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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : NLP004^13 : 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 : n010.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 08:16:21 AM UTC 2026

% Result   : Theorem 15.24s 2.83s
% Output   : Refutation 15.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :  102
%            Number of leaves      :   19
% Syntax   : Number of formulae    :  591 (  33 unt;   0 typ;  13 def)
%            Number of atoms       : 25111 (3809 equ;   0 cnn)
%            Maximal formula atoms :  292 (  42 avg)
%            Number of connectives : 41929 ( 783   ~;3995   |;7306   &;28946   @)
%                                         (  13 <=>;  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     :   92 (  88 usr;  37 con; 0-4 aty)
%                                         (   0  !!; 872  ??;   0 @@+;   0 @@-)
%            Number of variables   : 2839 (   0 sgn1184   !;   2   ?;2839   :)

% 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,
    vIMP: $o > $o > $o ).

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

thf(func_def_43,type,
    vSIGMA: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_44,type,
    vAND: $o > $o > $o ).

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

thf(func_def_46,type,
    db9: 
      !>[X0: $tType] : X0 ).

thf(func_def_47,type,
    db8: 
      !>[X0: $tType] : X0 ).

thf(func_def_48,type,
    db7: 
      !>[X0: $tType] : X0 ).

thf(func_def_49,type,
    db6: 
      !>[X0: $tType] : X0 ).

thf(func_def_50,type,
    db5: 
      !>[X0: $tType] : X0 ).

thf(func_def_51,type,
    db4: 
      !>[X0: $tType] : X0 ).

thf(func_def_52,type,
    db3: 
      !>[X0: $tType] : X0 ).

thf(func_def_53,type,
    vIFF: $o > $o > $o ).

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

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

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

thf(f1,axiom,
    ( ( ^ [X0: mworld > $o] : ( X0 @ mactual ) )
    = mlocal ),
    file('/export/starexec/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,
    ( mand
    = ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
          ( ( X0 @ X2 )
          & ( X1 @ X2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mand_def) ).

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

thf(f12,axiom,
    ( ( ^ [X0: $i > mworld > $o,X1: mworld] :
        ? [X2: $i] :
          ( ( eiw_di @ X2 @ X1 )
          & ( X0 @ 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(f55,plain,
    ( ( ^ [X0: $i > mworld > $o,X1: mworld] :
        ? [X2: $i] :
          ( ( eiw_di @ X2 @ X1 )
          & ( X0 @ X2 @ X1 ) ) )
    = mexists_di ),
    inference(rectify,[],[f12]) ).

thf(f56,plain,
    ( mexists_di
    = ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
          ( ?? @ $i
          @ ^ [Y2: $i] :
              ( ( Y0 @ Y2 @ Y1 )
              & ( eiw_di @ Y2 @ Y1 ) ) ) ) ),
    inference(fool_elimination,[],[f55]) ).

thf(f57,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(f58,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,[],[f57]) ).

thf(f89,plain,
    ( mlocal
    = ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
    inference(fool_elimination,[],[f1]) ).

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

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

thf(f102,plain,
    ( mnot
    = ( ^ [X0: mworld > $o,X1: mworld] :
          ~ ( X0 @ X1 ) ) ),
    inference(rectify,[],[f2]) ).

thf(f103,plain,
    ( mnot
    = ( ^ [Y0: mworld > $o,Y1: mworld] :
          ~ ( Y0 @ Y1 ) ) ),
    inference(fool_elimination,[],[f102]) ).

thf(f108,plain,
    ( mand
    = ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
          ( ( X0 @ X2 )
          & ( X1 @ X2 ) ) ) ),
    inference(rectify,[],[f3]) ).

thf(f109,plain,
    ( mand
    = ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
          ( ( Y1 @ Y2 )
          & ( Y0 @ Y2 ) ) ) ),
    inference(fool_elimination,[],[f108]) ).

thf(f119,plain,
    ( mnot
    = ( ^ [Y0: mworld > $o,Y1: mworld] :
          ~ ( Y0 @ Y1 ) ) ),
    inference(cnf_transformation,[],[f103]) ).

thf(f126,plain,
    ( mexists_di
    = ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
          ( ?? @ $i
          @ ^ [Y2: $i] :
              ( ( Y0 @ Y2 @ Y1 )
              & ( eiw_di @ Y2 @ Y1 ) ) ) ) ),
    inference(cnf_transformation,[],[f56]) ).

thf(f130,plain,
    ( mand
    = ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
          ( ( Y1 @ Y2 )
          & ( Y0 @ Y2 ) ) ) ),
    inference(cnf_transformation,[],[f109]) ).

thf(f136,plain,
    ( mlocal
    = ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
    inference(cnf_transformation,[],[f89]) ).

thf(f138,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,[],[f58]) ).

thf(f144,plain,
    ( mimplies
    = ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
          ( ( Y0 @ Y2 )
         => ( Y1 @ Y2 ) ) ) ),
    inference(cnf_transformation,[],[f91]) ).

thf(f173,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] :
                        ( ( Y0 @ Y2 @ Y1 )
                        & ( eiw_di @ Y2 @ Y1 ) ) )
                @ ^ [Y0: $i] :
                    ( ^ [Y1: $i > mworld > $o,Y2: mworld] :
                        ( ?? @ $i
                        @ ^ [Y3: $i] :
                            ( ( Y1 @ Y3 @ Y2 )
                            & ( eiw_di @ Y3 @ Y2 ) ) )
                    @ ^ [Y1: $i] :
                        ( ^ [Y2: $i > mworld > $o,Y3: mworld] :
                            ( ?? @ $i
                            @ ^ [Y4: $i] :
                                ( ( Y2 @ Y4 @ Y3 )
                                & ( eiw_di @ Y4 @ Y3 ) ) )
                        @ ^ [Y2: $i] :
                            ( ^ [Y3: $i > mworld > $o,Y4: mworld] :
                                ( ?? @ $i
                                @ ^ [Y5: $i] :
                                    ( ( Y3 @ Y5 @ Y4 )
                                    & ( eiw_di @ Y5 @ Y4 ) ) )
                            @ ^ [Y3: $i] :
                                ( ^ [Y4: $i > mworld > $o,Y5: mworld] :
                                    ( ?? @ $i
                                    @ ^ [Y6: $i] :
                                        ( ( Y4 @ Y6 @ Y5 )
                                        & ( eiw_di @ Y6 @ Y5 ) ) )
                                @ ^ [Y4: $i] :
                                    ( ^ [Y5: $i > mworld > $o,Y6: mworld] :
                                        ( ?? @ $i
                                        @ ^ [Y7: $i] :
                                            ( ( Y5 @ Y7 @ Y6 )
                                            & ( eiw_di @ Y7 @ Y6 ) ) )
                                    @ ^ [Y5: $i] :
                                        ( ^ [Y6: $i > mworld > $o,Y7: mworld] :
                                            ( ?? @ $i
                                            @ ^ [Y8: $i] :
                                                ( ( Y6 @ Y8 @ Y7 )
                                                & ( eiw_di @ Y8 @ Y7 ) ) )
                                        @ ^ [Y6: $i] :
                                            ( ^ [Y7: $i > mworld > $o,Y8: mworld] :
                                                ( ?? @ $i
                                                @ ^ [Y9: $i] :
                                                    ( ( Y7 @ Y9 @ Y8 )
                                                    & ( eiw_di @ Y9 @ Y8 ) ) )
                                            @ ^ [Y7: $i] :
                                                ( ^ [Y8: $i > mworld > $o,Y9: mworld] :
                                                    ( ?? @ $i
                                                    @ ^ [Y10: $i] :
                                                        ( ( Y8 @ Y10 @ Y9 )
                                                        & ( eiw_di @ Y10 @ Y9 ) ) )
                                                @ ^ [Y8: $i] :
                                                    ( ^ [Y9: $i > mworld > $o,Y10: mworld] :
                                                        ( ?? @ $i
                                                        @ ^ [Y11: $i] :
                                                            ( ( Y9 @ Y11 @ Y10 )
                                                            & ( eiw_di @ 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] :
                        ( ( Y0 @ Y2 @ Y1 )
                        & ( eiw_di @ Y2 @ Y1 ) ) )
                @ ^ [Y0: $i] :
                    ( ^ [Y1: $i > mworld > $o,Y2: mworld] :
                        ( ?? @ $i
                        @ ^ [Y3: $i] :
                            ( ( Y1 @ Y3 @ Y2 )
                            & ( eiw_di @ Y3 @ Y2 ) ) )
                    @ ^ [Y1: $i] :
                        ( ^ [Y2: $i > mworld > $o,Y3: mworld] :
                            ( ?? @ $i
                            @ ^ [Y4: $i] :
                                ( ( Y2 @ Y4 @ Y3 )
                                & ( eiw_di @ Y4 @ Y3 ) ) )
                        @ ^ [Y2: $i] :
                            ( ^ [Y3: $i > mworld > $o,Y4: mworld] :
                                ( ?? @ $i
                                @ ^ [Y5: $i] :
                                    ( ( Y3 @ Y5 @ Y4 )
                                    & ( eiw_di @ Y5 @ Y4 ) ) )
                            @ ^ [Y3: $i] :
                                ( ^ [Y4: $i > mworld > $o,Y5: mworld] :
                                    ( ?? @ $i
                                    @ ^ [Y6: $i] :
                                        ( ( Y4 @ Y6 @ Y5 )
                                        & ( eiw_di @ Y6 @ Y5 ) ) )
                                @ ^ [Y4: $i] :
                                    ( ^ [Y5: $i > mworld > $o,Y6: mworld] :
                                        ( ?? @ $i
                                        @ ^ [Y7: $i] :
                                            ( ( Y5 @ Y7 @ Y6 )
                                            & ( eiw_di @ Y7 @ Y6 ) ) )
                                    @ ^ [Y5: $i] :
                                        ( ^ [Y6: $i > mworld > $o,Y7: mworld] :
                                            ( ?? @ $i
                                            @ ^ [Y8: $i] :
                                                ( ( Y6 @ Y8 @ Y7 )
                                                & ( eiw_di @ Y8 @ Y7 ) ) )
                                        @ ^ [Y6: $i] :
                                            ( ^ [Y7: $i > mworld > $o,Y8: mworld] :
                                                ( ?? @ $i
                                                @ ^ [Y9: $i] :
                                                    ( ( Y7 @ Y9 @ Y8 )
                                                    & ( eiw_di @ Y9 @ Y8 ) ) )
                                            @ ^ [Y7: $i] :
                                                ( ^ [Y8: $i > mworld > $o,Y9: mworld] :
                                                    ( ?? @ $i
                                                    @ ^ [Y10: $i] :
                                                        ( ( Y8 @ Y10 @ Y9 )
                                                        & ( eiw_di @ Y10 @ Y9 ) ) )
                                                @ ^ [Y8: $i] :
                                                    ( ^ [Y9: $i > mworld > $o,Y10: mworld] :
                                                        ( ?? @ $i
                                                        @ ^ [Y11: $i] :
                                                            ( ( Y9 @ Y11 @ Y10 )
                                                            & ( eiw_di @ 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] :
                        ( ( Y0 @ Y2 @ Y1 )
                        & ( eiw_di @ Y2 @ Y1 ) ) )
                @ ^ [Y0: $i] :
                    ( ^ [Y1: $i > mworld > $o,Y2: mworld] :
                        ( ?? @ $i
                        @ ^ [Y3: $i] :
                            ( ( Y1 @ Y3 @ Y2 )
                            & ( eiw_di @ Y3 @ Y2 ) ) )
                    @ ^ [Y1: $i] :
                        ( ^ [Y2: $i > mworld > $o,Y3: mworld] :
                            ( ?? @ $i
                            @ ^ [Y4: $i] :
                                ( ( Y2 @ Y4 @ Y3 )
                                & ( eiw_di @ Y4 @ Y3 ) ) )
                        @ ^ [Y2: $i] :
                            ( ^ [Y3: $i > mworld > $o,Y4: mworld] :
                                ( ?? @ $i
                                @ ^ [Y5: $i] :
                                    ( ( Y3 @ Y5 @ Y4 )
                                    & ( eiw_di @ Y5 @ Y4 ) ) )
                            @ ^ [Y3: $i] :
                                ( ^ [Y4: $i > mworld > $o,Y5: mworld] :
                                    ( ?? @ $i
                                    @ ^ [Y6: $i] :
                                        ( ( Y4 @ Y6 @ Y5 )
                                        & ( eiw_di @ Y6 @ Y5 ) ) )
                                @ ^ [Y4: $i] :
                                    ( ^ [Y5: $i > mworld > $o,Y6: mworld] :
                                        ( ?? @ $i
                                        @ ^ [Y7: $i] :
                                            ( ( Y5 @ Y7 @ Y6 )
                                            & ( eiw_di @ Y7 @ Y6 ) ) )
                                    @ ^ [Y5: $i] :
                                        ( ^ [Y6: $i > mworld > $o,Y7: mworld] :
                                            ( ?? @ $i
                                            @ ^ [Y8: $i] :
                                                ( ( Y6 @ Y8 @ Y7 )
                                                & ( eiw_di @ Y8 @ Y7 ) ) )
                                        @ ^ [Y6: $i] :
                                            ( ^ [Y7: $i > mworld > $o,Y8: mworld] :
                                                ( ?? @ $i
                                                @ ^ [Y9: $i] :
                                                    ( ( Y7 @ Y9 @ Y8 )
                                                    & ( eiw_di @ Y9 @ Y8 ) ) )
                                            @ ^ [Y7: $i] :
                                                ( ^ [Y8: $i > mworld > $o,Y9: mworld] :
                                                    ( ?? @ $i
                                                    @ ^ [Y10: $i] :
                                                        ( ( Y8 @ Y10 @ Y9 )
                                                        & ( eiw_di @ Y10 @ Y9 ) ) )
                                                @ ^ [Y8: $i] :
                                                    ( ^ [Y9: $i > mworld > $o,Y10: mworld] :
                                                        ( ?? @ $i
                                                        @ ^ [Y11: $i] :
                                                            ( ( Y9 @ Y11 @ Y10 )
                                                            & ( eiw_di @ 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] :
                        ( ( Y0 @ Y2 @ Y1 )
                        & ( eiw_di @ Y2 @ Y1 ) ) )
                @ ^ [Y0: $i] :
                    ( ^ [Y1: $i > mworld > $o,Y2: mworld] :
                        ( ?? @ $i
                        @ ^ [Y3: $i] :
                            ( ( Y1 @ Y3 @ Y2 )
                            & ( eiw_di @ Y3 @ Y2 ) ) )
                    @ ^ [Y1: $i] :
                        ( ^ [Y2: $i > mworld > $o,Y3: mworld] :
                            ( ?? @ $i
                            @ ^ [Y4: $i] :
                                ( ( Y2 @ Y4 @ Y3 )
                                & ( eiw_di @ Y4 @ Y3 ) ) )
                        @ ^ [Y2: $i] :
                            ( ^ [Y3: $i > mworld > $o,Y4: mworld] :
                                ( ?? @ $i
                                @ ^ [Y5: $i] :
                                    ( ( Y3 @ Y5 @ Y4 )
                                    & ( eiw_di @ Y5 @ Y4 ) ) )
                            @ ^ [Y3: $i] :
                                ( ^ [Y4: $i > mworld > $o,Y5: mworld] :
                                    ( ?? @ $i
                                    @ ^ [Y6: $i] :
                                        ( ( Y4 @ Y6 @ Y5 )
                                        & ( eiw_di @ Y6 @ Y5 ) ) )
                                @ ^ [Y4: $i] :
                                    ( ^ [Y5: $i > mworld > $o,Y6: mworld] :
                                        ( ?? @ $i
                                        @ ^ [Y7: $i] :
                                            ( ( Y5 @ Y7 @ Y6 )
                                            & ( eiw_di @ Y7 @ Y6 ) ) )
                                    @ ^ [Y5: $i] :
                                        ( ^ [Y6: $i > mworld > $o,Y7: mworld] :
                                            ( ?? @ $i
                                            @ ^ [Y8: $i] :
                                                ( ( Y6 @ Y8 @ Y7 )
                                                & ( eiw_di @ Y8 @ Y7 ) ) )
                                        @ ^ [Y6: $i] :
                                            ( ^ [Y7: $i > mworld > $o,Y8: mworld] :
                                                ( ?? @ $i
                                                @ ^ [Y9: $i] :
                                                    ( ( Y7 @ Y9 @ Y8 )
                                                    & ( eiw_di @ Y9 @ Y8 ) ) )
                                            @ ^ [Y7: $i] :
                                                ( ^ [Y8: $i > mworld > $o,Y9: mworld] :
                                                    ( ?? @ $i
                                                    @ ^ [Y10: $i] :
                                                        ( ( Y8 @ Y10 @ Y9 )
                                                        & ( eiw_di @ Y10 @ Y9 ) ) )
                                                @ ^ [Y8: $i] :
                                                    ( ^ [Y9: $i > mworld > $o,Y10: mworld] :
                                                        ( ?? @ $i
                                                        @ ^ [Y11: $i] :
                                                            ( ( Y9 @ Y11 @ Y10 )
                                                            & ( eiw_di @ 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,[],[f138,f136,f130,f144,f126,f126,f126,f126,f126,f126,f126,f126,f126,f126,f130,f130,f130,f130,f130,f130,f130,f130,f130,f130,f130,f130,f130,f130,f130,f130,f130,f130,f130,f130,f130,f119,f130,f130,f130,f130,f130,f130,f130,f130,f130,f126,f126,f126,f126,f126,f126,f126,f126,f126,f126,f130,f130,f130,f130,f130,f130,f130,f130,f130,f130,f130,f130,f130,f130,f130,f130,f130,f130,f130,f130,f130,f119,f130,f130,f130,f130,f130,f130,f130,f130,f130,f144,f126,f126,f126,f126,f126,f126,f126,f126,f126,f126,f130,f130,f130,f130,f130,f130,f130,f130,f130,f130,f130,f130,f130,f130,f130,f130,f130,f130,f130,f130,f130,f119,f130,f130,f130,f130,f130,f130,f130,f130,f130,f126,f126,f126,f126,f126,f126,f126,f126,f126,f126,f130,f130,f130,f130,f130,f130,f130,f130,f130,f130,f130,f130,f130,f130,f130,f130,f130,f130,f130,f130,f130,f119,f130,f130,f130,f130,f130,f130,f130,f130,f130]) ).

