4: $i,X5: $i] :
        ( ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ 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 )
                                              & ( in @ Y5 @ X2 @ mactual )
                                              & ( qmltpeq @ Y3 @ Y5 @ mactual )
                                              & ( in @ Y4 @ X1 @ mactual )
                                              & ( qmltpeq @ Y2 @ Y4 @ mactual )
                                              & ( young @ Y3 @ mactual )
                                              & ( man @ Y3 @ mactual )
                                              & ( fellow @ Y3 @ mactual )
                                              & ( young @ Y2 @ mactual )
                                              & ( man @ Y2 @ mactual )
                                              & ( fellow @ Y2 @ mactual )
                                              & ~ ( qmltpeq @ Y2 @ Y3 @ mactual )
                                              & ( in @ X4 @ X3 @ mactual )
                                              & ( down @ X4 @ Y1 @ mactual )
                                              & ( barrel @ X4 @ Y0 @ mactual )
                                              & ( lonely @ Y1 @ mactual )
                                              & ( way @ Y1 @ mactual )
                                              & ( street @ Y1 @ mactual )
                                              & ( old @ Y0 @ mactual )
                                              & ( dirty @ Y0 @ mactual )
                                              & ( white @ Y0 @ mactual )
                                              & ( car @ Y0 @ mactual )
                                              & ( chevy @ Y0 @ mactual )
                                              & ( event @ X4 @ mactual )
                                              & ( city @ X3 @ mactual )
                                              & ( hollywood @ X3 @ mactual )
                                              & ( front @ X2 @ mactual )
                                              & ( furniture @ X2 @ mactual )
                                              & ( seat @ X2 @ mactual )
                                              & ( front @ X1 @ mactual )
                                              & ( furniture @ X1 @ mactual )
                                              & ( seat @ X1 @ mactual ) ) ) ) ) ) ) ) ) ) ) )
            @ X5 )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) ) )
    | ~ spl0_2 ),
    inference(pi_proxy_clausification,[],[f844]) ).

thf(f849,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 )
                                          & ( in @ Y4 @ X2 @ mactual )
                                          & ( qmltpeq @ Y2 @ Y4 @ mactual )
                                          & ( in @ Y3 @ X1 @ mactual )
                                          & ( qmltpeq @ Y1 @ Y3 @ mactual )
                                          & ( young @ Y2 @ mactual )
                                          & ( man @ Y2 @ mactual )
                                          & ( fellow @ Y2 @ mactual )
                                          & ( young @ Y1 @ mactual )
                                          & ( man @ Y1 @ mactual )
                                          & ( fellow @ Y1 @ mactual )
                                          & ~ ( qmltpeq @ Y1 @ Y2 @ mactual )
                                          & ( in @ X4 @ X3 @ mactual )
                                          & ( down @ X4 @ Y0 @ mactual )
                                          & ( barrel @ X4 @ X5 @ mactual )
                                          & ( lonely @ Y0 @ mactual )
                                          & ( way @ Y0 @ mactual )
                                          & ( street @ Y0 @ mactual )
                                          & ( old @ X5 @ mactual )
                                          & ( dirty @ X5 @ mactual )
                                          & ( white @ X5 @ mactual )
                                          & ( car @ X5 @ mactual )
                                          & ( chevy @ X5 @ mactual )
                                          & ( event @ X4 @ mactual )
                                          & ( city @ X3 @ mactual )
                                          & ( hollywood @ X3 @ mactual )
                                          & ( front @ X2 @ mactual )
                                          & ( furniture @ X2 @ mactual )
                                          & ( seat @ X2 @ mactual )
                                          & ( front @ X1 @ mactual )
                                          & ( furniture @ X1 @ mactual )
                                          & ( seat @ X1 @ mactual ) ) ) ) ) ) ) ) ) ) ) )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) ) )
    | ~ spl0_2 ),
    inference(beta-eta_normalization,[],[f847]) ).

thf(f851,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 )
                                        & ( in @ Y4 @ X2 @ mactual )
                                        & ( qmltpeq @ Y2 @ Y4 @ mactual )
                                        & ( in @ Y3 @ X1 @ mactual )
                                        & ( qmltpeq @ Y1 @ Y3 @ mactual )
                                        & ( young @ Y2 @ mactual )
                                        & ( man @ Y2 @ mactual )
                                        & ( fellow @ Y2 @ mactual )
                                        & ( young @ Y1 @ mactual )
                                        & ( man @ Y1 @ mactual )
                                        & ( fellow @ Y1 @ mactual )
                                        & ~ ( qmltpeq @ Y1 @ Y2 @ mactual )
                                        & ( in @ X4 @ X3 @ mactual )
                                        & ( down @ X4 @ Y0 @ mactual )
                                        & ( barrel @ X4 @ X5 @ mactual )
                                        & ( lonely @ Y0 @ mactual )
                                        & ( way @ Y0 @ mactual )
                                        & ( street @ Y0 @ mactual )
                                        & ( old @ X5 @ mactual )
                                        & ( dirty @ X5 @ mactual )
                                        & ( white @ X5 @ mactual )
                                        & ( car @ X5 @ mactual )
                                        & ( chevy @ X5 @ mactual )
                                        & ( event @ X4 @ mactual )
                                        & ( city @ X3 @ mactual )
                                        & ( hollywood @ X3 @ mactual )
                                        & ( front @ X2 @ mactual )
                                        & ( furniture @ X2 @ mactual )
                                        & ( seat @ X2 @ mactual )
                                        & ( front @ X1 @ mactual )
                                        & ( furniture @ X1 @ mactual )
                                        & ( seat @ X1 @ mactual ) ) ) ) ) ) ) ) ) ) )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f849]) ).

thf(f852,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X6: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( ( eiw_di @ X3 @ 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 )
                                  & ( ?? @ $i
                                    @ ^ [Y4: $i] :
                                        ( ( eiw_di @ Y4 @ mactual )
                                        & ( in @ Y4 @ X2 @ mactual )
                                        & ( qmltpeq @ Y2 @ Y4 @ mactual )
                                        & ( in @ Y3 @ X1 @ mactual )
                                        & ( qmltpeq @ Y1 @ Y3 @ mactual )
                                        & ( young @ Y2 @ mactual )
                                        & ( man @ Y2 @ mactual )
                                        & ( fellow @ Y2 @ mactual )
                                        & ( young @ Y1 @ mactual )
                                        & ( man @ Y1 @ mactual )
                                        & ( fellow @ Y1 @ mactual )
                                        & ~ ( qmltpeq @ Y1 @ Y2 @ mactual )
                                        & ( in @ X4 @ X3 @ mactual )
                                        & ( down @ X4 @ Y0 @ mactual )
                                        & ( barrel @ X4 @ X5 @ mactual )
                                        & ( lonely @ Y0 @ mactual )
                                        & ( way @ Y0 @ mactual )
                                        & ( street @ Y0 @ mactual )
                                        & ( old @ X5 @ mactual )
                                        & ( dirty @ X5 @ mactual )
                                        & ( white @ X5 @ mactual )
                                        & ( car @ X5 @ mactual )
                                        & ( chevy @ X5 @ mactual )
                                        & ( event @ X4 @ mactual )
                                        & ( city @ X3 @ mactual )
                                        & ( hollywood @ X3 @ mactual )
                                        & ( front @ X2 @ mactual )
                                        & ( furniture @ X2 @ mactual )
                                        & ( seat @ X2 @ mactual )
                                        & ( front @ X1 @ mactual )
                                        & ( furniture @ X1 @ mactual )
                                        & ( seat @ X1 @ mactual ) ) ) ) ) ) ) ) ) )
            @ X6 )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) ) )
    | ~ spl0_2 ),
    inference(pi_proxy_clausification,[],[f851]) ).

thf(f855,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X6: $i,X4: $i,X5: $i] :
        ( ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X5 @ 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 )
                                    & ( in @ Y3 @ X2 @ mactual )
                                    & ( qmltpeq @ Y1 @ Y3 @ mactual )
                                    & ( in @ Y2 @ X1 @ mactual )
                                    & ( qmltpeq @ Y0 @ Y2 @ mactual )
                                    & ( young @ Y1 @ mactual )
                                    & ( man @ Y1 @ mactual )
                                    & ( fellow @ Y1 @ mactual )
                                    & ( young @ Y0 @ mactual )
                                    & ( man @ Y0 @ mactual )
                                    & ( fellow @ Y0 @ mactual )
                                    & ~ ( qmltpeq @ Y0 @ Y1 @ mactual )
                                    & ( in @ X4 @ X3 @ mactual )
                                    & ( down @ X4 @ X6 @ mactual )
                                    & ( barrel @ X4 @ X5 @ mactual )
                                    & ( lonely @ X6 @ mactual )
                                    & ( way @ X6 @ mactual )
                                    & ( street @ X6 @ mactual )
                                    & ( old @ X5 @ mactual )
                                    & ( dirty @ X5 @ mactual )
                                    & ( white @ X5 @ mactual )
                                    & ( car @ X5 @ mactual )
                                    & ( chevy @ X5 @ mactual )
                                    & ( event @ X4 @ mactual )
                                    & ( city @ X3 @ mactual )
                                    & ( hollywood @ X3 @ mactual )
                                    & ( front @ X2 @ mactual )
                                    & ( furniture @ X2 @ mactual )
                                    & ( seat @ X2 @ mactual )
                                    & ( front @ X1 @ mactual )
                                    & ( furniture @ X1 @ mactual )
                                    & ( seat @ X1 @ mactual ) ) ) ) ) ) ) ) ) )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) ) )
    | ~ spl0_2 ),
    inference(beta-eta_normalization,[],[f852]) ).

thf(f856,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 )
                                  & ( in @ Y3 @ X2 @ mactual )
                                  & ( qmltpeq @ Y1 @ Y3 @ mactual )
                                  & ( in @ Y2 @ X1 @ mactual )
                                  & ( qmltpeq @ Y0 @ Y2 @ mactual )
                                  & ( young @ Y1 @ mactual )
                                  & ( man @ Y1 @ mactual )
                                  & ( fellow @ Y1 @ mactual )
                                  & ( young @ Y0 @ mactual )
                                  & ( man @ Y0 @ mactual )
                                  & ( fellow @ Y0 @ mactual )
                                  & ~ ( qmltpeq @ Y0 @ Y1 @ mactual )
                                  & ( in @ X4 @ X3 @ mactual )
                                  & ( down @ X4 @ X6 @ mactual )
                                  & ( barrel @ X4 @ X5 @ mactual )
                                  & ( lonely @ X6 @ mactual )
                                  & ( way @ X6 @ mactual )
                                  & ( street @ X6 @ mactual )
                                  & ( old @ X5 @ mactual )
                                  & ( dirty @ X5 @ mactual )
                                  & ( white @ X5 @ mactual )
                                  & ( car @ X5 @ mactual )
                                  & ( chevy @ X5 @ mactual )
                                  & ( event @ X4 @ mactual )
                                  & ( city @ X3 @ mactual )
                                  & ( hollywood @ X3 @ mactual )
                                  & ( front @ X2 @ mactual )
                                  & ( furniture @ X2 @ mactual )
                                  & ( seat @ X2 @ mactual )
                                  & ( front @ X1 @ mactual )
                                  & ( furniture @ X1 @ mactual )
                                  & ( seat @ X1 @ mactual ) ) ) ) ) ) ) ) )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f855]) ).

thf(f857,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( 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 )
                                  & ( in @ Y3 @ X2 @ mactual )
                                  & ( qmltpeq @ Y1 @ Y3 @ mactual )
                                  & ( in @ Y2 @ X1 @ mactual )
                                  & ( qmltpeq @ Y0 @ Y2 @ mactual )
                                  & ( young @ Y1 @ mactual )
                                  & ( man @ Y1 @ mactual )
                                  & ( fellow @ Y1 @ mactual )
                                  & ( young @ Y0 @ mactual )
                                  & ( man @ Y0 @ mactual )
                                  & ( fellow @ Y0 @ mactual )
                                  & ~ ( qmltpeq @ Y0 @ Y1 @ mactual )
                                  & ( in @ X4 @ X3 @ mactual )
                                  & ( down @ X4 @ X6 @ mactual )
                                  & ( barrel @ X4 @ X5 @ mactual )
                                  & ( lonely @ X6 @ mactual )
                                  & ( way @ X6 @ mactual )
                                  & ( street @ X6 @ mactual )
                                  & ( old @ X5 @ mactual )
                                  & ( dirty @ X5 @ mactual )
                                  & ( white @ X5 @ mactual )
                                  & ( car @ X5 @ mactual )
                                  & ( chevy @ X5 @ mactual )
                                  & ( event @ X4 @ mactual )
                                  & ( city @ X3 @ mactual )
                                  & ( hollywood @ X3 @ mactual )
                                  & ( front @ X2 @ mactual )
                                  & ( furniture @ X2 @ mactual )
                                  & ( seat @ X2 @ mactual )
                                  & ( front @ X1 @ mactual )
                                  & ( furniture @ X1 @ mactual )
                                  & ( seat @ X1 @ mactual ) ) ) ) ) ) ) )
            @ X7 )
          = $false )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) ) )
    | ~ spl0_2 ),
    inference(pi_proxy_clausification,[],[f856]) ).

thf(f859,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( $false
          = ( eiw_di @ X2 @ 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 )
                              & ( in @ Y2 @ X2 @ mactual )
                              & ( qmltpeq @ Y0 @ Y2 @ mactual )
                              & ( in @ Y1 @ X1 @ mactual )
                              & ( qmltpeq @ X7 @ Y1 @ mactual )
                              & ( young @ Y0 @ mactual )
                              & ( man @ Y0 @ mactual )
                              & ( fellow @ Y0 @ mactual )
                              & ( young @ X7 @ mactual )
                              & ( man @ X7 @ mactual )
                              & ( fellow @ X7 @ mactual )
                              & ~ ( qmltpeq @ X7 @ Y0 @ mactual )
                              & ( in @ X4 @ X3 @ mactual )
                              & ( down @ X4 @ X6 @ mactual )
                              & ( barrel @ X4 @ X5 @ mactual )
                              & ( lonely @ X6 @ mactual )
                              & ( way @ X6 @ mactual )
                              & ( street @ X6 @ mactual )
                              & ( old @ X5 @ mactual )
                              & ( dirty @ X5 @ mactual )
                              & ( white @ X5 @ mactual )
                              & ( car @ X5 @ mactual )
                              & ( chevy @ X5 @ mactual )
                              & ( event @ X4 @ mactual )
                              & ( city @ X3 @ mactual )
                              & ( hollywood @ X3 @ mactual )
                              & ( front @ X2 @ mactual )
                              & ( furniture @ X2 @ mactual )
                              & ( seat @ X2 @ mactual )
                              & ( front @ X1 @ mactual )
                              & ( furniture @ X1 @ mactual )
                              & ( seat @ X1 @ mactual ) ) ) ) ) ) ) )
          = $false ) )
    | ~ spl0_2 ),
    inference(beta-eta_normalization,[],[f857]) ).

thf(f861,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X6: $i,X7: $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 )
                            & ( in @ Y2 @ X2 @ mactual )
                            & ( qmltpeq @ Y0 @ Y2 @ mactual )
                            & ( in @ Y1 @ X1 @ mactual )
                            & ( qmltpeq @ X7 @ Y1 @ mactual )
                            & ( young @ Y0 @ mactual )
                            & ( man @ Y0 @ mactual )
                            & ( fellow @ Y0 @ mactual )
                            & ( young @ X7 @ mactual )
                            & ( man @ X7 @ mactual )
                            & ( fellow @ X7 @ mactual )
                            & ~ ( qmltpeq @ X7 @ Y0 @ mactual )
                            & ( in @ X4 @ X3 @ mactual )
                            & ( down @ X4 @ X6 @ mactual )
                            & ( barrel @ X4 @ X5 @ mactual )
                            & ( lonely @ X6 @ mactual )
                            & ( way @ X6 @ mactual )
                            & ( street @ X6 @ mactual )
                            & ( old @ X5 @ mactual )
                            & ( dirty @ X5 @ mactual )
                            & ( white @ X5 @ mactual )
                            & ( car @ X5 @ mactual )
                            & ( chevy @ X5 @ mactual )
                            & ( event @ X4 @ mactual )
                            & ( city @ X3 @ mactual )
                            & ( hollywood @ X3 @ mactual )
                            & ( front @ X2 @ mactual )
                            & ( furniture @ X2 @ mactual )
                            & ( seat @ X2 @ mactual )
                            & ( front @ X1 @ mactual )
                            & ( furniture @ X1 @ mactual )
                            & ( seat @ X1 @ mactual ) ) ) ) ) ) ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f859]) ).

thf(f862,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ mactual )
                & ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ mactual )
                      & ( ?? @ $i
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ mactual )
                            & ( in @ Y2 @ X2 @ mactual )
                            & ( qmltpeq @ Y0 @ Y2 @ mactual )
                            & ( in @ Y1 @ X1 @ mactual )
                            & ( qmltpeq @ X7 @ Y1 @ mactual )
                            & ( young @ Y0 @ mactual )
                            & ( man @ Y0 @ mactual )
                            & ( fellow @ Y0 @ mactual )
                            & ( young @ X7 @ mactual )
                            & ( man @ X7 @ mactual )
                            & ( fellow @ X7 @ mactual )
                            & ~ ( qmltpeq @ X7 @ Y0 @ mactual )
                            & ( in @ X4 @ X3 @ mactual )
                            & ( down @ X4 @ X6 @ mactual )
                            & ( barrel @ X4 @ X5 @ mactual )
                            & ( lonely @ X6 @ mactual )
                            & ( way @ X6 @ mactual )
                            & ( street @ X6 @ mactual )
                            & ( old @ X5 @ mactual )
                            & ( dirty @ X5 @ mactual )
                            & ( white @ X5 @ mactual )
                            & ( car @ X5 @ mactual )
                            & ( chevy @ X5 @ mactual )
                            & ( event @ X4 @ mactual )
                            & ( city @ X3 @ mactual )
                            & ( hollywood @ X3 @ mactual )
                            & ( front @ X2 @ mactual )
                            & ( furniture @ X2 @ mactual )
                            & ( seat @ X2 @ mactual )
                            & ( front @ X1 @ mactual )
                            & ( furniture @ X1 @ mactual )
                            & ( seat @ X1 @ mactual ) ) ) ) ) )
            @ X8 )
          = $false )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) ) )
    | ~ spl0_2 ),
    inference(pi_proxy_clausification,[],[f861]) ).

thf(f865,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( ( eiw_di @ X8 @ mactual )
            & ( ?? @ $i
              @ ^ [Y0: $i] :
                  ( ( eiw_di @ Y0 @ mactual )
                  & ( ?? @ $i
                    @ ^ [Y1: $i] :
                        ( ( eiw_di @ Y1 @ mactual )
                        & ( in @ Y1 @ X2 @ mactual )
                        & ( qmltpeq @ X8 @ Y1 @ mactual )
                        & ( in @ Y0 @ X1 @ mactual )
                        & ( qmltpeq @ X7 @ Y0 @ mactual )
                        & ( young @ X8 @ mactual )
                        & ( man @ X8 @ mactual )
                        & ( fellow @ X8 @ mactual )
                        & ( young @ X7 @ mactual )
                        & ( man @ X7 @ mactual )
                        & ( fellow @ X7 @ mactual )
                        & ~ ( qmltpeq @ X7 @ X8 @ mactual )
                        & ( in @ X4 @ X3 @ mactual )
                        & ( down @ X4 @ X6 @ mactual )
                        & ( barrel @ X4 @ X5 @ mactual )
                        & ( lonely @ X6 @ mactual )
                        & ( way @ X6 @ mactual )
                        & ( street @ X6 @ mactual )
                        & ( old @ X5 @ mactual )
                        & ( dirty @ X5 @ mactual )
                        & ( white @ X5 @ mactual )
                        & ( car @ X5 @ mactual )
                        & ( chevy @ X5 @ mactual )
                        & ( event @ X4 @ mactual )
                        & ( city @ X3 @ mactual )
                        & ( hollywood @ X3 @ mactual )
                        & ( front @ X2 @ mactual )
                        & ( furniture @ X2 @ mactual )
                        & ( seat @ X2 @ mactual )
                        & ( front @ X1 @ mactual )
                        & ( furniture @ X1 @ mactual )
                        & ( seat @ X1 @ mactual ) ) ) ) ) )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) ) )
    | ~ spl0_2 ),
    inference(beta-eta_normalization,[],[f862]) ).

thf(f866,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 )
                      & ( in @ Y1 @ X2 @ mactual )
                      & ( qmltpeq @ X8 @ Y1 @ mactual )
                      & ( in @ Y0 @ X1 @ mactual )
                      & ( qmltpeq @ X7 @ Y0 @ mactual )
                      & ( young @ X8 @ mactual )
                      & ( man @ X8 @ mactual )
                      & ( fellow @ X8 @ mactual )
                      & ( young @ X7 @ mactual )
                      & ( man @ X7 @ mactual )
                      & ( fellow @ X7 @ mactual )
                      & ~ ( qmltpeq @ X7 @ X8 @ mactual )
                      & ( in @ X4 @ X3 @ mactual )
                      & ( down @ X4 @ X6 @ mactual )
                      & ( barrel @ X4 @ X5 @ mactual )
                      & ( lonely @ X6 @ mactual )
                      & ( way @ X6 @ mactual )
                      & ( street @ X6 @ mactual )
                      & ( old @ X5 @ mactual )
                      & ( dirty @ X5 @ mactual )
                      & ( white @ X5 @ mactual )
                      & ( car @ X5 @ mactual )
                      & ( chevy @ X5 @ mactual )
                      & ( event @ X4 @ mactual )
                      & ( city @ X3 @ mactual )
                      & ( hollywood @ X3 @ mactual )
                      & ( front @ X2 @ mactual )
                      & ( furniture @ X2 @ mactual )
                      & ( seat @ X2 @ mactual )
                      & ( front @ X1 @ mactual )
                      & ( furniture @ X1 @ mactual )
                      & ( seat @ X1 @ mactual ) ) ) ) )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f865]) ).

thf(f867,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ mactual )
                & ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ mactual )
                      & ( in @ Y1 @ X2 @ mactual )
                      & ( qmltpeq @ X8 @ Y1 @ mactual )
                      & ( in @ Y0 @ X1 @ mactual )
                      & ( qmltpeq @ X7 @ Y0 @ mactual )
                      & ( young @ X8 @ mactual )
                      & ( man @ X8 @ mactual )
                      & ( fellow @ X8 @ mactual )
                      & ( young @ X7 @ mactual )
                      & ( man @ X7 @ mactual )
                      & ( fellow @ X7 @ mactual )
                      & ~ ( qmltpeq @ X7 @ X8 @ mactual )
                      & ( in @ X4 @ X3 @ mactual )
                      & ( down @ X4 @ X6 @ mactual )
                      & ( barrel @ X4 @ X5 @ mactual )
                      & ( lonely @ X6 @ mactual )
                      & ( way @ X6 @ mactual )
                      & ( street @ X6 @ mactual )
                      & ( old @ X5 @ mactual )
                      & ( dirty @ X5 @ mactual )
                      & ( white @ X5 @ mactual )
                      & ( car @ X5 @ mactual )
                      & ( chevy @ X5 @ mactual )
                      & ( event @ X4 @ mactual )
                      & ( city @ X3 @ mactual )
                      & ( hollywood @ X3 @ mactual )
                      & ( front @ X2 @ mactual )
                      & ( furniture @ X2 @ mactual )
                      & ( seat @ X2 @ mactual )
                      & ( front @ X1 @ mactual )
                      & ( furniture @ X1 @ mactual )
                      & ( seat @ X1 @ mactual ) ) ) )
            @ X9 )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(pi_proxy_clausification,[],[f866]) ).

thf(f870,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( ( eiw_di @ X9 @ mactual )
            & ( ?? @ $i
              @ ^ [Y0: $i] :
                  ( ( eiw_di @ Y0 @ mactual )
                  & ( in @ Y0 @ X2 @ mactual )
                  & ( qmltpeq @ X8 @ Y0 @ mactual )
                  & ( in @ X9 @ X1 @ mactual )
                  & ( qmltpeq @ X7 @ X9 @ mactual )
                  & ( young @ X8 @ mactual )
                  & ( man @ X8 @ mactual )
                  & ( fellow @ X8 @ mactual )
                  & ( young @ X7 @ mactual )
                  & ( man @ X7 @ mactual )
                  & ( fellow @ X7 @ mactual )
                  & ~ ( qmltpeq @ X7 @ X8 @ mactual )
                  & ( in @ X4 @ X3 @ mactual )
                  & ( down @ X4 @ X6 @ mactual )
                  & ( barrel @ X4 @ X5 @ mactual )
                  & ( lonely @ X6 @ mactual )
                  & ( way @ X6 @ mactual )
                  & ( street @ X6 @ mactual )
                  & ( old @ X5 @ mactual )
                  & ( dirty @ X5 @ mactual )
                  & ( white @ X5 @ mactual )
                  & ( car @ X5 @ mactual )
                  & ( chevy @ X5 @ mactual )
                  & ( event @ X4 @ mactual )
                  & ( city @ X3 @ mactual )
                  & ( hollywood @ X3 @ mactual )
                  & ( front @ X2 @ mactual )
                  & ( furniture @ X2 @ mactual )
                  & ( seat @ X2 @ mactual )
                  & ( front @ X1 @ mactual )
                  & ( furniture @ X1 @ mactual )
                  & ( seat @ X1 @ mactual ) ) ) )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) ) )
    | ~ spl0_2 ),
    inference(beta-eta_normalization,[],[f867]) ).

thf(f871,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 )
                & ( in @ Y0 @ X2 @ mactual )
                & ( qmltpeq @ X8 @ Y0 @ mactual )
                & ( in @ X9 @ X1 @ mactual )
                & ( qmltpeq @ X7 @ X9 @ mactual )
                & ( young @ X8 @ mactual )
                & ( man @ X8 @ mactual )
                & ( fellow @ X8 @ mactual )
                & ( young @ X7 @ mactual )
                & ( man @ X7 @ mactual )
                & ( fellow @ X7 @ mactual )
                & ~ ( qmltpeq @ X7 @ X8 @ mactual )
                & ( in @ X4 @ X3 @ mactual )
                & ( down @ X4 @ X6 @ mactual )
                & ( barrel @ X4 @ X5 @ mactual )
                & ( lonely @ X6 @ mactual )
                & ( way @ X6 @ mactual )
                & ( street @ X6 @ mactual )
                & ( old @ X5 @ mactual )
                & ( dirty @ X5 @ mactual )
                & ( white @ X5 @ mactual )
                & ( car @ X5 @ mactual )
                & ( chevy @ X5 @ mactual )
                & ( event @ X4 @ mactual )
                & ( city @ X3 @ mactual )
                & ( hollywood @ X3 @ mactual )
                & ( front @ X2 @ mactual )
                & ( furniture @ X2 @ mactual )
                & ( seat @ X2 @ mactual )
                & ( front @ X1 @ mactual )
                & ( furniture @ X1 @ mactual )
                & ( seat @ X1 @ mactual ) ) )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( ( eiw_di @ X9 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f870]) ).

thf(f872,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 @ X9 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ mactual )
                & ( in @ Y0 @ X2 @ mactual )
                & ( qmltpeq @ X8 @ Y0 @ mactual )
                & ( in @ X9 @ X1 @ mactual )
                & ( qmltpeq @ X7 @ X9 @ mactual )
                & ( young @ X8 @ mactual )
                & ( man @ X8 @ mactual )
                & ( fellow @ X8 @ mactual )
                & ( young @ X7 @ mactual )
                & ( man @ X7 @ mactual )
                & ( fellow @ X7 @ mactual )
                & ~ ( qmltpeq @ X7 @ X8 @ mactual )
                & ( in @ X4 @ X3 @ mactual )
                & ( down @ X4 @ X6 @ mactual )
                & ( barrel @ X4 @ X5 @ mactual )
                & ( lonely @ X6 @ mactual )
                & ( way @ X6 @ mactual )
                & ( street @ X6 @ mactual )
                & ( old @ X5 @ mactual )
                & ( dirty @ X5 @ mactual )
                & ( white @ X5 @ mactual )
                & ( car @ X5 @ mactual )
                & ( chevy @ X5 @ mactual )
                & ( event @ X4 @ mactual )
                & ( city @ X3 @ mactual )
                & ( hollywood @ X3 @ mactual )
                & ( front @ X2 @ mactual )
                & ( furniture @ X2 @ mactual )
                & ( seat @ X2 @ mactual )
                & ( front @ X1 @ mactual )
                & ( furniture @ X1 @ mactual )
                & ( seat @ X1 @ mactual ) )
            @ X10 )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) ) )
    | ~ spl0_2 ),
    inference(pi_proxy_clausification,[],[f871]) ).

thf(f874,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( eiw_di @ X9 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( ( eiw_di @ X10 @ mactual )
            & ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( young @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( young @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ( down @ X4 @ X6 @ mactual )
            & ( barrel @ X4 @ X5 @ mactual )
            & ( lonely @ X6 @ mactual )
            & ( way @ X6 @ mactual )
            & ( street @ X6 @ mactual )
            & ( old @ X5 @ mactual )
            & ( dirty @ X5 @ mactual )
            & ( white @ X5 @ mactual )
            & ( car @ X5 @ mactual )
            & ( chevy @ X5 @ mactual )
            & ( event @ X4 @ mactual )
            & ( city @ X3 @ mactual )
            & ( hollywood @ X3 @ mactual )
            & ( front @ X2 @ mactual )
            & ( furniture @ X2 @ mactual )
            & ( seat @ X2 @ mactual )
            & ( front @ X1 @ mactual )
            & ( furniture @ X1 @ mactual )
            & ( seat @ X1 @ mactual ) )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(beta-eta_normalization,[],[f872]) ).