thf(f212,plain,
    ( ( ~ ( ( ( ?? @ $i
              @ ^ [Y0: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y1: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y2: $i] :
                              ( ( ?? @ $i
                                @ ^ [Y3: $i] :
                                    ( ( ?? @ $i
                                      @ ^ [Y4: $i] :
                                          ( ( ?? @ $i
                                            @ ^ [Y5: $i] :
                                                ( ( ?? @ $i
                                                  @ ^ [Y6: $i] :
                                                      ( ( ?? @ $i
                                                        @ ^ [Y7: $i] :
                                                            ( ( ?? @ $i
                                                              @ ^ [Y8: $i] :
                                                                  ( ( ?? @ $i
                                                                    @ ^ [Y9: $i] :
                                                                        ( ( 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 )
                                                                        & ( eiw_di @ Y9 @ mactual ) ) )
                                                                  & ( eiw_di @ Y8 @ mactual ) ) )
                                                            & ( eiw_di @ Y7 @ mactual ) ) )
                                                      & ( eiw_di @ Y6 @ mactual ) ) )
                                                & ( eiw_di @ Y5 @ mactual ) ) )
                                          & ( eiw_di @ Y4 @ mactual ) ) )
                                    & ( eiw_di @ Y3 @ mactual ) ) )
                              & ( eiw_di @ Y2 @ mactual ) ) )
                        & ( eiw_di @ Y1 @ mactual ) ) )
                  & ( eiw_di @ Y0 @ mactual ) ) )
           => ( ?? @ $i
              @ ^ [Y0: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y1: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y2: $i] :
                              ( ( ?? @ $i
                                @ ^ [Y3: $i] :
                                    ( ( ?? @ $i
                                      @ ^ [Y4: $i] :
                                          ( ( ?? @ $i
                                            @ ^ [Y5: $i] :
                                                ( ( ?? @ $i
                                                  @ ^ [Y6: $i] :
                                                      ( ( ?? @ $i
                                                        @ ^ [Y7: $i] :
                                                            ( ( ?? @ $i
                                                              @ ^ [Y8: $i] :
                                                                  ( ( ?? @ $i
                                                                    @ ^ [Y9: $i] :
                                                                        ( ( 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 )
                                                                        & ( eiw_di @ Y9 @ mactual ) ) )
                                                                  & ( eiw_di @ Y8 @ mactual ) ) )
                                                            & ( eiw_di @ Y7 @ mactual ) ) )
                                                      & ( eiw_di @ Y6 @ mactual ) ) )
                                                & ( eiw_di @ Y5 @ mactual ) ) )
                                          & ( eiw_di @ Y4 @ mactual ) ) )
                                    & ( eiw_di @ Y3 @ mactual ) ) )
                              & ( eiw_di @ Y2 @ mactual ) ) )
                        & ( eiw_di @ Y1 @ mactual ) ) )
                  & ( eiw_di @ Y0 @ mactual ) ) ) )
          & ( ( ?? @ $i
              @ ^ [Y0: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y1: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y2: $i] :
                              ( ( ?? @ $i
                                @ ^ [Y3: $i] :
                                    ( ( ?? @ $i
                                      @ ^ [Y4: $i] :
                                          ( ( ?? @ $i
                                            @ ^ [Y5: $i] :
                                                ( ( ?? @ $i
                                                  @ ^ [Y6: $i] :
                                                      ( ( ?? @ $i
                                                        @ ^ [Y7: $i] :
                                                            ( ( ?? @ $i
                                                              @ ^ [Y8: $i] :
                                                                  ( ( ?? @ $i
                                                                    @ ^ [Y9: $i] :
                                                                        ( ( 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 )
                                                                        & ( eiw_di @ Y9 @ mactual ) ) )
                                                                  & ( eiw_di @ Y8 @ mactual ) ) )
                                                            & ( eiw_di @ Y7 @ mactual ) ) )
                                                      & ( eiw_di @ Y6 @ mactual ) ) )
                                                & ( eiw_di @ Y5 @ mactual ) ) )
                                          & ( eiw_di @ Y4 @ mactual ) ) )
                                    & ( eiw_di @ Y3 @ mactual ) ) )
                              & ( eiw_di @ Y2 @ mactual ) ) )
                        & ( eiw_di @ Y1 @ mactual ) ) )
                  & ( eiw_di @ Y0 @ mactual ) ) )
           => ( ?? @ $i
              @ ^ [Y0: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y1: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y2: $i] :
                              ( ( ?? @ $i
                                @ ^ [Y3: $i] :
                                    ( ( ?? @ $i
                                      @ ^ [Y4: $i] :
                                          ( ( ?? @ $i
                                            @ ^ [Y5: $i] :
                                                ( ( ?? @ $i
                                                  @ ^ [Y6: $i] :
                                                      ( ( ?? @ $i
                                                        @ ^ [Y7: $i] :
                                                            ( ( ?? @ $i
                                                              @ ^ [Y8: $i] :
                                                                  ( ( ?? @ $i
                                                                    @ ^ [Y9: $i] :
                                                                        ( ( 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 )
                                                                        & ( eiw_di @ Y9 @ mactual ) ) )
                                                                  & ( eiw_di @ Y8 @ mactual ) ) )
                                                            & ( eiw_di @ Y7 @ mactual ) ) )
                                                      & ( eiw_di @ Y6 @ mactual ) ) )
                                                & ( eiw_di @ Y5 @ mactual ) ) )
                                          & ( eiw_di @ Y4 @ mactual ) ) )
                                    & ( eiw_di @ Y3 @ mactual ) ) )
                              & ( eiw_di @ Y2 @ mactual ) ) )
                        & ( eiw_di @ Y1 @ mactual ) ) )
                  & ( eiw_di @ Y0 @ mactual ) ) ) ) ) )
    = $true ),
    inference(beta-eta_normalization,[],[f173]) ).

thf(f213,plain,
    ( $false
    = ( ( ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( ?? @ $i
                            @ ^ [Y3: $i] :
                                ( ( ?? @ $i
                                  @ ^ [Y4: $i] :
                                      ( ( ?? @ $i
                                        @ ^ [Y5: $i] :
                                            ( ( ?? @ $i
                                              @ ^ [Y6: $i] :
                                                  ( ( ?? @ $i
                                                    @ ^ [Y7: $i] :
                                                        ( ( ?? @ $i
                                                          @ ^ [Y8: $i] :
                                                              ( ( ?? @ $i
                                                                @ ^ [Y9: $i] :
                                                                    ( ( 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 )
                                                                    & ( eiw_di @ Y9 @ mactual ) ) )
                                                              & ( eiw_di @ Y8 @ mactual ) ) )
                                                        & ( eiw_di @ Y7 @ mactual ) ) )
                                                  & ( eiw_di @ Y6 @ mactual ) ) )
                                            & ( eiw_di @ Y5 @ mactual ) ) )
                                      & ( eiw_di @ Y4 @ mactual ) ) )
                                & ( eiw_di @ Y3 @ mactual ) ) )
                          & ( eiw_di @ Y2 @ mactual ) ) )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) ) )
       => ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( ?? @ $i
                            @ ^ [Y3: $i] :
                                ( ( ?? @ $i
                                  @ ^ [Y4: $i] :
                                      ( ( ?? @ $i
                                        @ ^ [Y5: $i] :
                                            ( ( ?? @ $i
                                              @ ^ [Y6: $i] :
                                                  ( ( ?? @ $i
                                                    @ ^ [Y7: $i] :
                                                        ( ( ?? @ $i
                                                          @ ^ [Y8: $i] :
                                                              ( ( ?? @ $i
                                                                @ ^ [Y9: $i] :
                                                                    ( ( 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 )
                                                                    & ( eiw_di @ Y9 @ mactual ) ) )
                                                              & ( eiw_di @ Y8 @ mactual ) ) )
                                                        & ( eiw_di @ Y7 @ mactual ) ) )
                                                  & ( eiw_di @ Y6 @ mactual ) ) )
                                            & ( eiw_di @ Y5 @ mactual ) ) )
                                      & ( eiw_di @ Y4 @ mactual ) ) )
                                & ( eiw_di @ Y3 @ mactual ) ) )
                          & ( eiw_di @ Y2 @ mactual ) ) )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) ) ) )
      & ( ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( ?? @ $i
                            @ ^ [Y3: $i] :
                                ( ( ?? @ $i
                                  @ ^ [Y4: $i] :
                                      ( ( ?? @ $i
                                        @ ^ [Y5: $i] :
                                            ( ( ?? @ $i
                                              @ ^ [Y6: $i] :
                                                  ( ( ?? @ $i
                                                    @ ^ [Y7: $i] :
                                                        ( ( ?? @ $i
                                                          @ ^ [Y8: $i] :
                                                              ( ( ?? @ $i
                                                                @ ^ [Y9: $i] :
                                                                    ( ( 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 )
                                                                    & ( eiw_di @ Y9 @ mactual ) ) )
                                                              & ( eiw_di @ Y8 @ mactual ) ) )
                                                        & ( eiw_di @ Y7 @ mactual ) ) )
                                                  & ( eiw_di @ Y6 @ mactual ) ) )
                                            & ( eiw_di @ Y5 @ mactual ) ) )
                                      & ( eiw_di @ Y4 @ mactual ) ) )
                                & ( eiw_di @ Y3 @ mactual ) ) )
                          & ( eiw_di @ Y2 @ mactual ) ) )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) ) )
       => ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( ?? @ $i
                            @ ^ [Y3: $i] :
                                ( ( ?? @ $i
                                  @ ^ [Y4: $i] :
                                      ( ( ?? @ $i
                                        @ ^ [Y5: $i] :
                                            ( ( ?? @ $i
                                              @ ^ [Y6: $i] :
                                                  ( ( ?? @ $i
                                                    @ ^ [Y7: $i] :
                                                        ( ( ?? @ $i
                                                          @ ^ [Y8: $i] :
                                                              ( ( ?? @ $i
                                                                @ ^ [Y9: $i] :
                                                                    ( ( 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 )
                                                                    & ( eiw_di @ Y9 @ mactual ) ) )
                                                              & ( eiw_di @ Y8 @ mactual ) ) )
                                                        & ( eiw_di @ Y7 @ mactual ) ) )
                                                  & ( eiw_di @ Y6 @ mactual ) ) )
                                            & ( eiw_di @ Y5 @ mactual ) ) )
                                      & ( eiw_di @ Y4 @ mactual ) ) )
                                & ( eiw_di @ Y3 @ mactual ) ) )
                          & ( eiw_di @ Y2 @ mactual ) ) )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) ) ) ) ) ),
    inference(not_proxy_clausification,[],[f212]) ).

thf(f214,plain,
    ( ( ( ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( ?? @ $i
                            @ ^ [Y3: $i] :
                                ( ( ?? @ $i
                                  @ ^ [Y4: $i] :
                                      ( ( ?? @ $i
                                        @ ^ [Y5: $i] :
                                            ( ( ?? @ $i
                                              @ ^ [Y6: $i] :
                                                  ( ( ?? @ $i
                                                    @ ^ [Y7: $i] :
                                                        ( ( ?? @ $i
                                                          @ ^ [Y8: $i] :
                                                              ( ( ?? @ $i
                                                                @ ^ [Y9: $i] :
                                                                    ( ( 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 )
                                                                    & ( eiw_di @ Y9 @ mactual ) ) )
                                                              & ( eiw_di @ Y8 @ mactual ) ) )
                                                        & ( eiw_di @ Y7 @ mactual ) ) )
                                                  & ( eiw_di @ Y6 @ mactual ) ) )
                                            & ( eiw_di @ Y5 @ mactual ) ) )
                                      & ( eiw_di @ Y4 @ mactual ) ) )
                                & ( eiw_di @ Y3 @ mactual ) ) )
                          & ( eiw_di @ Y2 @ mactual ) ) )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) ) )
       => ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( ?? @ $i
                            @ ^ [Y3: $i] :
                                ( ( ?? @ $i
                                  @ ^ [Y4: $i] :
                                      ( ( ?? @ $i
                                        @ ^ [Y5: $i] :
                                            ( ( ?? @ $i
                                              @ ^ [Y6: $i] :
                                                  ( ( ?? @ $i
                                                    @ ^ [Y7: $i] :
                                                        ( ( ?? @ $i
                                                          @ ^ [Y8: $i] :
                                                              ( ( ?? @ $i
                                                                @ ^ [Y9: $i] :
                                                                    ( ( 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 )
                                                                    & ( eiw_di @ Y9 @ mactual ) ) )
                                                              & ( eiw_di @ Y8 @ mactual ) ) )
                                                        & ( eiw_di @ Y7 @ mactual ) ) )
                                                  & ( eiw_di @ Y6 @ mactual ) ) )
                                            & ( eiw_di @ Y5 @ mactual ) ) )
                                      & ( eiw_di @ Y4 @ mactual ) ) )
                                & ( eiw_di @ Y3 @ mactual ) ) )
                          & ( eiw_di @ Y2 @ mactual ) ) )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) ) ) )
      = $false )
    | ( $false
      = ( ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( ?? @ $i
                            @ ^ [Y3: $i] :
                                ( ( ?? @ $i
                                  @ ^ [Y4: $i] :
                                      ( ( ?? @ $i
                                        @ ^ [Y5: $i] :
                                            ( ( ?? @ $i
                                              @ ^ [Y6: $i] :
                                                  ( ( ?? @ $i
                                                    @ ^ [Y7: $i] :
                                                        ( ( ?? @ $i
                                                          @ ^ [Y8: $i] :
                                                              ( ( ?? @ $i
                                                                @ ^ [Y9: $i] :
                                                                    ( ( 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 )
                                                                    & ( eiw_di @ Y9 @ mactual ) ) )
                                                              & ( eiw_di @ Y8 @ mactual ) ) )
                                                        & ( eiw_di @ Y7 @ mactual ) ) )
                                                  & ( eiw_di @ Y6 @ mactual ) ) )
                                            & ( eiw_di @ Y5 @ mactual ) ) )
                                      & ( eiw_di @ Y4 @ mactual ) ) )
                                & ( eiw_di @ Y3 @ mactual ) ) )
                          & ( eiw_di @ Y2 @ mactual ) ) )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) ) )
       => ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( ?? @ $i
                            @ ^ [Y3: $i] :
                                ( ( ?? @ $i
                                  @ ^ [Y4: $i] :
                                      ( ( ?? @ $i
                                        @ ^ [Y5: $i] :
                                            ( ( ?? @ $i
                                              @ ^ [Y6: $i] :
                                                  ( ( ?? @ $i
                                                    @ ^ [Y7: $i] :
                                                        ( ( ?? @ $i
                                                          @ ^ [Y8: $i] :
                                                              ( ( ?? @ $i
                                                                @ ^ [Y9: $i] :
                                                                    ( ( 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 )
                                                                    & ( eiw_di @ Y9 @ mactual ) ) )
                                                              & ( eiw_di @ Y8 @ mactual ) ) )
                                                        & ( eiw_di @ Y7 @ mactual ) ) )
                                                  & ( eiw_di @ Y6 @ mactual ) ) )
                                            & ( eiw_di @ Y5 @ mactual ) ) )
                                      & ( eiw_di @ Y4 @ mactual ) ) )
                                & ( eiw_di @ Y3 @ mactual ) ) )
                          & ( eiw_di @ Y2 @ mactual ) ) )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) ) ) ) ) ),
    inference(and_proxy_clausification,[],[f213]) ).

thf(f215,plain,
    ( ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( ?? @ $i
                                      @ ^ [Y5: $i] :
                                          ( ( ?? @ $i
                                            @ ^ [Y6: $i] :
                                                ( ( ?? @ $i
                                                  @ ^ [Y7: $i] :
                                                      ( ( ?? @ $i
                                                        @ ^ [Y8: $i] :
                                                            ( ( ?? @ $i
                                                              @ ^ [Y9: $i] :
                                                                  ( ( 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 )
                                                                  & ( eiw_di @ Y9 @ mactual ) ) )
                                                            & ( eiw_di @ Y8 @ mactual ) ) )
                                                      & ( eiw_di @ Y7 @ mactual ) ) )
                                                & ( eiw_di @ Y6 @ mactual ) ) )
                                          & ( eiw_di @ Y5 @ mactual ) ) )
                                    & ( eiw_di @ Y4 @ mactual ) ) )
                              & ( eiw_di @ Y3 @ mactual ) ) )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) ) )
      = $false )
    | ( $false
      = ( ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( ?? @ $i
                            @ ^ [Y3: $i] :
                                ( ( ?? @ $i
                                  @ ^ [Y4: $i] :
                                      ( ( ?? @ $i
                                        @ ^ [Y5: $i] :
                                            ( ( ?? @ $i
                                              @ ^ [Y6: $i] :
                                                  ( ( ?? @ $i
                                                    @ ^ [Y7: $i] :
                                                        ( ( ?? @ $i
                                                          @ ^ [Y8: $i] :
                                                              ( ( ?? @ $i
                                                                @ ^ [Y9: $i] :
                                                                    ( ( 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 )
                                                                    & ( eiw_di @ Y9 @ mactual ) ) )
                                                              & ( eiw_di @ Y8 @ mactual ) ) )
                                                        & ( eiw_di @ Y7 @ mactual ) ) )
                                                  & ( eiw_di @ Y6 @ mactual ) ) )
                                            & ( eiw_di @ Y5 @ mactual ) ) )
                                      & ( eiw_di @ Y4 @ mactual ) ) )
                                & ( eiw_di @ Y3 @ mactual ) ) )
                          & ( eiw_di @ Y2 @ mactual ) ) )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) ) )
       => ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( ?? @ $i
                            @ ^ [Y3: $i] :
                                ( ( ?? @ $i
                                  @ ^ [Y4: $i] :
                                      ( ( ?? @ $i
                                        @ ^ [Y5: $i] :
                                            ( ( ?? @ $i
                                              @ ^ [Y6: $i] :
                                                  ( ( ?? @ $i
                                                    @ ^ [Y7: $i] :
                                                        ( ( ?? @ $i
                                                          @ ^ [Y8: $i] :
                                                              ( ( ?? @ $i
                                                                @ ^ [Y9: $i] :
                                                                    ( ( 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 )
                                                                    & ( eiw_di @ Y9 @ mactual ) ) )
                                                              & ( eiw_di @ Y8 @ mactual ) ) )
                                                        & ( eiw_di @ Y7 @ mactual ) ) )
                                                  & ( eiw_di @ Y6 @ mactual ) ) )
                                            & ( eiw_di @ Y5 @ mactual ) ) )
                                      & ( eiw_di @ Y4 @ mactual ) ) )
                                & ( eiw_di @ Y3 @ mactual ) ) )
                          & ( eiw_di @ Y2 @ mactual ) ) )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) ) ) ) ) ),
    inference(imp_proxy_clausification,[],[f214]) ).

thf(f216,plain,
    ( ( $false
      = ( ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( ?? @ $i
                            @ ^ [Y3: $i] :
                                ( ( ?? @ $i
                                  @ ^ [Y4: $i] :
                                      ( ( ?? @ $i
                                        @ ^ [Y5: $i] :
                                            ( ( ?? @ $i
                                              @ ^ [Y6: $i] :
                                                  ( ( ?? @ $i
                                                    @ ^ [Y7: $i] :
                                                        ( ( ?? @ $i
                                                          @ ^ [Y8: $i] :
                                                              ( ( ?? @ $i
                                                                @ ^ [Y9: $i] :
                                                                    ( ( 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 )
                                                                    & ( eiw_di @ Y9 @ mactual ) ) )
                                                              & ( eiw_di @ Y8 @ mactual ) ) )
                                                        & ( eiw_di @ Y7 @ mactual ) ) )
                                                  & ( eiw_di @ Y6 @ mactual ) ) )
                                            & ( eiw_di @ Y5 @ mactual ) ) )
                                      & ( eiw_di @ Y4 @ mactual ) ) )
                                & ( eiw_di @ Y3 @ mactual ) ) )
                          & ( eiw_di @ Y2 @ mactual ) ) )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) ) )
       => ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( ?? @ $i
                            @ ^ [Y3: $i] :
                                ( ( ?? @ $i
                                  @ ^ [Y4: $i] :
                                      ( ( ?? @ $i
                                        @ ^ [Y5: $i] :
                                            ( ( ?? @ $i
                                              @ ^ [Y6: $i] :
                                                  ( ( ?? @ $i
                                                    @ ^ [Y7: $i] :
                                                        ( ( ?? @ $i
                                                          @ ^ [Y8: $i] :
                                                              ( ( ?? @ $i
                                                                @ ^ [Y9: $i] :
                                                                    ( ( 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 )
                                                                    & ( eiw_di @ Y9 @ mactual ) ) )
                                                              & ( eiw_di @ Y8 @ mactual ) ) )
                                                        & ( eiw_di @ Y7 @ mactual ) ) )
                                                  & ( eiw_di @ Y6 @ mactual ) ) )
                                            & ( eiw_di @ Y5 @ mactual ) ) )
                                      & ( eiw_di @ Y4 @ mactual ) ) )
                                & ( eiw_di @ Y3 @ mactual ) ) )
                          & ( eiw_di @ Y2 @ mactual ) ) )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) ) ) ) )
    | ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( ?? @ $i
                                      @ ^ [Y5: $i] :
                                          ( ( ?? @ $i
                                            @ ^ [Y6: $i] :
                                                ( ( ?? @ $i
                                                  @ ^ [Y7: $i] :
                                                      ( ( ?? @ $i
                                                        @ ^ [Y8: $i] :
                                                            ( ( ?? @ $i
                                                              @ ^ [Y9: $i] :
                                                                  ( ( 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 )
                                                                  & ( eiw_di @ Y9 @ mactual ) ) )
                                                            & ( eiw_di @ Y8 @ mactual ) ) )
                                                      & ( eiw_di @ Y7 @ mactual ) ) )
                                                & ( eiw_di @ Y6 @ mactual ) ) )
                                          & ( eiw_di @ Y5 @ mactual ) ) )
                                    & ( eiw_di @ Y4 @ mactual ) ) )
                              & ( eiw_di @ Y3 @ mactual ) ) )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) ) )
      = $true ) ),
    inference(imp_proxy_clausification,[],[f214]) ).

thf(f217,plain,
    ( ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( ?? @ $i
                                      @ ^ [Y5: $i] :
                                          ( ( ?? @ $i
                                            @ ^ [Y6: $i] :
                                                ( ( ?? @ $i
                                                  @ ^ [Y7: $i] :
                                                      ( ( ?? @ $i
                                                        @ ^ [Y8: $i] :
                                                            ( ( ?? @ $i
                                                              @ ^ [Y9: $i] :
                                                                  ( ( 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 )
                                                                  & ( eiw_di @ Y9 @ mactual ) ) )
                                                            & ( eiw_di @ Y8 @ mactual ) ) )
                                                      & ( eiw_di @ Y7 @ mactual ) ) )
                                                & ( eiw_di @ Y6 @ mactual ) ) )
                                          & ( eiw_di @ Y5 @ mactual ) ) )
                                    & ( eiw_di @ Y4 @ mactual ) ) )
                              & ( eiw_di @ Y3 @ mactual ) ) )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) ) )
      = $false )
    | ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( ?? @ $i
                                      @ ^ [Y5: $i] :
                                          ( ( ?? @ $i
                                            @ ^ [Y6: $i] :
                                                ( ( ?? @ $i
                                                  @ ^ [Y7: $i] :
                                                      ( ( ?? @ $i
                                                        @ ^ [Y8: $i] :
                                                            ( ( ?? @ $i
                                                              @ ^ [Y9: $i] :
                                                                  ( ( 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 )
                                                                  & ( eiw_di @ Y9 @ mactual ) ) )
                                                            & ( eiw_di @ Y8 @ mactual ) ) )
                                                      & ( eiw_di @ Y7 @ mactual ) ) )
                                                & ( eiw_di @ Y6 @ mactual ) ) )
                                          & ( eiw_di @ Y5 @ mactual ) ) )
                                    & ( eiw_di @ Y4 @ mactual ) ) )
                              & ( eiw_di @ Y3 @ mactual ) ) )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) ) )
      = $false ) ),
    inference(imp_proxy_clausification,[],[f215]) ).

thf(f220,plain,
    ( ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( ?? @ $i
                                      @ ^ [Y5: $i] :
                                          ( ( ?? @ $i
                                            @ ^ [Y6: $i] :
                                                ( ( ?? @ $i
                                                  @ ^ [Y7: $i] :
                                                      ( ( ?? @ $i
                                                        @ ^ [Y8: $i] :
                                                            ( ( ?? @ $i
                                                              @ ^ [Y9: $i] :
                                                                  ( ( 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 )
                                                                  & ( eiw_di @ Y9 @ mactual ) ) )
                                                            & ( eiw_di @ Y8 @ mactual ) ) )
                                                      & ( eiw_di @ Y7 @ mactual ) ) )
                                                & ( eiw_di @ Y6 @ mactual ) ) )
                                          & ( eiw_di @ Y5 @ mactual ) ) )
                                    & ( eiw_di @ Y4 @ mactual ) ) )
                              & ( eiw_di @ Y3 @ mactual ) ) )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) ) )
      = $true )
    | ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( ?? @ $i
                                      @ ^ [Y5: $i] :
                                          ( ( ?? @ $i
                                            @ ^ [Y6: $i] :
                                                ( ( ?? @ $i
                                                  @ ^ [Y7: $i] :
                                                      ( ( ?? @ $i
                                                        @ ^ [Y8: $i] :
                                                            ( ( ?? @ $i
                                                              @ ^ [Y9: $i] :
                                                                  ( ( 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 )
                                                                  & ( eiw_di @ Y9 @ mactual ) ) )
                                                            & ( eiw_di @ Y8 @ mactual ) ) )
                                                      & ( eiw_di @ Y7 @ mactual ) ) )
                                                & ( eiw_di @ Y6 @ mactual ) ) )
                                          & ( eiw_di @ Y5 @ mactual ) ) )
                                    & ( eiw_di @ Y4 @ mactual ) ) )
                              & ( eiw_di @ Y3 @ mactual ) ) )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) ) )
      = $true ) ),
    inference(imp_proxy_clausification,[],[f216]) ).