thf(f876,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( young @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( young @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ( down @ X4 @ X6 @ mactual )
            & ( barrel @ X4 @ X5 @ mactual )
            & ( lonely @ X6 @ mactual )
            & ( way @ X6 @ mactual )
            & ( street @ X6 @ mactual )
            & ( old @ X5 @ mactual )
            & ( dirty @ X5 @ mactual )
            & ( white @ X5 @ mactual )
            & ( car @ X5 @ mactual )
            & ( chevy @ X5 @ mactual )
            & ( event @ X4 @ mactual )
            & ( city @ X3 @ mactual )
            & ( hollywood @ X3 @ mactual )
            & ( front @ X2 @ mactual )
            & ( furniture @ X2 @ mactual )
            & ( seat @ X2 @ mactual )
            & ( front @ X1 @ mactual )
            & ( furniture @ X1 @ mactual )
            & ( seat @ X1 @ mactual ) )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( eiw_di @ X9 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X10 @ mactual ) )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f874]) ).

thf(f877,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 ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( $false
          = ( eiw_di @ X10 @ mactual ) )
        | ( ( eiw_di @ X9 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( young @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( young @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ( down @ X4 @ X6 @ mactual )
            & ( barrel @ X4 @ X5 @ mactual )
            & ( lonely @ X6 @ mactual )
            & ( way @ X6 @ mactual )
            & ( street @ X6 @ mactual )
            & ( old @ X5 @ mactual )
            & ( dirty @ X5 @ mactual )
            & ( white @ X5 @ mactual )
            & ( car @ X5 @ mactual )
            & ( chevy @ X5 @ mactual )
            & ( event @ X4 @ mactual )
            & ( city @ X3 @ mactual )
            & ( hollywood @ X3 @ mactual )
            & ( front @ X2 @ mactual )
            & ( furniture @ X2 @ mactual )
            & ( seat @ X2 @ mactual )
            & ( front @ X1 @ mactual )
            & ( furniture @ X1 @ mactual ) ) ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f876]) ).

thf(f878,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 )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( young @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( young @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ( down @ X4 @ X6 @ mactual )
            & ( barrel @ X4 @ X5 @ mactual )
            & ( lonely @ X6 @ mactual )
            & ( way @ X6 @ mactual )
            & ( street @ X6 @ mactual )
            & ( old @ X5 @ mactual )
            & ( dirty @ X5 @ mactual )
            & ( white @ X5 @ mactual )
            & ( car @ X5 @ mactual )
            & ( chevy @ X5 @ mactual )
            & ( event @ X4 @ mactual )
            & ( city @ X3 @ mactual )
            & ( hollywood @ X3 @ mactual )
            & ( front @ X2 @ mactual )
            & ( furniture @ X2 @ mactual )
            & ( seat @ X2 @ mactual )
            & ( front @ X1 @ mactual ) )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( eiw_di @ X9 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X10 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f877]) ).

thf(f879,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( eiw_di @ X10 @ mactual ) )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( young @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( young @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ( down @ X4 @ X6 @ mactual )
            & ( barrel @ X4 @ X5 @ mactual )
            & ( lonely @ X6 @ mactual )
            & ( way @ X6 @ mactual )
            & ( street @ X6 @ mactual )
            & ( old @ X5 @ mactual )
            & ( dirty @ X5 @ mactual )
            & ( white @ X5 @ mactual )
            & ( car @ X5 @ mactual )
            & ( chevy @ X5 @ mactual )
            & ( event @ X4 @ mactual )
            & ( city @ X3 @ mactual )
            & ( hollywood @ X3 @ mactual )
            & ( front @ X2 @ mactual )
            & ( furniture @ X2 @ mactual )
            & ( seat @ X2 @ mactual ) ) )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X9 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( eiw_di @ X7 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f878]) ).

thf(f880,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( eiw_di @ X9 @ mactual )
          = $false )
        | ( $false
          = ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( young @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( young @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ( down @ X4 @ X6 @ mactual )
            & ( barrel @ X4 @ X5 @ mactual )
            & ( lonely @ X6 @ mactual )
            & ( way @ X6 @ mactual )
            & ( street @ X6 @ mactual )
            & ( old @ X5 @ mactual )
            & ( dirty @ X5 @ mactual )
            & ( white @ X5 @ mactual )
            & ( car @ X5 @ mactual )
            & ( chevy @ X5 @ mactual )
            & ( event @ X4 @ mactual )
            & ( city @ X3 @ mactual )
            & ( hollywood @ X3 @ mactual )
            & ( front @ X2 @ mactual )
            & ( furniture @ X2 @ mactual ) ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X10 @ mactual ) ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f879]) ).

thf(f881,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( young @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( young @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ( down @ X4 @ X6 @ mactual )
            & ( barrel @ X4 @ X5 @ mactual )
            & ( lonely @ X6 @ mactual )
            & ( way @ X6 @ mactual )
            & ( street @ X6 @ mactual )
            & ( old @ X5 @ mactual )
            & ( dirty @ X5 @ mactual )
            & ( white @ X5 @ mactual )
            & ( car @ X5 @ mactual )
            & ( chevy @ X5 @ mactual )
            & ( event @ X4 @ mactual )
            & ( city @ X3 @ mactual )
            & ( hollywood @ X3 @ mactual )
            & ( front @ X2 @ mactual ) )
          = $false )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( furniture @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X10 @ mactual ) )
        | ( ( eiw_di @ X9 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f880]) ).

thf(f882,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( front @ X1 @ mactual ) )
        | ( ( furniture @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( young @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( young @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ( down @ X4 @ X6 @ mactual )
            & ( barrel @ X4 @ X5 @ mactual )
            & ( lonely @ X6 @ mactual )
            & ( way @ X6 @ mactual )
            & ( street @ X6 @ mactual )
            & ( old @ X5 @ mactual )
            & ( dirty @ X5 @ mactual )
            & ( white @ X5 @ mactual )
            & ( car @ X5 @ mactual )
            & ( chevy @ X5 @ mactual )
            & ( event @ X4 @ mactual )
            & ( city @ X3 @ mactual )
            & ( hollywood @ X3 @ mactual ) )
          = $false )
        | ( ( eiw_di @ X9 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X10 @ mactual ) )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( furniture @ X1 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f881]) ).

thf(f883,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( furniture @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X9 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X10 @ mactual ) )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( young @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( young @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ( down @ X4 @ X6 @ mactual )
            & ( barrel @ X4 @ X5 @ mactual )
            & ( lonely @ X6 @ mactual )
            & ( way @ X6 @ mactual )
            & ( street @ X6 @ mactual )
            & ( old @ X5 @ mactual )
            & ( dirty @ X5 @ mactual )
            & ( white @ X5 @ mactual )
            & ( car @ X5 @ mactual )
            & ( chevy @ X5 @ mactual )
            & ( event @ X4 @ mactual )
            & ( city @ X3 @ mactual ) )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f882]) ).

thf(f884,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X10 @ mactual ) )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( ( furniture @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X9 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( young @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( young @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ( down @ X4 @ X6 @ mactual )
            & ( barrel @ X4 @ X5 @ mactual )
            & ( lonely @ X6 @ mactual )
            & ( way @ X6 @ mactual )
            & ( street @ X6 @ mactual )
            & ( old @ X5 @ mactual )
            & ( dirty @ X5 @ mactual )
            & ( white @ X5 @ mactual )
            & ( car @ X5 @ mactual )
            & ( chevy @ X5 @ mactual )
            & ( event @ X4 @ mactual ) )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f883]) ).

thf(f885,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 )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( young @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( young @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ( down @ X4 @ X6 @ mactual )
            & ( barrel @ X4 @ X5 @ mactual )
            & ( lonely @ X6 @ mactual )
            & ( way @ X6 @ mactual )
            & ( street @ X6 @ mactual )
            & ( old @ X5 @ mactual )
            & ( dirty @ X5 @ mactual )
            & ( white @ X5 @ mactual )
            & ( car @ X5 @ mactual )
            & ( chevy @ X5 @ mactual ) )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( ( eiw_di @ X9 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X10 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( furniture @ X2 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f884]) ).

thf(f886,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( furniture @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( eiw_di @ X9 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( ( chevy @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( young @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( young @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ( down @ X4 @ X6 @ mactual )
            & ( barrel @ X4 @ X5 @ mactual )
            & ( lonely @ X6 @ mactual )
            & ( way @ X6 @ mactual )
            & ( street @ X6 @ mactual )
            & ( old @ X5 @ mactual )
            & ( dirty @ X5 @ mactual )
            & ( white @ X5 @ mactual )
            & ( car @ X5 @ mactual ) ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X10 @ mactual ) ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f885]) ).

thf(f887,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 ) )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( car @ X5 @ mactual )
          = $false )
        | ( ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( young @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( young @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ( down @ X4 @ X6 @ mactual )
            & ( barrel @ X4 @ X5 @ mactual )
            & ( lonely @ X6 @ mactual )
            & ( way @ X6 @ mactual )
            & ( street @ X6 @ mactual )
            & ( old @ X5 @ mactual )
            & ( dirty @ X5 @ mactual )
            & ( white @ X5 @ mactual ) )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X10 @ mactual ) )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( ( chevy @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X9 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( ( furniture @ X2 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f886]) ).

thf(f888,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 )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X9 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( furniture @ X2 @ mactual )
          = $false )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( white @ X5 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X10 @ mactual ) )
        | ( ( chevy @ X5 @ mactual )
          = $false )
        | ( ( car @ X5 @ mactual )
          = $false )
        | ( ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( young @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( young @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ( down @ X4 @ X6 @ mactual )
            & ( barrel @ X4 @ X5 @ mactual )
            & ( lonely @ X6 @ mactual )
            & ( way @ X6 @ mactual )
            & ( street @ X6 @ mactual )
            & ( old @ X5 @ mactual )
            & ( dirty @ X5 @ mactual ) )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f887]) ).

thf(f889,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( eiw_di @ X9 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( white @ X5 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( chevy @ X5 @ mactual )
          = $false )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( car @ X5 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( $false
          = ( eiw_di @ X10 @ mactual ) )
        | ( ( furniture @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( dirty @ X5 @ mactual )
          = $false )
        | ( ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( young @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( young @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ( down @ X4 @ X6 @ mactual )
            & ( barrel @ X4 @ X5 @ mactual )
            & ( lonely @ X6 @ mactual )
            & ( way @ X6 @ mactual )
            & ( street @ X6 @ mactual )
            & ( old @ X5 @ mactual ) )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f888]) ).

thf(f890,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 @ X3 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( chevy @ X5 @ mactual )
          = $false )
        | ( ( car @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X10 @ mactual ) )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( old @ X5 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( furniture @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( dirty @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( ( white @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X9 @ mactual )
          = $false )
        | ( ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( young @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( young @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ( down @ X4 @ X6 @ mactual )
            & ( barrel @ X4 @ X5 @ mactual )
            & ( lonely @ X6 @ mactual )
            & ( way @ X6 @ mactual )
            & ( street @ X6 @ mactual ) )
          = $false )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f889]) ).

thf(f891,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( white @ X5 @ mactual )
          = $false )
        | ( ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( young @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( young @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ( down @ X4 @ X6 @ mactual )
            & ( barrel @ X4 @ X5 @ mactual )
            & ( lonely @ X6 @ mactual )
            & ( way @ X6 @ mactual ) )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X10 @ mactual ) )
        | ( ( eiw_di @ X9 @ mactual )
          = $false )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( ( dirty @ X5 @ mactual )
          = $false )
        | ( ( furniture @ X2 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( street @ X6 @ mactual )
          = $false )
        | ( ( car @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( old @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( chevy @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f890]) ).

thf(f892,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( eiw_di @ X10 @ mactual ) )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( car @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X9 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( old @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( street @ X6 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( white @ X5 @ mactual )
          = $false )
        | ( ( chevy @ X5 @ mactual )
          = $false )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( furniture @ X2 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( $false
          = ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( young @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( young @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ( down @ X4 @ X6 @ mactual )
            & ( barrel @ X4 @ X5 @ mactual )
            & ( lonely @ X6 @ mactual ) ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( way @ X6 @ mactual )
          = $false )
        | ( ( dirty @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f891]) ).

thf(f893,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( dirty @ X5 @ mactual )
          = $false )
        | ( ( street @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( car @ X5 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( white @ X5 @ mactual )
          = $false )
        | ( ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( young @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( young @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ( down @ X4 @ X6 @ mactual )
            & ( barrel @ X4 @ X5 @ mactual ) )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( way @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( furniture @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X10 @ mactual ) )
        | ( ( old @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( lonely @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X9 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( ( chevy @ X5 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f892]) ).

thf(f894,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 )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( ( eiw_di @ X9 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( old @ X5 @ mactual )
          = $false )
        | ( ( way @ X6 @ mactual )
          = $false )
        | ( ( dirty @ X5 @ mactual )
          = $false )
        | ( ( chevy @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( $false
          = ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( young @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( young @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ( down @ X4 @ X6 @ mactual ) ) )
        | ( ( lonely @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( white @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X10 @ mactual ) )
        | ( ( car @ X5 @ mactual )
          = $false )
        | ( ( street @ X6 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( furniture @ X2 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( barrel @ X4 @ X5 @ mactual )
          = $false )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f893]) ).

thf(f895,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( furniture @ X2 @ mactual )
          = $false )
        | ( ( street @ X6 @ mactual )
          = $false )
        | ( ( old @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( ( car @ X5 @ mactual )
          = $false )
        | ( ( barrel @ X4 @ X5 @ mactual )
          = $false )
        | ( $false
          = ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( young @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( young @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( in @ X4 @ X3 @ mactual ) ) )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( down @ X4 @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X9 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X10 @ mactual ) )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( way @ X6 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( dirty @ X5 @ mactual )
          = $false )
        | ( ( white @ X5 @ mactual )
          = $false )
        | ( ( lonely @ X6 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( chevy @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f894]) ).

thf(f896,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( front @ X1 @ mactual ) )
        | ( ( old @ X5 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( chevy @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X9 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( car @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( barrel @ X4 @ X5 @ mactual )
          = $false )
        | ( ( down @ X4 @ X6 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X10 @ mactual ) )
        | ( ( lonely @ X6 @ mactual )
          = $false )
        | ( ( furniture @ X2 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( street @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( way @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( young @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( young @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual ) )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( dirty @ X5 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( white @ X5 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( ( furniture @ X1 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f895]) ).

thf(f897,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( chevy @ X5 @ mactual )
          = $false )
        | ( ( old @ X5 @ mactual )
          = $false )
        | ( ( ~ ( qmltpeq @ X7 @ X8 @ mactual ) )
          = $false )
        | ( ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( young @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( young @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( fellow @ X7 @ mactual ) )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X10 @ mactual ) )
        | ( ( down @ X4 @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( dirty @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( barrel @ X4 @ X5 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( furniture @ X2 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( car @ X5 @ mactual )
          = $false )
        | ( ( way @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( ( street @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X9 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( lonely @ X6 @ mactual )
          = $false )
        | ( ( white @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f896]) ).

thf(f898,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 @ X5 @ mactual ) )
        | ( ( qmltpeq @ X7 @ X8 @ mactual )
          = $true )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( ( down @ X4 @ X6 @ mactual )
          = $false )
        | ( ( lonely @ X6 @ mactual )
          = $false )
        | ( ( barrel @ X4 @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( old @ X5 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X9 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X10 @ mactual ) )
        | ( ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( young @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( young @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( fellow @ X7 @ mactual ) )
          = $false )
        | ( ( furniture @ X2 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( way @ X6 @ mactual )
          = $false )
        | ( ( dirty @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( chevy @ X5 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( white @ X5 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( car @ X5 @ mactual )
          = $false )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( street @ X6 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(not_proxy_clausification,[],[f897]) ).

thf(f899,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( young @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( young @ X7 @ mactual )
            & ( man @ X7 @ mactual ) )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( barrel @ X4 @ X5 @ mactual )
          = $false )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( white @ X5 @ mactual )
          = $false )
        | ( ( car @ X5 @ mactual )
          = $false )
        | ( ( old @ X5 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( down @ X4 @ X6 @ mactual )
          = $false )
        | ( ( qmltpeq @ X7 @ X8 @ mactual )
          = $true )
        | ( ( lonely @ X6 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( furniture @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( way @ X6 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( street @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X9 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( $false
          = ( eiw_di @ X10 @ mactual ) )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ X7 @ mactual ) )
        | ( ( chevy @ X5 @ mactual )
          = $false )
        | ( ( dirty @ X5 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f898]) ).

thf(f900,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( way @ X6 @ mactual )
          = $false )
        | ( ( street @ X6 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( down @ X4 @ X6 @ mactual )
          = $false )
        | ( ( lonely @ X6 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( old @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( man @ X7 @ mactual ) )
        | ( $false
          = ( eiw_di @ X10 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X9 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( car @ X5 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( ( dirty @ X5 @ mactual )
          = $false )
        | ( ( chevy @ X5 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( ( white @ X5 @ mactual )
          = $false )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( qmltpeq @ X7 @ X8 @ mactual )
          = $true )
        | ( ( barrel @ X4 @ X5 @ mactual )
          = $false )
        | ( ( furniture @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( $false
          = ( fellow @ X7 @ mactual ) )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( young @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( fellow @ X8 @ mactual )
            & ( young @ X7 @ mactual ) )
          = $false ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f899]) ).

thf(f901,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( $false
          = ( man @ X7 @ mactual ) )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( ( lonely @ X6 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( $false
          = ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( young @ X8 @ mactual )
            & ( man @ X8 @ mactual )
            & ( fellow @ X8 @ mactual ) ) )
        | ( $false
          = ( eiw_di @ X10 @ mactual ) )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( old @ X5 @ mactual )
          = $false )
        | ( ( chevy @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X9 @ mactual )
          = $false )
        | ( ( way @ X6 @ mactual )
          = $false )
        | ( ( down @ X4 @ X6 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( ( furniture @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( street @ X6 @ mactual )
          = $false )
        | ( ( dirty @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( barrel @ X4 @ X5 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ X7 @ mactual ) )
        | ( ( car @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( ( white @ X5 @ mactual )
          = $false )
        | ( ( qmltpeq @ X7 @ X8 @ mactual )
          = $true )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( young @ X7 @ mactual ) )
        | ( ( seat @ X2 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f900]) ).

thf(f902,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( eiw_di @ X9 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( white @ X5 @ mactual )
          = $false )
        | ( ( way @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( barrel @ X4 @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( ( dirty @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( $false
          = ( young @ X7 @ mactual ) )
        | ( $false
          = ( fellow @ X7 @ mactual ) )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( fellow @ X8 @ mactual )
          = $false )
        | ( ( down @ X4 @ X6 @ mactual )
          = $false )
        | ( ( old @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( chevy @ X5 @ mactual )
          = $false )
        | ( ( qmltpeq @ X7 @ X8 @ mactual )
          = $true )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( lonely @ X6 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( $false
          = ( man @ X7 @ mactual ) )
        | ( $false
          = ( eiw_di @ X10 @ mactual ) )
        | ( ( furniture @ X2 @ mactual )
          = $false )
        | ( ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( young @ X8 @ mactual )
            & ( man @ X8 @ mactual ) )
          = $false )
        | ( ( car @ X5 @ mactual )
          = $false )
        | ( ( street @ X6 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f901]) ).

thf(f903,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( chevy @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( old @ X5 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( barrel @ X4 @ X5 @ mactual )
          = $false )
        | ( ( way @ X6 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( eiw_di @ X9 @ mactual )
          = $false )
        | ( ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( young @ X8 @ mactual ) )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X10 @ mactual ) )
        | ( $false
          = ( young @ X7 @ mactual ) )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( $false
          = ( man @ X7 @ mactual ) )
        | ( ( furniture @ X2 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( man @ X8 @ mactual )
          = $false )
        | ( ( dirty @ X5 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( down @ X4 @ X6 @ mactual )
          = $false )
        | ( ( street @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( ( car @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( ( white @ X5 @ mactual )
          = $false )
        | ( ( lonely @ X6 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ X7 @ mactual ) )
        | ( ( fellow @ X8 @ mactual )
          = $false )
        | ( ( qmltpeq @ X7 @ X8 @ mactual )
          = $true ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f902]) ).

thf(f904,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( dirty @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( $false
          = ( man @ X7 @ mactual ) )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( barrel @ X4 @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( $false
          = ( fellow @ X7 @ mactual ) )
        | ( ( chevy @ X5 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual ) )
          = $false )
        | ( ( old @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( lonely @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X9 @ mactual )
          = $false )
        | ( ( furniture @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( man @ X8 @ mactual )
          = $false )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( ( car @ X5 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( fellow @ X8 @ mactual )
          = $false )
        | ( $false
          = ( young @ X7 @ mactual ) )
        | ( $false
          = ( eiw_di @ X10 @ mactual ) )
        | ( ( way @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( ( young @ X8 @ mactual )
          = $false )
        | ( ( street @ X6 @ mactual )
          = $false )
        | ( ( qmltpeq @ X7 @ X8 @ mactual )
          = $true )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( down @ X4 @ X6 @ mactual )
          = $false )
        | ( ( white @ X5 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f903]) ).

thf(f905,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( furniture @ X2 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( $false
          = ( qmltpeq @ X7 @ X9 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( man @ X7 @ mactual ) )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( down @ X4 @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X10 @ mactual ) )
        | ( ( car @ X5 @ mactual )
          = $false )
        | ( ( barrel @ X4 @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( $false
          = ( fellow @ X7 @ mactual ) )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( street @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( way @ X6 @ mactual )
          = $false )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X9 @ X1 @ mactual ) )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( old @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( white @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X9 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( qmltpeq @ X7 @ X8 @ mactual )
          = $true )
        | ( ( chevy @ X5 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( ( young @ X8 @ mactual )
          = $false )
        | ( ( fellow @ X8 @ mactual )
          = $false )
        | ( ( lonely @ X6 @ mactual )
          = $false )
        | ( ( dirty @ X5 @ mactual )
          = $false )
        | ( ( man @ X8 @ mactual )
          = $false )
        | ( $false
          = ( young @ X7 @ mactual ) ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f904]) ).

thf(f906,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( $false
          = ( fellow @ X7 @ mactual ) )
        | ( ( chevy @ X5 @ mactual )
          = $false )
        | ( ( old @ X5 @ mactual )
          = $false )
        | ( ( car @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( ( dirty @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( street @ X6 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( in @ X9 @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( barrel @ X4 @ X5 @ mactual )
          = $false )
        | ( $false
          = ( young @ X7 @ mactual ) )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( down @ X4 @ X6 @ mactual )
          = $false )
        | ( ( qmltpeq @ X7 @ X8 @ mactual )
          = $true )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( lonely @ X6 @ mactual )
          = $false )
        | ( ( fellow @ X8 @ mactual )
          = $false )
        | ( ( eiw_di @ X9 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X10 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual ) )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( $false
          = ( man @ X7 @ mactual ) )
        | ( $false
          = ( qmltpeq @ X7 @ X9 @ mactual ) )
        | ( ( man @ X8 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( ( furniture @ X2 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( ( white @ X5 @ mactual )
          = $false )
        | ( ( way @ X6 @ mactual )
          = $false )
        | ( ( young @ X8 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f905]) ).

thf(f907,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X5 @ mactual ) )
        | ( ( qmltpeq @ X8 @ X10 @ mactual )
          = $false )
        | ( ( down @ X4 @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( $false
          = ( young @ X7 @ mactual ) )
        | ( $false
          = ( man @ X7 @ mactual ) )
        | ( ( lonely @ X6 @ mactual )
          = $false )
        | ( $false
          = ( qmltpeq @ X7 @ X9 @ mactual ) )
        | ( ( dirty @ X5 @ mactual )
          = $false )
        | ( ( front @ X2 @ mactual )
          = $false )
        | ( ( way @ X6 @ mactual )
          = $false )
        | ( ( street @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X8 @ mactual ) )
        | ( ( qmltpeq @ X7 @ X8 @ mactual )
          = $true )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( ( white @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X10 @ mactual ) )
        | ( ( fellow @ X8 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ X7 @ mactual ) )
        | ( ( old @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X9 @ mactual )
          = $false )
        | ( ( in @ X10 @ X2 @ mactual )
          = $false )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( ( young @ X8 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( in @ X9 @ X1 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( chevy @ X5 @ mactual )
          = $false )
        | ( ( barrel @ X4 @ X5 @ mactual )
          = $false )
        | ( ( car @ X5 @ mactual )
          = $false )
        | ( ( furniture @ X2 @ mactual )
          = $false )
        | ( ( man @ X8 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f906]) ).

thf(f908,plain,
    ( spl0_3
    | spl0_4
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f907,f226,f315,f312]) ).

thf(f913,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 )
                                                & ( in @ Y6 @ sK12 @ mactual )
                                                & ( qmltpeq @ Y4 @ Y6 @ mactual )
                                                & ( in @ Y5 @ sK11 @ mactual )
                                                & ( qmltpeq @ Y3 @ Y5 @ mactual )
                                                & ( young @ Y4 @ mactual )
                                                & ( man @ Y4 @ mactual )
                                                & ( fellow @ Y4 @ mactual )
                                                & ( young @ Y3 @ mactual )
                                                & ( man @ Y3 @ mactual )
                                                & ( fellow @ Y3 @ mactual )
                                                & ~ ( qmltpeq @ Y3 @ Y4 @ mactual )
                                                & ( in @ Y0 @ sK13 @ mactual )
                                                & ( down @ Y0 @ Y1 @ mactual )
                                                & ( barrel @ Y0 @ Y2 @ mactual )
                                                & ( old @ Y2 @ mactual )
                                                & ( dirty @ Y2 @ mactual )
                                                & ( white @ Y2 @ mactual )
                                                & ( car @ Y2 @ mactual )
                                                & ( chevy @ Y2 @ mactual )
                                                & ( lonely @ Y1 @ mactual )
                                                & ( way @ Y1 @ mactual )
                                                & ( street @ Y1 @ mactual )
                                                & ( event @ Y0 @ mactual )
                                                & ( city @ sK13 @ mactual )
                                                & ( hollywood @ sK13 @ mactual )
                                                & ( front @ sK12 @ mactual )
                                                & ( furniture @ sK12 @ mactual )
                                                & ( seat @ sK12 @ mactual )
                                                & ( front @ sK11 @ mactual )
                                                & ( furniture @ sK11 @ mactual )
                                                & ( seat @ sK11 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) )
        @ sK14 ) )
    | spl0_1 ),
    inference(sigma_proxy_clausification,[],[f838]) ).

thf(f915,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 )
                                            & ( in @ Y5 @ sK12 @ mactual )
                                            & ( qmltpeq @ Y3 @ Y5 @ mactual )
                                            & ( in @ Y4 @ sK11 @ mactual )
                                            & ( qmltpeq @ Y2 @ Y4 @ mactual )
                                            & ( young @ Y3 @ mactual )
                                            & ( man @ Y3 @ mactual )
                                            & ( fellow @ Y3 @ mactual )
                                            & ( young @ Y2 @ mactual )
                                            & ( man @ Y2 @ mactual )
                                            & ( fellow @ Y2 @ mactual )
                                            & ~ ( qmltpeq @ Y2 @ Y3 @ mactual )
                                            & ( in @ sK14 @ sK13 @ mactual )
                                            & ( down @ sK14 @ Y0 @ mactual )
                                            & ( barrel @ sK14 @ Y1 @ mactual )
                                            & ( old @ Y1 @ mactual )
                                            & ( dirty @ Y1 @ mactual )
                                            & ( white @ Y1 @ mactual )
                                            & ( car @ Y1 @ mactual )
                                            & ( chevy @ Y1 @ mactual )
                                            & ( lonely @ Y0 @ mactual )
                                            & ( way @ Y0 @ mactual )
                                            & ( street @ Y0 @ mactual )
                                            & ( event @ sK14 @ mactual )
                                            & ( city @ sK13 @ mactual )
                                            & ( hollywood @ sK13 @ mactual )
                                            & ( front @ sK12 @ mactual )
                                            & ( furniture @ sK12 @ mactual )
                                            & ( seat @ sK12 @ mactual )
                                            & ( front @ sK11 @ mactual )
                                            & ( furniture @ sK11 @ mactual )
                                            & ( seat @ sK11 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | spl0_1 ),
    inference(beta-eta_normalization,[],[f913]) ).

thf(f917,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 )
                                          & ( in @ Y5 @ sK12 @ mactual )
                                          & ( qmltpeq @ Y3 @ Y5 @ mactual )
                                          & ( in @ Y4 @ sK11 @ mactual )
                                          & ( qmltpeq @ Y2 @ Y4 @ mactual )
                                          & ( young @ Y3 @ mactual )
                                          & ( man @ Y3 @ mactual )
                                          & ( fellow @ Y3 @ mactual )
                                          & ( young @ Y2 @ mactual )
                                          & ( man @ Y2 @ mactual )
                                          & ( fellow @ Y2 @ mactual )
                                          & ~ ( qmltpeq @ Y2 @ Y3 @ mactual )
                                          & ( in @ sK14 @ sK13 @ mactual )
                                          & ( down @ sK14 @ Y0 @ mactual )
                                          & ( barrel @ sK14 @ Y1 @ mactual )
                                          & ( old @ Y1 @ mactual )
                                          & ( dirty @ Y1 @ mactual )
                                          & ( white @ Y1 @ mactual )
                                          & ( car @ Y1 @ mactual )
                                          & ( chevy @ Y1 @ mactual )
                                          & ( lonely @ Y0 @ mactual )
                                          & ( way @ Y0 @ mactual )
                                          & ( street @ Y0 @ mactual )
                                          & ( event @ sK14 @ mactual )
                                          & ( city @ sK13 @ mactual )
                                          & ( hollywood @ sK13 @ mactual )
                                          & ( front @ sK12 @ mactual )
                                          & ( furniture @ sK12 @ mactual )
                                          & ( seat @ sK12 @ mactual )
                                          & ( front @ sK11 @ mactual )
                                          & ( furniture @ sK11 @ mactual )
                                          & ( seat @ sK11 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f915]) ).

thf(f918,plain,
    ( ( ( eiw_di @ sK14 @ mactual )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f915]) ).

thf(f927,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 )
                                          & ( in @ Y5 @ sK12 @ mactual )
                                          & ( qmltpeq @ Y3 @ Y5 @ mactual )
                                          & ( in @ Y4 @ sK11 @ mactual )
                                          & ( qmltpeq @ Y2 @ Y4 @ mactual )
                                          & ( young @ Y3 @ mactual )
                                          & ( man @ Y3 @ mactual )
                                          & ( fellow @ Y3 @ mactual )
                                          & ( young @ Y2 @ mactual )
                                          & ( man @ Y2 @ mactual )
                                          & ( fellow @ Y2 @ mactual )
                                          & ~ ( qmltpeq @ Y2 @ Y3 @ mactual )
                                          & ( in @ sK14 @ sK13 @ mactual )
                                          & ( down @ sK14 @ Y0 @ mactual )
                                          & ( barrel @ sK14 @ Y1 @ mactual )
                                          & ( old @ Y1 @ mactual )
                                          & ( dirty @ Y1 @ mactual )
                                          & ( white @ Y1 @ mactual )
                                          & ( car @ Y1 @ mactual )
                                          & ( chevy @ Y1 @ mactual )
                                          & ( lonely @ Y0 @ mactual )
                                          & ( way @ Y0 @ mactual )
                                          & ( street @ Y0 @ mactual )
                                          & ( event @ sK14 @ mactual )
                                          & ( city @ sK13 @ mactual )
                                          & ( hollywood @ sK13 @ mactual )
                                          & ( front @ sK12 @ mactual )
                                          & ( furniture @ sK12 @ mactual )
                                          & ( seat @ sK12 @ mactual )
                                          & ( front @ sK11 @ mactual )
                                          & ( furniture @ sK11 @ mactual )
                                          & ( seat @ sK11 @ mactual ) ) ) ) ) ) ) ) ) ) ) )
        @ sK15 )
      = $true )
    | spl0_1 ),
    inference(sigma_proxy_clausification,[],[f917]) ).

thf(f929,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 )
                                      & ( in @ Y4 @ sK12 @ mactual )
                                      & ( qmltpeq @ Y2 @ Y4 @ mactual )
                                      & ( in @ Y3 @ sK11 @ mactual )
                                      & ( qmltpeq @ Y1 @ Y3 @ mactual )
                                      & ( young @ Y2 @ mactual )
                                      & ( man @ Y2 @ mactual )
                                      & ( fellow @ Y2 @ mactual )
                                      & ( young @ Y1 @ mactual )
                                      & ( man @ Y1 @ mactual )
                                      & ( fellow @ Y1 @ mactual )
                                      & ~ ( qmltpeq @ Y1 @ Y2 @ mactual )
                                      & ( in @ sK14 @ sK13 @ mactual )
                                      & ( down @ sK14 @ sK15 @ mactual )
                                      & ( barrel @ sK14 @ Y0 @ mactual )
                                      & ( old @ Y0 @ mactual )
                                      & ( dirty @ Y0 @ mactual )
                                      & ( white @ Y0 @ mactual )
                                      & ( car @ Y0 @ mactual )
                                      & ( chevy @ Y0 @ mactual )
                                      & ( lonely @ sK15 @ mactual )
                                      & ( way @ sK15 @ mactual )
                                      & ( street @ sK15 @ mactual )
                                      & ( event @ sK14 @ mactual )
                                      & ( city @ sK13 @ mactual )
                                      & ( hollywood @ sK13 @ mactual )
                                      & ( front @ sK12 @ mactual )
                                      & ( furniture @ sK12 @ mactual )
                                      & ( seat @ sK12 @ mactual )
                                      & ( front @ sK11 @ mactual )
                                      & ( furniture @ sK11 @ mactual )
                                      & ( seat @ sK11 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) )
    | spl0_1 ),
    inference(beta-eta_normalization,[],[f927]) ).

thf(f931,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 )
                                    & ( in @ Y4 @ sK12 @ mactual )
                                    & ( qmltpeq @ Y2 @ Y4 @ mactual )
                                    & ( in @ Y3 @ sK11 @ mactual )
                                    & ( qmltpeq @ Y1 @ Y3 @ mactual )
                                    & ( young @ Y2 @ mactual )
                                    & ( man @ Y2 @ mactual )
                                    & ( fellow @ Y2 @ mactual )
                                    & ( young @ Y1 @ mactual )
                                    & ( man @ Y1 @ mactual )
                                    & ( fellow @ Y1 @ mactual )
                                    & ~ ( qmltpeq @ Y1 @ Y2 @ mactual )
                                    & ( in @ sK14 @ sK13 @ mactual )
                                    & ( down @ sK14 @ sK15 @ mactual )
                                    & ( barrel @ sK14 @ Y0 @ mactual )
                                    & ( old @ Y0 @ mactual )
                                    & ( dirty @ Y0 @ mactual )
                                    & ( white @ Y0 @ mactual )
                                    & ( car @ Y0 @ mactual )
                                    & ( chevy @ Y0 @ mactual )
                                    & ( lonely @ sK15 @ mactual )
                                    & ( way @ sK15 @ mactual )
                                    & ( street @ sK15 @ mactual )
                                    & ( event @ sK14 @ mactual )
                                    & ( city @ sK13 @ mactual )
                                    & ( hollywood @ sK13 @ mactual )
                                    & ( front @ sK12 @ mactual )
                                    & ( furniture @ sK12 @ mactual )
                                    & ( seat @ sK12 @ mactual )
                                    & ( front @ sK11 @ mactual )
                                    & ( furniture @ sK11 @ mactual )
                                    & ( seat @ sK11 @ mactual ) ) ) ) ) ) ) ) ) ) ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f929]) ).

thf(f932,plain,
    ( ( $true
      = ( eiw_di @ sK15 @ mactual ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f929]) ).

thf(f935,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 )
                                    & ( in @ Y4 @ sK12 @ mactual )
                                    & ( qmltpeq @ Y2 @ Y4 @ mactual )
                                    & ( in @ Y3 @ sK11 @ mactual )
                                    & ( qmltpeq @ Y1 @ Y3 @ mactual )
                                    & ( young @ Y2 @ mactual )
                                    & ( man @ Y2 @ mactual )
                                    & ( fellow @ Y2 @ mactual )
                                    & ( young @ Y1 @ mactual )
                                    & ( man @ Y1 @ mactual )
                                    & ( fellow @ Y1 @ mactual )
                                    & ~ ( qmltpeq @ Y1 @ Y2 @ mactual )
                                    & ( in @ sK14 @ sK13 @ mactual )
                                    & ( down @ sK14 @ sK15 @ mactual )
                                    & ( barrel @ sK14 @ Y0 @ mactual )
                                    & ( old @ Y0 @ mactual )
                                    & ( dirty @ Y0 @ mactual )
                                    & ( white @ Y0 @ mactual )
                                    & ( car @ Y0 @ mactual )
                                    & ( chevy @ Y0 @ mactual )
                                    & ( lonely @ sK15 @ mactual )
                                    & ( way @ sK15 @ mactual )
                                    & ( street @ sK15 @ mactual )
                                    & ( event @ sK14 @ mactual )
                                    & ( city @ sK13 @ mactual )
                                    & ( hollywood @ sK13 @ mactual )
                                    & ( front @ sK12 @ mactual )
                                    & ( furniture @ sK12 @ mactual )
                                    & ( seat @ sK12 @ mactual )
                                    & ( front @ sK11 @ mactual )
                                    & ( furniture @ sK11 @ mactual )
                                    & ( seat @ sK11 @ mactual ) ) ) ) ) ) ) ) ) )
        @ sK16 )
      = $true )
    | spl0_1 ),
    inference(sigma_proxy_clausification,[],[f931]) ).

thf(f937,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 )
                                & ( in @ Y3 @ sK12 @ mactual )
                                & ( qmltpeq @ Y1 @ Y3 @ mactual )
                                & ( in @ Y2 @ sK11 @ mactual )
                                & ( qmltpeq @ Y0 @ Y2 @ mactual )
                                & ( young @ Y1 @ mactual )
                                & ( man @ Y1 @ mactual )
                                & ( fellow @ Y1 @ mactual )
                                & ( young @ Y0 @ mactual )
                                & ( man @ Y0 @ mactual )
                                & ( fellow @ Y0 @ mactual )
                                & ~ ( qmltpeq @ Y0 @ Y1 @ mactual )
                                & ( in @ sK14 @ sK13 @ mactual )
                                & ( down @ sK14 @ sK15 @ mactual )
                                & ( barrel @ sK14 @ sK16 @ mactual )
                                & ( old @ sK16 @ mactual )
                                & ( dirty @ sK16 @ mactual )
                                & ( white @ sK16 @ mactual )
                                & ( car @ sK16 @ mactual )
                                & ( chevy @ sK16 @ mactual )
                                & ( lonely @ sK15 @ mactual )
                                & ( way @ sK15 @ mactual )
                                & ( street @ sK15 @ mactual )
                                & ( event @ sK14 @ mactual )
                                & ( city @ sK13 @ mactual )
                                & ( hollywood @ sK13 @ mactual )
                                & ( front @ sK12 @ mactual )
                                & ( furniture @ sK12 @ mactual )
                                & ( seat @ sK12 @ mactual )
                                & ( front @ sK11 @ mactual )
                                & ( furniture @ sK11 @ mactual )
                                & ( seat @ sK11 @ mactual ) ) ) ) ) ) ) ) ) ) )
    | spl0_1 ),
    inference(beta-eta_normalization,[],[f935]) ).

thf(f939,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 )
                              & ( in @ Y3 @ sK12 @ mactual )
                              & ( qmltpeq @ Y1 @ Y3 @ mactual )
                              & ( in @ Y2 @ sK11 @ mactual )
                              & ( qmltpeq @ Y0 @ Y2 @ mactual )
                              & ( young @ Y1 @ mactual )
                              & ( man @ Y1 @ mactual )
                              & ( fellow @ Y1 @ mactual )
                              & ( young @ Y0 @ mactual )
                              & ( man @ Y0 @ mactual )
                              & ( fellow @ Y0 @ mactual )
                              & ~ ( qmltpeq @ Y0 @ Y1 @ mactual )
                              & ( in @ sK14 @ sK13 @ mactual )
                              & ( down @ sK14 @ sK15 @ mactual )
                              & ( barrel @ sK14 @ sK16 @ mactual )
                              & ( old @ sK16 @ mactual )
                              & ( dirty @ sK16 @ mactual )
                              & ( white @ sK16 @ mactual )
                              & ( car @ sK16 @ mactual )
                              & ( chevy @ sK16 @ mactual )
                              & ( lonely @ sK15 @ mactual )
                              & ( way @ sK15 @ mactual )
                              & ( street @ sK15 @ mactual )
                              & ( event @ sK14 @ mactual )
                              & ( city @ sK13 @ mactual )
                              & ( hollywood @ sK13 @ mactual )
                              & ( front @ sK12 @ mactual )
                              & ( furniture @ sK12 @ mactual )
                              & ( seat @ sK12 @ mactual )
                              & ( front @ sK11 @ mactual )
                              & ( furniture @ sK11 @ mactual )
                              & ( seat @ sK11 @ mactual ) ) ) ) ) ) ) ) ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f937]) ).

thf(f940,plain,
    ( ( ( eiw_di @ sK16 @ mactual )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f937]) ).

thf(f943,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 )
                              & ( in @ Y3 @ sK12 @ mactual )
                              & ( qmltpeq @ Y1 @ Y3 @ mactual )
                              & ( in @ Y2 @ sK11 @ mactual )
                              & ( qmltpeq @ Y0 @ Y2 @ mactual )
                              & ( young @ Y1 @ mactual )
                              & ( man @ Y1 @ mactual )
                              & ( fellow @ Y1 @ mactual )
                              & ( young @ Y0 @ mactual )
                              & ( man @ Y0 @ mactual )
                              & ( fellow @ Y0 @ mactual )
                              & ~ ( qmltpeq @ Y0 @ Y1 @ mactual )
                              & ( in @ sK14 @ sK13 @ mactual )
                              & ( down @ sK14 @ sK15 @ mactual )
                              & ( barrel @ sK14 @ sK16 @ mactual )
                              & ( old @ sK16 @ mactual )
                              & ( dirty @ sK16 @ mactual )
                              & ( white @ sK16 @ mactual )
                              & ( car @ sK16 @ mactual )
                              & ( chevy @ sK16 @ mactual )
                              & ( lonely @ sK15 @ mactual )
                              & ( way @ sK15 @ mactual )
                              & ( street @ sK15 @ mactual )
                              & ( event @ sK14 @ mactual )
                              & ( city @ sK13 @ mactual )
                              & ( hollywood @ sK13 @ mactual )
                              & ( front @ sK12 @ mactual )
                              & ( furniture @ sK12 @ mactual )
                              & ( seat @ sK12 @ mactual )
                              & ( front @ sK11 @ mactual )
                              & ( furniture @ sK11 @ mactual )
                              & ( seat @ sK11 @ mactual ) ) ) ) ) ) ) )
        @ sK17 ) )
    | spl0_1 ),
    inference(sigma_proxy_clausification,[],[f939]) ).

thf(f946,plain,
    ( ( ( ( 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 )
                          & ( in @ Y2 @ sK12 @ mactual )
                          & ( qmltpeq @ Y0 @ Y2 @ mactual )
                          & ( in @ Y1 @ sK11 @ mactual )
                          & ( qmltpeq @ sK17 @ Y1 @ mactual )
                          & ( young @ Y0 @ mactual )
                          & ( man @ Y0 @ mactual )
                          & ( fellow @ Y0 @ mactual )
                          & ( young @ sK17 @ mactual )
                          & ( man @ sK17 @ mactual )
                          & ( fellow @ sK17 @ mactual )
                          & ~ ( qmltpeq @ sK17 @ Y0 @ mactual )
                          & ( in @ sK14 @ sK13 @ mactual )
                          & ( down @ sK14 @ sK15 @ mactual )
                          & ( barrel @ sK14 @ sK16 @ mactual )
                          & ( old @ sK16 @ mactual )
                          & ( dirty @ sK16 @ mactual )
                          & ( white @ sK16 @ mactual )
                          & ( car @ sK16 @ mactual )
                          & ( chevy @ sK16 @ mactual )
                          & ( lonely @ sK15 @ mactual )
                          & ( way @ sK15 @ mactual )
                          & ( street @ sK15 @ mactual )
                          & ( event @ sK14 @ mactual )
                          & ( city @ sK13 @ mactual )
                          & ( hollywood @ sK13 @ mactual )
                          & ( front @ sK12 @ mactual )
                          & ( furniture @ sK12 @ mactual )
                          & ( seat @ sK12 @ mactual )
                          & ( front @ sK11 @ mactual )
                          & ( furniture @ sK11 @ mactual )
                          & ( seat @ sK11 @ mactual ) ) ) ) ) ) ) )
      = $true )
    | spl0_1 ),
    inference(beta-eta_normalization,[],[f943]) ).

thf(f947,plain,
    ( ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ mactual )
                        & ( in @ Y2 @ sK12 @ mactual )
                        & ( qmltpeq @ Y0 @ Y2 @ mactual )
                        & ( in @ Y1 @ sK11 @ mactual )
                        & ( qmltpeq @ sK17 @ Y1 @ mactual )
                        & ( young @ Y0 @ mactual )
                        & ( man @ Y0 @ mactual )
                        & ( fellow @ Y0 @ mactual )
                        & ( young @ sK17 @ mactual )
                        & ( man @ sK17 @ mactual )
                        & ( fellow @ sK17 @ mactual )
                        & ~ ( qmltpeq @ sK17 @ Y0 @ mactual )
                        & ( in @ sK14 @ sK13 @ mactual )
                        & ( down @ sK14 @ sK15 @ mactual )
                        & ( barrel @ sK14 @ sK16 @ mactual )
                        & ( old @ sK16 @ mactual )
                        & ( dirty @ sK16 @ mactual )
                        & ( white @ sK16 @ mactual )
                        & ( car @ sK16 @ mactual )
                        & ( chevy @ sK16 @ mactual )
                        & ( lonely @ sK15 @ mactual )
                        & ( way @ sK15 @ mactual )
                        & ( street @ sK15 @ mactual )
                        & ( event @ sK14 @ mactual )
                        & ( city @ sK13 @ mactual )
                        & ( hollywood @ sK13 @ mactual )
                        & ( front @ sK12 @ mactual )
                        & ( furniture @ sK12 @ mactual )
                        & ( seat @ sK12 @ mactual )
                        & ( front @ sK11 @ mactual )
                        & ( furniture @ sK11 @ mactual )
                        & ( seat @ sK11 @ mactual ) ) ) ) ) ) )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f946]) ).

thf(f948,plain,
    ( ( ( eiw_di @ sK17 @ mactual )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f946]) ).

thf(f951,plain,
    ( ( ( ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ mactual )
                        & ( in @ Y2 @ sK12 @ mactual )
                        & ( qmltpeq @ Y0 @ Y2 @ mactual )
                        & ( in @ Y1 @ sK11 @ mactual )
                        & ( qmltpeq @ sK17 @ Y1 @ mactual )
                        & ( young @ Y0 @ mactual )
                        & ( man @ Y0 @ mactual )
                        & ( fellow @ Y0 @ mactual )
                        & ( young @ sK17 @ mactual )
                        & ( man @ sK17 @ mactual )
                        & ( fellow @ sK17 @ mactual )
                        & ~ ( qmltpeq @ sK17 @ Y0 @ mactual )
                        & ( in @ sK14 @ sK13 @ mactual )
                        & ( down @ sK14 @ sK15 @ mactual )
                        & ( barrel @ sK14 @ sK16 @ mactual )
                        & ( old @ sK16 @ mactual )
                        & ( dirty @ sK16 @ mactual )
                        & ( white @ sK16 @ mactual )
                        & ( car @ sK16 @ mactual )
                        & ( chevy @ sK16 @ mactual )
                        & ( lonely @ sK15 @ mactual )
                        & ( way @ sK15 @ mactual )
                        & ( street @ sK15 @ mactual )
                        & ( event @ sK14 @ mactual )
                        & ( city @ sK13 @ mactual )
                        & ( hollywood @ sK13 @ mactual )
                        & ( front @ sK12 @ mactual )
                        & ( furniture @ sK12 @ mactual )
                        & ( seat @ sK12 @ mactual )
                        & ( front @ sK11 @ mactual )
                        & ( furniture @ sK11 @ mactual )
                        & ( seat @ sK11 @ mactual ) ) ) ) ) )
        @ sK18 )
      = $true )
    | spl0_1 ),
    inference(sigma_proxy_clausification,[],[f947]) ).

thf(f954,plain,
    ( ( ( ( eiw_di @ sK18 @ mactual )
        & ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( in @ Y1 @ sK12 @ mactual )
                    & ( qmltpeq @ sK18 @ Y1 @ mactual )
                    & ( in @ Y0 @ sK11 @ mactual )
                    & ( qmltpeq @ sK17 @ Y0 @ mactual )
                    & ( young @ sK18 @ mactual )
                    & ( man @ sK18 @ mactual )
                    & ( fellow @ sK18 @ mactual )
                    & ( young @ sK17 @ mactual )
                    & ( man @ sK17 @ mactual )
                    & ( fellow @ sK17 @ mactual )
                    & ~ ( qmltpeq @ sK17 @ sK18 @ mactual )
                    & ( in @ sK14 @ sK13 @ mactual )
                    & ( down @ sK14 @ sK15 @ mactual )
                    & ( barrel @ sK14 @ sK16 @ mactual )
                    & ( old @ sK16 @ mactual )
                    & ( dirty @ sK16 @ mactual )
                    & ( white @ sK16 @ mactual )
                    & ( car @ sK16 @ mactual )
                    & ( chevy @ sK16 @ mactual )
                    & ( lonely @ sK15 @ mactual )
                    & ( way @ sK15 @ mactual )
                    & ( street @ sK15 @ mactual )
                    & ( event @ sK14 @ mactual )
                    & ( city @ sK13 @ mactual )
                    & ( hollywood @ sK13 @ mactual )
                    & ( front @ sK12 @ mactual )
                    & ( furniture @ sK12 @ mactual )
                    & ( seat @ sK12 @ mactual )
                    & ( front @ sK11 @ mactual )
                    & ( furniture @ sK11 @ mactual )
                    & ( seat @ sK11 @ mactual ) ) ) ) ) )
      = $true )
    | spl0_1 ),
    inference(beta-eta_normalization,[],[f951]) ).

thf(f955,plain,
    ( ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( in @ Y1 @ sK12 @ mactual )
                  & ( qmltpeq @ sK18 @ Y1 @ mactual )
                  & ( in @ Y0 @ sK11 @ mactual )
                  & ( qmltpeq @ sK17 @ Y0 @ mactual )
                  & ( young @ sK18 @ mactual )
                  & ( man @ sK18 @ mactual )
                  & ( fellow @ sK18 @ mactual )
                  & ( young @ sK17 @ mactual )
                  & ( man @ sK17 @ mactual )
                  & ( fellow @ sK17 @ mactual )
                  & ~ ( qmltpeq @ sK17 @ sK18 @ mactual )
                  & ( in @ sK14 @ sK13 @ mactual )
                  & ( down @ sK14 @ sK15 @ mactual )
                  & ( barrel @ sK14 @ sK16 @ mactual )
                  & ( old @ sK16 @ mactual )
                  & ( dirty @ sK16 @ mactual )
                  & ( white @ sK16 @ mactual )
                  & ( car @ sK16 @ mactual )
                  & ( chevy @ sK16 @ mactual )
                  & ( lonely @ sK15 @ mactual )
                  & ( way @ sK15 @ mactual )
                  & ( street @ sK15 @ mactual )
                  & ( event @ sK14 @ mactual )
                  & ( city @ sK13 @ mactual )
                  & ( hollywood @ sK13 @ mactual )
                  & ( front @ sK12 @ mactual )
                  & ( furniture @ sK12 @ mactual )
                  & ( seat @ sK12 @ mactual )
                  & ( front @ sK11 @ mactual )
                  & ( furniture @ sK11 @ mactual )
                  & ( seat @ sK11 @ mactual ) ) ) ) )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f954]) ).

thf(f956,plain,
    ( ( $true
      = ( eiw_di @ sK18 @ mactual ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f954]) ).

thf(f959,plain,
    ( ( ( ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( in @ Y1 @ sK12 @ mactual )
                  & ( qmltpeq @ sK18 @ Y1 @ mactual )
                  & ( in @ Y0 @ sK11 @ mactual )
                  & ( qmltpeq @ sK17 @ Y0 @ mactual )
                  & ( young @ sK18 @ mactual )
                  & ( man @ sK18 @ mactual )
                  & ( fellow @ sK18 @ mactual )
                  & ( young @ sK17 @ mactual )
                  & ( man @ sK17 @ mactual )
                  & ( fellow @ sK17 @ mactual )
                  & ~ ( qmltpeq @ sK17 @ sK18 @ mactual )
                  & ( in @ sK14 @ sK13 @ mactual )
                  & ( down @ sK14 @ sK15 @ mactual )
                  & ( barrel @ sK14 @ sK16 @ mactual )
                  & ( old @ sK16 @ mactual )
                  & ( dirty @ sK16 @ mactual )
                  & ( white @ sK16 @ mactual )
                  & ( car @ sK16 @ mactual )
                  & ( chevy @ sK16 @ mactual )
                  & ( lonely @ sK15 @ mactual )
                  & ( way @ sK15 @ mactual )
                  & ( street @ sK15 @ mactual )
                  & ( event @ sK14 @ mactual )
                  & ( city @ sK13 @ mactual )
                  & ( hollywood @ sK13 @ mactual )
                  & ( front @ sK12 @ mactual )
                  & ( furniture @ sK12 @ mactual )
                  & ( seat @ sK12 @ mactual )
                  & ( front @ sK11 @ mactual )
                  & ( furniture @ sK11 @ mactual )
                  & ( seat @ sK11 @ mactual ) ) ) )
        @ sK19 )
      = $true )
    | spl0_1 ),
    inference(sigma_proxy_clausification,[],[f955]) ).

thf(f962,plain,
    ( ( $true
      = ( ( eiw_di @ sK19 @ mactual )
        & ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( in @ Y0 @ sK12 @ mactual )
              & ( qmltpeq @ sK18 @ Y0 @ mactual )
              & ( in @ sK19 @ sK11 @ mactual )
              & ( qmltpeq @ sK17 @ sK19 @ mactual )
              & ( young @ sK18 @ mactual )
              & ( man @ sK18 @ mactual )
              & ( fellow @ sK18 @ mactual )
              & ( young @ sK17 @ mactual )
              & ( man @ sK17 @ mactual )
              & ( fellow @ sK17 @ mactual )
              & ~ ( qmltpeq @ sK17 @ sK18 @ mactual )
              & ( in @ sK14 @ sK13 @ mactual )
              & ( down @ sK14 @ sK15 @ mactual )
              & ( barrel @ sK14 @ sK16 @ mactual )
              & ( old @ sK16 @ mactual )
              & ( dirty @ sK16 @ mactual )
              & ( white @ sK16 @ mactual )
              & ( car @ sK16 @ mactual )
              & ( chevy @ sK16 @ mactual )
              & ( lonely @ sK15 @ mactual )
              & ( way @ sK15 @ mactual )
              & ( street @ sK15 @ mactual )
              & ( event @ sK14 @ mactual )
              & ( city @ sK13 @ mactual )
              & ( hollywood @ sK13 @ mactual )
              & ( front @ sK12 @ mactual )
              & ( furniture @ sK12 @ mactual )
              & ( seat @ sK12 @ mactual )
              & ( front @ sK11 @ mactual )
              & ( furniture @ sK11 @ mactual )
              & ( seat @ sK11 @ mactual ) ) ) ) )
    | spl0_1 ),
    inference(beta-eta_normalization,[],[f959]) ).

thf(f963,plain,
    ( ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( in @ Y0 @ sK12 @ mactual )
            & ( qmltpeq @ sK18 @ Y0 @ mactual )
            & ( in @ sK19 @ sK11 @ mactual )
            & ( qmltpeq @ sK17 @ sK19 @ mactual )
            & ( young @ sK18 @ mactual )
            & ( man @ sK18 @ mactual )
            & ( fellow @ sK18 @ mactual )
            & ( young @ sK17 @ mactual )
            & ( man @ sK17 @ mactual )
            & ( fellow @ sK17 @ mactual )
            & ~ ( qmltpeq @ sK17 @ sK18 @ mactual )
            & ( in @ sK14 @ sK13 @ mactual )
            & ( down @ sK14 @ sK15 @ mactual )
            & ( barrel @ sK14 @ sK16 @ mactual )
            & ( old @ sK16 @ mactual )
            & ( dirty @ sK16 @ mactual )
            & ( white @ sK16 @ mactual )
            & ( car @ sK16 @ mactual )
            & ( chevy @ sK16 @ mactual )
            & ( lonely @ sK15 @ mactual )
            & ( way @ sK15 @ mactual )
            & ( street @ sK15 @ mactual )
            & ( event @ sK14 @ mactual )
            & ( city @ sK13 @ mactual )
            & ( hollywood @ sK13 @ mactual )
            & ( front @ sK12 @ mactual )
            & ( furniture @ sK12 @ mactual )
            & ( seat @ sK12 @ mactual )
            & ( front @ sK11 @ mactual )
            & ( furniture @ sK11 @ mactual )
            & ( seat @ sK11 @ mactual ) ) )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f962]) ).

thf(f964,plain,
    ( ( ( eiw_di @ sK19 @ mactual )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f962]) ).