thf(f222,definition,
    ( spl0_1
  <=> ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( ?? @ $i
                                      @ ^ [Y5: $i] :
                                          ( ( ?? @ $i
                                            @ ^ [Y6: $i] :
                                                ( ( ?? @ $i
                                                  @ ^ [Y7: $i] :
                                                      ( ( ?? @ $i
                                                        @ ^ [Y8: $i] :
                                                            ( ( ?? @ $i
                                                              @ ^ [Y9: $i] :
                                                                  ( ( 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 )
                                                                  & ( eiw_di @ Y9 @ mactual ) ) )
                                                            & ( eiw_di @ Y8 @ mactual ) ) )
                                                      & ( eiw_di @ Y7 @ mactual ) ) )
                                                & ( eiw_di @ Y6 @ mactual ) ) )
                                          & ( eiw_di @ Y5 @ mactual ) ) )
                                    & ( eiw_di @ Y4 @ mactual ) ) )
                              & ( eiw_di @ Y3 @ mactual ) ) )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) ) )
      = $false ) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

thf(f223,plain,
    ( ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( ?? @ $i
                                      @ ^ [Y5: $i] :
                                          ( ( ?? @ $i
                                            @ ^ [Y6: $i] :
                                                ( ( ?? @ $i
                                                  @ ^ [Y7: $i] :
                                                      ( ( ?? @ $i
                                                        @ ^ [Y8: $i] :
                                                            ( ( ?? @ $i
                                                              @ ^ [Y9: $i] :
                                                                  ( ( 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 )
                                                                  & ( eiw_di @ Y9 @ mactual ) ) )
                                                            & ( eiw_di @ Y8 @ mactual ) ) )
                                                      & ( eiw_di @ Y7 @ mactual ) ) )
                                                & ( eiw_di @ Y6 @ mactual ) ) )
                                          & ( eiw_di @ Y5 @ mactual ) ) )
                                    & ( eiw_di @ Y4 @ mactual ) ) )
                              & ( eiw_di @ Y3 @ mactual ) ) )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) ) )
     != $false )
    | spl0_1 ),
    inference(avatar_component_clause,[],[f222]) ).

thf(f224,plain,
    ( ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( ?? @ $i
                                      @ ^ [Y5: $i] :
                                          ( ( ?? @ $i
                                            @ ^ [Y6: $i] :
                                                ( ( ?? @ $i
                                                  @ ^ [Y7: $i] :
                                                      ( ( ?? @ $i
                                                        @ ^ [Y8: $i] :
                                                            ( ( ?? @ $i
                                                              @ ^ [Y9: $i] :
                                                                  ( ( 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 )
                                                                  & ( eiw_di @ Y9 @ mactual ) ) )
                                                            & ( eiw_di @ Y8 @ mactual ) ) )
                                                      & ( eiw_di @ Y7 @ mactual ) ) )
                                                & ( eiw_di @ Y6 @ mactual ) ) )
                                          & ( eiw_di @ Y5 @ mactual ) ) )
                                    & ( eiw_di @ Y4 @ mactual ) ) )
                              & ( eiw_di @ Y3 @ mactual ) ) )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) ) )
      = $false )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f222]) ).

thf(f226,definition,
    ( spl0_2
  <=> ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( ?? @ $i
                                      @ ^ [Y5: $i] :
                                          ( ( ?? @ $i
                                            @ ^ [Y6: $i] :
                                                ( ( ?? @ $i
                                                  @ ^ [Y7: $i] :
                                                      ( ( ?? @ $i
                                                        @ ^ [Y8: $i] :
                                                            ( ( ?? @ $i
                                                              @ ^ [Y9: $i] :
                                                                  ( ( 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 )
                                                                  & ( eiw_di @ Y9 @ mactual ) ) )
                                                            & ( eiw_di @ Y8 @ mactual ) ) )
                                                      & ( eiw_di @ Y7 @ mactual ) ) )
                                                & ( eiw_di @ Y6 @ mactual ) ) )
                                          & ( eiw_di @ Y5 @ mactual ) ) )
                                    & ( eiw_di @ Y4 @ mactual ) ) )
                              & ( eiw_di @ Y3 @ mactual ) ) )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) ) )
      = $false ) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

thf(f228,plain,
    ( ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( ?? @ $i
                                      @ ^ [Y5: $i] :
                                          ( ( ?? @ $i
                                            @ ^ [Y6: $i] :
                                                ( ( ?? @ $i
                                                  @ ^ [Y7: $i] :
                                                      ( ( ?? @ $i
                                                        @ ^ [Y8: $i] :
                                                            ( ( ?? @ $i
                                                              @ ^ [Y9: $i] :
                                                                  ( ( 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 )
                                                                  & ( eiw_di @ Y9 @ mactual ) ) )
                                                            & ( eiw_di @ Y8 @ mactual ) ) )
                                                      & ( eiw_di @ Y7 @ mactual ) ) )
                                                & ( eiw_di @ Y6 @ mactual ) ) )
                                          & ( eiw_di @ Y5 @ mactual ) ) )
                                    & ( eiw_di @ Y4 @ mactual ) ) )
                              & ( eiw_di @ Y3 @ mactual ) ) )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ 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] :
        ( ( ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( ?? @ $i
                            @ ^ [Y3: $i] :
                                ( ( ?? @ $i
                                  @ ^ [Y4: $i] :
                                      ( ( ?? @ $i
                                        @ ^ [Y5: $i] :
                                            ( ( ?? @ $i
                                              @ ^ [Y6: $i] :
                                                  ( ( ?? @ $i
                                                    @ ^ [Y7: $i] :
                                                        ( ( ?? @ $i
                                                          @ ^ [Y8: $i] :
                                                              ( ( ?? @ $i
                                                                @ ^ [Y9: $i] :
                                                                    ( ( 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 )
                                                                    & ( eiw_di @ Y9 @ mactual ) ) )
                                                              & ( eiw_di @ Y8 @ mactual ) ) )
                                                        & ( eiw_di @ Y7 @ mactual ) ) )
                                                  & ( eiw_di @ Y6 @ mactual ) ) )
                                            & ( eiw_di @ Y5 @ mactual ) ) )
                                      & ( eiw_di @ Y4 @ mactual ) ) )
                                & ( eiw_di @ Y3 @ mactual ) ) )
                          & ( eiw_di @ Y2 @ mactual ) ) )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) )
          @ X1 )
        = $false )
    | ~ spl0_1 ),
    inference(pi_proxy_clausification,[],[f224]) ).

thf(f232,plain,
    ( ! [X1: $i] :
        ( $false
        = ( ( ?? @ $i
            @ ^ [Y0: $i] :
                ( ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( ?? @ $i
                        @ ^ [Y2: $i] :
                            ( ( ?? @ $i
                              @ ^ [Y3: $i] :
                                  ( ( ?? @ $i
                                    @ ^ [Y4: $i] :
                                        ( ( ?? @ $i
                                          @ ^ [Y5: $i] :
                                              ( ( ?? @ $i
                                                @ ^ [Y6: $i] :
                                                    ( ( ?? @ $i
                                                      @ ^ [Y7: $i] :
                                                          ( ( ?? @ $i
                                                            @ ^ [Y8: $i] :
                                                                ( ( 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 )
                                                                & ( eiw_di @ Y8 @ mactual ) ) )
                                                          & ( eiw_di @ Y7 @ mactual ) ) )
                                                    & ( eiw_di @ Y6 @ mactual ) ) )
                                              & ( eiw_di @ Y5 @ mactual ) ) )
                                        & ( eiw_di @ Y4 @ mactual ) ) )
                                  & ( eiw_di @ Y3 @ mactual ) ) )
                            & ( eiw_di @ Y2 @ mactual ) ) )
                      & ( eiw_di @ Y1 @ mactual ) ) )
                & ( eiw_di @ Y0 @ mactual ) ) )
          & ( eiw_di @ X1 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(beta-eta_normalization,[],[f230]) ).

thf(f234,plain,
    ( ! [X1: $i] :
        ( ( ( ?? @ $i
            @ ^ [Y0: $i] :
                ( ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( ?? @ $i
                        @ ^ [Y2: $i] :
                            ( ( ?? @ $i
                              @ ^ [Y3: $i] :
                                  ( ( ?? @ $i
                                    @ ^ [Y4: $i] :
                                        ( ( ?? @ $i
                                          @ ^ [Y5: $i] :
                                              ( ( ?? @ $i
                                                @ ^ [Y6: $i] :
                                                    ( ( ?? @ $i
                                                      @ ^ [Y7: $i] :
                                                          ( ( ?? @ $i
                                                            @ ^ [Y8: $i] :
                                                                ( ( 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 )
                                                                & ( eiw_di @ Y8 @ mactual ) ) )
                                                          & ( eiw_di @ Y7 @ mactual ) ) )
                                                    & ( eiw_di @ Y6 @ mactual ) ) )
                                              & ( eiw_di @ Y5 @ mactual ) ) )
                                        & ( eiw_di @ Y4 @ mactual ) ) )
                                  & ( eiw_di @ Y3 @ mactual ) ) )
                            & ( eiw_di @ Y2 @ mactual ) ) )
                      & ( eiw_di @ Y1 @ mactual ) ) )
                & ( eiw_di @ Y0 @ mactual ) ) )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f232]) ).

thf(f235,plain,
    ( ! [X2: $i,X1: $i] :
        ( ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( $false
          = ( ^ [Y0: $i] :
                ( ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( ?? @ $i
                        @ ^ [Y2: $i] :
                            ( ( ?? @ $i
                              @ ^ [Y3: $i] :
                                  ( ( ?? @ $i
                                    @ ^ [Y4: $i] :
                                        ( ( ?? @ $i
                                          @ ^ [Y5: $i] :
                                              ( ( ?? @ $i
                                                @ ^ [Y6: $i] :
                                                    ( ( ?? @ $i
                                                      @ ^ [Y7: $i] :
                                                          ( ( ?? @ $i
                                                            @ ^ [Y8: $i] :
                                                                ( ( 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 )
                                                                & ( eiw_di @ Y8 @ mactual ) ) )
                                                          & ( eiw_di @ Y7 @ mactual ) ) )
                                                    & ( eiw_di @ Y6 @ mactual ) ) )
                                              & ( eiw_di @ Y5 @ mactual ) ) )
                                        & ( eiw_di @ Y4 @ mactual ) ) )
                                  & ( eiw_di @ Y3 @ mactual ) ) )
                            & ( eiw_di @ Y2 @ mactual ) ) )
                      & ( eiw_di @ Y1 @ mactual ) ) )
                & ( eiw_di @ Y0 @ mactual ) )
            @ X2 ) ) )
    | ~ spl0_1 ),
    inference(pi_proxy_clausification,[],[f234]) ).

thf(f238,plain,
    ( ! [X2: $i,X1: $i] :
        ( ( ( ( ?? @ $i
              @ ^ [Y0: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y1: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y2: $i] :
                              ( ( ?? @ $i
                                @ ^ [Y3: $i] :
                                    ( ( ?? @ $i
                                      @ ^ [Y4: $i] :
                                          ( ( ?? @ $i
                                            @ ^ [Y5: $i] :
                                                ( ( ?? @ $i
                                                  @ ^ [Y6: $i] :
                                                      ( ( ?? @ $i
                                                        @ ^ [Y7: $i] :
                                                            ( ( 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 )
                                                            & ( eiw_di @ Y7 @ mactual ) ) )
                                                      & ( eiw_di @ Y6 @ mactual ) ) )
                                                & ( eiw_di @ Y5 @ mactual ) ) )
                                          & ( eiw_di @ Y4 @ mactual ) ) )
                                    & ( eiw_di @ Y3 @ mactual ) ) )
                              & ( eiw_di @ Y2 @ mactual ) ) )
                        & ( eiw_di @ Y1 @ mactual ) ) )
                  & ( eiw_di @ Y0 @ mactual ) ) )
            & ( eiw_di @ X2 @ mactual ) )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(beta-eta_normalization,[],[f235]) ).

thf(f239,plain,
    ( ! [X2: $i,X1: $i] :
        ( ( $false
          = ( ?? @ $i
            @ ^ [Y0: $i] :
                ( ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( ?? @ $i
                        @ ^ [Y2: $i] :
                            ( ( ?? @ $i
                              @ ^ [Y3: $i] :
                                  ( ( ?? @ $i
                                    @ ^ [Y4: $i] :
                                        ( ( ?? @ $i
                                          @ ^ [Y5: $i] :
                                              ( ( ?? @ $i
                                                @ ^ [Y6: $i] :
                                                    ( ( ?? @ $i
                                                      @ ^ [Y7: $i] :
                                                          ( ( 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 )
                                                          & ( eiw_di @ Y7 @ mactual ) ) )
                                                    & ( eiw_di @ Y6 @ mactual ) ) )
                                              & ( eiw_di @ Y5 @ mactual ) ) )
                                        & ( eiw_di @ Y4 @ mactual ) ) )
                                  & ( eiw_di @ Y3 @ mactual ) ) )
                            & ( eiw_di @ Y2 @ mactual ) ) )
                      & ( eiw_di @ Y1 @ mactual ) ) )
                & ( eiw_di @ Y0 @ mactual ) ) ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f238]) ).

thf(f240,plain,
    ( ! [X2: $i,X3: $i,X1: $i] :
        ( ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( $false
          = ( ^ [Y0: $i] :
                ( ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( ?? @ $i
                        @ ^ [Y2: $i] :
                            ( ( ?? @ $i
                              @ ^ [Y3: $i] :
                                  ( ( ?? @ $i
                                    @ ^ [Y4: $i] :
                                        ( ( ?? @ $i
                                          @ ^ [Y5: $i] :
                                              ( ( ?? @ $i
                                                @ ^ [Y6: $i] :
                                                    ( ( ?? @ $i
                                                      @ ^ [Y7: $i] :
                                                          ( ( 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 )
                                                          & ( eiw_di @ Y7 @ mactual ) ) )
                                                    & ( eiw_di @ Y6 @ mactual ) ) )
                                              & ( eiw_di @ Y5 @ mactual ) ) )
                                        & ( eiw_di @ Y4 @ mactual ) ) )
                                  & ( eiw_di @ Y3 @ mactual ) ) )
                            & ( eiw_di @ Y2 @ mactual ) ) )
                      & ( eiw_di @ Y1 @ mactual ) ) )
                & ( eiw_di @ Y0 @ mactual ) )
            @ X3 ) ) )
    | ~ spl0_1 ),
    inference(pi_proxy_clausification,[],[f239]) ).

thf(f243,plain,
    ( ! [X2: $i,X3: $i,X1: $i] :
        ( ( ( ( ?? @ $i
              @ ^ [Y0: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y1: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y2: $i] :
                              ( ( ?? @ $i
                                @ ^ [Y3: $i] :
                                    ( ( ?? @ $i
                                      @ ^ [Y4: $i] :
                                          ( ( ?? @ $i
                                            @ ^ [Y5: $i] :
                                                ( ( ?? @ $i
                                                  @ ^ [Y6: $i] :
                                                      ( ( 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 )
                                                      & ( eiw_di @ Y6 @ mactual ) ) )
                                                & ( eiw_di @ Y5 @ mactual ) ) )
                                          & ( eiw_di @ Y4 @ mactual ) ) )
                                    & ( eiw_di @ Y3 @ mactual ) ) )
                              & ( eiw_di @ Y2 @ mactual ) ) )
                        & ( eiw_di @ Y1 @ mactual ) ) )
                  & ( eiw_di @ Y0 @ mactual ) ) )
            & ( eiw_di @ X3 @ mactual ) )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(beta-eta_normalization,[],[f240]) ).

thf(f244,plain,
    ( ! [X2: $i,X3: $i,X1: $i] :
        ( ( ( ?? @ $i
            @ ^ [Y0: $i] :
                ( ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( ?? @ $i
                        @ ^ [Y2: $i] :
                            ( ( ?? @ $i
                              @ ^ [Y3: $i] :
                                  ( ( ?? @ $i
                                    @ ^ [Y4: $i] :
                                        ( ( ?? @ $i
                                          @ ^ [Y5: $i] :
                                              ( ( ?? @ $i
                                                @ ^ [Y6: $i] :
                                                    ( ( 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 )
                                                    & ( eiw_di @ Y6 @ mactual ) ) )
                                              & ( eiw_di @ Y5 @ mactual ) ) )
                                        & ( eiw_di @ Y4 @ mactual ) ) )
                                  & ( eiw_di @ Y3 @ mactual ) ) )
                            & ( eiw_di @ Y2 @ mactual ) ) )
                      & ( eiw_di @ Y1 @ mactual ) ) )
                & ( eiw_di @ Y0 @ mactual ) ) )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f243]) ).

thf(f245,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X4: $i] :
        ( ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( ^ [Y0: $i] :
                ( ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( ?? @ $i
                        @ ^ [Y2: $i] :
                            ( ( ?? @ $i
                              @ ^ [Y3: $i] :
                                  ( ( ?? @ $i
                                    @ ^ [Y4: $i] :
                                        ( ( ?? @ $i
                                          @ ^ [Y5: $i] :
                                              ( ( ?? @ $i
                                                @ ^ [Y6: $i] :
                                                    ( ( 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 )
                                                    & ( eiw_di @ Y6 @ mactual ) ) )
                                              & ( eiw_di @ Y5 @ mactual ) ) )
                                        & ( eiw_di @ Y4 @ mactual ) ) )
                                  & ( eiw_di @ Y3 @ mactual ) ) )
                            & ( eiw_di @ Y2 @ mactual ) ) )
                      & ( eiw_di @ Y1 @ mactual ) ) )
                & ( eiw_di @ Y0 @ mactual ) )
            @ X4 ) ) )
    | ~ spl0_1 ),
    inference(pi_proxy_clausification,[],[f244]) ).

thf(f247,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X4: $i] :
        ( ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( ( ?? @ $i
              @ ^ [Y0: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y1: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y2: $i] :
                              ( ( ?? @ $i
                                @ ^ [Y3: $i] :
                                    ( ( ?? @ $i
                                      @ ^ [Y4: $i] :
                                          ( ( ?? @ $i
                                            @ ^ [Y5: $i] :
                                                ( ( 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 @ Y5 @ mactual ) ) )
                                          & ( eiw_di @ Y4 @ mactual ) ) )
                                    & ( eiw_di @ Y3 @ mactual ) ) )
                              & ( eiw_di @ Y2 @ mactual ) ) )
                        & ( eiw_di @ Y1 @ mactual ) ) )
                  & ( eiw_di @ Y0 @ mactual ) ) )
            & ( eiw_di @ X4 @ mactual ) )
          = $false ) )
    | ~ spl0_1 ),
    inference(beta-eta_normalization,[],[f245]) ).

thf(f249,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X4: $i] :
        ( ( ( ?? @ $i
            @ ^ [Y0: $i] :
                ( ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( ?? @ $i
                        @ ^ [Y2: $i] :
                            ( ( ?? @ $i
                              @ ^ [Y3: $i] :
                                  ( ( ?? @ $i
                                    @ ^ [Y4: $i] :
                                        ( ( ?? @ $i
                                          @ ^ [Y5: $i] :
                                              ( ( 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 @ Y5 @ mactual ) ) )
                                        & ( eiw_di @ Y4 @ mactual ) ) )
                                  & ( eiw_di @ Y3 @ mactual ) ) )
                            & ( eiw_di @ Y2 @ mactual ) ) )
                      & ( eiw_di @ Y1 @ mactual ) ) )
                & ( eiw_di @ Y0 @ mactual ) ) )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f247]) ).

thf(f250,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( ^ [Y0: $i] :
                ( ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( ?? @ $i
                        @ ^ [Y2: $i] :
                            ( ( ?? @ $i
                              @ ^ [Y3: $i] :
                                  ( ( ?? @ $i
                                    @ ^ [Y4: $i] :
                                        ( ( ?? @ $i
                                          @ ^ [Y5: $i] :
                                              ( ( 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 @ Y5 @ mactual ) ) )
                                        & ( eiw_di @ Y4 @ mactual ) ) )
                                  & ( eiw_di @ Y3 @ mactual ) ) )
                            & ( eiw_di @ Y2 @ mactual ) ) )
                      & ( eiw_di @ Y1 @ mactual ) ) )
                & ( eiw_di @ Y0 @ mactual ) )
            @ X5 ) )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(pi_proxy_clausification,[],[f249]) ).

thf(f252,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X4: $i,X5: $i] :
        ( ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( ( ?? @ $i
              @ ^ [Y0: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y1: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y2: $i] :
                              ( ( ?? @ $i
                                @ ^ [Y3: $i] :
                                    ( ( ?? @ $i
                                      @ ^ [Y4: $i] :
                                          ( ( 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 )
                                          & ( eiw_di @ Y4 @ mactual ) ) )
                                    & ( eiw_di @ Y3 @ mactual ) ) )
                              & ( eiw_di @ Y2 @ mactual ) ) )
                        & ( eiw_di @ Y1 @ mactual ) ) )
                  & ( eiw_di @ Y0 @ mactual ) ) )
            & ( eiw_di @ X5 @ mactual ) )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(beta-eta_normalization,[],[f250]) ).

thf(f254,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( ?? @ $i
            @ ^ [Y0: $i] :
                ( ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( ?? @ $i
                        @ ^ [Y2: $i] :
                            ( ( ?? @ $i
                              @ ^ [Y3: $i] :
                                  ( ( ?? @ $i
                                    @ ^ [Y4: $i] :
                                        ( ( 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 )
                                        & ( eiw_di @ Y4 @ mactual ) ) )
                                  & ( eiw_di @ Y3 @ mactual ) ) )
                            & ( eiw_di @ Y2 @ mactual ) ) )
                      & ( eiw_di @ Y1 @ mactual ) ) )
                & ( eiw_di @ Y0 @ mactual ) ) ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ 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
          = ( ^ [Y0: $i] :
                ( ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( ?? @ $i
                        @ ^ [Y2: $i] :
                            ( ( ?? @ $i
                              @ ^ [Y3: $i] :
                                  ( ( ?? @ $i
                                    @ ^ [Y4: $i] :
                                        ( ( 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 )
                                        & ( eiw_di @ Y4 @ mactual ) ) )
                                  & ( eiw_di @ Y3 @ mactual ) ) )
                            & ( eiw_di @ Y2 @ mactual ) ) )
                      & ( eiw_di @ Y1 @ mactual ) ) )
                & ( eiw_di @ Y0 @ mactual ) )
            @ X6 ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(pi_proxy_clausification,[],[f254]) ).

thf(f257,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X6: $i,X4: $i,X5: $i] :
        ( ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( $false
          = ( ( ?? @ $i
              @ ^ [Y0: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y1: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y2: $i] :
                              ( ( ?? @ $i
                                @ ^ [Y3: $i] :
                                    ( ( 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 )
                                    & ( eiw_di @ Y3 @ mactual ) ) )
                              & ( eiw_di @ Y2 @ mactual ) ) )
                        & ( eiw_di @ Y1 @ mactual ) ) )
                  & ( eiw_di @ Y0 @ mactual ) ) )
            & ( eiw_di @ X6 @ mactual ) ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false ) )
    | ~ 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] :
                ( ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( ?? @ $i
                        @ ^ [Y2: $i] :
                            ( ( ?? @ $i
                              @ ^ [Y3: $i] :
                                  ( ( 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 )
                                  & ( eiw_di @ Y3 @ mactual ) ) )
                            & ( eiw_di @ Y2 @ mactual ) ) )
                      & ( eiw_di @ Y1 @ mactual ) ) )
                & ( eiw_di @ Y0 @ mactual ) ) )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f257]) ).

thf(f260,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( ^ [Y0: $i] :
                ( ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( ?? @ $i
                        @ ^ [Y2: $i] :
                            ( ( ?? @ $i
                              @ ^ [Y3: $i] :
                                  ( ( 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 )
                                  & ( eiw_di @ Y3 @ mactual ) ) )
                            & ( eiw_di @ Y2 @ mactual ) ) )
                      & ( eiw_di @ Y1 @ mactual ) ) )
                & ( eiw_di @ Y0 @ mactual ) )
            @ X7 )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false ) )
    | ~ 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 @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( ( ?? @ $i
              @ ^ [Y0: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y1: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y2: $i] :
                              ( ( 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 )
                              & ( eiw_di @ Y2 @ mactual ) ) )
                        & ( eiw_di @ Y1 @ mactual ) ) )
                  & ( eiw_di @ Y0 @ mactual ) ) )
            & ( eiw_di @ X7 @ mactual ) )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false ) )
    | ~ 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] :
                ( ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( ?? @ $i
                        @ ^ [Y2: $i] :
                            ( ( 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 )
                            & ( eiw_di @ Y2 @ mactual ) ) )
                      & ( eiw_di @ Y1 @ mactual ) ) )
                & ( eiw_di @ Y0 @ mactual ) ) ) )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false ) )
    | ~ 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 @ X5 @ mactual )
          = $false )
        | ( $false
          = ( ^ [Y0: $i] :
                ( ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( ?? @ $i
                        @ ^ [Y2: $i] :
                            ( ( 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 )
                            & ( eiw_di @ Y2 @ mactual ) ) )
                      & ( eiw_di @ Y1 @ mactual ) ) )
                & ( eiw_di @ Y0 @ mactual ) )
            @ X8 ) )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(pi_proxy_clausification,[],[f264]) ).

thf(f267,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( $false
          = ( ( ?? @ $i
              @ ^ [Y0: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y1: $i] :
                        ( ( 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 @ Y1 @ mactual ) ) )
                  & ( eiw_di @ Y0 @ mactual ) ) )
            & ( eiw_di @ X8 @ mactual ) ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ 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] :
        ( ( ( ?? @ $i
            @ ^ [Y0: $i] :
                ( ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( 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 @ Y1 @ mactual ) ) )
                & ( eiw_di @ Y0 @ mactual ) ) )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f267]) ).

thf(f270,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( ^ [Y0: $i] :
                ( ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( 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 @ Y1 @ mactual ) ) )
                & ( eiw_di @ Y0 @ mactual ) )
            @ X9 )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ 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] :
        ( ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( $false
          = ( ( ?? @ $i
              @ ^ [Y0: $i] :
                  ( ( 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 )
                  & ( eiw_di @ Y0 @ mactual ) ) )
            & ( eiw_di @ X9 @ mactual ) ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ 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] :
                ( ( 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 )
                & ( eiw_di @ Y0 @ mactual ) ) )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X8 @ 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] :
        ( ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( ^ [Y0: $i] :
                ( ( 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 )
                & ( eiw_di @ Y0 @ mactual ) )
            @ X10 )
          = $false ) )
    | ~ spl0_1 ),
    inference(pi_proxy_clausification,[],[f274]) ).

thf(f277,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( eiw_di @ X7 @ mactual )
          = $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 @ 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 @ X10 @ mactual ) )
          = $false )
        | ( ( 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] :
        ( ( ( ( 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 )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f277]) ).