thf(f967,plain,
    ( ( ( ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( in @ Y0 @ sK12 @ mactual )
            & ( qmltpeq @ sK18 @ Y0 @ mactual )
            & ( in @ sK19 @ sK11 @ mactual )
            & ( qmltpeq @ sK17 @ sK19 @ mactual )
            & ( young @ sK18 @ mactual )
            & ( man @ sK18 @ mactual )
            & ( fellow @ sK18 @ mactual )
            & ( young @ sK17 @ mactual )
            & ( man @ sK17 @ mactual )
            & ( fellow @ sK17 @ mactual )
            & ~ ( qmltpeq @ sK17 @ sK18 @ mactual )
            & ( in @ sK14 @ sK13 @ mactual )
            & ( down @ sK14 @ sK15 @ mactual )
            & ( barrel @ sK14 @ sK16 @ mactual )
            & ( old @ sK16 @ mactual )
            & ( dirty @ sK16 @ mactual )
            & ( white @ sK16 @ mactual )
            & ( car @ sK16 @ mactual )
            & ( chevy @ sK16 @ mactual )
            & ( lonely @ sK15 @ mactual )
            & ( way @ sK15 @ mactual )
            & ( street @ sK15 @ mactual )
            & ( event @ sK14 @ mactual )
            & ( city @ sK13 @ mactual )
            & ( hollywood @ sK13 @ mactual )
            & ( front @ sK12 @ mactual )
            & ( furniture @ sK12 @ mactual )
            & ( seat @ sK12 @ mactual )
            & ( front @ sK11 @ mactual )
            & ( furniture @ sK11 @ mactual )
            & ( seat @ sK11 @ mactual ) )
        @ sK20 )
      = $true )
    | spl0_1 ),
    inference(sigma_proxy_clausification,[],[f963]) ).

thf(f970,plain,
    ( ( $true
      = ( ( eiw_di @ sK20 @ mactual )
        & ( in @ sK20 @ sK12 @ mactual )
        & ( qmltpeq @ sK18 @ sK20 @ mactual )
        & ( in @ sK19 @ sK11 @ mactual )
        & ( qmltpeq @ sK17 @ sK19 @ mactual )
        & ( young @ sK18 @ mactual )
        & ( man @ sK18 @ mactual )
        & ( fellow @ sK18 @ mactual )
        & ( young @ sK17 @ mactual )
        & ( man @ sK17 @ mactual )
        & ( fellow @ sK17 @ mactual )
        & ~ ( qmltpeq @ sK17 @ sK18 @ mactual )
        & ( in @ sK14 @ sK13 @ mactual )
        & ( down @ sK14 @ sK15 @ mactual )
        & ( barrel @ sK14 @ sK16 @ mactual )
        & ( old @ sK16 @ mactual )
        & ( dirty @ sK16 @ mactual )
        & ( white @ sK16 @ mactual )
        & ( car @ sK16 @ mactual )
        & ( chevy @ sK16 @ mactual )
        & ( lonely @ sK15 @ mactual )
        & ( way @ sK15 @ mactual )
        & ( street @ sK15 @ mactual )
        & ( event @ sK14 @ mactual )
        & ( city @ sK13 @ mactual )
        & ( hollywood @ sK13 @ mactual )
        & ( front @ sK12 @ mactual )
        & ( furniture @ sK12 @ mactual )
        & ( seat @ sK12 @ mactual )
        & ( front @ sK11 @ mactual )
        & ( furniture @ sK11 @ mactual )
        & ( seat @ sK11 @ mactual ) ) )
    | spl0_1 ),
    inference(beta-eta_normalization,[],[f967]) ).

thf(f971,plain,
    ( ( ( ( in @ sK20 @ sK12 @ mactual )
        & ( qmltpeq @ sK18 @ sK20 @ mactual )
        & ( in @ sK19 @ sK11 @ mactual )
        & ( qmltpeq @ sK17 @ sK19 @ mactual )
        & ( young @ sK18 @ mactual )
        & ( man @ sK18 @ mactual )
        & ( fellow @ sK18 @ mactual )
        & ( young @ sK17 @ mactual )
        & ( man @ sK17 @ mactual )
        & ( fellow @ sK17 @ mactual )
        & ~ ( qmltpeq @ sK17 @ sK18 @ mactual )
        & ( in @ sK14 @ sK13 @ mactual )
        & ( down @ sK14 @ sK15 @ mactual )
        & ( barrel @ sK14 @ sK16 @ mactual )
        & ( old @ sK16 @ mactual )
        & ( dirty @ sK16 @ mactual )
        & ( white @ sK16 @ mactual )
        & ( car @ sK16 @ mactual )
        & ( chevy @ sK16 @ mactual )
        & ( lonely @ sK15 @ mactual )
        & ( way @ sK15 @ mactual )
        & ( street @ sK15 @ mactual )
        & ( event @ sK14 @ mactual )
        & ( city @ sK13 @ mactual )
        & ( hollywood @ sK13 @ mactual )
        & ( front @ sK12 @ mactual )
        & ( furniture @ sK12 @ mactual )
        & ( seat @ sK12 @ mactual )
        & ( front @ sK11 @ mactual )
        & ( furniture @ sK11 @ mactual )
        & ( seat @ sK11 @ mactual ) )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f970]) ).

thf(f972,plain,
    ( ( $true
      = ( eiw_di @ sK20 @ mactual ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f970]) ).

thf(f973,plain,
    ( ( $true
      = ( seat @ sK11 @ mactual ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f971]) ).

thf(f974,plain,
    ( ( ( ( in @ sK20 @ sK12 @ mactual )
        & ( qmltpeq @ sK18 @ sK20 @ mactual )
        & ( in @ sK19 @ sK11 @ mactual )
        & ( qmltpeq @ sK17 @ sK19 @ mactual )
        & ( young @ sK18 @ mactual )
        & ( man @ sK18 @ mactual )
        & ( fellow @ sK18 @ mactual )
        & ( young @ sK17 @ mactual )
        & ( man @ sK17 @ mactual )
        & ( fellow @ sK17 @ mactual )
        & ~ ( qmltpeq @ sK17 @ sK18 @ mactual )
        & ( in @ sK14 @ sK13 @ mactual )
        & ( down @ sK14 @ sK15 @ mactual )
        & ( barrel @ sK14 @ sK16 @ mactual )
        & ( old @ sK16 @ mactual )
        & ( dirty @ sK16 @ mactual )
        & ( white @ sK16 @ mactual )
        & ( car @ sK16 @ mactual )
        & ( chevy @ sK16 @ mactual )
        & ( lonely @ sK15 @ mactual )
        & ( way @ sK15 @ mactual )
        & ( street @ sK15 @ mactual )
        & ( event @ sK14 @ mactual )
        & ( city @ sK13 @ mactual )
        & ( hollywood @ sK13 @ mactual )
        & ( front @ sK12 @ mactual )
        & ( furniture @ sK12 @ mactual )
        & ( seat @ sK12 @ mactual )
        & ( front @ sK11 @ mactual )
        & ( furniture @ sK11 @ mactual ) )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f971]) ).

thf(f975,plain,
    ( ( ( furniture @ sK11 @ mactual )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f974]) ).

thf(f976,plain,
    ( ( $true
      = ( ( in @ sK20 @ sK12 @ mactual )
        & ( qmltpeq @ sK18 @ sK20 @ mactual )
        & ( in @ sK19 @ sK11 @ mactual )
        & ( qmltpeq @ sK17 @ sK19 @ mactual )
        & ( young @ sK18 @ mactual )
        & ( man @ sK18 @ mactual )
        & ( fellow @ sK18 @ mactual )
        & ( young @ sK17 @ mactual )
        & ( man @ sK17 @ mactual )
        & ( fellow @ sK17 @ mactual )
        & ~ ( qmltpeq @ sK17 @ sK18 @ mactual )
        & ( in @ sK14 @ sK13 @ mactual )
        & ( down @ sK14 @ sK15 @ mactual )
        & ( barrel @ sK14 @ sK16 @ mactual )
        & ( old @ sK16 @ mactual )
        & ( dirty @ sK16 @ mactual )
        & ( white @ sK16 @ mactual )
        & ( car @ sK16 @ mactual )
        & ( chevy @ sK16 @ mactual )
        & ( lonely @ sK15 @ mactual )
        & ( way @ sK15 @ mactual )
        & ( street @ sK15 @ mactual )
        & ( event @ sK14 @ mactual )
        & ( city @ sK13 @ mactual )
        & ( hollywood @ sK13 @ mactual )
        & ( front @ sK12 @ mactual )
        & ( furniture @ sK12 @ mactual )
        & ( seat @ sK12 @ mactual )
        & ( front @ sK11 @ mactual ) ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f974]) ).

thf(f977,plain,
    ( ( ( front @ sK11 @ mactual )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f976]) ).

thf(f978,plain,
    ( ( $true
      = ( ( in @ sK20 @ sK12 @ mactual )
        & ( qmltpeq @ sK18 @ sK20 @ mactual )
        & ( in @ sK19 @ sK11 @ mactual )
        & ( qmltpeq @ sK17 @ sK19 @ mactual )
        & ( young @ sK18 @ mactual )
        & ( man @ sK18 @ mactual )
        & ( fellow @ sK18 @ mactual )
        & ( young @ sK17 @ mactual )
        & ( man @ sK17 @ mactual )
        & ( fellow @ sK17 @ mactual )
        & ~ ( qmltpeq @ sK17 @ sK18 @ mactual )
        & ( in @ sK14 @ sK13 @ mactual )
        & ( down @ sK14 @ sK15 @ mactual )
        & ( barrel @ sK14 @ sK16 @ mactual )
        & ( old @ sK16 @ mactual )
        & ( dirty @ sK16 @ mactual )
        & ( white @ sK16 @ mactual )
        & ( car @ sK16 @ mactual )
        & ( chevy @ sK16 @ mactual )
        & ( lonely @ sK15 @ mactual )
        & ( way @ sK15 @ mactual )
        & ( street @ sK15 @ mactual )
        & ( event @ sK14 @ mactual )
        & ( city @ sK13 @ mactual )
        & ( hollywood @ sK13 @ mactual )
        & ( front @ sK12 @ mactual )
        & ( furniture @ sK12 @ mactual )
        & ( seat @ sK12 @ mactual ) ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f976]) ).

thf(f979,plain,
    ( ( ( seat @ sK12 @ mactual )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f978]) ).

thf(f980,plain,
    ( ( $true
      = ( ( in @ sK20 @ sK12 @ mactual )
        & ( qmltpeq @ sK18 @ sK20 @ mactual )
        & ( in @ sK19 @ sK11 @ mactual )
        & ( qmltpeq @ sK17 @ sK19 @ mactual )
        & ( young @ sK18 @ mactual )
        & ( man @ sK18 @ mactual )
        & ( fellow @ sK18 @ mactual )
        & ( young @ sK17 @ mactual )
        & ( man @ sK17 @ mactual )
        & ( fellow @ sK17 @ mactual )
        & ~ ( qmltpeq @ sK17 @ sK18 @ mactual )
        & ( in @ sK14 @ sK13 @ mactual )
        & ( down @ sK14 @ sK15 @ mactual )
        & ( barrel @ sK14 @ sK16 @ mactual )
        & ( old @ sK16 @ mactual )
        & ( dirty @ sK16 @ mactual )
        & ( white @ sK16 @ mactual )
        & ( car @ sK16 @ mactual )
        & ( chevy @ sK16 @ mactual )
        & ( lonely @ sK15 @ mactual )
        & ( way @ sK15 @ mactual )
        & ( street @ sK15 @ mactual )
        & ( event @ sK14 @ mactual )
        & ( city @ sK13 @ mactual )
        & ( hollywood @ sK13 @ mactual )
        & ( front @ sK12 @ mactual )
        & ( furniture @ sK12 @ mactual ) ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f978]) ).

thf(f981,plain,
    ( ( ( furniture @ sK12 @ mactual )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f980]) ).

thf(f982,plain,
    ( ( $true
      = ( ( in @ sK20 @ sK12 @ mactual )
        & ( qmltpeq @ sK18 @ sK20 @ mactual )
        & ( in @ sK19 @ sK11 @ mactual )
        & ( qmltpeq @ sK17 @ sK19 @ mactual )
        & ( young @ sK18 @ mactual )
        & ( man @ sK18 @ mactual )
        & ( fellow @ sK18 @ mactual )
        & ( young @ sK17 @ mactual )
        & ( man @ sK17 @ mactual )
        & ( fellow @ sK17 @ mactual )
        & ~ ( qmltpeq @ sK17 @ sK18 @ mactual )
        & ( in @ sK14 @ sK13 @ mactual )
        & ( down @ sK14 @ sK15 @ mactual )
        & ( barrel @ sK14 @ sK16 @ mactual )
        & ( old @ sK16 @ mactual )
        & ( dirty @ sK16 @ mactual )
        & ( white @ sK16 @ mactual )
        & ( car @ sK16 @ mactual )
        & ( chevy @ sK16 @ mactual )
        & ( lonely @ sK15 @ mactual )
        & ( way @ sK15 @ mactual )
        & ( street @ sK15 @ mactual )
        & ( event @ sK14 @ mactual )
        & ( city @ sK13 @ mactual )
        & ( hollywood @ sK13 @ mactual )
        & ( front @ sK12 @ mactual ) ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f980]) ).

thf(f983,plain,
    ( ( $true
      = ( front @ sK12 @ mactual ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f982]) ).

thf(f984,plain,
    ( ( $true
      = ( ( in @ sK20 @ sK12 @ mactual )
        & ( qmltpeq @ sK18 @ sK20 @ mactual )
        & ( in @ sK19 @ sK11 @ mactual )
        & ( qmltpeq @ sK17 @ sK19 @ mactual )
        & ( young @ sK18 @ mactual )
        & ( man @ sK18 @ mactual )
        & ( fellow @ sK18 @ mactual )
        & ( young @ sK17 @ mactual )
        & ( man @ sK17 @ mactual )
        & ( fellow @ sK17 @ mactual )
        & ~ ( qmltpeq @ sK17 @ sK18 @ mactual )
        & ( in @ sK14 @ sK13 @ mactual )
        & ( down @ sK14 @ sK15 @ mactual )
        & ( barrel @ sK14 @ sK16 @ mactual )
        & ( old @ sK16 @ mactual )
        & ( dirty @ sK16 @ mactual )
        & ( white @ sK16 @ mactual )
        & ( car @ sK16 @ mactual )
        & ( chevy @ sK16 @ mactual )
        & ( lonely @ sK15 @ mactual )
        & ( way @ sK15 @ mactual )
        & ( street @ sK15 @ mactual )
        & ( event @ sK14 @ mactual )
        & ( city @ sK13 @ mactual )
        & ( hollywood @ sK13 @ mactual ) ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f982]) ).

thf(f985,plain,
    ( ( ( hollywood @ sK13 @ mactual )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f984]) ).

thf(f986,plain,
    ( ( ( ( in @ sK20 @ sK12 @ mactual )
        & ( qmltpeq @ sK18 @ sK20 @ mactual )
        & ( in @ sK19 @ sK11 @ mactual )
        & ( qmltpeq @ sK17 @ sK19 @ mactual )
        & ( young @ sK18 @ mactual )
        & ( man @ sK18 @ mactual )
        & ( fellow @ sK18 @ mactual )
        & ( young @ sK17 @ mactual )
        & ( man @ sK17 @ mactual )
        & ( fellow @ sK17 @ mactual )
        & ~ ( qmltpeq @ sK17 @ sK18 @ mactual )
        & ( in @ sK14 @ sK13 @ mactual )
        & ( down @ sK14 @ sK15 @ mactual )
        & ( barrel @ sK14 @ sK16 @ mactual )
        & ( old @ sK16 @ mactual )
        & ( dirty @ sK16 @ mactual )
        & ( white @ sK16 @ mactual )
        & ( car @ sK16 @ mactual )
        & ( chevy @ sK16 @ mactual )
        & ( lonely @ sK15 @ mactual )
        & ( way @ sK15 @ mactual )
        & ( street @ sK15 @ mactual )
        & ( event @ sK14 @ mactual )
        & ( city @ sK13 @ mactual ) )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f984]) ).

thf(f987,plain,
    ( ( $true
      = ( city @ sK13 @ mactual ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f986]) ).

thf(f988,plain,
    ( ( ( ( in @ sK20 @ sK12 @ mactual )
        & ( qmltpeq @ sK18 @ sK20 @ mactual )
        & ( in @ sK19 @ sK11 @ mactual )
        & ( qmltpeq @ sK17 @ sK19 @ mactual )
        & ( young @ sK18 @ mactual )
        & ( man @ sK18 @ mactual )
        & ( fellow @ sK18 @ mactual )
        & ( young @ sK17 @ mactual )
        & ( man @ sK17 @ mactual )
        & ( fellow @ sK17 @ mactual )
        & ~ ( qmltpeq @ sK17 @ sK18 @ mactual )
        & ( in @ sK14 @ sK13 @ mactual )
        & ( down @ sK14 @ sK15 @ mactual )
        & ( barrel @ sK14 @ sK16 @ mactual )
        & ( old @ sK16 @ mactual )
        & ( dirty @ sK16 @ mactual )
        & ( white @ sK16 @ mactual )
        & ( car @ sK16 @ mactual )
        & ( chevy @ sK16 @ mactual )
        & ( lonely @ sK15 @ mactual )
        & ( way @ sK15 @ mactual )
        & ( street @ sK15 @ mactual )
        & ( event @ sK14 @ mactual ) )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f986]) ).

thf(f989,plain,
    ( ( ( event @ sK14 @ mactual )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f988]) ).

thf(f990,plain,
    ( ( ( ( in @ sK20 @ sK12 @ mactual )
        & ( qmltpeq @ sK18 @ sK20 @ mactual )
        & ( in @ sK19 @ sK11 @ mactual )
        & ( qmltpeq @ sK17 @ sK19 @ mactual )
        & ( young @ sK18 @ mactual )
        & ( man @ sK18 @ mactual )
        & ( fellow @ sK18 @ mactual )
        & ( young @ sK17 @ mactual )
        & ( man @ sK17 @ mactual )
        & ( fellow @ sK17 @ mactual )
        & ~ ( qmltpeq @ sK17 @ sK18 @ mactual )
        & ( in @ sK14 @ sK13 @ mactual )
        & ( down @ sK14 @ sK15 @ mactual )
        & ( barrel @ sK14 @ sK16 @ mactual )
        & ( old @ sK16 @ mactual )
        & ( dirty @ sK16 @ mactual )
        & ( white @ sK16 @ mactual )
        & ( car @ sK16 @ mactual )
        & ( chevy @ sK16 @ mactual )
        & ( lonely @ sK15 @ mactual )
        & ( way @ sK15 @ mactual )
        & ( street @ sK15 @ mactual ) )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f988]) ).

thf(f991,plain,
    ( ( $true
      = ( street @ sK15 @ mactual ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f990]) ).

thf(f992,plain,
    ( ( ( ( in @ sK20 @ sK12 @ mactual )
        & ( qmltpeq @ sK18 @ sK20 @ mactual )
        & ( in @ sK19 @ sK11 @ mactual )
        & ( qmltpeq @ sK17 @ sK19 @ mactual )
        & ( young @ sK18 @ mactual )
        & ( man @ sK18 @ mactual )
        & ( fellow @ sK18 @ mactual )
        & ( young @ sK17 @ mactual )
        & ( man @ sK17 @ mactual )
        & ( fellow @ sK17 @ mactual )
        & ~ ( qmltpeq @ sK17 @ sK18 @ mactual )
        & ( in @ sK14 @ sK13 @ mactual )
        & ( down @ sK14 @ sK15 @ mactual )
        & ( barrel @ sK14 @ sK16 @ mactual )
        & ( old @ sK16 @ mactual )
        & ( dirty @ sK16 @ mactual )
        & ( white @ sK16 @ mactual )
        & ( car @ sK16 @ mactual )
        & ( chevy @ sK16 @ mactual )
        & ( lonely @ sK15 @ mactual )
        & ( way @ sK15 @ mactual ) )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f990]) ).

thf(f993,plain,
    ( ( $true
      = ( way @ sK15 @ mactual ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f992]) ).

thf(f994,plain,
    ( ( ( ( in @ sK20 @ sK12 @ mactual )
        & ( qmltpeq @ sK18 @ sK20 @ mactual )
        & ( in @ sK19 @ sK11 @ mactual )
        & ( qmltpeq @ sK17 @ sK19 @ mactual )
        & ( young @ sK18 @ mactual )
        & ( man @ sK18 @ mactual )
        & ( fellow @ sK18 @ mactual )
        & ( young @ sK17 @ mactual )
        & ( man @ sK17 @ mactual )
        & ( fellow @ sK17 @ mactual )
        & ~ ( qmltpeq @ sK17 @ sK18 @ mactual )
        & ( in @ sK14 @ sK13 @ mactual )
        & ( down @ sK14 @ sK15 @ mactual )
        & ( barrel @ sK14 @ sK16 @ mactual )
        & ( old @ sK16 @ mactual )
        & ( dirty @ sK16 @ mactual )
        & ( white @ sK16 @ mactual )
        & ( car @ sK16 @ mactual )
        & ( chevy @ sK16 @ mactual )
        & ( lonely @ sK15 @ mactual ) )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f992]) ).

thf(f995,plain,
    ( ( $true
      = ( lonely @ sK15 @ mactual ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f994]) ).

thf(f996,plain,
    ( ( $true
      = ( ( in @ sK20 @ sK12 @ mactual )
        & ( qmltpeq @ sK18 @ sK20 @ mactual )
        & ( in @ sK19 @ sK11 @ mactual )
        & ( qmltpeq @ sK17 @ sK19 @ mactual )
        & ( young @ sK18 @ mactual )
        & ( man @ sK18 @ mactual )
        & ( fellow @ sK18 @ mactual )
        & ( young @ sK17 @ mactual )
        & ( man @ sK17 @ mactual )
        & ( fellow @ sK17 @ mactual )
        & ~ ( qmltpeq @ sK17 @ sK18 @ mactual )
        & ( in @ sK14 @ sK13 @ mactual )
        & ( down @ sK14 @ sK15 @ mactual )
        & ( barrel @ sK14 @ sK16 @ mactual )
        & ( old @ sK16 @ mactual )
        & ( dirty @ sK16 @ mactual )
        & ( white @ sK16 @ mactual )
        & ( car @ sK16 @ mactual )
        & ( chevy @ sK16 @ mactual ) ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f994]) ).

thf(f997,plain,
    ( ( ( chevy @ sK16 @ mactual )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f996]) ).

thf(f998,plain,
    ( ( ( ( in @ sK20 @ sK12 @ mactual )
        & ( qmltpeq @ sK18 @ sK20 @ mactual )
        & ( in @ sK19 @ sK11 @ mactual )
        & ( qmltpeq @ sK17 @ sK19 @ mactual )
        & ( young @ sK18 @ mactual )
        & ( man @ sK18 @ mactual )
        & ( fellow @ sK18 @ mactual )
        & ( young @ sK17 @ mactual )
        & ( man @ sK17 @ mactual )
        & ( fellow @ sK17 @ mactual )
        & ~ ( qmltpeq @ sK17 @ sK18 @ mactual )
        & ( in @ sK14 @ sK13 @ mactual )
        & ( down @ sK14 @ sK15 @ mactual )
        & ( barrel @ sK14 @ sK16 @ mactual )
        & ( old @ sK16 @ mactual )
        & ( dirty @ sK16 @ mactual )
        & ( white @ sK16 @ mactual )
        & ( car @ sK16 @ mactual ) )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f996]) ).

thf(f999,plain,
    ( ( $true
      = ( car @ sK16 @ mactual ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f998]) ).

thf(f1000,plain,
    ( ( $true
      = ( ( in @ sK20 @ sK12 @ mactual )
        & ( qmltpeq @ sK18 @ sK20 @ mactual )
        & ( in @ sK19 @ sK11 @ mactual )
        & ( qmltpeq @ sK17 @ sK19 @ mactual )
        & ( young @ sK18 @ mactual )
        & ( man @ sK18 @ mactual )
        & ( fellow @ sK18 @ mactual )
        & ( young @ sK17 @ mactual )
        & ( man @ sK17 @ mactual )
        & ( fellow @ sK17 @ mactual )
        & ~ ( qmltpeq @ sK17 @ sK18 @ mactual )
        & ( in @ sK14 @ sK13 @ mactual )
        & ( down @ sK14 @ sK15 @ mactual )
        & ( barrel @ sK14 @ sK16 @ mactual )
        & ( old @ sK16 @ mactual )
        & ( dirty @ sK16 @ mactual )
        & ( white @ sK16 @ mactual ) ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f998]) ).

thf(f1001,plain,
    ( ( $true
      = ( white @ sK16 @ mactual ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1000]) ).

thf(f1002,plain,
    ( ( ( ( in @ sK20 @ sK12 @ mactual )
        & ( qmltpeq @ sK18 @ sK20 @ mactual )
        & ( in @ sK19 @ sK11 @ mactual )
        & ( qmltpeq @ sK17 @ sK19 @ mactual )
        & ( young @ sK18 @ mactual )
        & ( man @ sK18 @ mactual )
        & ( fellow @ sK18 @ mactual )
        & ( young @ sK17 @ mactual )
        & ( man @ sK17 @ mactual )
        & ( fellow @ sK17 @ mactual )
        & ~ ( qmltpeq @ sK17 @ sK18 @ mactual )
        & ( in @ sK14 @ sK13 @ mactual )
        & ( down @ sK14 @ sK15 @ mactual )
        & ( barrel @ sK14 @ sK16 @ mactual )
        & ( old @ sK16 @ mactual )
        & ( dirty @ sK16 @ mactual ) )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1000]) ).

thf(f1003,plain,
    ( ( ( dirty @ sK16 @ mactual )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1002]) ).

thf(f1004,plain,
    ( ( $true
      = ( ( in @ sK20 @ sK12 @ mactual )
        & ( qmltpeq @ sK18 @ sK20 @ mactual )
        & ( in @ sK19 @ sK11 @ mactual )
        & ( qmltpeq @ sK17 @ sK19 @ mactual )
        & ( young @ sK18 @ mactual )
        & ( man @ sK18 @ mactual )
        & ( fellow @ sK18 @ mactual )
        & ( young @ sK17 @ mactual )
        & ( man @ sK17 @ mactual )
        & ( fellow @ sK17 @ mactual )
        & ~ ( qmltpeq @ sK17 @ sK18 @ mactual )
        & ( in @ sK14 @ sK13 @ mactual )
        & ( down @ sK14 @ sK15 @ mactual )
        & ( barrel @ sK14 @ sK16 @ mactual )
        & ( old @ sK16 @ mactual ) ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1002]) ).

thf(f1005,plain,
    ( ( ( old @ sK16 @ mactual )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1004]) ).

thf(f1006,plain,
    ( ( ( ( in @ sK20 @ sK12 @ mactual )
        & ( qmltpeq @ sK18 @ sK20 @ mactual )
        & ( in @ sK19 @ sK11 @ mactual )
        & ( qmltpeq @ sK17 @ sK19 @ mactual )
        & ( young @ sK18 @ mactual )
        & ( man @ sK18 @ mactual )
        & ( fellow @ sK18 @ mactual )
        & ( young @ sK17 @ mactual )
        & ( man @ sK17 @ mactual )
        & ( fellow @ sK17 @ mactual )
        & ~ ( qmltpeq @ sK17 @ sK18 @ mactual )
        & ( in @ sK14 @ sK13 @ mactual )
        & ( down @ sK14 @ sK15 @ mactual )
        & ( barrel @ sK14 @ sK16 @ mactual ) )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1004]) ).

thf(f1007,plain,
    ( ( $true
      = ( barrel @ sK14 @ sK16 @ mactual ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1006]) ).

thf(f1008,plain,
    ( ( ( ( in @ sK20 @ sK12 @ mactual )
        & ( qmltpeq @ sK18 @ sK20 @ mactual )
        & ( in @ sK19 @ sK11 @ mactual )
        & ( qmltpeq @ sK17 @ sK19 @ mactual )
        & ( young @ sK18 @ mactual )
        & ( man @ sK18 @ mactual )
        & ( fellow @ sK18 @ mactual )
        & ( young @ sK17 @ mactual )
        & ( man @ sK17 @ mactual )
        & ( fellow @ sK17 @ mactual )
        & ~ ( qmltpeq @ sK17 @ sK18 @ mactual )
        & ( in @ sK14 @ sK13 @ mactual )
        & ( down @ sK14 @ sK15 @ mactual ) )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1006]) ).

thf(f1009,plain,
    ( ( ( down @ sK14 @ sK15 @ mactual )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1008]) ).

thf(f1010,plain,
    ( ( ( ( in @ sK20 @ sK12 @ mactual )
        & ( qmltpeq @ sK18 @ sK20 @ mactual )
        & ( in @ sK19 @ sK11 @ mactual )
        & ( qmltpeq @ sK17 @ sK19 @ mactual )
        & ( young @ sK18 @ mactual )
        & ( man @ sK18 @ mactual )
        & ( fellow @ sK18 @ mactual )
        & ( young @ sK17 @ mactual )
        & ( man @ sK17 @ mactual )
        & ( fellow @ sK17 @ mactual )
        & ~ ( qmltpeq @ sK17 @ sK18 @ mactual )
        & ( in @ sK14 @ sK13 @ mactual ) )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1008]) ).

thf(f1011,plain,
    ( ( $true
      = ( in @ sK14 @ sK13 @ mactual ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1010]) ).

thf(f1012,plain,
    ( ( $true
      = ( ( in @ sK20 @ sK12 @ mactual )
        & ( qmltpeq @ sK18 @ sK20 @ mactual )
        & ( in @ sK19 @ sK11 @ mactual )
        & ( qmltpeq @ sK17 @ sK19 @ mactual )
        & ( young @ sK18 @ mactual )
        & ( man @ sK18 @ mactual )
        & ( fellow @ sK18 @ mactual )
        & ( young @ sK17 @ mactual )
        & ( man @ sK17 @ mactual )
        & ( fellow @ sK17 @ mactual )
        & ~ ( qmltpeq @ sK17 @ sK18 @ mactual ) ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1010]) ).

thf(f1013,plain,
    ( ( ( ~ ( qmltpeq @ sK17 @ sK18 @ mactual ) )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1012]) ).

thf(f1014,plain,
    ( ( $true
      = ( ( in @ sK20 @ sK12 @ mactual )
        & ( qmltpeq @ sK18 @ sK20 @ mactual )
        & ( in @ sK19 @ sK11 @ mactual )
        & ( qmltpeq @ sK17 @ sK19 @ mactual )
        & ( young @ sK18 @ mactual )
        & ( man @ sK18 @ mactual )
        & ( fellow @ sK18 @ mactual )
        & ( young @ sK17 @ mactual )
        & ( man @ sK17 @ mactual )
        & ( fellow @ sK17 @ mactual ) ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1012]) ).

thf(f1015,plain,
    ( ( ( fellow @ sK17 @ mactual )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1014]) ).

thf(f1016,plain,
    ( ( ( ( in @ sK20 @ sK12 @ mactual )
        & ( qmltpeq @ sK18 @ sK20 @ mactual )
        & ( in @ sK19 @ sK11 @ mactual )
        & ( qmltpeq @ sK17 @ sK19 @ mactual )
        & ( young @ sK18 @ mactual )
        & ( man @ sK18 @ mactual )
        & ( fellow @ sK18 @ mactual )
        & ( young @ sK17 @ mactual )
        & ( man @ sK17 @ mactual ) )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1014]) ).

thf(f1017,plain,
    ( ( ( qmltpeq @ sK17 @ sK18 @ mactual )
      = $false )
    | spl0_1 ),
    inference(not_proxy_clausification,[],[f1013]) ).

thf(f1018,plain,
    ( ( $true
      = ( man @ sK17 @ mactual ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1016]) ).

thf(f1019,plain,
    ( ( ( ( in @ sK20 @ sK12 @ mactual )
        & ( qmltpeq @ sK18 @ sK20 @ mactual )
        & ( in @ sK19 @ sK11 @ mactual )
        & ( qmltpeq @ sK17 @ sK19 @ mactual )
        & ( young @ sK18 @ mactual )
        & ( man @ sK18 @ mactual )
        & ( fellow @ sK18 @ mactual )
        & ( young @ sK17 @ mactual ) )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1016]) ).

thf(f1020,plain,
    ( ( $true
      = ( young @ sK17 @ mactual ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1019]) ).

thf(f1021,plain,
    ( ( $true
      = ( ( in @ sK20 @ sK12 @ mactual )
        & ( qmltpeq @ sK18 @ sK20 @ mactual )
        & ( in @ sK19 @ sK11 @ mactual )
        & ( qmltpeq @ sK17 @ sK19 @ mactual )
        & ( young @ sK18 @ mactual )
        & ( man @ sK18 @ mactual )
        & ( fellow @ sK18 @ mactual ) ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1019]) ).

thf(f1022,plain,
    ( ( ( fellow @ sK18 @ mactual )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1021]) ).

thf(f1023,plain,
    ( ( $true
      = ( ( in @ sK20 @ sK12 @ mactual )
        & ( qmltpeq @ sK18 @ sK20 @ mactual )
        & ( in @ sK19 @ sK11 @ mactual )
        & ( qmltpeq @ sK17 @ sK19 @ mactual )
        & ( young @ sK18 @ mactual )
        & ( man @ sK18 @ mactual ) ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1021]) ).

thf(f1024,plain,
    ( ( ( man @ sK18 @ mactual )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1023]) ).

thf(f1025,plain,
    ( ( ( ( in @ sK20 @ sK12 @ mactual )
        & ( qmltpeq @ sK18 @ sK20 @ mactual )
        & ( in @ sK19 @ sK11 @ mactual )
        & ( qmltpeq @ sK17 @ sK19 @ mactual )
        & ( young @ sK18 @ mactual ) )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1023]) ).

thf(f1026,plain,
    ( ( $true
      = ( young @ sK18 @ mactual ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1025]) ).

thf(f1027,plain,
    ( ( $true
      = ( ( in @ sK20 @ sK12 @ mactual )
        & ( qmltpeq @ sK18 @ sK20 @ mactual )
        & ( in @ sK19 @ sK11 @ mactual )
        & ( qmltpeq @ sK17 @ sK19 @ mactual ) ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1025]) ).

thf(f1028,plain,
    ( ( $true
      = ( qmltpeq @ sK17 @ sK19 @ mactual ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1027]) ).

thf(f1029,plain,
    ( ( ( ( in @ sK20 @ sK12 @ mactual )
        & ( qmltpeq @ sK18 @ sK20 @ mactual )
        & ( in @ sK19 @ sK11 @ mactual ) )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1027]) ).

thf(f1030,plain,
    ( ( ( in @ sK19 @ sK11 @ mactual )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1029]) ).

thf(f1031,plain,
    ( ( $true
      = ( ( in @ sK20 @ sK12 @ mactual )
        & ( qmltpeq @ sK18 @ sK20 @ mactual ) ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1029]) ).

thf(f1032,plain,
    ( ( $true
      = ( qmltpeq @ sK18 @ sK20 @ mactual ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1031]) ).

thf(f1033,plain,
    ( ( ( in @ sK20 @ sK12 @ mactual )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1031]) ).

thf(f1070,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( dirty @ sK16 @ mactual )
          = $false )
        | ( ( old @ sK16 @ mactual )
          = $false )
        | ( ( eiw_di @ sK14 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X0 @ mactual ) )
        | ( ( city @ X0 @ mactual )
          = $false )
        | ( ( lonely @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ sK16 @ mactual )
          = $false )
        | ( ( chevy @ sK16 @ mactual )
          = $false )
        | ( ( white @ sK16 @ mactual )
          = $false )
        | ( ( down @ sK14 @ X1 @ mactual )
          = $false )
        | ( $true = $false )
        | ( $false
          = ( way @ X1 @ mactual ) )
        | ( ( street @ X1 @ mactual )
          = $false )
        | ( $false
          = ( car @ sK16 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( event @ sK14 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( in @ sK14 @ X0 @ mactual )
          = $false ) )
    | spl0_1
    | ~ spl0_4 ),
    inference(superposition,[],[f1007,f316]) ).

thf(f1074,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( event @ sK14 @ mactual )
          = $false )
        | ( ( eiw_di @ sK16 @ mactual )
          = $false )
        | ( ( in @ sK14 @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ sK14 @ mactual )
          = $false )
        | ( ( street @ X1 @ mactual )
          = $false )
        | ( ( down @ sK14 @ X1 @ mactual )
          = $false )
        | ( ( chevy @ sK16 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( dirty @ sK16 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( old @ sK16 @ mactual )
          = $false )
        | ( ( white @ sK16 @ mactual )
          = $false )
        | ( $false
          = ( car @ sK16 @ mactual ) )
        | ( ( city @ X0 @ mactual )
          = $false )
        | ( ( lonely @ X1 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X0 @ mactual ) )
        | ( $false
          = ( way @ X1 @ mactual ) ) )
    | spl0_1
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f1070]) ).

thf(f1076,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( old @ sK16 @ mactual )
          = $false )
        | ( ( eiw_di @ sK16 @ mactual )
          = $false )
        | ( ( lonely @ X1 @ mactual )
          = $false )
        | ( ( down @ sK14 @ X1 @ mactual )
          = $false )
        | ( ( street @ X1 @ mactual )
          = $false )
        | ( ( city @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X0 @ mactual ) )
        | ( ( dirty @ sK16 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( car @ sK16 @ mactual ) )
        | ( $false
          = ( way @ X1 @ mactual ) )
        | ( ( chevy @ sK16 @ mactual )
          = $false )
        | ( ( eiw_di @ sK14 @ mactual )
          = $false )
        | ( $true = $false )
        | ( ( in @ sK14 @ X0 @ mactual )
          = $false )
        | ( ( white @ sK16 @ mactual )
          = $false ) )
    | spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1074,f989]) ).

thf(f1077,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( chevy @ sK16 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X0 @ mactual ) )
        | ( ( city @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ sK14 @ mactual )
          = $false )
        | ( ( down @ sK14 @ X1 @ mactual )
          = $false )
        | ( ( dirty @ sK16 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( white @ sK16 @ mactual )
          = $false )
        | ( ( old @ sK16 @ mactual )
          = $false )
        | ( ( in @ sK14 @ X0 @ mactual )
          = $false )
        | ( ( lonely @ X1 @ mactual )
          = $false )
        | ( ( street @ X1 @ mactual )
          = $false )
        | ( $false
          = ( way @ X1 @ mactual ) )
        | ( $false
          = ( car @ sK16 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ sK16 @ mactual )
          = $false ) )
    | spl0_1
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f1076]) ).

thf(f1080,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( way @ X1 @ mactual ) )
        | ( ( in @ sK14 @ X0 @ mactual )
          = $false )
        | ( ( white @ sK16 @ mactual )
          = $false )
        | ( ( street @ X1 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X0 @ mactual ) )
        | ( ( dirty @ sK16 @ mactual )
          = $false )
        | ( ( old @ sK16 @ mactual )
          = $false )
        | ( ( city @ X0 @ mactual )
          = $false )
        | ( ( down @ sK14 @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ sK16 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( car @ sK16 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( lonely @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ sK14 @ mactual )
          = $false )
        | ( $true = $false ) )
    | spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1077,f997]) ).

thf(f1081,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( dirty @ sK16 @ mactual )
          = $false )
        | ( $false
          = ( way @ X1 @ mactual ) )
        | ( $false
          = ( hollywood @ X0 @ mactual ) )
        | ( ( in @ sK14 @ X0 @ mactual )
          = $false )
        | ( ( down @ sK14 @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ sK16 @ mactual )
          = $false )
        | ( $false
          = ( car @ sK16 @ mactual ) )
        | ( ( lonely @ X1 @ mactual )
          = $false )
        | ( ( street @ X1 @ mactual )
          = $false )
        | ( ( old @ sK16 @ mactual )
          = $false )
        | ( ( eiw_di @ sK14 @ mactual )
          = $false )
        | ( ( city @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( white @ sK16 @ mactual )
          = $false ) )
    | spl0_1
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f1080]) ).

thf(f1084,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( in @ sK14 @ X0 @ mactual )
          = $false )
        | ( $false
          = ( car @ sK16 @ mactual ) )
        | ( $true = $false )
        | ( ( white @ sK16 @ mactual )
          = $false )
        | ( ( city @ X0 @ mactual )
          = $false )
        | ( ( down @ sK14 @ X1 @ mactual )
          = $false )
        | ( ( street @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ sK16 @ mactual )
          = $false )
        | ( ( eiw_di @ sK14 @ mactual )
          = $false )
        | ( $false
          = ( way @ X1 @ mactual ) )
        | ( ( lonely @ X1 @ mactual )
          = $false )
        | ( ( old @ sK16 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( hollywood @ X0 @ mactual ) ) )
    | spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1081,f1003]) ).

thf(f1085,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( white @ sK16 @ mactual )
          = $false )
        | ( ( city @ X0 @ mactual )
          = $false )
        | ( ( in @ sK14 @ X0 @ mactual )
          = $false )
        | ( ( old @ sK16 @ mactual )
          = $false )
        | ( ( down @ sK14 @ X1 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X0 @ mactual ) )
        | ( $false
          = ( car @ sK16 @ mactual ) )
        | ( ( eiw_di @ sK14 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ sK16 @ mactual )
          = $false )
        | ( $false
          = ( way @ X1 @ mactual ) )
        | ( ( lonely @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( street @ X1 @ mactual )
          = $false ) )
    | spl0_1
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f1084]) ).

thf(f1088,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true = $false )
        | ( $false
          = ( hollywood @ X0 @ mactual ) )
        | ( ( eiw_di @ sK14 @ mactual )
          = $false )
        | ( ( eiw_di @ sK16 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( car @ sK16 @ mactual ) )
        | ( ( city @ X0 @ mactual )
          = $false )
        | ( $false
          = ( way @ X1 @ mactual ) )
        | ( ( old @ sK16 @ mactual )
          = $false )
        | ( ( in @ sK14 @ X0 @ mactual )
          = $false )
        | ( ( lonely @ X1 @ mactual )
          = $false )
        | ( ( street @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( down @ sK14 @ X1 @ mactual )
          = $false ) )
    | spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1085,f1001]) ).

thf(f1089,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( eiw_di @ sK16 @ mactual )
          = $false )
        | ( ( eiw_di @ sK14 @ mactual )
          = $false )
        | ( ( old @ sK16 @ mactual )
          = $false )
        | ( $false
          = ( car @ sK16 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( way @ X1 @ mactual ) )
        | ( ( in @ sK14 @ X0 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( city @ X0 @ mactual )
          = $false )
        | ( ( lonely @ X1 @ mactual )
          = $false )
        | ( ( street @ X1 @ mactual )
          = $false )
        | ( ( down @ sK14 @ X1 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X0 @ mactual ) ) )
    | spl0_1
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f1088]) ).

thf(f1092,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( down @ sK14 @ X1 @ mactual )
          = $false )
        | ( ( street @ X1 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X0 @ mactual ) )
        | ( ( eiw_di @ sK14 @ mactual )
          = $false )
        | ( ( lonely @ X1 @ mactual )
          = $false )
        | ( ( in @ sK14 @ X0 @ mactual )
          = $false )
        | ( $false
          = ( way @ X1 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( city @ X0 @ mactual )
          = $false )
        | ( ( old @ sK16 @ mactual )
          = $false )
        | ( $true = $false )
        | ( $false
          = ( car @ sK16 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) ) )
    | spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1089,f940]) ).

thf(f1093,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( lonely @ X1 @ mactual )
          = $false )
        | ( ( old @ sK16 @ mactual )
          = $false )
        | ( $false
          = ( car @ sK16 @ mactual ) )
        | ( ( eiw_di @ sK14 @ mactual )
          = $false )
        | ( ( down @ sK14 @ X1 @ mactual )
          = $false )
        | ( ( street @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( hollywood @ X0 @ mactual ) )
        | ( ( city @ X0 @ mactual )
          = $false )
        | ( $false
          = ( way @ X1 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( in @ sK14 @ X0 @ mactual )
          = $false ) )
    | spl0_1
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f1092]) ).

thf(f1096,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( down @ sK14 @ X1 @ mactual )
          = $false )
        | ( $false
          = ( car @ sK16 @ mactual ) )
        | ( $false
          = ( hollywood @ X0 @ mactual ) )
        | ( $false
          = ( way @ X1 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $true = $false )
        | ( ( street @ X1 @ mactual )
          = $false )
        | ( ( city @ X0 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( lonely @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ sK14 @ mactual )
          = $false )
        | ( ( in @ sK14 @ X0 @ mactual )
          = $false ) )
    | spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1093,f1005]) ).

thf(f1097,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( street @ X1 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X0 @ mactual ) )
        | ( $false
          = ( way @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( in @ sK14 @ X0 @ mactual )
          = $false )
        | ( $false
          = ( car @ sK16 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( down @ sK14 @ X1 @ mactual )
          = $false )
        | ( ( lonely @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ sK14 @ mactual )
          = $false )
        | ( ( city @ X0 @ mactual )
          = $false ) )
    | spl0_1
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f1096]) ).

thf(f1100,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( in @ sK14 @ X0 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X0 @ mactual ) )
        | ( $true = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( city @ X0 @ mactual )
          = $false )
        | ( ( lonely @ X1 @ mactual )
          = $false )
        | ( ( street @ X1 @ mactual )
          = $false )
        | ( ( down @ sK14 @ X1 @ mactual )
          = $false )
        | ( $false
          = ( way @ X1 @ mactual ) )
        | ( ( eiw_di @ sK14 @ mactual )
          = $false ) )
    | spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1097,f999]) ).

thf(f1101,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( lonely @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( in @ sK14 @ X0 @ mactual )
          = $false )
        | ( $false
          = ( way @ X1 @ mactual ) )
        | ( ( down @ sK14 @ X1 @ mactual )
          = $false )
        | ( ( street @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ sK14 @ mactual )
          = $false )
        | ( ( city @ X0 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X0 @ mactual ) ) )
    | spl0_1
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f1100]) ).

thf(f1104,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( city @ X0 @ mactual )
          = $false )
        | ( $true = $false )
        | ( $false
          = ( way @ X1 @ mactual ) )
        | ( ( street @ X1 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X0 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( down @ sK14 @ X1 @ mactual )
          = $false )
        | ( ( in @ sK14 @ X0 @ mactual )
          = $false )
        | ( ( lonely @ X1 @ mactual )
          = $false ) )
    | spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1101,f918]) ).

thf(f1105,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( way @ X1 @ mactual ) )
        | ( ( city @ X0 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X0 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( street @ X1 @ mactual )
          = $false )
        | ( ( lonely @ X1 @ mactual )
          = $false )
        | ( ( down @ sK14 @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( in @ sK14 @ X0 @ mactual )
          = $false ) )
    | spl0_1
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f1104]) ).

thf(f1115,definition,
    ( spl0_9
  <=> ! [X1: $i] :
        ( ( $false
          = ( way @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( down @ sK14 @ X1 @ mactual )
          = $false )
        | ( ( lonely @ X1 @ mactual )
          = $false )
        | ( ( street @ X1 @ mactual )
          = $false ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

thf(f1116,plain,
    ( ! [X1: $i] :
        ( ( ( down @ sK14 @ X1 @ mactual )
          = $false )
        | ( $false
          = ( way @ X1 @ mactual ) )
        | ( ( lonely @ X1 @ mactual )
          = $false )
        | ( ( street @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) ) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f1115]) ).

thf(f1118,definition,
    ( spl0_10
  <=> ! [X0: $i] :
        ( ( ( city @ X0 @ mactual )
          = $false )
        | ( ( in @ sK14 @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X0 @ mactual ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

thf(f1119,plain,
    ( ! [X0: $i] :
        ( ( ( in @ sK14 @ X0 @ mactual )
          = $false )
        | ( ( city @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X0 @ mactual ) ) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f1118]) ).

thf(f1120,plain,
    ( spl0_9
    | spl0_10
    | spl0_1
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f1105,f315,f222,f1118,f1115]) ).

thf(f1129,plain,
    ( ( ( hollywood @ sK13 @ mactual )
      = $false )
    | ( $true = $false )
    | ( ( eiw_di @ sK13 @ mactual )
      = $false )
    | ( ( city @ sK13 @ mactual )
      = $false )
    | spl0_1
    | ~ spl0_10 ),
    inference(superposition,[],[f1011,f1119]) ).

thf(f1132,plain,
    ( ( ( city @ sK13 @ mactual )
      = $false )
    | ( ( eiw_di @ sK13 @ mactual )
      = $false )
    | ( ( hollywood @ sK13 @ mactual )
      = $false )
    | spl0_1
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f1129]) ).

thf(f1135,plain,
    ( ( $true = $false )
    | ( ( hollywood @ sK13 @ mactual )
      = $false )
    | ( ( eiw_di @ sK13 @ mactual )
      = $false )
    | spl0_1
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1132,f987]) ).

thf(f1136,plain,
    ( ( ( hollywood @ sK13 @ mactual )
      = $false )
    | ( ( eiw_di @ sK13 @ mactual )
      = $false )
    | spl0_1
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f1135]) ).

thf(f1139,plain,
    ( ( ( eiw_di @ sK13 @ mactual )
      = $false )
    | ( $true = $false )
    | spl0_1
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1136,f985]) ).

thf(f1140,plain,
    ( ( ( eiw_di @ sK13 @ mactual )
      = $false )
    | spl0_1
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f1139]) ).

thf(f1143,plain,
    ( ( $true = $false )
    | spl0_1
    | ~ spl0_10 ),
    inference(superposition,[],[f1140,f839]) ).

thf(f1148,plain,
    ( $false
    | spl0_1
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f1143]) ).

thf(f1149,plain,
    ( spl0_1
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1148]) ).

thf(f1151,plain,
    ( ( $false
      = ( eiw_di @ sK15 @ mactual ) )
    | ( $true = $false )
    | ( $false
      = ( way @ sK15 @ mactual ) )
    | ( $false
      = ( street @ sK15 @ mactual ) )
    | ( $false
      = ( lonely @ sK15 @ mactual ) )
    | spl0_1
    | ~ spl0_9 ),
    inference(superposition,[],[f1116,f1009]) ).

thf(f1154,plain,
    ( ( $false
      = ( street @ sK15 @ mactual ) )
    | ( $false
      = ( eiw_di @ sK15 @ mactual ) )
    | ( $false
      = ( lonely @ sK15 @ mactual ) )
    | ( $false
      = ( way @ sK15 @ mactual ) )
    | spl0_1
    | ~ spl0_9 ),
    inference(trivial_inequality_removal,[],[f1151]) ).

thf(f1157,plain,
    ( ( $false
      = ( lonely @ sK15 @ mactual ) )
    | ( $true = $false )
    | ( $false
      = ( way @ sK15 @ mactual ) )
    | ( $false
      = ( eiw_di @ sK15 @ mactual ) )
    | spl0_1
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1154,f991]) ).

thf(f1158,plain,
    ( ( $false
      = ( lonely @ sK15 @ mactual ) )
    | ( $false
      = ( way @ sK15 @ mactual ) )
    | ( $false
      = ( eiw_di @ sK15 @ mactual ) )
    | spl0_1
    | ~ spl0_9 ),
    inference(trivial_inequality_removal,[],[f1157]) ).

thf(f1161,plain,
    ( ( $true = $false )
    | ( $false
      = ( eiw_di @ sK15 @ mactual ) )
    | ( $false
      = ( way @ sK15 @ mactual ) )
    | spl0_1
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1158,f995]) ).

thf(f1162,plain,
    ( ( $false
      = ( way @ sK15 @ mactual ) )
    | ( $false
      = ( eiw_di @ sK15 @ mactual ) )
    | spl0_1
    | ~ spl0_9 ),
    inference(trivial_inequality_removal,[],[f1161]) ).

thf(f1165,plain,
    ( ( $false
      = ( eiw_di @ sK15 @ mactual ) )
    | ( $true = $false )
    | spl0_1
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1162,f993]) ).

thf(f1166,plain,
    ( ( $false
      = ( eiw_di @ sK15 @ mactual ) )
    | spl0_1
    | ~ spl0_9 ),
    inference(trivial_inequality_removal,[],[f1165]) ).

thf(f1171,plain,
    ( ( $true = $false )
    | spl0_1
    | ~ spl0_9 ),
    inference(superposition,[],[f932,f1166]) ).

thf(f1175,plain,
    ( $false
    | spl0_1
    | ~ spl0_9 ),
    inference(trivial_inequality_removal,[],[f1171]) ).

thf(f1176,plain,
    ( spl0_1
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1175]) ).

thf(f1198,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ sK19 @ mactual )
          = $false )
        | ( ( fellow @ sK17 @ mactual )
          = $false )
        | ( $false
          = ( qmltpeq @ X2 @ X3 @ mactual ) )
        | ( ( man @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( front @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ sK17 @ mactual )
          = $false )
        | ( $true
          = ( qmltpeq @ sK17 @ X2 @ mactual ) )
        | ( $false
          = ( fellow @ X2 @ mactual ) )
        | ( ( seat @ X0 @ mactual )
          = $false )
        | ( $true = $false )
        | ( $false
          = ( young @ sK17 @ mactual ) )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( in @ sK19 @ X0 @ mactual )
          = $false )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( young @ X2 @ mactual )
          = $false )
        | ( $false
          = ( in @ X3 @ X1 @ mactual ) )
        | ( ( man @ sK17 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( $false
          = ( front @ X1 @ mactual ) ) )
    | spl0_1
    | ~ spl0_3 ),
    inference(superposition,[],[f1028,f313]) ).

thf(f1201,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( qmltpeq @ X2 @ X3 @ mactual ) )
        | ( $false
          = ( young @ sK17 @ mactual ) )
        | ( ( front @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ sK19 @ mactual )
          = $false )
        | ( ( seat @ X0 @ mactual )
          = $false )
        | ( ( young @ X2 @ mactual )
          = $false )
        | ( $true
          = ( qmltpeq @ sK17 @ X2 @ mactual ) )
        | ( $false
          = ( fellow @ X2 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( ( man @ X2 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( man @ sK17 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( $false
          = ( in @ X3 @ X1 @ mactual ) )
        | ( ( eiw_di @ sK17 @ mactual )
          = $false )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( ( in @ sK19 @ X0 @ mactual )
          = $false )
        | ( ( fellow @ sK17 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) ) )
    | spl0_1
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f1198]) ).

thf(f1204,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( young @ X2 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ sK19 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( in @ X3 @ X1 @ mactual ) )
        | ( $false
          = ( qmltpeq @ X2 @ X3 @ mactual ) )
        | ( ( in @ sK19 @ X0 @ mactual )
          = $false )
        | ( ( front @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ sK17 @ mactual )
          = $false )
        | ( ( seat @ X0 @ mactual )
          = $false )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $true = $false )
        | ( ( fellow @ sK17 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( $true
          = ( qmltpeq @ sK17 @ X2 @ mactual ) )
        | ( ( man @ sK17 @ mactual )
          = $false )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ X2 @ mactual ) )
        | ( ( man @ X2 @ mactual )
          = $false ) )
    | spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f1201,f1020]) ).

thf(f1205,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( fellow @ sK17 @ mactual )
          = $false )
        | ( ( in @ sK19 @ X0 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ X2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( young @ X2 @ mactual )
          = $false )
        | ( $true
          = ( qmltpeq @ sK17 @ X2 @ mactual ) )
        | ( ( man @ sK17 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ sK19 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( qmltpeq @ X2 @ X3 @ mactual ) )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( front @ X0 @ mactual )
          = $false )
        | ( ( man @ X2 @ mactual )
          = $false )
        | ( $false
          = ( in @ X3 @ X1 @ mactual ) )
        | ( ( eiw_di @ sK17 @ mactual )
          = $false )
        | ( ( seat @ X0 @ mactual )
          = $false ) )
    | spl0_1
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f1204]) ).

thf(f1208,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( eiw_di @ sK17 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( front @ X0 @ mactual )
          = $false )
        | ( ( seat @ X0 @ mactual )
          = $false )
        | ( ( man @ sK17 @ mactual )
          = $false )
        | ( ( in @ sK19 @ X0 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( qmltpeq @ X2 @ X3 @ mactual ) )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ sK19 @ mactual )
          = $false )
        | ( $true = $false )
        | ( $false
          = ( fellow @ X2 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( $false
          = ( in @ X3 @ X1 @ mactual ) )
        | ( $true
          = ( qmltpeq @ sK17 @ X2 @ mactual ) )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( man @ X2 @ mactual )
          = $false )
        | ( ( young @ X2 @ mactual )
          = $false ) )
    | spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f1205,f1015]) ).

thf(f1209,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( in @ sK19 @ X0 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( front @ X0 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ sK19 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ X2 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( seat @ X0 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( man @ sK17 @ mactual )
          = $false )
        | ( $false
          = ( in @ X3 @ X1 @ mactual ) )
        | ( ( man @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( young @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( $false
          = ( qmltpeq @ X2 @ X3 @ mactual ) )
        | ( ( eiw_di @ sK17 @ mactual )
          = $false )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( $true
          = ( qmltpeq @ sK17 @ X2 @ mactual ) ) )
    | spl0_1
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f1208]) ).

thf(f1212,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( eiw_di @ sK17 @ mactual )
          = $false )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( $false
          = ( in @ X3 @ X1 @ mactual ) )
        | ( ( man @ sK17 @ mactual )
          = $false )
        | ( $false
          = ( qmltpeq @ X2 @ X3 @ mactual ) )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( $true
          = ( qmltpeq @ sK17 @ X2 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( seat @ X0 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( man @ X2 @ mactual )
          = $false )
        | ( ( in @ sK19 @ X0 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( front @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $true = $false )
        | ( ( young @ X2 @ mactual )
          = $false )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( $false
          = ( fellow @ X2 @ mactual ) ) )
    | spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f1209,f964]) ).

thf(f1213,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ sK17 @ mactual )
          = $false )
        | ( ( man @ sK17 @ mactual )
          = $false )
        | ( ( man @ X2 @ mactual )
          = $false )
        | ( ( in @ sK19 @ X0 @ mactual )
          = $false )
        | ( ( seat @ X0 @ mactual )
          = $false )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( fellow @ X2 @ mactual ) )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( ( young @ X2 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $true
          = ( qmltpeq @ sK17 @ X2 @ mactual ) )
        | ( ( front @ X0 @ mactual )
          = $false )
        | ( $false
          = ( in @ X3 @ X1 @ mactual ) )
        | ( $false
          = ( qmltpeq @ X2 @ X3 @ mactual ) ) )
    | spl0_1
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f1212]) ).

thf(f1216,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( furniture @ X0 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( man @ sK17 @ mactual )
          = $false )
        | ( ( in @ sK19 @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( $false
          = ( fellow @ X2 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( young @ X2 @ mactual )
          = $false )
        | ( $true = $false )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( $false
          = ( qmltpeq @ X2 @ X3 @ mactual ) )
        | ( $false
          = ( in @ X3 @ X1 @ mactual ) )
        | ( ( front @ X0 @ mactual )
          = $false )
        | ( ( man @ X2 @ mactual )
          = $false )
        | ( $true
          = ( qmltpeq @ sK17 @ X2 @ mactual ) )
        | ( ( seat @ X0 @ mactual )
          = $false ) )
    | spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f1213,f948]) ).