thf(f280,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 )
            & ( 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 @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false ) )
    | ~ 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] :
        ( ( $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 ) ) )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false ) )
    | ~ 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 @ X10 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $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 ) )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false ) )
    | ~ 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 @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( eiw_di @ 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 )
            & ( 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 ) ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false ) )
    | ~ 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
          = ( ( 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 ) ) )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( seat @ X1 @ 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 @ X7 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( seat @ 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 )
            & ( chevy @ X6 @ mactual )
            & ( lonely @ X5 @ mactual )
            & ( way @ X5 @ mactual )
            & ( street @ X5 @ mactual )
            & ( event @ X4 @ mactual )
            & ( city @ X3 @ mactual )
            & ( hollywood @ X3 @ mactual ) ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( front @ X2 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) ) )
    | ~ 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] :
        ( ( ( eiw_di @ 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 )
            & ( 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 ) ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( $false
          = ( front @ X2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ 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] :
        ( ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( $false
          = ( front @ X2 @ 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 @ 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
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false ) )
    | ~ 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] :
        ( ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( ( eiw_di @ 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 )
            & ( 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 ) ) )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( $false
          = ( front @ X2 @ mactual ) )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false ) )
    | ~ 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] :
        ( ( ( city @ X3 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( ( 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 @ 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 )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( $false
          = ( front @ X2 @ mactual ) )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) ) )
    | ~ 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] :
        ( ( ( front @ X1 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( street @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( $false
          = ( way @ X5 @ mactual ) )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( $false
          = ( furniture @ X2 @ 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 )
            & ( dirty @ X6 @ mactual )
            & ( white @ X6 @ mactual )
            & ( car @ X6 @ mactual )
            & ( chevy @ X6 @ mactual )
            & ( lonely @ X5 @ mactual ) ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( front @ X2 @ mactual ) ) )
    | ~ 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] :
        ( ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( street @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( $false
          = ( front @ X2 @ mactual ) )
        | ( $false
          = ( way @ X5 @ mactual ) )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( lonely @ X5 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ 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 )
            & ( barrel @ X4 @ X6 @ mactual )
            & ( old @ X6 @ mactual )
            & ( dirty @ X6 @ mactual )
            & ( white @ X6 @ mactual )
            & ( car @ X6 @ mactual )
            & ( chevy @ X6 @ mactual ) ) )
        | ( $false
          = ( furniture @ X2 @ mactual ) ) )
    | ~ 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] :
        ( ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( street @ X5 @ mactual )
          = $false )
        | ( $false
          = ( way @ X5 @ mactual ) )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( lonely @ X5 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( chevy @ 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 )
            & ( 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 ) ) )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( $false
          = ( front @ X2 @ mactual ) )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ 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] :
        ( ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( street @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( car @ X6 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( lonely @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( $false
          = ( front @ X2 @ mactual ) )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( chevy @ X6 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( eiw_di @ X10 @ 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 ) ) )
        | ( $false
          = ( way @ X5 @ mactual ) ) )
    | ~ 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] :
        ( ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( car @ X6 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( $false
          = ( front @ X2 @ mactual ) )
        | ( $false
          = ( way @ X5 @ mactual ) )
        | ( ( street @ X5 @ mactual )
          = $false )
        | ( $false
          = ( white @ X6 @ mactual ) )
        | ( ( eiw_di @ X5 @ 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 )
            & ( 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 )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( chevy @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( lonely @ X5 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( ( 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] :
        ( ( $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 ) ) )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( lonely @ X5 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( ( dirty @ X6 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( $false
          = ( way @ X5 @ mactual ) )
        | ( $false
          = ( white @ X6 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( chevy @ X6 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( street @ X5 @ mactual )
          = $false )
        | ( $false
          = ( front @ X2 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( car @ X6 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ 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] :
        ( ( $false
          = ( old @ X6 @ mactual ) )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( lonely @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( car @ X6 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( $false
          = ( white @ X6 @ mactual ) )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( ( chevy @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( way @ X5 @ 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 ) )
          = $false )
        | ( $false
          = ( front @ X2 @ mactual ) )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( ( street @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( dirty @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) ) )
    | ~ 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] :
        ( ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( car @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( dirty @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( chevy @ X6 @ mactual )
          = $false )
        | ( $false
          = ( white @ X6 @ 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 ) )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( $false
          = ( old @ X6 @ mactual ) )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( lonely @ X5 @ mactual )
          = $false )
        | ( $false
          = ( way @ X5 @ mactual ) )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( street @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( barrel @ X4 @ X6 @ mactual ) )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( $false
          = ( front @ X2 @ mactual ) )
        | ( $false
          = ( furniture @ X2 @ mactual ) ) )
    | ~ 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] :
        ( ( ( front @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( street @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( $false
          = ( down @ X4 @ X5 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( $false
          = ( old @ X6 @ mactual ) )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( $false
          = ( white @ X6 @ mactual ) )
        | ( $false
          = ( front @ X2 @ mactual ) )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( car @ X6 @ mactual )
          = $false )
        | ( ( chevy @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( ( eiw_di @ 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 ) )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( dirty @ X6 @ mactual )
          = $false )
        | ( ( lonely @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( $false
          = ( way @ X5 @ mactual ) )
        | ( $false
          = ( barrel @ X4 @ X6 @ 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] :
        ( ( ( dirty @ X6 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( $false
          = ( down @ X4 @ X5 @ mactual ) )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( old @ X6 @ mactual ) )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( ( lonely @ X5 @ mactual )
          = $false )
        | ( ( street @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( ( chevy @ X6 @ mactual )
          = $false )
        | ( $false
          = ( barrel @ X4 @ X6 @ 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 ) )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( $false
          = ( white @ X6 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( $false
          = ( way @ X5 @ mactual ) )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( car @ X6 @ mactual )
          = $false )
        | ( $false
          = ( front @ X2 @ mactual ) )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false ) )
    | ~ 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
          = ( 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 )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( car @ X6 @ mactual )
          = $false )
        | ( ( lonely @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( $false
          = ( down @ X4 @ X5 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( chevy @ X6 @ mactual )
          = $false )
        | ( $false
          = ( white @ X6 @ mactual ) )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( street @ X5 @ mactual )
          = $false )
        | ( $false
          = ( barrel @ X4 @ X6 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( old @ X6 @ mactual ) )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( $false
          = ( way @ X5 @ mactual ) )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( $false
          = ( front @ X2 @ mactual ) )
        | ( ( dirty @ X6 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( $false
          = ( ~ ( qmltpeq @ X7 @ X8 @ mactual ) ) )
        | ( ( event @ X4 @ 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] :
        ( ( ( front @ X1 @ mactual )
          = $false )
        | ( ( street @ X5 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( $false
          = ( fellow @ X7 @ mactual ) )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( chevy @ X6 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( $false
          = ( front @ X2 @ mactual ) )
        | ( $false
          = ( barrel @ X4 @ X6 @ mactual ) )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( $false
          = ( down @ X4 @ X5 @ mactual ) )
        | ( ( lonely @ X5 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( way @ X5 @ mactual ) )
        | ( $false
          = ( ~ ( qmltpeq @ X7 @ X8 @ mactual ) ) )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( $false
          = ( old @ X6 @ mactual ) )
        | ( ( car @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( in @ X4 @ 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 ) )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( dirty @ X6 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( $false
          = ( white @ X6 @ mactual ) ) )
    | ~ 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
          = ( down @ X4 @ X5 @ mactual ) )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( street @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( dirty @ X6 @ mactual )
          = $false )
        | ( $false
          = ( way @ X5 @ mactual ) )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( car @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( $false
          = ( old @ X6 @ mactual ) )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( $false
          = ( barrel @ X4 @ X6 @ mactual ) )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( lonely @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( white @ X6 @ 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 )
        | ( $false
          = ( fellow @ X7 @ mactual ) )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( $false
          = ( front @ X2 @ mactual ) )
        | ( ( chevy @ X6 @ mactual )
          = $false )
        | ( ( qmltpeq @ X7 @ X8 @ mactual )
          = $true ) )
    | ~ spl0_1 ),
    inference(not_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
          = ( hollywood @ X3 @ mactual ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( $false
          = ( white @ X6 @ mactual ) )
        | ( ( man @ X7 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( car @ X6 @ mactual )
          = $false )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( $false
          = ( fellow @ X7 @ mactual ) )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ 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 ) ) )
        | ( $false
          = ( barrel @ X4 @ X6 @ mactual ) )
        | ( ( dirty @ X6 @ mactual )
          = $false )
        | ( $false
          = ( down @ X4 @ X5 @ mactual ) )
        | ( $false
          = ( old @ X6 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( way @ X5 @ mactual ) )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( $false
          = ( front @ X2 @ mactual ) )
        | ( ( lonely @ X5 @ mactual )
          = $false )
        | ( ( street @ X5 @ mactual )
          = $false )
        | ( ( qmltpeq @ X7 @ X8 @ mactual )
          = $true )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( chevy @ X6 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X1 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(and_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] :
        ( ( $false
          = ( young @ X7 @ mactual ) )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( $false
          = ( old @ X6 @ mactual ) )
        | ( $false
          = ( way @ X5 @ mactual ) )
        | ( $false
          = ( down @ X4 @ X5 @ mactual ) )
        | ( ( 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 ) ) )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( $false
          = ( front @ X2 @ mactual ) )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( qmltpeq @ X7 @ X8 @ mactual )
          = $true )
        | ( ( car @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( dirty @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ X7 @ mactual ) )
        | ( ( lonely @ X5 @ mactual )
          = $false )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( ( street @ X5 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( $false
          = ( white @ X6 @ mactual ) )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( chevy @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( man @ X7 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( $false
          = ( barrel @ X4 @ X6 @ mactual ) ) )
    | ~ 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] :
        ( ( $false
          = ( hollywood @ 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 ) ) )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( car @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( $false
          = ( white @ X6 @ mactual ) )
        | ( $false
          = ( front @ X2 @ mactual ) )
        | ( ( qmltpeq @ X7 @ X8 @ mactual )
          = $true )
        | ( ( fellow @ X8 @ mactual )
          = $false )
        | ( ( chevy @ X6 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( man @ X7 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ X7 @ mactual ) )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( $false
          = ( old @ X6 @ mactual ) )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( $false
          = ( barrel @ X4 @ X6 @ mactual ) )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( $false
          = ( way @ X5 @ mactual ) )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( dirty @ X6 @ mactual )
          = $false )
        | ( ( street @ X5 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( $false
          = ( young @ X7 @ mactual ) )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( lonely @ X5 @ mactual )
          = $false )
        | ( $false
          = ( down @ X4 @ X5 @ mactual ) )
        | ( ( eiw_di @ X5 @ 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] :
        ( ( ( front @ X1 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( $false
          = ( old @ X6 @ mactual ) )
        | ( ( man @ X7 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( $false
          = ( down @ X4 @ X5 @ mactual ) )
        | ( $false
          = ( barrel @ X4 @ X6 @ mactual ) )
        | ( ( car @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( fellow @ X8 @ mactual )
          = $false )
        | ( ( street @ X5 @ mactual )
          = $false )
        | ( $false
          = ( white @ X6 @ mactual ) )
        | ( ( dirty @ X6 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( $false
          = ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( young @ X8 @ mactual ) ) )
        | ( ( chevy @ X6 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( qmltpeq @ X7 @ X8 @ mactual )
          = $true )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( $false
          = ( front @ X2 @ mactual ) )
        | ( ( man @ X8 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ X7 @ mactual ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( lonely @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( $false
          = ( young @ X7 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( way @ X5 @ mactual ) ) )
    | ~ 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] :
        ( ( $false
          = ( white @ X6 @ mactual ) )
        | ( ( lonely @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( young @ X7 @ mactual ) )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( chevy @ X6 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( $false
          = ( down @ X4 @ X5 @ mactual ) )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( $false
          = ( barrel @ X4 @ X6 @ mactual ) )
        | ( $false
          = ( young @ X8 @ mactual ) )
        | ( ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual ) )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ X7 @ mactual ) )
        | ( $false
          = ( front @ X2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( fellow @ X8 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( way @ X5 @ mactual ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( street @ X5 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( dirty @ X6 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( man @ X7 @ mactual )
          = $false )
        | ( $false
          = ( old @ X6 @ mactual ) )
        | ( ( qmltpeq @ X7 @ X8 @ mactual )
          = $true )
        | ( ( man @ X8 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( car @ X6 @ 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] :
        ( ( ( front @ X1 @ mactual )
          = $false )
        | ( $false
          = ( barrel @ X4 @ X6 @ mactual ) )
        | ( $false
          = ( front @ X2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( $false
          = ( way @ X5 @ mactual ) )
        | ( $false
          = ( down @ X4 @ X5 @ mactual ) )
        | ( $false
          = ( fellow @ X7 @ mactual ) )
        | ( $false
          = ( white @ X6 @ mactual ) )
        | ( ( qmltpeq @ X7 @ X8 @ mactual )
          = $true )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( car @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( $false
          = ( young @ X7 @ mactual ) )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( $false
          = ( old @ X6 @ mactual ) )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( man @ X7 @ mactual )
          = $false )
        | ( ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X9 @ X1 @ mactual ) )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( $false
          = ( qmltpeq @ X7 @ X9 @ mactual ) )
        | ( ( fellow @ X8 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( man @ X8 @ mactual )
          = $false )
        | ( ( lonely @ X5 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( chevy @ X6 @ mactual )
          = $false )
        | ( ( dirty @ X6 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( street @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( $false
          = ( young @ X8 @ 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] :
        ( ( ( car @ X6 @ mactual )
          = $false )
        | ( $false
          = ( young @ X8 @ mactual ) )
        | ( $false
          = ( old @ X6 @ mactual ) )
        | ( ( fellow @ X8 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( in @ X9 @ X1 @ mactual )
          = $false )
        | ( ( chevy @ X6 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( man @ X8 @ mactual )
          = $false )
        | ( $false
          = ( front @ X2 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( dirty @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( qmltpeq @ X7 @ X8 @ mactual )
          = $true )
        | ( $false
          = ( white @ X6 @ mactual ) )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( $false
          = ( qmltpeq @ X7 @ X9 @ mactual ) )
        | ( $false
          = ( fellow @ X7 @ mactual ) )
        | ( ( lonely @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( $false
          = ( down @ X4 @ X5 @ mactual ) )
        | ( $false
          = ( barrel @ X4 @ X6 @ mactual ) )
        | ( $false
          = ( way @ X5 @ mactual ) )
        | ( $false
          = ( young @ X7 @ mactual ) )
        | ( $false
          = ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual ) ) )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( street @ X5 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( man @ X7 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) ) )
    | ~ 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] :
        ( ( $false
          = ( young @ X8 @ mactual ) )
        | ( $false
          = ( old @ X6 @ mactual ) )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( $false
          = ( way @ X5 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( ( man @ X8 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( $false
          = ( white @ X6 @ mactual ) )
        | ( $false
          = ( front @ X2 @ mactual ) )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( fellow @ X8 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( chevy @ X6 @ mactual )
          = $false )
        | ( $false
          = ( in @ X10 @ X2 @ mactual ) )
        | ( ( lonely @ X5 @ mactual )
          = $false )
        | ( $false
          = ( barrel @ X4 @ X6 @ mactual ) )
        | ( ( in @ X9 @ X1 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ X7 @ mactual ) )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( $false
          = ( qmltpeq @ X7 @ X9 @ mactual ) )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( car @ X6 @ mactual )
          = $false )
        | ( $false
          = ( young @ X7 @ mactual ) )
        | ( ( street @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( man @ X7 @ mactual )
          = $false )
        | ( ( qmltpeq @ X7 @ X8 @ mactual )
          = $true )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( qmltpeq @ X8 @ X10 @ mactual )
          = $false )
        | ( ( dirty @ X6 @ mactual )
          = $false )
        | ( $false
          = ( down @ X4 @ X5 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f309]) ).

thf(f312,definition,
    ( spl0_3
  <=> ! [X5: $i,X4: $i,X6: $i,X3: $i] :
        ( ( $false
          = ( old @ X6 @ mactual ) )
        | ( $false
          = ( down @ X4 @ X5 @ mactual ) )
        | ( ( dirty @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( car @ X6 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( $false
          = ( barrel @ X4 @ X6 @ mactual ) )
        | ( ( chevy @ X6 @ mactual )
          = $false )
        | ( $false
          = ( white @ X6 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( $false
          = ( way @ X5 @ mactual ) )
        | ( ( street @ X5 @ mactual )
          = $false )
        | ( ( lonely @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

thf(f313,plain,
    ( ! [X3: $i,X6: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( down @ X4 @ X5 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( $false
          = ( old @ X6 @ mactual ) )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( chevy @ X6 @ mactual )
          = $false )
        | ( $false
          = ( barrel @ X4 @ X6 @ mactual ) )
        | ( ( lonely @ X5 @ mactual )
          = $false )
        | ( ( dirty @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( $false
          = ( white @ X6 @ mactual ) )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( $false
          = ( way @ X5 @ mactual ) )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( street @ X5 @ mactual )
          = $false )
        | ( ( car @ X6 @ mactual )
          = $false ) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f312]) ).

thf(f315,definition,
    ( spl0_4
  <=> ! [X9: $i,X7: $i,X8: $i,X10: $i,X2: $i,X1: $i] :
        ( ( $false
          = ( young @ X8 @ mactual ) )
        | ( ( qmltpeq @ X8 @ X10 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( fellow @ X8 @ mactual )
          = $false )
        | ( $false
          = ( front @ X2 @ mactual ) )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( $false
          = ( in @ X10 @ X2 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( man @ X8 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( ( qmltpeq @ X7 @ X8 @ mactual )
          = $true )
        | ( ( man @ X7 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( $false
          = ( young @ X7 @ mactual ) )
        | ( ( in @ X9 @ X1 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( $false
          = ( qmltpeq @ X7 @ X9 @ mactual ) )
        | ( $false
          = ( fellow @ X7 @ mactual ) )
        | ( ( eiw_di @ X8 @ mactual )
          = $false ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

thf(f316,plain,
    ( ! [X2: $i,X10: $i,X1: $i,X8: $i,X9: $i,X7: $i] :
        ( ( $false
          = ( qmltpeq @ X7 @ X9 @ mactual ) )
        | ( ( in @ X9 @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( $false
          = ( in @ X10 @ X2 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( qmltpeq @ X7 @ X8 @ mactual )
          = $true )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( $false
          = ( young @ X7 @ mactual ) )
        | ( ( man @ X7 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ X7 @ mactual ) )
        | ( ( qmltpeq @ X8 @ X10 @ mactual )
          = $false )
        | ( $false
          = ( front @ X2 @ mactual ) )
        | ( ( man @ X8 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( fellow @ X8 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( $false
          = ( young @ X8 @ mactual ) ) )
    | ~ 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(f320,plain,
    ( ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( ?? @ $i
                                      @ ^ [Y5: $i] :
                                          ( ( ?? @ $i
                                            @ ^ [Y6: $i] :
                                                ( ( ?? @ $i
                                                  @ ^ [Y7: $i] :
                                                      ( ( ?? @ $i
                                                        @ ^ [Y8: $i] :
                                                            ( ( ?? @ $i
                                                              @ ^ [Y9: $i] :
                                                                  ( ( 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 )
                                                                  & ( eiw_di @ Y9 @ mactual ) ) )
                                                            & ( eiw_di @ Y8 @ mactual ) ) )
                                                      & ( eiw_di @ Y7 @ mactual ) ) )
                                                & ( eiw_di @ Y6 @ mactual ) ) )
                                          & ( eiw_di @ Y5 @ mactual ) ) )
                                    & ( eiw_di @ Y4 @ mactual ) ) )
                              & ( eiw_di @ Y3 @ mactual ) ) )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) ) )
      = $true )
    | ( $false = $true )
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f220,f224]) ).