thf(f1217,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( $true
          = ( qmltpeq @ sK17 @ X2 @ mactual ) )
        | ( ( man @ X2 @ mactual )
          = $false )
        | ( ( young @ X2 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( $false
          = ( in @ X3 @ X1 @ mactual ) )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( $false
          = ( qmltpeq @ X2 @ X3 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( front @ X0 @ mactual )
          = $false )
        | ( ( in @ sK19 @ X0 @ mactual )
          = $false )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( $false
          = ( fellow @ X2 @ mactual ) )
        | ( ( seat @ X0 @ mactual )
          = $false )
        | ( ( man @ sK17 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) ) )
    | spl0_1
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f1216]) ).

thf(f1220,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( front @ X0 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ X2 @ mactual ) )
        | ( $true
          = ( qmltpeq @ sK17 @ X2 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( in @ sK19 @ X0 @ mactual )
          = $false )
        | ( ( seat @ X0 @ mactual )
          = $false )
        | ( $true = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( man @ X2 @ mactual )
          = $false )
        | ( $false
          = ( qmltpeq @ X2 @ X3 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( $false
          = ( in @ X3 @ X1 @ mactual ) )
        | ( ( young @ X2 @ mactual )
          = $false ) )
    | spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f1217,f1018]) ).

thf(f1221,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( in @ X3 @ X1 @ mactual ) )
        | ( $false
          = ( qmltpeq @ X2 @ X3 @ mactual ) )
        | ( ( in @ sK19 @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( ( front @ X0 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ X2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( young @ X2 @ mactual )
          = $false )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( $true
          = ( qmltpeq @ sK17 @ X2 @ mactual ) )
        | ( ( man @ X2 @ mactual )
          = $false )
        | ( ( seat @ X0 @ mactual )
          = $false ) )
    | spl0_1
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f1220]) ).

thf(f1227,definition,
    ( spl0_11
  <=> ! [X0: $i] :
        ( ( ( in @ sK19 @ X0 @ mactual )
          = $false )
        | ( ( seat @ X0 @ mactual )
          = $false )
        | ( ( front @ X0 @ mactual )
          = $false )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

thf(f1228,plain,
    ( ! [X0: $i] :
        ( ( ( in @ sK19 @ X0 @ mactual )
          = $false )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( ( front @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( seat @ X0 @ mactual )
          = $false ) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f1227]) ).

thf(f1230,definition,
    ( spl0_12
  <=> ! [X2: $i,X1: $i,X3: $i] :
        ( ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( man @ X2 @ mactual )
          = $false )
        | ( $true
          = ( qmltpeq @ sK17 @ X2 @ mactual ) )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( ( young @ X2 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( $false
          = ( fellow @ X2 @ mactual ) )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( $false
          = ( qmltpeq @ X2 @ X3 @ mactual ) )
        | ( $false
          = ( in @ X3 @ X1 @ mactual ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

thf(f1231,plain,
    ( ! [X2: $i,X3: $i,X1: $i] :
        ( ( $true
          = ( qmltpeq @ sK17 @ X2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( ( man @ X2 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( $false
          = ( in @ X3 @ X1 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( furniture @ X1 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ X2 @ mactual ) )
        | ( $false
          = ( front @ X1 @ mactual ) )
        | ( ( young @ X2 @ mactual )
          = $false )
        | ( $false
          = ( qmltpeq @ X2 @ X3 @ mactual ) ) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f1230]) ).

thf(f1232,plain,
    ( spl0_11
    | spl0_12
    | spl0_1
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f1221,f312,f222,f1230,f1227]) ).

thf(f1259,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( qmltpeq @ sK18 @ X1 @ mactual )
          = $false )
        | ( ( front @ X0 @ mactual )
          = $false )
        | ( ( man @ sK18 @ mactual )
          = $false )
        | ( ( seat @ X0 @ mactual )
          = $false )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ sK18 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $true = $false )
        | ( ( in @ X1 @ X0 @ mactual )
          = $false )
        | ( $false
          = ( young @ sK18 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( fellow @ sK18 @ mactual )
          = $false ) )
    | spl0_1
    | ~ spl0_12 ),
    inference(superposition,[],[f1231,f1017]) ).

thf(f1267,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( seat @ X0 @ mactual )
          = $false )
        | ( ( man @ sK18 @ mactual )
          = $false )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( $false
          = ( young @ sK18 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( fellow @ sK18 @ mactual )
          = $false )
        | ( ( qmltpeq @ sK18 @ X1 @ mactual )
          = $false )
        | ( ( in @ X1 @ X0 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ sK18 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( front @ X0 @ mactual )
          = $false ) )
    | spl0_1
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f1259]) ).

thf(f1273,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( fellow @ sK18 @ mactual )
          = $false )
        | ( ( in @ X1 @ X0 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( qmltpeq @ sK18 @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ sK18 @ mactual ) )
        | ( ( front @ X0 @ mactual )
          = $false )
        | ( $false
          = ( young @ sK18 @ mactual ) )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( ( seat @ X0 @ mactual )
          = $false )
        | ( $true = $false ) )
    | spl0_1
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1267,f1024]) ).

thf(f1274,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( qmltpeq @ sK18 @ X1 @ mactual )
          = $false )
        | ( $false
          = ( young @ sK18 @ mactual ) )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( fellow @ sK18 @ mactual )
          = $false )
        | ( ( front @ X0 @ mactual )
          = $false )
        | ( ( in @ X1 @ X0 @ mactual )
          = $false )
        | ( ( seat @ X0 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ sK18 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false ) )
    | spl0_1
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f1273]) ).

thf(f1277,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( eiw_di @ sK18 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( ( seat @ X0 @ mactual )
          = $false )
        | ( ( fellow @ sK18 @ mactual )
          = $false )
        | ( ( in @ X1 @ X0 @ mactual )
          = $false )
        | ( ( qmltpeq @ sK18 @ X1 @ mactual )
          = $false )
        | ( ( front @ X0 @ mactual )
          = $false )
        | ( $true = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false ) )
    | spl0_1
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1274,f1026]) ).

thf(f1278,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( qmltpeq @ sK18 @ X1 @ mactual )
          = $false )
        | ( ( fellow @ sK18 @ mactual )
          = $false )
        | ( ( seat @ X0 @ mactual )
          = $false )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( ( in @ X1 @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ sK18 @ mactual ) )
        | ( ( front @ X0 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) ) )
    | spl0_1
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f1277]) ).

thf(f1281,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( qmltpeq @ sK18 @ X1 @ mactual )
          = $false )
        | ( ( in @ X1 @ X0 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ sK18 @ mactual ) )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( ( seat @ X0 @ mactual )
          = $false )
        | ( ( front @ X0 @ mactual )
          = $false )
        | ( $true = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false ) )
    | spl0_1
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1278,f1022]) ).

thf(f1282,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( qmltpeq @ sK18 @ X1 @ mactual )
          = $false )
        | ( ( in @ X1 @ X0 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ sK18 @ mactual ) )
        | ( ( front @ X0 @ mactual )
          = $false )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( seat @ X0 @ mactual )
          = $false ) )
    | spl0_1
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f1281]) ).

thf(f1285,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( qmltpeq @ sK18 @ X1 @ mactual )
          = $false )
        | ( ( seat @ X0 @ mactual )
          = $false )
        | ( $true = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( front @ X0 @ mactual )
          = $false )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( ( in @ X1 @ X0 @ mactual )
          = $false ) )
    | spl0_1
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1282,f956]) ).

thf(f1286,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( qmltpeq @ sK18 @ X1 @ mactual )
          = $false )
        | ( ( seat @ X0 @ mactual )
          = $false )
        | ( ( in @ X1 @ X0 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( ( front @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false ) )
    | spl0_1
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f1285]) ).

thf(f1294,plain,
    ( ! [X0: $i] :
        ( ( ( front @ X0 @ mactual )
          = $false )
        | ( ( in @ sK20 @ X0 @ mactual )
          = $false )
        | ( ( seat @ X0 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ sK20 @ mactual ) )
        | ( $true = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( furniture @ X0 @ mactual )
          = $false ) )
    | spl0_1
    | ~ spl0_12 ),
    inference(superposition,[],[f1032,f1286]) ).

thf(f1296,plain,
    ( ! [X0: $i] :
        ( ( ( seat @ X0 @ mactual )
          = $false )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ sK20 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( in @ sK20 @ X0 @ mactual )
          = $false )
        | ( ( front @ X0 @ mactual )
          = $false ) )
    | spl0_1
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f1294]) ).

thf(f1303,plain,
    ( ! [X0: $i] :
        ( ( ( front @ X0 @ mactual )
          = $false )
        | ( ( in @ sK20 @ X0 @ mactual )
          = $false )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( seat @ X0 @ mactual )
          = $false )
        | ( $true = $false ) )
    | spl0_1
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1296,f972]) ).

thf(f1304,plain,
    ( ! [X0: $i] :
        ( ( ( in @ sK20 @ X0 @ mactual )
          = $false )
        | ( ( front @ X0 @ mactual )
          = $false )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( seat @ X0 @ mactual )
          = $false ) )
    | spl0_1
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f1303]) ).

thf(f1307,plain,
    ( ( $true = $false )
    | ( ( front @ sK12 @ mactual )
      = $false )
    | ( ( furniture @ sK12 @ mactual )
      = $false )
    | ( ( eiw_di @ sK12 @ mactual )
      = $false )
    | ( ( seat @ sK12 @ mactual )
      = $false )
    | spl0_1
    | ~ spl0_12 ),
    inference(superposition,[],[f1304,f1033]) ).

thf(f1310,plain,
    ( ( ( seat @ sK12 @ mactual )
      = $false )
    | ( ( front @ sK12 @ mactual )
      = $false )
    | ( ( eiw_di @ sK12 @ mactual )
      = $false )
    | ( ( furniture @ sK12 @ mactual )
      = $false )
    | spl0_1
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f1307]) ).

thf(f1313,plain,
    ( ( ( eiw_di @ sK12 @ mactual )
      = $false )
    | ( ( front @ sK12 @ mactual )
      = $false )
    | ( $true = $false )
    | ( ( furniture @ sK12 @ mactual )
      = $false )
    | spl0_1
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1310,f979]) ).

thf(f1314,plain,
    ( ( ( front @ sK12 @ mactual )
      = $false )
    | ( ( eiw_di @ sK12 @ mactual )
      = $false )
    | ( ( furniture @ sK12 @ mactual )
      = $false )
    | spl0_1
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f1313]) ).

thf(f1317,plain,
    ( ( ( eiw_di @ sK12 @ mactual )
      = $false )
    | ( $true = $false )
    | ( ( furniture @ sK12 @ mactual )
      = $false )
    | spl0_1
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1314,f983]) ).

thf(f1318,plain,
    ( ( ( eiw_di @ sK12 @ mactual )
      = $false )
    | ( ( furniture @ sK12 @ mactual )
      = $false )
    | spl0_1
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f1317]) ).

thf(f1321,plain,
    ( ( ( furniture @ sK12 @ mactual )
      = $false )
    | ( $true = $false )
    | spl0_1
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1318,f821]) ).

thf(f1322,plain,
    ( ( ( furniture @ sK12 @ mactual )
      = $false )
    | spl0_1
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f1321]) ).

thf(f1327,plain,
    ( ( $true = $false )
    | spl0_1
    | ~ spl0_12 ),
    inference(superposition,[],[f981,f1322]) ).

thf(f1330,plain,
    ( $false
    | spl0_1
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f1327]) ).

thf(f1331,plain,
    ( spl0_1
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1330]) ).

thf(f1335,plain,
    ( ( ( eiw_di @ sK11 @ mactual )
      = $false )
    | ( ( furniture @ sK11 @ mactual )
      = $false )
    | ( $false
      = ( seat @ sK11 @ mactual ) )
    | ( $true = $false )
    | ( ( front @ sK11 @ mactual )
      = $false )
    | spl0_1
    | ~ spl0_11 ),
    inference(superposition,[],[f1030,f1228]) ).

thf(f1337,plain,
    ( ( ( furniture @ sK11 @ mactual )
      = $false )
    | ( ( front @ sK11 @ mactual )
      = $false )
    | ( $false
      = ( seat @ sK11 @ mactual ) )
    | ( ( eiw_di @ sK11 @ mactual )
      = $false )
    | spl0_1
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f1335]) ).

thf(f1339,plain,
    ( ( $false
      = ( seat @ sK11 @ mactual ) )
    | ( ( front @ sK11 @ mactual )
      = $false )
    | ( $true = $false )
    | ( ( eiw_di @ sK11 @ mactual )
      = $false )
    | spl0_1
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1337,f975]) ).

thf(f1340,plain,
    ( ( ( front @ sK11 @ mactual )
      = $false )
    | ( $false
      = ( seat @ sK11 @ mactual ) )
    | ( ( eiw_di @ sK11 @ mactual )
      = $false )
    | spl0_1
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f1339]) ).

thf(f1343,plain,
    ( ( ( eiw_di @ sK11 @ mactual )
      = $false )
    | ( $true = $false )
    | ( $false
      = ( seat @ sK11 @ mactual ) )
    | spl0_1
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1340,f977]) ).

thf(f1344,plain,
    ( ( ( eiw_di @ sK11 @ mactual )
      = $false )
    | ( $false
      = ( seat @ sK11 @ mactual ) )
    | spl0_1
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f1343]) ).

thf(f1347,plain,
    ( ( $false
      = ( seat @ sK11 @ mactual ) )
    | ( $true = $false )
    | spl0_1
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1344,f808]) ).

thf(f1348,plain,
    ( ( $false
      = ( seat @ sK11 @ mactual ) )
    | spl0_1
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f1347]) ).

thf(f1353,plain,
    ( ( $true = $false )
    | spl0_1
    | ~ spl0_11 ),
    inference(superposition,[],[f973,f1348]) ).

thf(f1357,plain,
    ( $false
    | spl0_1
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f1353]) ).

thf(f1358,plain,
    ( spl0_1
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1357]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2 ),
    inference(sat_conversion,[],[f229]) ).

cnf(s2,plain,
    ( ~ spl0_1
    | spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f317]) ).

cnf(s3,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | spl0_5
    | spl0_6 ),
    inference(sat_conversion,[],[f592]) ).

cnf(s5,plain,
    ( ~ spl0_1
    | ~ spl0_5 ),
    inference(sat_conversion,[],[f620]) ).

cnf(s7,plain,
    ( ~ spl0_1
    | ~ spl0_6 ),
    inference(sat_conversion,[],[f708]) ).

cnf(s8,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | spl0_7
    | spl0_8 ),
    inference(sat_conversion,[],[f753]) ).

cnf(s10,plain,
    ( ~ spl0_1
    | ~ spl0_7 ),
    inference(sat_conversion,[],[f774]) ).

cnf(s12,plain,
    ( ~ spl0_1
    | ~ spl0_8 ),
    inference(sat_conversion,[],[f800]) ).

cnf(s13,plain,
    ( ~ spl0_2
    | spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f908]) ).

cnf(s14,plain,
    ( spl0_1
    | ~ spl0_4
    | spl0_9
    | spl0_10 ),
    inference(sat_conversion,[],[f1120]) ).

cnf(s16,plain,
    ( spl0_1
    | ~ spl0_10 ),
    inference(sat_conversion,[],[f1149]) ).

cnf(s18,plain,
    ( spl0_1
    | ~ spl0_9 ),
    inference(sat_conversion,[],[f1176]) ).

cnf(s19,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_11
    | spl0_12 ),
    inference(sat_conversion,[],[f1232]) ).

cnf(s21,plain,
    ( spl0_1
    | ~ spl0_12 ),
    inference(sat_conversion,[],[f1331]) ).

cnf(s23,plain,
    ( spl0_1
    | ~ spl0_11 ),
    inference(sat_conversion,[],[f1358]) ).

cnf(s24,plain,
    ( spl0_1
    | spl0_12
    | spl0_11 ),
    inference(rat,[],[s13,s1,s14,s16,s18,s19]) ).

cnf(s25,plain,
    spl0_1,
    inference(rat,[],[s24,s21,s23]) ).

cnf(s26,plain,
    ~ spl0_8,
    inference(rat,[],[s12,s25]) ).

cnf(s27,plain,
    ~ spl0_7,
    inference(rat,[],[s10,s25]) ).

cnf(s28,plain,
    ~ spl0_4,
    inference(rat,[],[s8,s26,s27,s25]) ).

cnf(s29,plain,
    ~ spl0_6,
    inference(rat,[],[s7,s25]) ).

cnf(s30,plain,
    ~ spl0_5,
    inference(rat,[],[s5,s25]) ).

cnf(s31,plain,
    ~ spl0_3,
    inference(rat,[],[s3,s29,s30,s25]) ).

cnf(s32,plain,
    $false,
    inference(rat,[],[s2,s31,s28,s25]) ).