thf(f321,plain,
    ( ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( ?? @ $i
                                      @ ^ [Y5: $i] :
                                          ( ( ?? @ $i
                                            @ ^ [Y6: $i] :
                                                ( ( ?? @ $i
                                                  @ ^ [Y7: $i] :
                                                      ( ( ?? @ $i
                                                        @ ^ [Y8: $i] :
                                                            ( ( ?? @ $i
                                                              @ ^ [Y9: $i] :
                                                                  ( ( 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 )
                                                                  & ( eiw_di @ Y9 @ mactual ) ) )
                                                            & ( eiw_di @ Y8 @ mactual ) ) )
                                                      & ( eiw_di @ Y7 @ mactual ) ) )
                                                & ( eiw_di @ Y6 @ mactual ) ) )
                                          & ( eiw_di @ Y5 @ mactual ) ) )
                                    & ( eiw_di @ Y4 @ mactual ) ) )
                              & ( eiw_di @ Y3 @ mactual ) ) )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) ) )
      = $true )
    | ~ spl0_1 ),
    inference(trivial_inequality_removal,[],[f320]) ).

thf(f322,plain,
    ( ( ( ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( ?? @ $i
                                      @ ^ [Y5: $i] :
                                          ( ( ?? @ $i
                                            @ ^ [Y6: $i] :
                                                ( ( ?? @ $i
                                                  @ ^ [Y7: $i] :
                                                      ( ( ?? @ $i
                                                        @ ^ [Y8: $i] :
                                                            ( ( ?? @ $i
                                                              @ ^ [Y9: $i] :
                                                                  ( ( 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 )
                                                                  & ( eiw_di @ Y9 @ mactual ) ) )
                                                            & ( eiw_di @ Y8 @ mactual ) ) )
                                                      & ( eiw_di @ Y7 @ mactual ) ) )
                                                & ( eiw_di @ Y6 @ mactual ) ) )
                                          & ( eiw_di @ Y5 @ mactual ) ) )
                                    & ( eiw_di @ Y4 @ mactual ) ) )
                              & ( eiw_di @ Y3 @ mactual ) ) )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) )
        @ sK1 )
      = $true )
    | ~ spl0_1 ),
    inference(sigma_proxy_clausification,[],[f321]) ).

thf(f325,plain,
    ( ( ( ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( ?? @ $i
                            @ ^ [Y3: $i] :
                                ( ( ?? @ $i
                                  @ ^ [Y4: $i] :
                                      ( ( ?? @ $i
                                        @ ^ [Y5: $i] :
                                            ( ( ?? @ $i
                                              @ ^ [Y6: $i] :
                                                  ( ( ?? @ $i
                                                    @ ^ [Y7: $i] :
                                                        ( ( ?? @ $i
                                                          @ ^ [Y8: $i] :
                                                              ( ( 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 )
                                                              & ( eiw_di @ Y8 @ mactual ) ) )
                                                        & ( eiw_di @ Y7 @ mactual ) ) )
                                                  & ( eiw_di @ Y6 @ mactual ) ) )
                                            & ( eiw_di @ Y5 @ mactual ) ) )
                                      & ( eiw_di @ Y4 @ mactual ) ) )
                                & ( eiw_di @ Y3 @ mactual ) ) )
                          & ( eiw_di @ Y2 @ mactual ) ) )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) ) )
        & ( eiw_di @ sK1 @ mactual ) )
      = $true )
    | ~ spl0_1 ),
    inference(beta-eta_normalization,[],[f322]) ).

thf(f326,plain,
    ( ( ( eiw_di @ sK1 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f325]) ).

thf(f327,plain,
    ( ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( ?? @ $i
                                      @ ^ [Y5: $i] :
                                          ( ( ?? @ $i
                                            @ ^ [Y6: $i] :
                                                ( ( ?? @ $i
                                                  @ ^ [Y7: $i] :
                                                      ( ( ?? @ $i
                                                        @ ^ [Y8: $i] :
                                                            ( ( 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 )
                                                            & ( eiw_di @ Y8 @ mactual ) ) )
                                                      & ( eiw_di @ Y7 @ mactual ) ) )
                                                & ( eiw_di @ Y6 @ mactual ) ) )
                                          & ( eiw_di @ Y5 @ mactual ) ) )
                                    & ( eiw_di @ Y4 @ mactual ) ) )
                              & ( eiw_di @ Y3 @ mactual ) ) )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) ) )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f325]) ).

thf(f330,plain,
    ( ( ( ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( ?? @ $i
                                      @ ^ [Y5: $i] :
                                          ( ( ?? @ $i
                                            @ ^ [Y6: $i] :
                                                ( ( ?? @ $i
                                                  @ ^ [Y7: $i] :
                                                      ( ( ?? @ $i
                                                        @ ^ [Y8: $i] :
                                                            ( ( 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 )
                                                            & ( eiw_di @ Y8 @ mactual ) ) )
                                                      & ( eiw_di @ Y7 @ mactual ) ) )
                                                & ( eiw_di @ Y6 @ mactual ) ) )
                                          & ( eiw_di @ Y5 @ mactual ) ) )
                                    & ( eiw_di @ Y4 @ mactual ) ) )
                              & ( eiw_di @ Y3 @ mactual ) ) )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) )
        @ sK2 )
      = $true )
    | ~ spl0_1 ),
    inference(sigma_proxy_clausification,[],[f327]) ).

thf(f333,plain,
    ( ( ( ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( ?? @ $i
                            @ ^ [Y3: $i] :
                                ( ( ?? @ $i
                                  @ ^ [Y4: $i] :
                                      ( ( ?? @ $i
                                        @ ^ [Y5: $i] :
                                            ( ( ?? @ $i
                                              @ ^ [Y6: $i] :
                                                  ( ( ?? @ $i
                                                    @ ^ [Y7: $i] :
                                                        ( ( 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 )
                                                        & ( eiw_di @ Y7 @ mactual ) ) )
                                                  & ( eiw_di @ Y6 @ mactual ) ) )
                                            & ( eiw_di @ Y5 @ mactual ) ) )
                                      & ( eiw_di @ Y4 @ mactual ) ) )
                                & ( eiw_di @ Y3 @ mactual ) ) )
                          & ( eiw_di @ Y2 @ mactual ) ) )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) ) )
        & ( eiw_di @ sK2 @ mactual ) )
      = $true )
    | ~ spl0_1 ),
    inference(beta-eta_normalization,[],[f330]) ).

thf(f334,plain,
    ( ( ( eiw_di @ sK2 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f333]) ).

thf(f335,plain,
    ( ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( ?? @ $i
                                      @ ^ [Y5: $i] :
                                          ( ( ?? @ $i
                                            @ ^ [Y6: $i] :
                                                ( ( ?? @ $i
                                                  @ ^ [Y7: $i] :
                                                      ( ( 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 )
                                                      & ( eiw_di @ Y7 @ mactual ) ) )
                                                & ( eiw_di @ Y6 @ mactual ) ) )
                                          & ( eiw_di @ Y5 @ mactual ) ) )
                                    & ( eiw_di @ Y4 @ mactual ) ) )
                              & ( eiw_di @ Y3 @ mactual ) ) )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) ) )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f333]) ).

thf(f338,plain,
    ( ( ( ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( ?? @ $i
                                      @ ^ [Y5: $i] :
                                          ( ( ?? @ $i
                                            @ ^ [Y6: $i] :
                                                ( ( ?? @ $i
                                                  @ ^ [Y7: $i] :
                                                      ( ( 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 )
                                                      & ( eiw_di @ Y7 @ mactual ) ) )
                                                & ( eiw_di @ Y6 @ mactual ) ) )
                                          & ( eiw_di @ Y5 @ mactual ) ) )
                                    & ( eiw_di @ Y4 @ mactual ) ) )
                              & ( eiw_di @ Y3 @ mactual ) ) )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) )
        @ sK3 )
      = $true )
    | ~ spl0_1 ),
    inference(sigma_proxy_clausification,[],[f335]) ).

thf(f340,plain,
    ( ( $true
      = ( ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( ?? @ $i
                            @ ^ [Y3: $i] :
                                ( ( ?? @ $i
                                  @ ^ [Y4: $i] :
                                      ( ( ?? @ $i
                                        @ ^ [Y5: $i] :
                                            ( ( ?? @ $i
                                              @ ^ [Y6: $i] :
                                                  ( ( 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 )
                                                  & ( eiw_di @ Y6 @ mactual ) ) )
                                            & ( eiw_di @ Y5 @ mactual ) ) )
                                      & ( eiw_di @ Y4 @ mactual ) ) )
                                & ( eiw_di @ Y3 @ mactual ) ) )
                          & ( eiw_di @ Y2 @ mactual ) ) )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) ) )
        & ( eiw_di @ sK3 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(beta-eta_normalization,[],[f338]) ).

thf(f342,plain,
    ( ( ( eiw_di @ sK3 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f340]) ).

thf(f343,plain,
    ( ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( ?? @ $i
                                      @ ^ [Y5: $i] :
                                          ( ( ?? @ $i
                                            @ ^ [Y6: $i] :
                                                ( ( 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 )
                                                & ( eiw_di @ Y6 @ mactual ) ) )
                                          & ( eiw_di @ Y5 @ mactual ) ) )
                                    & ( eiw_di @ Y4 @ mactual ) ) )
                              & ( eiw_di @ Y3 @ mactual ) ) )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) ) )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f340]) ).

thf(f346,plain,
    ( ( ( ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( ?? @ $i
                                      @ ^ [Y5: $i] :
                                          ( ( ?? @ $i
                                            @ ^ [Y6: $i] :
                                                ( ( 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 )
                                                & ( eiw_di @ Y6 @ mactual ) ) )
                                          & ( eiw_di @ Y5 @ mactual ) ) )
                                    & ( eiw_di @ Y4 @ mactual ) ) )
                              & ( eiw_di @ Y3 @ mactual ) ) )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) )
        @ sK4 )
      = $true )
    | ~ spl0_1 ),
    inference(sigma_proxy_clausification,[],[f343]) ).

thf(f348,plain,
    ( ( ( ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( ?? @ $i
                            @ ^ [Y3: $i] :
                                ( ( ?? @ $i
                                  @ ^ [Y4: $i] :
                                      ( ( ?? @ $i
                                        @ ^ [Y5: $i] :
                                            ( ( 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 )
                                            & ( eiw_di @ Y5 @ mactual ) ) )
                                      & ( eiw_di @ Y4 @ mactual ) ) )
                                & ( eiw_di @ Y3 @ mactual ) ) )
                          & ( eiw_di @ Y2 @ mactual ) ) )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) ) )
        & ( eiw_di @ sK4 @ mactual ) )
      = $true )
    | ~ spl0_1 ),
    inference(beta-eta_normalization,[],[f346]) ).

thf(f350,plain,
    ( ( ( eiw_di @ sK4 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f348]) ).

thf(f351,plain,
    ( ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( ?? @ $i
                                      @ ^ [Y5: $i] :
                                          ( ( 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 )
                                          & ( eiw_di @ Y5 @ mactual ) ) )
                                    & ( eiw_di @ Y4 @ mactual ) ) )
                              & ( eiw_di @ Y3 @ mactual ) ) )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) ) )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f348]) ).

thf(f354,plain,
    ( ( ( ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( ?? @ $i
                                      @ ^ [Y5: $i] :
                                          ( ( 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 )
                                          & ( eiw_di @ Y5 @ mactual ) ) )
                                    & ( eiw_di @ Y4 @ mactual ) ) )
                              & ( eiw_di @ Y3 @ mactual ) ) )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) )
        @ sK5 )
      = $true )
    | ~ spl0_1 ),
    inference(sigma_proxy_clausification,[],[f351]) ).

thf(f356,plain,
    ( ( ( ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( ?? @ $i
                            @ ^ [Y3: $i] :
                                ( ( ?? @ $i
                                  @ ^ [Y4: $i] :
                                      ( ( 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 )
                                      & ( eiw_di @ Y4 @ mactual ) ) )
                                & ( eiw_di @ Y3 @ mactual ) ) )
                          & ( eiw_di @ Y2 @ mactual ) ) )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) ) )
        & ( eiw_di @ sK5 @ mactual ) )
      = $true )
    | ~ spl0_1 ),
    inference(beta-eta_normalization,[],[f354]) ).

thf(f358,plain,
    ( ( ( eiw_di @ sK5 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f356]) ).

thf(f359,plain,
    ( ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( 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 )
                                    & ( eiw_di @ Y4 @ mactual ) ) )
                              & ( eiw_di @ Y3 @ mactual ) ) )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) ) )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f356]) ).

thf(f362,plain,
    ( ( ( ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( 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 )
                                    & ( eiw_di @ Y4 @ mactual ) ) )
                              & ( eiw_di @ Y3 @ mactual ) ) )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) )
        @ sK6 )
      = $true )
    | ~ spl0_1 ),
    inference(sigma_proxy_clausification,[],[f359]) ).

thf(f365,plain,
    ( ( ( ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( ?? @ $i
                            @ ^ [Y3: $i] :
                                ( ( 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 )
                                & ( eiw_di @ Y3 @ mactual ) ) )
                          & ( eiw_di @ Y2 @ mactual ) ) )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) ) )
        & ( eiw_di @ sK6 @ mactual ) )
      = $true )
    | ~ spl0_1 ),
    inference(beta-eta_normalization,[],[f362]) ).

thf(f366,plain,
    ( ( ( eiw_di @ sK6 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f365]) ).

thf(f367,plain,
    ( ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( 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 )
                              & ( eiw_di @ Y3 @ mactual ) ) )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) ) )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f365]) ).

thf(f370,plain,
    ( ( ( ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( 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 )
                              & ( eiw_di @ Y3 @ mactual ) ) )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) )
        @ sK7 )
      = $true )
    | ~ spl0_1 ),
    inference(sigma_proxy_clausification,[],[f367]) ).

thf(f373,plain,
    ( ( ( ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( 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 )
                          & ( eiw_di @ Y2 @ mactual ) ) )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) ) )
        & ( eiw_di @ sK7 @ mactual ) )
      = $true )
    | ~ spl0_1 ),
    inference(beta-eta_normalization,[],[f370]) ).

thf(f374,plain,
    ( ( ( eiw_di @ sK7 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f373]) ).

thf(f375,plain,
    ( ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( 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 )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) ) )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f373]) ).

thf(f378,plain,
    ( ( ( ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( 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 )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) )
        @ sK8 )
      = $true )
    | ~ spl0_1 ),
    inference(sigma_proxy_clausification,[],[f375]) ).