thf(f1359,plain,
    $false,
    inference(avatar_sat_refutation,[],[s32]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : NLP004^8 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.03  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.00/0.11  % Computer : n012.cluster.edu
% 0.00/0.11  % Model    : x86_64 x86_64
% 0.00/0.11  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11  % Memory   : 8046.5625MB
% 0.00/0.11  % OS       : Linux 6.8.0-71-generic
% 0.00/0.11  % CPULimit : 300
% 0.00/0.11  % WCLimit  : 300
% 0.00/0.11  % DateTime : Tue Sep 29 11:36:34 UTC 2026
% 0.00/0.11  % CPUTime  : 
% 0.00/0.11  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.13  Running higher-order theorem proving
% 0.09/0.14  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.23  % (4174191)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.09/0.23  % (4174202)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.09/0.23  % (4174202)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
% 0.09/0.23  % (4174198)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3783117398:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.09/0.23  % (4174200)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=499731761:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.09/0.23  % (4174199)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=3754257979: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)
% 0.09/0.23  % (4174197)lrs+10_16_si=on:nwc=1.5:random_seed=2239325874:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.09/0.23  % (4174196)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3962812778:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.09/0.23  % (4174202)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=968843183:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.09/0.23  % (4174198)Instruction limit reached! 
% 0.09/0.23  % (4174198)------------------------------
% 0.09/0.23  % (4174198)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.23  % (4174198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.23  % (4174198)CaDiCaL version: 2.1.3
% 0.09/0.23  % (4174198)Termination reason: Instruction limit
% 0.09/0.23  % (4174198)Termination phase: shuffling
% 0.09/0.23  % (4174198)Time elapsed: 0.001 s
% 0.09/0.23  % (4174198)Peak memory usage: 10 MB
% 0.09/0.23  % (4174198)Instructions burned: 6 (million)
% 0.09/0.23  % (4174201)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1988963703:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.09/0.23  % (4174197)Instruction limit reached! 
% 0.09/0.23  % (4174197)------------------------------
% 0.09/0.23  % (4174197)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.23  % (4174197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.23  % (4174197)CaDiCaL version: 2.1.3
% 0.09/0.23  % (4174197)Termination reason: Instruction limit
% 0.09/0.23  % (4174197)Termination phase: Function definition elimination
% 0.09/0.23  % (4174197)Time elapsed: 0.004 s
% 0.09/0.23  % (4174197)Peak memory usage: 10 MB
% 0.09/0.23  % (4174197)Instructions burned: 20 (million)
% 0.09/0.23  % (4174200)Instruction limit reached! 
% 0.09/0.23  % (4174200)------------------------------
% 0.09/0.23  % (4174200)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.23  % (4174200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.23  % (4174200)CaDiCaL version: 2.1.3
% 0.09/0.23  % (4174200)Termination reason: Instruction limit
% 0.09/0.23  % (4174200)Termination phase: Saturation
% 0.09/0.23  % (4174200)Time elapsed: 0.005 s
% 0.09/0.23  % (4174200)Peak memory usage: 12 MB
% 0.09/0.23  % (4174200)Instructions burned: 24 (million)
% 0.09/0.23  % (4174209)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2063089377:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.09/0.23  % (4174209)Instruction limit reached! 
% 0.09/0.23  % (4174209)------------------------------
% 0.09/0.23  % (4174209)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.23  % (4174209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.23  % (4174209)CaDiCaL version: 2.1.3
% 0.09/0.23  % (4174209)Termination reason: Instruction limit
% 0.09/0.23  % (4174209)Termination phase: shuffling
% 0.09/0.23  % (4174209)Time elapsed: 0.001 s
% 0.09/0.23  % (4174209)Peak memory usage: 10 MB
% 0.09/0.23  % (4174209)Instructions burned: 7 (million)
% 0.09/0.23  % (4174212)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.09/0.25  % (4174211)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1705390103:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.09/0.25  % (4174212)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2117856431:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.09/0.25  % (4174211)Instruction limit reached! 
% 0.09/0.25  % (4174211)------------------------------
% 0.09/0.25  % (4174211)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.25  % (4174211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.25  % (4174211)CaDiCaL version: 2.1.3
% 0.09/0.25  % (4174211)Termination reason: Instruction limit
% 0.09/0.25  % (4174211)Termination phase: shuffling
% 0.09/0.25  % (4174211)Time elapsed: 0.001 s
% 0.09/0.25  % (4174211)Peak memory usage: 10 MB
% 0.09/0.25  % (4174211)Instructions burned: 6 (million)
% 0.09/0.25  % (4174212)Instruction limit reached! 
% 0.09/0.25  % (4174212)------------------------------
% 0.09/0.25  % (4174212)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.25  % (4174212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.25  % (4174212)CaDiCaL version: 2.1.3
% 0.09/0.25  % (4174212)Termination reason: Instruction limit
% 0.09/0.25  % (4174212)Termination phase: Property scanning
% 0.09/0.25  % (4174212)Time elapsed: 0.002 s
% 0.09/0.25  % (4174212)Peak memory usage: 10 MB
% 0.09/0.25  % (4174212)Instructions burned: 12 (million)
% 0.09/0.25  % (4174196)Instruction limit reached! 
% 0.09/0.25  % (4174196)------------------------------
% 0.09/0.25  % (4174196)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.25  % (4174196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.25  % (4174196)CaDiCaL version: 2.1.3
% 0.09/0.25  % (4174196)Termination reason: Instruction limit
% 0.09/0.25  % (4174196)Termination phase: Saturation
% 0.09/0.25  % (4174196)Time elapsed: 0.018 s
% 0.09/0.25  % (4174196)Peak memory usage: 12 MB
% 0.09/0.25  % (4174196)Instructions burned: 87 (million)
% 0.09/0.25  % (4174201)Instruction limit reached! 
% 0.09/0.25  % (4174201)------------------------------
% 0.09/0.25  % (4174201)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.25  % (4174201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.25  % (4174201)CaDiCaL version: 2.1.3
% 0.09/0.25  % (4174201)Termination reason: Instruction limit
% 0.09/0.25  % (4174201)Termination phase: Saturation
% 0.09/0.25  % (4174201)Time elapsed: 0.016 s
% 0.09/0.25  % (4174201)Peak memory usage: 12 MB
% 0.09/0.25  % (4174201)Instructions burned: 77 (million)
% 0.09/0.25  % (4174217)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
% 0.09/0.25  % (4174217)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.09/0.25  % (4174217)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2387228223:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.09/0.25  % (4174214)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1660696364:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.09/0.25  % (4174218)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=4050856645:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.09/0.25  % (4174219)lrs+10_1_si=on:cs=on:random_seed=3284249930:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.09/0.25  % (4174214)Instruction limit reached! 
% 0.09/0.25  % (4174214)------------------------------
% 0.09/0.25  % (4174214)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.25  % (4174214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.25  % (4174214)CaDiCaL version: 2.1.3
% 0.09/0.25  % (4174214)Termination reason: Instruction limit
% 0.09/0.25  % (4174214)Termination phase: Property scanning
% 0.09/0.25  % (4174214)Time elapsed: 0.004 s
% 0.09/0.25  % (4174214)Peak memory usage: 11 MB
% 0.09/0.25  % (4174214)Instructions burned: 19 (million)
% 0.60/0.28  % (4174219)Instruction limit reached! 
% 0.60/0.28  % (4174219)------------------------------
% 0.60/0.28  % (4174219)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.28  % (4174219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.28  % (4174219)CaDiCaL version: 2.1.3
% 0.60/0.28  % (4174219)Termination reason: Instruction limit
% 0.60/0.28  % (4174219)Termination phase: shuffling
% 0.60/0.28  % (4174219)Time elapsed: 0.002 s
% 0.60/0.28  % (4174219)Peak memory usage: 10 MB
% 0.60/0.28  % (4174219)Instructions burned: 9 (million)
% 0.60/0.28  % (4174202)Instruction limit reached! 
% 0.60/0.28  % (4174202)------------------------------
% 0.60/0.28  % (4174202)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.28  % (4174202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.28  % (4174202)CaDiCaL version: 2.1.3
% 0.60/0.28  % (4174202)Termination reason: Instruction limit
% 0.60/0.28  % (4174202)Termination phase: Saturation
% 0.60/0.28  % (4174202)Time elapsed: 0.033 s
% 0.60/0.28  % (4174202)Peak memory usage: 13 MB
% 0.60/0.28  % (4174202)Instructions burned: 157 (million)
% 0.60/0.28  % (4174217)Instruction limit reached! 
% 0.60/0.28  % (4174217)------------------------------
% 0.60/0.28  % (4174217)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.28  % (4174217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.28  % (4174217)CaDiCaL version: 2.1.3
% 0.60/0.28  % (4174217)Termination reason: Instruction limit
% 0.60/0.28  % (4174217)Termination phase: Property scanning
% 0.60/0.28  % (4174217)Time elapsed: 0.006 s
% 0.60/0.28  % (4174217)Peak memory usage: 11 MB
% 0.60/0.28  % (4174217)Instructions burned: 31 (million)
% 0.60/0.28  % (4174220)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.60/0.28  % (4174220)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=2464671012:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.60/0.28  % (4174220)Instruction limit reached! 
% 0.60/0.28  % (4174220)------------------------------
% 0.60/0.28  % (4174220)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.28  % (4174220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.28  % (4174220)CaDiCaL version: 2.1.3
% 0.60/0.28  % (4174220)Termination reason: Instruction limit
% 0.60/0.28  % (4174220)Termination phase: shuffling
% 0.60/0.28  % (4174220)Time elapsed: 0.001 s
% 0.60/0.28  % (4174220)Peak memory usage: 9 MB
% 0.60/0.28  % (4174220)Instructions burned: 2 (million)
% 0.60/0.28  % (4174225)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2542559005:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.60/0.28  % (4174227)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=916880648:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.60/0.28  % (4174228)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3128022529:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.60/0.28  % (4174226)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2782504247:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.60/0.28  % (4174218)Instruction limit reached! 
% 0.60/0.28  % (4174218)------------------------------
% 0.60/0.28  % (4174218)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.28  % (4174218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.28  % (4174218)CaDiCaL version: 2.1.3
% 0.60/0.28  % (4174218)Termination reason: Instruction limit
% 0.60/0.28  % (4174218)Termination phase: Saturation
% 0.60/0.28  % (4174218)Time elapsed: 0.019 s
% 0.60/0.28  % (4174218)Peak memory usage: 12 MB
% 0.60/0.28  % (4174218)Instructions burned: 86 (million)
% 0.60/0.28  % (4174228)Instruction limit reached! 
% 0.60/0.28  % (4174228)------------------------------
% 0.60/0.28  % (4174228)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.28  % (4174228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.28  % (4174228)CaDiCaL version: 2.1.3
% 0.60/0.28  % (4174228)Termination reason: Instruction limit
% 0.60/0.28  % (4174228)Termination phase: Property scanning
% 0.60/0.30  % (4174228)Time elapsed: 0.004 s
% 0.60/0.30  % (4174228)Peak memory usage: 10 MB
% 0.60/0.30  % (4174228)Instructions burned: 18 (million)
% 0.60/0.30  % (4174227)Instruction limit reached! 
% 0.60/0.30  % (4174227)------------------------------
% 0.60/0.30  % (4174227)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.30  % (4174227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.30  % (4174227)CaDiCaL version: 2.1.3
% 0.60/0.30  % (4174227)Termination reason: Instruction limit
% 0.60/0.30  % (4174227)Termination phase: Property scanning
% 0.60/0.30  % (4174227)Time elapsed: 0.005 s
% 0.60/0.30  % (4174227)Peak memory usage: 11 MB
% 0.60/0.30  % (4174227)Instructions burned: 25 (million)
% 0.60/0.30  % (4174225)Instruction limit reached! 
% 0.60/0.30  % (4174225)------------------------------
% 0.60/0.30  % (4174225)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.30  % (4174225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.30  % (4174225)CaDiCaL version: 2.1.3
% 0.60/0.30  % (4174225)Termination reason: Instruction limit
% 0.60/0.30  % (4174225)Termination phase: Saturation
% 0.60/0.30  % (4174225)Time elapsed: 0.008 s
% 0.60/0.30  % (4174225)Peak memory usage: 12 MB
% 0.60/0.30  % (4174225)Instructions burned: 40 (million)
% 0.60/0.30  % (4174230)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3248157507:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 0.60/0.30  % (4174236)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=4065176516:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.60/0.30  % (4174235)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=766307683:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/14Mi)
% 0.60/0.30  % (4174237)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2474764199:i=26:ep=R:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/26Mi)
% 0.60/0.30  % (4174238)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=4122175085:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/23Mi)
% 0.60/0.30  % (4174236)Instruction limit reached! 
% 0.60/0.30  % (4174236)------------------------------
% 0.60/0.30  % (4174236)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.30  % (4174236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.30  % (4174236)CaDiCaL version: 2.1.3
% 0.60/0.30  % (4174236)Termination reason: Instruction limit
% 0.60/0.30  % (4174236)Termination phase: SInE selection
% 0.60/0.30  % (4174236)Time elapsed: 0.003 s
% 0.60/0.30  % (4174236)Peak memory usage: 10 MB
% 0.60/0.30  % (4174236)Instructions burned: 15 (million)
% 0.60/0.30  % (4174235)Instruction limit reached! 
% 0.60/0.30  % (4174235)------------------------------
% 0.60/0.30  % (4174235)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.30  % (4174235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.30  % (4174235)CaDiCaL version: 2.1.3
% 0.60/0.30  % (4174235)Termination reason: Instruction limit
% 0.60/0.30  % (4174235)Termination phase: Property scanning
% 0.60/0.30  % (4174235)Time elapsed: 0.006 s
% 0.60/0.30  % (4174235)Peak memory usage: 10 MB
% 0.60/0.30  % (4174235)Instructions burned: 15 (million)
% 0.60/0.30  % (4174238)Instruction limit reached! 
% 0.60/0.30  % (4174238)------------------------------
% 0.60/0.30  % (4174238)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.30  % (4174238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.30  % (4174238)CaDiCaL version: 2.1.3
% 0.60/0.30  % (4174238)Termination reason: Instruction limit
% 0.60/0.30  % (4174238)Termination phase: Property scanning
% 0.60/0.30  % (4174238)Time elapsed: 0.005 s
% 0.60/0.30  % (4174238)Peak memory usage: 11 MB
% 0.60/0.30  % (4174238)Instructions burned: 26 (million)
% 0.60/0.30  % (4174237)Instruction limit reached! 
% 0.60/0.30  % (4174237)------------------------------
% 0.60/0.30  % (4174237)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.30  % (4174237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.30  % (4174237)CaDiCaL version: 2.1.3
% 0.60/0.30  % (4174237)Termination reason: Instruction limit
% 0.60/0.30  % (4174237)Termination phase: Property scanning
% 0.60/0.30  % (4174237)Time elapsed: 0.006 s
% 0.60/0.33  % (4174237)Peak memory usage: 10 MB
% 0.60/0.33  % (4174237)Instructions burned: 30 (million)
% 0.60/0.33  % (4174246)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 0.60/0.33  % (4174226)Refutation not found, incomplete strategy
% 0.60/0.33  % (4174226)------------------------------
% 0.60/0.33  % (4174226)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.33  % (4174226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.33  % (4174226)CaDiCaL version: 2.1.3
% 0.60/0.33  % (4174226)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.33  % (4174226)Time elapsed: 0.029 s
% 0.60/0.33  % (4174226)Peak memory usage: 13 MB
% 0.60/0.33  % (4174226)Instructions burned: 70 (million)
% 0.60/0.33  % (4174226)------------------------------
% 0.60/0.33  % (4174226)------------------------------
% 0.60/0.33  % (4174246)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=3155448614:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.60/0.33  % (4174247)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=2487412039:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2999 on theBenchmark for (2999ds/31Mi)
% 0.60/0.33  % (4174246)Instruction limit reached! 
% 0.60/0.33  % (4174246)------------------------------
% 0.60/0.33  % (4174246)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.33  % (4174246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.33  % (4174246)CaDiCaL version: 2.1.3
% 0.60/0.33  % (4174246)Termination reason: Instruction limit
% 0.60/0.33  % (4174246)Termination phase: Property scanning
% 0.60/0.33  % (4174246)Time elapsed: 0.002 s
% 0.60/0.33  % (4174246)Peak memory usage: 10 MB
% 0.60/0.33  % (4174246)Instructions burned: 9 (million)
% 0.60/0.33  % (4174244)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2259734551:cond=on:i=60:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/60Mi)
% 0.60/0.33  % (4174247)Instruction limit reached! 
% 0.60/0.33  % (4174247)------------------------------
% 0.60/0.33  % (4174247)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.33  % (4174247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.33  % (4174247)CaDiCaL version: 2.1.3
% 0.60/0.33  % (4174247)Termination reason: Instruction limit
% 0.60/0.33  % (4174247)Termination phase: Saturation
% 0.60/0.33  % (4174247)Time elapsed: 0.007 s
% 0.60/0.33  % (4174247)Peak memory usage: 12 MB
% 0.60/0.33  % (4174247)Instructions burned: 31 (million)
% 0.60/0.33  % (4174245)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
% 0.60/0.33  % (4174245)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.60/0.33  % (4174245)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=4067967561:i=14:add=off:nm=40:rtra=on:rawr=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.60/0.33  % (4174250)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2130393145:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 0.60/0.33  % (4174251)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1104132972:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.60/0.33  % (4174250)Instruction limit reached! 
% 0.60/0.33  % (4174250)------------------------------
% 0.60/0.33  % (4174250)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.33  % (4174250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.33  % (4174250)CaDiCaL version: 2.1.3
% 0.60/0.33  % (4174250)Termination reason: Instruction limit
% 0.60/0.33  % (4174250)Termination phase: Property scanning
% 0.60/0.33  % (4174250)Time elapsed: 0.003 s
% 0.60/0.33  % (4174250)Peak memory usage: 10 MB
% 0.60/0.33  % (4174250)Instructions burned: 15 (million)
% 0.60/0.33  % (4174245)Instruction limit reached! 
% 0.60/0.33  % (4174245)------------------------------
% 0.60/0.33  % (4174245)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.36  % (4174245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.36  % (4174245)CaDiCaL version: 2.1.3
% 1.28/0.36  % (4174245)Termination reason: Instruction limit
% 1.28/0.36  % (4174245)Termination phase: Function definition elimination
% 1.28/0.36  % (4174245)Time elapsed: 0.007 s
% 1.28/0.36  % (4174245)Peak memory usage: 10 MB
% 1.28/0.36  % (4174245)Instructions burned: 17 (million)
% 1.28/0.36  % (4174251)Instruction limit reached! 
% 1.28/0.36  % (4174251)------------------------------
% 1.28/0.36  % (4174251)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.36  % (4174251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.36  % (4174251)CaDiCaL version: 2.1.3
% 1.28/0.36  % (4174251)Termination reason: Instruction limit
% 1.28/0.36  % (4174251)Termination phase: Property scanning
% 1.28/0.36  % (4174251)Time elapsed: 0.006 s
% 1.28/0.36  % (4174251)Peak memory usage: 10 MB
% 1.28/0.36  % (4174251)Instructions burned: 27 (million)
% 1.28/0.36  % (4174253)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=4060072717:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.28/0.36  % (4174253)Instruction limit reached! 
% 1.28/0.36  % (4174253)------------------------------
% 1.28/0.36  % (4174253)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.36  % (4174253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.36  % (4174253)CaDiCaL version: 2.1.3
% 1.28/0.36  % (4174253)Termination reason: Instruction limit
% 1.28/0.36  % (4174253)Termination phase: Property scanning
% 1.28/0.36  % (4174253)Time elapsed: 0.005 s
% 1.28/0.36  % (4174253)Peak memory usage: 11 MB
% 1.28/0.36  % (4174253)Instructions burned: 23 (million)
% 1.28/0.36  % (4174257)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3381229740:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.28/0.36  % (4174244)Instruction limit reached! 
% 1.28/0.36  % (4174244)------------------------------
% 1.28/0.36  % (4174244)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.36  % (4174244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.36  % (4174244)CaDiCaL version: 2.1.3
% 1.28/0.36  % (4174244)Termination reason: Instruction limit
% 1.28/0.36  % (4174244)Termination phase: Saturation
% 1.28/0.36  % (4174244)Time elapsed: 0.023 s
% 1.28/0.36  % (4174244)Peak memory usage: 13 MB
% 1.28/0.36  % (4174244)Instructions burned: 60 (million)
% 1.28/0.36  % (4174259)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=1284193956:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.28/0.36  % (4174258)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3901044518:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.28/0.36  % (4174261)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=71341828:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 1.28/0.36  % (4174263)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.28/0.36  % (4174263)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2136230018:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 1.28/0.36  % (4174230)Refutation not found, incomplete strategy
% 1.28/0.36  % (4174230)------------------------------
% 1.28/0.36  % (4174230)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.36  % (4174230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.36  % (4174230)CaDiCaL version: 2.1.3
% 1.28/0.36  % (4174230)Termination reason: Refutation not found, incomplete strategy
% 1.28/0.36  % (4174230)Time elapsed: 0.060 s
% 1.28/0.36  % (4174230)Peak memory usage: 14 MB
% 1.28/0.36  % (4174230)Instructions burned: 153 (million)
% 1.28/0.36  % (4174230)------------------------------
% 1.28/0.36  % (4174230)------------------------------
% 1.28/0.36  % (4174263)Instruction limit reached! 
% 1.28/0.36  % (4174263)------------------------------
% 1.28/0.36  % (4174263)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.36  % (4174263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.36  % (4174263)CaDiCaL version: 2.1.3
% 1.28/0.36  % (4174263)Termination reason: Instruction limit
% 1.28/0.40  % (4174263)Termination phase: Property scanning
% 1.28/0.40  % (4174263)Time elapsed: 0.002 s
% 1.28/0.40  % (4174263)Peak memory usage: 10 MB
% 1.28/0.40  % (4174263)Instructions burned: 11 (million)
% 1.28/0.40  % (4174261)Instruction limit reached! 
% 1.28/0.40  % (4174261)------------------------------
% 1.28/0.40  % (4174261)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.40  % (4174261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.40  % (4174261)CaDiCaL version: 2.1.3
% 1.28/0.40  % (4174261)Termination reason: Instruction limit
% 1.28/0.40  % (4174261)Termination phase: Saturation
% 1.28/0.40  % (4174261)Time elapsed: 0.009 s
% 1.28/0.40  % (4174261)Peak memory usage: 12 MB
% 1.28/0.40  % (4174261)Instructions burned: 45 (million)
% 1.28/0.40  % (4174268)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=742049039:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/181Mi)
% 1.28/0.40  % (4174270)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 1.28/0.40  % (4174270)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=2104438134:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2998 on theBenchmark for (2998ds/6Mi)
% 1.28/0.40  % (4174270)Instruction limit reached! 
% 1.28/0.40  % (4174270)------------------------------
% 1.28/0.40  % (4174270)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.40  % (4174270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.40  % (4174270)CaDiCaL version: 2.1.3
% 1.28/0.40  % (4174270)Termination reason: Instruction limit
% 1.28/0.40  % (4174270)Termination phase: Property scanning
% 1.28/0.40  % (4174270)Time elapsed: 0.002 s
% 1.28/0.40  % (4174270)Peak memory usage: 10 MB
% 1.28/0.40  % (4174270)Instructions burned: 9 (million)
% 1.28/0.40  % (4174269)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=9478830:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/169Mi)
% 1.28/0.40  % (4174259)Refutation not found, incomplete strategy
% 1.28/0.40  % (4174259)------------------------------
% 1.28/0.40  % (4174259)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.40  % (4174259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.40  % (4174259)CaDiCaL version: 2.1.3
% 1.28/0.40  % (4174259)Termination reason: Refutation not found, incomplete strategy
% 1.28/0.40  % (4174259)Time elapsed: 0.032 s
% 1.28/0.40  % (4174259)Peak memory usage: 14 MB
% 1.28/0.40  % (4174259)Instructions burned: 93 (million)
% 1.28/0.40  % (4174258)Instruction limit reached! 
% 1.28/0.40  % (4174258)------------------------------
% 1.28/0.40  % (4174258)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.40  % (4174258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.40  % (4174258)CaDiCaL version: 2.1.3
% 1.28/0.40  % (4174258)Termination reason: Instruction limit
% 1.28/0.40  % (4174258)Termination phase: Saturation
% 1.28/0.40  % (4174258)Time elapsed: 0.030 s
% 1.28/0.40  % (4174258)Peak memory usage: 13 MB
% 1.28/0.40  % (4174258)Instructions burned: 147 (million)
% 1.28/0.40  % (4174259)------------------------------
% 1.28/0.40  % (4174259)------------------------------
% 1.28/0.40  % (4174273)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1322747006:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2998 on theBenchmark for (2998ds/22Mi)
% 1.28/0.40  % (4174275)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1865551135:i=19:add=on:rtra=on_2998 on theBenchmark for (2998ds/19Mi)
% 1.28/0.40  % (4174276)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=2386966204:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/316Mi)
% 1.28/0.40  % (4174273)Instruction limit reached! 
% 1.28/0.40  % (4174273)------------------------------
% 1.28/0.40  % (4174273)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.40  % (4174273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.40  % (4174273)CaDiCaL version: 2.1.3
% 1.28/0.40  % (4174273)Termination reason: Instruction limit
% 1.28/0.45  % (4174273)Termination phase: Property scanning
% 1.28/0.45  % (4174273)Time elapsed: 0.005 s
% 1.28/0.45  % (4174273)Peak memory usage: 11 MB
% 1.28/0.45  % (4174273)Instructions burned: 26 (million)
% 1.28/0.45  % (4174275)Instruction limit reached! 
% 1.28/0.45  % (4174275)------------------------------
% 1.28/0.45  % (4174275)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.45  % (4174275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.45  % (4174275)CaDiCaL version: 2.1.3
% 1.28/0.45  % (4174275)Termination reason: Instruction limit
% 1.28/0.45  % (4174275)Termination phase: Property scanning
% 1.28/0.45  % (4174275)Time elapsed: 0.005 s
% 1.28/0.45  % (4174275)Peak memory usage: 10 MB
% 1.28/0.45  % (4174275)Instructions burned: 24 (million)
% 1.28/0.45  % (4174280)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=2986016910:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2998 on theBenchmark for (2998ds/853Mi)
% 1.28/0.45  % (4174268)Refutation not found, incomplete strategy
% 1.28/0.45  % (4174268)------------------------------
% 1.28/0.45  % (4174268)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.45  % (4174268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.45  % (4174268)CaDiCaL version: 2.1.3
% 1.28/0.45  % (4174268)Termination reason: Refutation not found, incomplete strategy
% 1.28/0.45  % (4174268)Time elapsed: 0.037 s
% 1.28/0.45  % (4174268)Peak memory usage: 14 MB
% 1.28/0.45  % (4174268)Instructions burned: 168 (million)
% 1.28/0.45  % (4174268)------------------------------
% 1.28/0.45  % (4174268)------------------------------
% 1.28/0.45  % (4174269)Refutation not found, incomplete strategy
% 1.28/0.45  % (4174269)------------------------------
% 1.28/0.45  % (4174269)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.45  % (4174269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.45  % (4174269)CaDiCaL version: 2.1.3
% 1.28/0.45  % (4174269)Termination reason: Refutation not found, incomplete strategy
% 1.28/0.45  % (4174269)Time elapsed: 0.030 s
% 1.28/0.45  % (4174269)Peak memory usage: 13 MB
% 1.28/0.45  % (4174269)Instructions burned: 127 (million)
% 1.28/0.45  % (4174269)------------------------------
% 1.28/0.45  % (4174269)------------------------------
% 1.28/0.45  % (4174281)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=3577769994:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2998 on theBenchmark for (2998ds/45Mi)
% 1.28/0.45  % (4174283)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=3794264374:i=480:rtra=on_2998 on theBenchmark for (2998ds/480Mi)
% 1.28/0.45  % (4174284)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=2071504861:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2998 on theBenchmark for (2998ds/21Mi)
% 1.28/0.45  % (4174199)Instruction limit reached! 
% 1.28/0.45  % (4174199)------------------------------
% 1.28/0.45  % (4174199)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.45  % (4174199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.45  % (4174199)CaDiCaL version: 2.1.3
% 1.28/0.45  % (4174199)Termination reason: Instruction limit
% 1.28/0.45  % (4174199)Termination phase: Saturation
% 1.28/0.45  % (4174199)Time elapsed: 0.181 s
% 1.28/0.45  % (4174199)Peak memory usage: 15 MB
% 1.28/0.45  % (4174199)Instructions burned: 634 (million)
% 1.28/0.45  % (4174281)Instruction limit reached! 
% 1.28/0.45  % (4174281)------------------------------
% 1.28/0.45  % (4174281)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.45  % (4174281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.45  % (4174281)CaDiCaL version: 2.1.3
% 1.28/0.45  % (4174281)Termination reason: Instruction limit
% 1.28/0.45  % (4174281)Termination phase: Saturation
% 1.28/0.45  % (4174281)Time elapsed: 0.010 s
% 1.28/0.45  % (4174281)Peak memory usage: 12 MB
% 1.28/0.45  % (4174281)Instructions burned: 48 (million)
% 1.28/0.45  % (4174284)Instruction limit reached! 
% 1.28/0.45  % (4174284)------------------------------
% 1.28/0.45  % (4174284)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.45  % (4174284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.49  % (4174284)CaDiCaL version: 2.1.3
% 1.99/0.49  % (4174284)Termination reason: Instruction limit
% 1.99/0.49  % (4174284)Termination phase: Property scanning
% 1.99/0.49  % (4174284)Time elapsed: 0.005 s
% 1.99/0.49  % (4174284)Peak memory usage: 11 MB
% 1.99/0.49  % (4174284)Instructions burned: 24 (million)
% 1.99/0.49  % (4174283)Refutation not found, incomplete strategy
% 1.99/0.49  % (4174283)------------------------------
% 1.99/0.49  % (4174283)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.49  % (4174283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.49  % (4174283)CaDiCaL version: 2.1.3
% 1.99/0.49  % (4174283)Termination reason: Refutation not found, incomplete strategy
% 1.99/0.49  % (4174283)Time elapsed: 0.010 s
% 1.99/0.49  % (4174283)Peak memory usage: 13 MB
% 1.99/0.49  % (4174283)Instructions burned: 45 (million)
% 1.99/0.49  % (4174288)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 1.99/0.49  % (4174283)------------------------------
% 1.99/0.49  % (4174283)------------------------------
% 1.99/0.49  % (4174288)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=2100004394:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/200Mi)
% 1.99/0.49  % (4174289)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2790952202:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/13Mi)
% 1.99/0.49  % (4174290)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=611631801:i=66:s2at=3:nm=2:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/66Mi)
% 1.99/0.49  % (4174289)Instruction limit reached! 
% 1.99/0.49  % (4174289)------------------------------
% 1.99/0.49  % (4174289)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.49  % (4174289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.49  % (4174289)CaDiCaL version: 2.1.3
% 1.99/0.49  % (4174289)Termination reason: Instruction limit
% 1.99/0.49  % (4174289)Termination phase: Property scanning
% 1.99/0.49  % (4174289)Time elapsed: 0.003 s
% 1.99/0.49  % (4174289)Peak memory usage: 10 MB
% 1.99/0.49  % (4174289)Instructions burned: 13 (million)
% 1.99/0.49  % (4174291)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=1472536763:i=51:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/51Mi)
% 1.99/0.49  % (4174295)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=1257289816:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/31Mi)
% 1.99/0.49  % (4174290)Instruction limit reached! 
% 1.99/0.49  % (4174290)------------------------------
% 1.99/0.49  % (4174290)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.49  % (4174290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.49  % (4174290)CaDiCaL version: 2.1.3
% 1.99/0.49  % (4174290)Termination reason: Instruction limit
% 1.99/0.49  % (4174290)Termination phase: Saturation
% 1.99/0.49  % (4174290)Time elapsed: 0.015 s
% 1.99/0.49  % (4174290)Peak memory usage: 12 MB
% 1.99/0.49  % (4174290)Instructions burned: 70 (million)
% 1.99/0.49  % (4174291)Instruction limit reached! 
% 1.99/0.49  % (4174291)------------------------------
% 1.99/0.49  % (4174291)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.49  % (4174291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.49  % (4174291)CaDiCaL version: 2.1.3
% 1.99/0.49  % (4174291)Termination reason: Instruction limit
% 1.99/0.49  % (4174291)Termination phase: Saturation
% 1.99/0.49  % (4174291)Time elapsed: 0.012 s
% 1.99/0.49  % (4174291)Peak memory usage: 12 MB
% 1.99/0.49  % (4174291)Instructions burned: 54 (million)
% 1.99/0.49  % (4174295)Instruction limit reached! 
% 1.99/0.49  % (4174295)------------------------------
% 1.99/0.49  % (4174295)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.49  % (4174295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.49  % (4174295)CaDiCaL version: 2.1.3
% 1.99/0.49  % (4174295)Termination reason: Instruction limit
% 1.99/0.49  % (4174295)Termination phase: Property scanning
% 1.99/0.49  % (4174295)Time elapsed: 0.007 s
% 1.99/0.49  % (4174295)Peak memory usage: 10 MB
% 1.99/0.49  % (4174295)Instructions burned: 31 (million)
% 1.99/0.49  % (4174298)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=3021392166:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2997 on theBenchmark for (2997ds/137Mi)
% 1.99/0.54  % (4174299)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=3899267011:cond=on:i=34:hud=10:nm=10:rtra=on_2997 on theBenchmark for (2997ds/34Mi)
% 1.99/0.54  % (4174300)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=1956536609:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2997 on theBenchmark for (2997ds/67Mi)
% 1.99/0.54  % (4174299)Instruction limit reached! 
% 1.99/0.54  % (4174299)------------------------------
% 1.99/0.54  % (4174299)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.54  % (4174299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.54  % (4174299)CaDiCaL version: 2.1.3
% 1.99/0.54  % (4174299)Termination reason: Instruction limit
% 1.99/0.54  % (4174299)Termination phase: Saturation
% 1.99/0.54  % (4174299)Time elapsed: 0.008 s
% 1.99/0.54  % (4174299)Peak memory usage: 11 MB
% 1.99/0.54  % (4174299)Instructions burned: 38 (million)
% 1.99/0.54  % (4174304)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 1.99/0.54  % (4174300)Instruction limit reached! 
% 1.99/0.54  % (4174300)------------------------------
% 1.99/0.54  % (4174300)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.54  % (4174300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.54  % (4174300)CaDiCaL version: 2.1.3
% 1.99/0.54  % (4174300)Termination reason: Instruction limit
% 1.99/0.54  % (4174300)Termination phase: Saturation
% 1.99/0.54  % (4174300)Time elapsed: 0.014 s
% 1.99/0.54  % (4174300)Peak memory usage: 12 MB
% 1.99/0.54  % (4174300)Instructions burned: 67 (million)
% 1.99/0.54  % (4174304)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=399971198:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2997 on theBenchmark for (2997ds/180Mi)
% 1.99/0.54  % (4174288)Instruction limit reached! 
% 1.99/0.54  % (4174288)------------------------------
% 1.99/0.54  % (4174288)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.54  % (4174288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.54  % (4174288)CaDiCaL version: 2.1.3
% 1.99/0.54  % (4174288)Termination reason: Instruction limit
% 1.99/0.54  % (4174288)Termination phase: Saturation
% 1.99/0.54  % (4174288)Time elapsed: 0.052 s
% 1.99/0.54  % (4174288)Peak memory usage: 13 MB
% 1.99/0.54  % (4174288)Instructions burned: 202 (million)
% 1.99/0.54  % (4174276)Instruction limit reached! 
% 1.99/0.54  % (4174276)------------------------------
% 1.99/0.54  % (4174276)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.54  % (4174276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.54  % (4174276)CaDiCaL version: 2.1.3
% 1.99/0.54  % (4174276)Termination reason: Instruction limit
% 1.99/0.54  % (4174276)Termination phase: Saturation
% 1.99/0.54  % (4174276)Time elapsed: 0.092 s
% 1.99/0.54  % (4174276)Peak memory usage: 15 MB
% 1.99/0.54  % (4174276)Instructions burned: 318 (million)
% 1.99/0.54  % (4174305)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=1654388923:st=2:i=246:sd=3:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/246Mi)
% 1.99/0.54  % (4174308)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=1420302510:i=427:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/427Mi)
% 1.99/0.54  % (4174307)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=3277889295:cond=on:i=96:bd=all:rtra=on_2997 on theBenchmark for (2997ds/96Mi)
% 1.99/0.54  % (4174298)Instruction limit reached! 
% 1.99/0.54  % (4174298)------------------------------
% 1.99/0.54  % (4174298)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.54  % (4174298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.54  % (4174298)CaDiCaL version: 2.1.3
% 1.99/0.54  % (4174298)Termination reason: Instruction limit
% 1.99/0.54  % (4174298)Termination phase: Saturation
% 1.99/0.54  % (4174298)Time elapsed: 0.036 s
% 1.99/0.54  % (4174298)Peak memory usage: 13 MB
% 1.99/0.54  % (4174298)Instructions burned: 140 (million)
% 1.99/0.54  % (4174312)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=4213485529:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/874Mi)
% 1.99/0.54  % (4174308)Refutation not found, incomplete strategy
% 2.68/0.60  % (4174308)------------------------------
% 2.68/0.60  % (4174308)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.60  % (4174308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.60  % (4174308)CaDiCaL version: 2.1.3
% 2.68/0.60  % (4174308)Termination reason: Refutation not found, incomplete strategy
% 2.68/0.60  % (4174308)Time elapsed: 0.019 s
% 2.68/0.60  % (4174308)Peak memory usage: 13 MB
% 2.68/0.60  % (4174308)Instructions burned: 75 (million)
% 2.68/0.60  % (4174308)------------------------------
% 2.68/0.60  % (4174308)------------------------------
% 2.68/0.60  % (4174307)Instruction limit reached! 
% 2.68/0.60  % (4174307)------------------------------
% 2.68/0.60  % (4174307)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.60  % (4174307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.60  % (4174307)CaDiCaL version: 2.1.3
% 2.68/0.60  % (4174307)Termination reason: Instruction limit
% 2.68/0.60  % (4174307)Termination phase: Saturation
% 2.68/0.60  % (4174307)Time elapsed: 0.020 s
% 2.68/0.61  % (4174307)Peak memory usage: 12 MB
% 2.68/0.61  % (4174307)Instructions burned: 97 (million)
% 2.68/0.61  % (4174304)Instruction limit reached! 
% 2.68/0.61  % (4174304)------------------------------
% 2.68/0.61  % (4174304)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.61  % (4174304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.61  % (4174304)CaDiCaL version: 2.1.3
% 2.68/0.61  % (4174304)Termination reason: Instruction limit
% 2.68/0.61  % (4174304)Termination phase: Saturation
% 2.68/0.61  % (4174304)Time elapsed: 0.040 s
% 2.68/0.61  % (4174304)Peak memory usage: 13 MB
% 2.68/0.61  % (4174304)Instructions burned: 182 (million)
% 2.68/0.61  % (4174305)Refutation not found, incomplete strategy
% 2.68/0.61  % (4174305)------------------------------
% 2.68/0.61  % (4174305)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.61  % (4174305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.61  % (4174305)CaDiCaL version: 2.1.3
% 2.68/0.61  % (4174305)Termination reason: Refutation not found, incomplete strategy
% 2.68/0.61  % (4174305)Time elapsed: 0.034 s
% 2.68/0.61  % (4174305)Peak memory usage: 14 MB
% 2.68/0.61  % (4174305)Instructions burned: 149 (million)
% 2.68/0.61  % (4174305)------------------------------
% 2.68/0.61  % (4174305)------------------------------
% 2.68/0.61  % (4174315)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=1679868825:st=1.5:i=130:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/130Mi)
% 2.68/0.61  % (4174314)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=274954469:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/515Mi)
% 2.68/0.61  % (4174316)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3922517118:i=44:ep=R:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/44Mi)
% 2.68/0.61  % (4174318)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=2112363843:s2a=on:i=571:nm=16:rtra=on_2996 on theBenchmark for (2996ds/571Mi)
% 2.68/0.61  % (4174312)Refutation not found, incomplete strategy
% 2.68/0.61  % (4174312)------------------------------
% 2.68/0.61  % (4174312)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.61  % (4174312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.61  % (4174312)CaDiCaL version: 2.1.3
% 2.68/0.61  % (4174312)Termination reason: Refutation not found, incomplete strategy
% 2.68/0.61  % (4174312)Time elapsed: 0.034 s
% 2.68/0.61  % (4174312)Peak memory usage: 14 MB
% 2.68/0.61  % (4174312)Instructions burned: 153 (million)
% 2.68/0.61  % (4174312)------------------------------
% 2.68/0.61  % (4174312)------------------------------
% 2.68/0.61  % (4174316)Instruction limit reached! 
% 2.68/0.61  % (4174316)------------------------------
% 2.68/0.61  % (4174316)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.61  % (4174316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.61  % (4174316)CaDiCaL version: 2.1.3
% 2.68/0.61  % (4174316)Termination reason: Instruction limit
% 2.68/0.61  % (4174316)Termination phase: Saturation
% 2.68/0.61  % (4174316)Time elapsed: 0.009 s
% 2.68/0.61  % (4174316)Peak memory usage: 11 MB
% 2.68/0.61  % (4174316)Instructions burned: 44 (million)
% 2.68/0.61  % (4174318)Refutation not found, incomplete strategy
% 3.08/0.65  % (4174318)------------------------------
% 3.08/0.65  % (4174318)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.08/0.65  % (4174318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.08/0.65  % (4174318)CaDiCaL version: 2.1.3
% 3.08/0.65  % (4174318)Termination reason: Refutation not found, incomplete strategy
% 3.08/0.65  % (4174318)Time elapsed: 0.011 s
% 3.08/0.65  % (4174318)Peak memory usage: 13 MB
% 3.08/0.65  % (4174318)Instructions burned: 46 (million)
% 3.08/0.65  % (4174318)------------------------------
% 3.08/0.65  % (4174318)------------------------------
% 3.08/0.65  % (4174323)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=165414774:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/95Mi)
% 3.08/0.65  % (4174322)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=3817081316:i=450:rtra=on:ixr=off:ntd=on_2996 on theBenchmark for (2996ds/450Mi)
% 3.08/0.65  % (4174315)Instruction limit reached! 
% 3.08/0.65  % (4174315)------------------------------
% 3.08/0.65  % (4174315)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.08/0.65  % (4174315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.08/0.65  % (4174315)CaDiCaL version: 2.1.3
% 3.08/0.65  % (4174315)Termination reason: Instruction limit
% 3.08/0.65  % (4174315)Termination phase: Saturation
% 3.08/0.65  % (4174315)Time elapsed: 0.033 s
% 3.08/0.65  % (4174315)Peak memory usage: 12 MB
% 3.08/0.65  % (4174315)Instructions burned: 131 (million)
% 3.08/0.65  % (4174324)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=1970055284:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2996 on theBenchmark for (2996ds/65Mi)
% 3.08/0.65  % (4174323)Instruction limit reached! 
% 3.08/0.65  % (4174323)------------------------------
% 3.08/0.65  % (4174323)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.08/0.65  % (4174323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.08/0.65  % (4174323)CaDiCaL version: 2.1.3
% 3.08/0.65  % (4174323)Termination reason: Instruction limit
% 3.08/0.65  % (4174323)Termination phase: Saturation
% 3.08/0.65  % (4174323)Time elapsed: 0.021 s
% 3.08/0.65  % (4174323)Peak memory usage: 12 MB
% 3.08/0.65  % (4174323)Instructions burned: 99 (million)
% 3.08/0.65  % (4174324)Instruction limit reached! 
% 3.08/0.65  % (4174324)------------------------------
% 3.08/0.65  % (4174324)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.08/0.65  % (4174324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.08/0.65  % (4174324)CaDiCaL version: 2.1.3
% 3.08/0.65  % (4174324)Termination reason: Instruction limit
% 3.08/0.65  % (4174324)Termination phase: Saturation
% 3.08/0.65  % (4174324)Time elapsed: 0.017 s
% 3.08/0.65  % (4174324)Peak memory usage: 12 MB
% 3.08/0.65  % (4174324)Instructions burned: 65 (million)
% 3.08/0.65  % (4174314)Refutation not found, incomplete strategy
% 3.08/0.65  % (4174314)------------------------------
% 3.08/0.65  % (4174314)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.08/0.65  % (4174314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.08/0.65  % (4174314)CaDiCaL version: 2.1.3
% 3.08/0.65  % (4174314)Termination reason: Refutation not found, incomplete strategy
% 3.08/0.65  % (4174314)Time elapsed: 0.050 s
% 3.08/0.65  % (4174314)Peak memory usage: 14 MB
% 3.08/0.65  % (4174314)Instructions burned: 225 (million)
% 3.08/0.65  % (4174314)------------------------------
% 3.08/0.65  % (4174314)------------------------------
% 3.08/0.65  % (4174327)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=2053179934: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_2996 on theBenchmark for (2996ds/105Mi)
% 3.08/0.65  % (4174329)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=951512865:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2996 on theBenchmark for (2996ds/5755Mi)
% 3.08/0.65  % (4174331)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1019279563:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2996 on theBenchmark for (2996ds/495Mi)
% 3.08/0.65  % (4174330)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=2423152232:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/375Mi)
% 3.31/0.73  % (4174327)Instruction limit reached! 
% 3.31/0.73  % (4174327)------------------------------
% 3.31/0.73  % (4174327)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.31/0.73  % (4174327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.31/0.73  % (4174327)CaDiCaL version: 2.1.3
% 3.31/0.73  % (4174327)Termination reason: Instruction limit
% 3.31/0.73  % (4174327)Termination phase: Saturation
% 3.31/0.73  % (4174327)Time elapsed: 0.034 s
% 3.31/0.73  % (4174327)Peak memory usage: 12 MB
% 3.31/0.73  % (4174327)Instructions burned: 108 (million)
% 3.31/0.73  % (4174336)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=575095797:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 3.31/0.73  % (4174280)Instruction limit reached! 
% 3.31/0.73  % (4174280)------------------------------
% 3.31/0.73  % (4174280)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.31/0.73  % (4174280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.31/0.73  % (4174280)CaDiCaL version: 2.1.3
% 3.31/0.73  % (4174280)Termination reason: Instruction limit
% 3.31/0.73  % (4174280)Termination phase: Saturation
% 3.31/0.73  % (4174280)Time elapsed: 0.234 s
% 3.31/0.73  % (4174280)Peak memory usage: 16 MB
% 3.31/0.73  % (4174280)Instructions burned: 854 (million)
% 3.31/0.73  % (4174330)Refutation not found, incomplete strategy
% 3.31/0.73  % (4174330)------------------------------
% 3.31/0.73  % (4174330)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.31/0.73  % (4174330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.31/0.73  % (4174330)CaDiCaL version: 2.1.3
% 3.31/0.73  % (4174330)Termination reason: Refutation not found, incomplete strategy
% 3.31/0.73  % (4174330)Time elapsed: 0.038 s
% 3.31/0.73  % (4174330)Peak memory usage: 13 MB
% 3.31/0.73  % (4174330)Instructions burned: 151 (million)
% 3.31/0.73  % (4174330)------------------------------
% 3.31/0.73  % (4174330)------------------------------
% 3.31/0.73  % (4174336)Instruction limit reached! 
% 3.31/0.73  % (4174336)------------------------------
% 3.31/0.73  % (4174336)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.31/0.73  % (4174336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.31/0.73  % (4174336)CaDiCaL version: 2.1.3
% 3.31/0.73  % (4174336)Termination reason: Instruction limit
% 3.31/0.73  % (4174336)Termination phase: Saturation
% 3.31/0.73  % (4174336)Time elapsed: 0.009 s
% 3.31/0.73  % (4174336)Peak memory usage: 11 MB
% 3.31/0.73  % (4174336)Instructions burned: 41 (million)
% 3.31/0.73  % (4174338)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=3354013862:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2995 on theBenchmark for (2995ds/91Mi)
% 3.31/0.73  % (4174339)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=2715908637:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2995 on theBenchmark for (2995ds/66Mi)
% 3.31/0.73  % (4174340)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2923554537:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2995 on theBenchmark for (2995ds/22Mi)
% 3.31/0.73  % (4174340)Instruction limit reached! 
% 3.31/0.73  % (4174340)------------------------------
% 3.31/0.73  % (4174340)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.31/0.73  % (4174340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.31/0.73  % (4174340)CaDiCaL version: 2.1.3
% 3.31/0.73  % (4174340)Termination reason: Instruction limit
% 3.31/0.73  % (4174340)Termination phase: Property scanning
% 3.31/0.73  % (4174340)Time elapsed: 0.009 s
% 3.31/0.73  % (4174340)Peak memory usage: 11 MB
% 3.31/0.73  % (4174340)Instructions burned: 25 (million)
% 3.31/0.73  % (4174339)Instruction limit reached! 
% 3.31/0.73  % (4174339)------------------------------
% 3.31/0.73  % (4174339)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.31/0.73  % (4174339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.31/0.73  % (4174339)CaDiCaL version: 2.1.3
% 3.31/0.73  % (4174339)Termination reason: Instruction limit
% 3.31/0.73  % (4174339)Termination phase: Saturation
% 3.31/0.73  % (4174339)Time elapsed: 0.014 s
% 3.31/0.73  % (4174339)Peak memory usage: 12 MB
% 3.31/0.79  % (4174339)Instructions burned: 67 (million)
% 3.31/0.79  % (4174344)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=398600744:i=338:bd=all:ins=4:rtra=on_2995 on theBenchmark for (2995ds/338Mi)
% 3.31/0.79  % (4174257)Instruction limit reached! 
% 3.31/0.79  % (4174257)------------------------------
% 3.31/0.79  % (4174257)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.31/0.79  % (4174257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.31/0.79  % (4174257)CaDiCaL version: 2.1.3
% 3.31/0.79  % (4174257)Termination reason: Instruction limit
% 3.31/0.79  % (4174257)Termination phase: Saturation
% 3.31/0.79  % (4174257)Time elapsed: 0.330 s
% 3.31/0.79  % (4174257)Peak memory usage: 15 MB
% 3.31/0.79  % (4174257)Instructions burned: 1242 (million)
% 3.31/0.79  % (4174338)Instruction limit reached! 
% 3.31/0.79  % (4174338)------------------------------
% 3.31/0.79  % (4174338)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.31/0.79  % (4174338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.31/0.79  % (4174338)CaDiCaL version: 2.1.3
% 3.31/0.79  % (4174338)Termination reason: Instruction limit
% 3.31/0.79  % (4174338)Termination phase: Saturation
% 3.31/0.79  % (4174338)Time elapsed: 0.028 s
% 3.31/0.79  % (4174338)Peak memory usage: 13 MB
% 3.31/0.79  % (4174338)Instructions burned: 92 (million)
% 3.31/0.79  % (4174345)lrs+10_1_sil=128000:si=on:urr=on:random_seed=3703270216:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2995 on theBenchmark for (2995ds/28Mi)
% 3.31/0.79  % (4174347)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 3.31/0.79  % (4174322)Instruction limit reached! 
% 3.31/0.79  % (4174322)------------------------------
% 3.31/0.79  % (4174322)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.31/0.79  % (4174322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.31/0.79  % (4174322)CaDiCaL version: 2.1.3
% 3.31/0.79  % (4174322)Termination reason: Instruction limit
% 3.31/0.79  % (4174322)Termination phase: Saturation
% 3.31/0.79  % (4174322)Time elapsed: 0.129 s
% 3.31/0.79  % (4174322)Peak memory usage: 15 MB
% 3.31/0.79  % (4174322)Instructions burned: 455 (million)
% 3.31/0.79  % (4174345)Instruction limit reached! 
% 3.31/0.79  % (4174345)------------------------------
% 3.31/0.79  % (4174345)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.31/0.79  % (4174345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.31/0.79  % (4174345)CaDiCaL version: 2.1.3
% 3.31/0.79  % (4174345)Termination reason: Instruction limit
% 3.31/0.79  % (4174345)Termination phase: Property scanning
% 3.31/0.79  % (4174345)Time elapsed: 0.006 s
% 3.31/0.79  % (4174345)Peak memory usage: 11 MB
% 3.31/0.79  % (4174345)Instructions burned: 31 (million)
% 3.31/0.79  % (4174347)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=970244201:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2995 on theBenchmark for (2995ds/137Mi)
% 3.31/0.79  % (4174349)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=1455237049:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2995 on theBenchmark for (2995ds/340Mi)
% 3.31/0.79  % (4174352)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 3.31/0.79  % (4174350)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=678164686:i=227:sd=1:bd=all:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/227Mi)
% 3.31/0.79  % (4174352)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=367065502:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/373Mi)
% 3.31/0.79  % (4174350)Refutation not found, incomplete strategy
% 3.31/0.79  % (4174350)------------------------------
% 3.31/0.79  % (4174350)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.31/0.79  % (4174350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.31/0.79  % (4174350)CaDiCaL version: 2.1.3
% 3.31/0.79  % (4174350)Termination reason: Refutation not found, incomplete strategy
% 3.31/0.79  % (4174350)Time elapsed: 0.016 s
% 3.31/0.79  % (4174350)Peak memory usage: 13 MB
% 4.14/0.85  % (4174350)Instructions burned: 72 (million)
% 4.14/0.85  % (4174350)------------------------------
% 4.14/0.85  % (4174350)------------------------------
% 4.14/0.85  % (4174347)Instruction limit reached! 
% 4.14/0.85  % (4174347)------------------------------
% 4.14/0.85  % (4174347)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.14/0.85  % (4174347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.14/0.85  % (4174347)CaDiCaL version: 2.1.3
% 4.14/0.85  % (4174347)Termination reason: Instruction limit
% 4.14/0.85  % (4174347)Termination phase: Saturation
% 4.14/0.85  % (4174347)Time elapsed: 0.029 s
% 4.14/0.85  % (4174347)Peak memory usage: 13 MB
% 4.14/0.85  % (4174347)Instructions burned: 139 (million)
% 4.14/0.85  % (4174356)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=3494198311:i=116:ep=RSTC:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/116Mi)
% 4.14/0.85  % (4174357)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=3070204778:i=575:rtra=on_2994 on theBenchmark for (2994ds/575Mi)
% 4.14/0.85  % (4174356)Instruction limit reached! 
% 4.14/0.85  % (4174356)------------------------------
% 4.14/0.85  % (4174356)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.14/0.85  % (4174356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.14/0.85  % (4174356)CaDiCaL version: 2.1.3
% 4.14/0.85  % (4174356)Termination reason: Instruction limit
% 4.14/0.85  % (4174356)Termination phase: Saturation
% 4.14/0.85  % (4174356)Time elapsed: 0.024 s
% 4.14/0.85  % (4174356)Peak memory usage: 12 MB
% 4.14/0.85  % (4174356)Instructions burned: 118 (million)
% 4.14/0.85  % (4174360)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=1741210994:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2994 on theBenchmark for (2994ds/270Mi)
% 4.14/0.85  % (4174331)Instruction limit reached! 
% 4.14/0.85  % (4174331)------------------------------
% 4.14/0.85  % (4174331)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.14/0.85  % (4174331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.14/0.85  % (4174331)CaDiCaL version: 2.1.3
% 4.14/0.85  % (4174331)Termination reason: Instruction limit
% 4.14/0.85  % (4174331)Termination phase: Saturation
% 4.14/0.85  % (4174331)Time elapsed: 0.176 s
% 4.14/0.85  % (4174331)Peak memory usage: 16 MB
% 4.14/0.85  % (4174331)Instructions burned: 497 (million)
% 4.14/0.85  % (4174344)Instruction limit reached! 
% 4.14/0.85  % (4174344)------------------------------
% 4.14/0.85  % (4174344)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.14/0.85  % (4174344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.14/0.85  % (4174344)CaDiCaL version: 2.1.3
% 4.14/0.85  % (4174344)Termination reason: Instruction limit
% 4.14/0.85  % (4174344)Termination phase: Saturation
% 4.14/0.85  % (4174344)Time elapsed: 0.100 s
% 4.14/0.85  % (4174344)Peak memory usage: 16 MB
% 4.14/0.85  % (4174344)Instructions burned: 340 (million)
% 4.14/0.85  % (4174352)Instruction limit reached! 
% 4.14/0.85  % (4174352)------------------------------
% 4.14/0.85  % (4174352)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.14/0.85  % (4174352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.14/0.85  % (4174352)CaDiCaL version: 2.1.3
% 4.14/0.85  % (4174352)Termination reason: Instruction limit
% 4.14/0.85  % (4174352)Termination phase: Saturation
% 4.14/0.85  % (4174352)Time elapsed: 0.086 s
% 4.14/0.85  % (4174352)Peak memory usage: 13 MB
% 4.14/0.85  % (4174352)Instructions burned: 374 (million)
% 4.14/0.85  % (4174362)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=1564004701: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_2994 on theBenchmark for (2994ds/9840Mi)
% 4.14/0.85  % (4174363)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=2432017327:i=421:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/421Mi)
% 4.14/0.85  % (4174365)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
% 4.14/0.85  % (4174349)Instruction limit reached! 
% 4.14/0.85  % (4174349)------------------------------
% 4.14/0.85  % (4174349)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.88/1.09  % (4174349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.88/1.09  % (4174349)CaDiCaL version: 2.1.3
% 5.88/1.09  % (4174349)Termination reason: Instruction limit
% 5.88/1.09  % (4174349)Termination phase: Saturation
% 5.88/1.09  % (4174349)Time elapsed: 0.102 s
% 5.88/1.09  % (4174349)Peak memory usage: 14 MB
% 5.88/1.09  % (4174349)Instructions burned: 341 (million)
% 5.88/1.09  % (4174365)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=4173612800:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/270Mi)
% 5.88/1.09  % (4174367)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2948315977:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/31Mi)
% 5.88/1.09  % (4174367)Instruction limit reached! 
% 5.88/1.09  % (4174367)------------------------------
% 5.88/1.09  % (4174367)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.88/1.09  % (4174367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.88/1.09  % (4174367)CaDiCaL version: 2.1.3
% 5.88/1.09  % (4174367)Termination reason: Instruction limit
% 5.88/1.09  % (4174367)Termination phase: Property scanning
% 5.88/1.09  % (4174367)Time elapsed: 0.013 s
% 5.88/1.09  % (4174367)Peak memory usage: 10 MB
% 5.88/1.09  % (4174367)Instructions burned: 33 (million)
% 5.88/1.09  % (4174365)Refutation not found, incomplete strategy
% 5.88/1.09  % (4174365)------------------------------
% 5.88/1.09  % (4174365)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.88/1.09  % (4174365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.88/1.09  % (4174365)CaDiCaL version: 2.1.3
% 5.88/1.09  % (4174365)Termination reason: Refutation not found, incomplete strategy
% 5.88/1.09  % (4174365)Time elapsed: 0.031 s
% 5.88/1.09  % (4174365)Peak memory usage: 13 MB
% 5.88/1.09  % (4174365)Instructions burned: 143 (million)
% 5.88/1.09  % (4174365)------------------------------
% 5.88/1.09  % (4174365)------------------------------
% 5.88/1.09  % (4174363)Refutation not found, incomplete strategy
% 5.88/1.09  % (4174363)------------------------------
% 5.88/1.09  % (4174363)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.88/1.09  % (4174363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.88/1.09  % (4174363)CaDiCaL version: 2.1.3
% 5.88/1.09  % (4174363)Termination reason: Refutation not found, incomplete strategy
% 5.88/1.09  % (4174363)Time elapsed: 0.039 s
% 5.88/1.09  % (4174363)Peak memory usage: 13 MB
% 5.88/1.09  % (4174363)Instructions burned: 132 (million)
% 5.88/1.09  % (4174363)------------------------------
% 5.88/1.09  % (4174363)------------------------------
% 5.88/1.09  % (4174370)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 5.88/1.09  % (4174370)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
% 5.88/1.09  % (4174370)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=1174742376:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2993 on theBenchmark for (2993ds/1440Mi)
% 5.88/1.09  % (4174371)dis+10_2_sil=128000:si=on:random_seed=4267058263:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2993 on theBenchmark for (2993ds/339Mi)
% 5.88/1.09  % (4174372)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=2480484564:i=111:add=on:fgj=on:rtra=on:fdi=1024_2993 on theBenchmark for (2993ds/111Mi)
% 5.88/1.09  % (4174357)Instruction limit reached! 
% 5.88/1.09  % (4174357)------------------------------
% 5.88/1.09  % (4174357)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.88/1.09  % (4174357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.88/1.09  % (4174357)CaDiCaL version: 2.1.3
% 5.88/1.09  % (4174357)Termination reason: Instruction limit
% 5.88/1.09  % (4174357)Termination phase: Saturation
% 5.88/1.09  % (4174357)Time elapsed: 0.120 s
% 5.88/1.09  % (4174357)Peak memory usage: 17 MB
% 5.88/1.09  % (4174357)Instructions burned: 580 (million)
% 5.88/1.09  % (4174360)Instruction limit reached! 
% 5.88/1.09  % (4174360)------------------------------
% 5.88/1.09  % (4174360)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.59/1.14  % (4174360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.14  % (4174360)CaDiCaL version: 2.1.3
% 5.59/1.14  % (4174360)Termination reason: Instruction limit
% 5.59/1.14  % (4174360)Termination phase: Saturation
% 5.59/1.14  % (4174360)Time elapsed: 0.089 s
% 5.59/1.14  % (4174360)Peak memory usage: 13 MB
% 5.59/1.14  % (4174360)Instructions burned: 272 (million)
% 5.59/1.14  % (4174376)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=2450036039:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2993 on theBenchmark for (2993ds/122Mi)
% 5.59/1.14  % (4174377)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=1873815412:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/136Mi)
% 5.59/1.14  % (4174372)Instruction limit reached! 
% 5.59/1.14  % (4174372)------------------------------
% 5.59/1.14  % (4174372)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.59/1.14  % (4174372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.14  % (4174372)CaDiCaL version: 2.1.3
% 5.59/1.14  % (4174372)Termination reason: Instruction limit
% 5.59/1.14  % (4174372)Termination phase: Saturation
% 5.59/1.14  % (4174372)Time elapsed: 0.033 s
% 5.59/1.14  % (4174372)Peak memory usage: 12 MB
% 5.59/1.14  % (4174372)Instructions burned: 112 (million)
% 5.59/1.14  % (4174376)Instruction limit reached! 
% 5.59/1.14  % (4174376)------------------------------
% 5.59/1.14  % (4174376)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.59/1.14  % (4174376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.14  % (4174376)CaDiCaL version: 2.1.3
% 5.59/1.14  % (4174376)Termination reason: Instruction limit
% 5.59/1.14  % (4174376)Termination phase: Saturation
% 5.59/1.14  % (4174376)Time elapsed: 0.026 s
% 5.59/1.14  % (4174376)Peak memory usage: 12 MB
% 5.59/1.14  % (4174376)Instructions burned: 122 (million)
% 5.59/1.14  % (4174380)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3402463369:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2993 on theBenchmark for (2993ds/232Mi)
% 5.59/1.14  % (4174382)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=3329403336:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2993 on theBenchmark for (2993ds/1254Mi)
% 5.59/1.14  % (4174380)Refutation not found, incomplete strategy
% 5.59/1.14  % (4174380)------------------------------
% 5.59/1.14  % (4174380)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.59/1.14  % (4174380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.14  % (4174380)CaDiCaL version: 2.1.3
% 5.59/1.14  % (4174380)Termination reason: Refutation not found, incomplete strategy
% 5.59/1.14  % (4174380)Time elapsed: 0.012 s
% 5.59/1.14  % (4174380)Peak memory usage: 13 MB
% 5.59/1.14  % (4174380)Instructions burned: 46 (million)
% 5.59/1.14  % (4174380)------------------------------
% 5.59/1.14  % (4174380)------------------------------
% 5.59/1.14  % (4174371)Instruction limit reached! 
% 5.59/1.14  % (4174371)------------------------------
% 5.59/1.14  % (4174371)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.59/1.14  % (4174371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.14  % (4174371)CaDiCaL version: 2.1.3
% 5.59/1.14  % (4174371)Termination reason: Instruction limit
% 5.59/1.14  % (4174371)Termination phase: Saturation
% 5.59/1.14  % (4174371)Time elapsed: 0.069 s
% 5.59/1.14  % (4174371)Peak memory usage: 13 MB
% 5.59/1.14  % (4174371)Instructions burned: 342 (million)
% 5.59/1.14  % (4174377)Instruction limit reached! 
% 5.59/1.14  % (4174377)------------------------------
% 5.59/1.14  % (4174377)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.59/1.14  % (4174377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.14  % (4174377)CaDiCaL version: 2.1.3
% 5.59/1.14  % (4174377)Termination reason: Instruction limit
% 5.59/1.14  % (4174377)Termination phase: Saturation
% 5.59/1.14  % (4174377)Time elapsed: 0.041 s
% 5.59/1.14  % (4174377)Peak memory usage: 12 MB
% 5.59/1.14  % (4174377)Instructions burned: 138 (million)
% 5.59/1.14  % (4174384)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 5.59/1.14  % (4174384)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=3806262616:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2993 on theBenchmark for (2993ds/281Mi)
% 5.59/1.14  % (4174385)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2227300422:i=619:add=on:rtra=on_2993 on theBenchmark for (2993ds/619Mi)
% 5.59/1.14  % (4174386)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=2353895542:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/865Mi)
% 5.59/1.14  % (4174384)Instruction limit reached! 
% 5.59/1.14  % (4174384)------------------------------
% 5.59/1.14  % (4174384)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.59/1.14  % (4174384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.14  % (4174384)CaDiCaL version: 2.1.3
% 5.59/1.14  % (4174384)Termination reason: Instruction limit
% 5.59/1.14  % (4174384)Termination phase: Saturation
% 5.59/1.14  % (4174384)Time elapsed: 0.078 s
% 5.59/1.14  % (4174384)Peak memory usage: 13 MB
% 5.59/1.14  % (4174384)Instructions burned: 284 (million)
% 5.59/1.14  % (4174390)lrs+10_1_sil=128000:si=on:urr=on:random_seed=2493982977:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/212Mi)
% 5.59/1.14  % (4174390)Instruction limit reached! 
% 5.59/1.14  % (4174390)------------------------------
% 5.59/1.14  % (4174390)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.59/1.14  % (4174390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.14  % (4174390)CaDiCaL version: 2.1.3
% 5.59/1.14  % (4174390)Termination reason: Instruction limit
% 5.59/1.14  % (4174390)Termination phase: Saturation
% 5.59/1.14  % (4174390)Time elapsed: 0.064 s
% 5.59/1.14  % (4174390)Peak memory usage: 14 MB
% 5.59/1.14  % (4174390)Instructions burned: 213 (million)
% 5.59/1.14  % (4174392)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=3146752769:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/130Mi)
% 5.59/1.14  % (4174392)Refutation not found, incomplete strategy
% 5.59/1.14  % (4174392)------------------------------
% 5.59/1.14  % (4174392)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.59/1.14  % (4174392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.14  % (4174392)CaDiCaL version: 2.1.3
% 5.59/1.14  % (4174392)Termination reason: Refutation not found, incomplete strategy
% 5.59/1.14  % (4174392)Time elapsed: 0.018 s
% 5.59/1.14  % (4174392)Peak memory usage: 13 MB
% 5.59/1.14  % (4174392)Instructions burned: 76 (million)
% 5.59/1.14  % (4174392)------------------------------
% 5.59/1.14  % (4174392)------------------------------
% 5.59/1.14  % (4174385) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4174191-4174385"...
% 5.59/1.14  % (4174394)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=689722469:st=1.5:i=346:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/346Mi)
% 5.59/1.14  % (4174386)Instruction limit reached! 
% 5.59/1.14  % (4174386)------------------------------
% 5.59/1.14  % (4174386)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.59/1.14  % (4174386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.14  % (4174386)CaDiCaL version: 2.1.3
% 5.59/1.14  % (4174386)Termination reason: Instruction limit
% 5.59/1.14  % (4174386)Termination phase: Saturation
% 5.59/1.14  % (4174386)Time elapsed: 0.212 s
% 5.59/1.14  % (4174386)Peak memory usage: 16 MB
% 5.59/1.14  % (4174386)Instructions burned: 867 (million)
% 5.59/1.14  % (4174394)Refutation not found, incomplete strategy
% 5.59/1.14  % (4174394)------------------------------
% 5.59/1.14  % (4174394)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.59/1.14  % (4174394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.14  % (4174394)CaDiCaL version: 2.1.3
% 5.59/1.14  % (4174394)Termination reason: Refutation not found, incomplete strategy
% 5.59/1.14  % (4174394)Time elapsed: 0.035 s
% 5.59/1.14  % (4174394)Peak memory usage: 14 MB
% 5.59/1.14  % (4174394)Instructions burned: 146 (million)
% 5.59/1.14  % (4174394)------------------------------
% 5.59/1.14  % (4174394)------------------------------
% 5.59/1.14  % (4174396)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=1029610450:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2990 on theBenchmark for (2990ds/152Mi)
% 5.59/1.14  % (4174382)Instruction limit reached! 
% 5.59/1.14  % (4174382)------------------------------
% 5.59/1.14  % (4174382)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.59/1.14  % (4174382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.14  % (4174382)CaDiCaL version: 2.1.3
% 5.59/1.14  % (4174382)Termination reason: Instruction limit
% 5.59/1.14  % (4174382)Termination phase: Saturation
% 5.59/1.14  % (4174382)Time elapsed: 0.274 s
% 5.59/1.14  % (4174382)Peak memory usage: 18 MB
% 5.59/1.14  % (4174382)Instructions burned: 1254 (million)
% 5.59/1.14  % (4174397)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3015391635:i=75:ep=R:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/75Mi)
% 5.59/1.14  % (4174399)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=1936539186:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/387Mi)
% 5.59/1.14  % (4174385)...printing done.
% 5.59/1.14  % (4174385)Refutation found. Thanks to Tanya!
% 5.59/1.14  % SZS status Theorem for theBenchmark
% 5.59/1.14  % SZS output start Proof for theBenchmark
% See solution above
% 5.59/1.15  % (4174385)------------------------------
% 5.59/1.15  % (4174385)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.59/1.15  % (4174385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.15  % (4174385)CaDiCaL version: 2.1.3
% 5.59/1.15  % (4174385)Termination reason: Refutation
% 5.59/1.15  % (4174385)Time elapsed: 0.269 s
% 5.59/1.15  % (4174385)Peak memory usage: 15 MB
% 5.59/1.15  % (4174385)Instructions burned: 690 (million)
% 5.59/1.15  % (4174191)Success in time 0.991 s
% 5.59/1.15  % Vampire exiting
%------------------------------------------------------------------------------