thf(f380,plain,
    ( ( ( ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( 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 )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) ) )
        & ( eiw_di @ sK8 @ mactual ) )
      = $true )
    | ~ spl0_1 ),
    inference(beta-eta_normalization,[],[f378]) ).

thf(f382,plain,
    ( ( ( eiw_di @ sK8 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f380]) ).

thf(f383,plain,
    ( ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( 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 )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) ) )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f380]) ).

thf(f386,plain,
    ( ( ( ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( 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 )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) )
        @ sK9 )
      = $true )
    | ~ spl0_1 ),
    inference(sigma_proxy_clausification,[],[f383]) ).

thf(f389,plain,
    ( ( ( ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( 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 )
              & ( eiw_di @ Y0 @ mactual ) ) )
        & ( eiw_di @ sK9 @ mactual ) )
      = $true )
    | ~ spl0_1 ),
    inference(beta-eta_normalization,[],[f386]) ).

thf(f390,plain,
    ( ( ( eiw_di @ sK9 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f389]) ).

thf(f391,plain,
    ( ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( 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 )
            & ( eiw_di @ Y0 @ mactual ) ) )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f389]) ).

thf(f394,plain,
    ( ( ( ^ [Y0: $i] :
            ( ( 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 )
            & ( eiw_di @ Y0 @ mactual ) )
        @ sK10 )
      = $true )
    | ~ spl0_1 ),
    inference(sigma_proxy_clausification,[],[f391]) ).

thf(f396,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 )
        & ( eiw_di @ sK10 @ mactual ) )
      = $true )
    | ~ spl0_1 ),
    inference(beta-eta_normalization,[],[f394]) ).

thf(f398,plain,
    ( ( ( eiw_di @ sK10 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f396]) ).

thf(f399,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,[],[f396]) ).

thf(f400,plain,
    ( ( ( seat @ sK1 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f399]) ).

thf(f401,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,[],[f399]) ).

thf(f402,plain,
    ( ( ( furniture @ sK1 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f401]) ).

thf(f403,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 )
        & ( furniture @ sK2 @ mactual )
        & ( seat @ sK2 @ mactual )
        & ( front @ sK1 @ mactual ) ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f401]) ).

thf(f404,plain,
    ( ( ( front @ sK1 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f403]) ).

thf(f405,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,[],[f403]) ).

thf(f406,plain,
    ( ( ( seat @ sK2 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f405]) ).

thf(f407,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,[],[f405]) ).

thf(f408,plain,
    ( ( ( furniture @ sK2 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f407]) ).

thf(f409,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 ) )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f407]) ).

thf(f410,plain,
    ( ( $true
      = ( front @ sK2 @ mactual ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f409]) ).

thf(f411,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,[],[f409]) ).

thf(f412,plain,
    ( ( ( hollywood @ sK3 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f411]) ).

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 ) )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f411]) ).

thf(f414,plain,
    ( ( ( city @ sK3 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f413]) ).

thf(f415,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,[],[f413]) ).

thf(f416,plain,
    ( ( ( event @ sK4 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f415]) ).

thf(f417,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,[],[f415]) ).

thf(f418,plain,
    ( ( ( chevy @ sK5 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f417]) ).

thf(f419,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,[],[f417]) ).

thf(f420,plain,
    ( ( ( car @ sK5 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f419]) ).

thf(f421,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,[],[f419]) ).

thf(f422,plain,
    ( ( ( white @ sK5 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f421]) ).

thf(f423,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 ) )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f421]) ).

thf(f424,plain,
    ( ( ( dirty @ sK5 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f423]) ).

thf(f425,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,[],[f423]) ).

thf(f426,plain,
    ( ( ( old @ sK5 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f425]) ).

thf(f427,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,[],[f425]) ).

thf(f428,plain,
    ( ( ( street @ sK6 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f427]) ).

thf(f429,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 ) ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f427]) ).

thf(f430,plain,
    ( ( ( way @ sK6 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f429]) ).

thf(f431,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 ) ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f429]) ).

thf(f432,plain,
    ( ( ( lonely @ sK6 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f431]) ).

thf(f433,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,[],[f431]) ).

thf(f434,plain,
    ( ( ( barrel @ sK4 @ sK5 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f433]) ).

thf(f435,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,[],[f433]) ).

thf(f436,plain,
    ( ( ( down @ sK4 @ sK6 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f435]) ).

thf(f437,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,[],[f435]) ).

thf(f438,plain,
    ( ( ( in @ sK4 @ sK3 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f437]) ).

thf(f439,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 ) )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f437]) ).

thf(f440,plain,
    ( ( ( ~ ( qmltpeq @ sK7 @ sK8 @ mactual ) )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f439]) ).

thf(f441,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 ) )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f439]) ).

thf(f442,plain,
    ( ( ( qmltpeq @ sK7 @ sK8 @ mactual )
      = $false )
    | ~ spl0_1 ),
    inference(not_proxy_clausification,[],[f440]) ).

thf(f443,plain,
    ( ( ( fellow @ sK7 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f441]) ).

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 ) )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f441]) ).

thf(f445,plain,
    ( ( ( man @ sK7 @ mactual )
      = $true )
    | ~ 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 ) )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f444]) ).

thf(f447,plain,
    ( ( ( young @ sK7 @ mactual )
      = $true )
    | ~ 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 ) )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f446]) ).

thf(f449,plain,
    ( ( ( fellow @ sK8 @ 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 ) )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f448]) ).

thf(f451,plain,
    ( ( ( man @ sK8 @ 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 ) )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f450]) ).

thf(f453,plain,
    ( ( ( young @ sK8 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f452]) ).

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

thf(f455,plain,
    ( ( ( qmltpeq @ sK7 @ sK9 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f454]) ).

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

thf(f457,plain,
    ( ( ( in @ sK9 @ sK1 @ mactual )
      = $true )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f456]) ).

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

thf(f459,plain,
    ( ( $true
      = ( qmltpeq @ sK8 @ sK10 @ mactual ) )
    | ~ spl0_1 ),
    inference(and_proxy_clausification,[],[f458]) ).

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

thf(f501,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( $false
          = ( lonely @ sK6 @ mactual ) )
        | ( $false
          = ( dirty @ X1 @ mactual ) )
        | ( $false
          = ( car @ X1 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( white @ X1 @ mactual )
          = $false )
        | ( $false = $true )
        | ( $false
          = ( city @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK4 @ mactual ) )
        | ( $false
          = ( event @ sK4 @ mactual ) )
        | ( ( eiw_di @ sK6 @ mactual )
          = $false )
        | ( ( way @ sK6 @ mactual )
          = $false )
        | ( ( in @ sK4 @ X0 @ mactual )
          = $false )
        | ( ( hollywood @ X0 @ mactual )
          = $false )
        | ( $false
          = ( chevy @ X1 @ mactual ) )
        | ( ( old @ X1 @ mactual )
          = $false )
        | ( ( barrel @ sK4 @ X1 @ mactual )
          = $false )
        | ( $false
          = ( street @ sK6 @ mactual ) ) )
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(superposition,[],[f436,f313]) ).

thf(f504,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( event @ sK4 @ mactual ) )
        | ( ( hollywood @ X0 @ mactual )
          = $false )
        | ( ( in @ sK4 @ X0 @ mactual )
          = $false )
        | ( $false
          = ( car @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK4 @ mactual ) )
        | ( $false
          = ( city @ X0 @ mactual ) )
        | ( $false
          = ( chevy @ X1 @ mactual ) )
        | ( ( old @ X1 @ mactual )
          = $false )
        | ( ( white @ X1 @ mactual )
          = $false )
        | ( ( way @ sK6 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( $false
          = ( lonely @ sK6 @ mactual ) )
        | ( ( barrel @ sK4 @ X1 @ mactual )
          = $false )
        | ( $false
          = ( street @ sK6 @ mactual ) )
        | ( ( eiw_di @ sK6 @ mactual )
          = $false )
        | ( $false
          = ( dirty @ X1 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f501]) ).

thf(f507,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( street @ sK6 @ mactual ) )
        | ( $false
          = ( dirty @ X1 @ mactual ) )
        | ( ( barrel @ sK4 @ X1 @ mactual )
          = $false )
        | ( $false
          = ( city @ X0 @ mactual ) )
        | ( ( hollywood @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ sK6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ sK4 @ mactual ) )
        | ( $false = $true )
        | ( ( white @ X1 @ mactual )
          = $false )
        | ( $false
          = ( chevy @ X1 @ mactual ) )
        | ( ( way @ sK6 @ mactual )
          = $false )
        | ( ( old @ X1 @ mactual )
          = $false )
        | ( $false
          = ( lonely @ sK6 @ mactual ) )
        | ( ( in @ sK4 @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( car @ X1 @ mactual ) )
        | ( ( eiw_di @ X1 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f504,f416]) ).

thf(f508,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( in @ sK4 @ X0 @ mactual )
          = $false )
        | ( $false
          = ( street @ sK6 @ mactual ) )
        | ( ( eiw_di @ sK6 @ mactual )
          = $false )
        | ( ( hollywood @ X0 @ mactual )
          = $false )
        | ( ( old @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( way @ sK6 @ mactual )
          = $false )
        | ( ( white @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ sK4 @ mactual ) )
        | ( $false
          = ( chevy @ X1 @ mactual ) )
        | ( ( barrel @ sK4 @ X1 @ mactual )
          = $false )
        | ( $false
          = ( car @ X1 @ mactual ) )
        | ( $false
          = ( lonely @ sK6 @ mactual ) )
        | ( $false
          = ( dirty @ X1 @ mactual ) )
        | ( $false
          = ( city @ X0 @ mactual ) ) )
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f507]) ).

thf(f511,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( eiw_di @ sK6 @ mactual )
          = $false )
        | ( $false
          = ( lonely @ sK6 @ mactual ) )
        | ( ( way @ sK6 @ mactual )
          = $false )
        | ( $false
          = ( chevy @ X1 @ mactual ) )
        | ( ( old @ X1 @ mactual )
          = $false )
        | ( $false
          = ( city @ X0 @ mactual ) )
        | ( ( in @ sK4 @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( hollywood @ X0 @ mactual )
          = $false )
        | ( $false
          = ( car @ X1 @ mactual ) )
        | ( $false
          = ( dirty @ X1 @ mactual ) )
        | ( $false = $true )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( barrel @ sK4 @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ sK4 @ mactual ) )
        | ( ( white @ X1 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f508,f428]) ).

thf(f512,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( hollywood @ X0 @ mactual )
          = $false )
        | ( ( old @ X1 @ mactual )
          = $false )
        | ( $false
          = ( chevy @ X1 @ mactual ) )
        | ( ( barrel @ sK4 @ X1 @ mactual )
          = $false )
        | ( ( way @ sK6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ sK4 @ mactual ) )
        | ( $false
          = ( dirty @ X1 @ mactual ) )
        | ( $false
          = ( lonely @ sK6 @ mactual ) )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( $false
          = ( city @ X0 @ mactual ) )
        | ( ( white @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ sK6 @ mactual )
          = $false )
        | ( $false
          = ( car @ X1 @ mactual ) )
        | ( ( in @ sK4 @ X0 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f511]) ).

thf(f515,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( eiw_di @ sK4 @ mactual ) )
        | ( $false
          = ( chevy @ X1 @ mactual ) )
        | ( ( hollywood @ X0 @ mactual )
          = $false )
        | ( $false
          = ( lonely @ sK6 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( white @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ sK6 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( $false
          = ( dirty @ X1 @ mactual ) )
        | ( $false
          = ( city @ X0 @ mactual ) )
        | ( $false = $true )
        | ( ( old @ X1 @ mactual )
          = $false )
        | ( $false
          = ( car @ X1 @ mactual ) )
        | ( ( in @ sK4 @ X0 @ mactual )
          = $false )
        | ( ( barrel @ sK4 @ X1 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f512,f430]) ).

thf(f516,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( white @ X1 @ mactual )
          = $false )
        | ( ( old @ X1 @ mactual )
          = $false )
        | ( ( barrel @ sK4 @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ sK6 @ mactual )
          = $false )
        | ( $false
          = ( dirty @ X1 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( hollywood @ X0 @ mactual )
          = $false )
        | ( $false
          = ( city @ X0 @ mactual ) )
        | ( ( in @ sK4 @ X0 @ mactual )
          = $false )
        | ( $false
          = ( car @ X1 @ mactual ) )
        | ( $false
          = ( chevy @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK4 @ mactual ) )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( $false
          = ( lonely @ sK6 @ mactual ) ) )
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f515]) ).

thf(f519,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( barrel @ sK4 @ X1 @ mactual )
          = $false )
        | ( ( in @ sK4 @ X0 @ mactual )
          = $false )
        | ( ( white @ X1 @ mactual )
          = $false )
        | ( $false
          = ( lonely @ sK6 @ mactual ) )
        | ( $false
          = ( city @ X0 @ mactual ) )
        | ( ( old @ X1 @ mactual )
          = $false )
        | ( $false
          = ( car @ X1 @ mactual ) )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( $false = $true )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( chevy @ X1 @ mactual ) )
        | ( $false
          = ( dirty @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK4 @ mactual ) )
        | ( ( hollywood @ X0 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f516,f366]) ).

thf(f520,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( old @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( hollywood @ X0 @ mactual )
          = $false )
        | ( ( barrel @ sK4 @ X1 @ mactual )
          = $false )
        | ( ( white @ X1 @ mactual )
          = $false )
        | ( ( in @ sK4 @ X0 @ mactual )
          = $false )
        | ( $false
          = ( city @ X0 @ mactual ) )
        | ( $false
          = ( chevy @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK4 @ mactual ) )
        | ( $false
          = ( lonely @ sK6 @ mactual ) )
        | ( $false
          = ( car @ X1 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( dirty @ X1 @ mactual ) ) )
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f519]) ).

thf(f523,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( lonely @ sK6 @ mactual ) )
        | ( ( hollywood @ X0 @ mactual )
          = $false )
        | ( ( in @ sK4 @ X0 @ mactual )
          = $false )
        | ( $false
          = ( dirty @ X1 @ mactual ) )
        | ( $false = $true )
        | ( $false
          = ( chevy @ X1 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( city @ X0 @ mactual ) )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( barrel @ sK4 @ X1 @ mactual )
          = $false )
        | ( ( white @ X1 @ mactual )
          = $false )
        | ( $false
          = ( car @ X1 @ mactual ) )
        | ( ( old @ X1 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f520,f350]) ).

thf(f524,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( dirty @ X1 @ mactual ) )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( $false
          = ( car @ X1 @ mactual ) )
        | ( ( white @ X1 @ mactual )
          = $false )
        | ( ( hollywood @ X0 @ mactual )
          = $false )
        | ( ( old @ X1 @ mactual )
          = $false )
        | ( $false
          = ( city @ X0 @ mactual ) )
        | ( ( barrel @ sK4 @ X1 @ mactual )
          = $false )
        | ( $false
          = ( chevy @ X1 @ mactual ) )
        | ( ( in @ sK4 @ X0 @ mactual )
          = $false )
        | ( $false
          = ( lonely @ sK6 @ mactual ) ) )
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f523]) ).

thf(f527,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( hollywood @ X0 @ mactual )
          = $false )
        | ( ( white @ X1 @ mactual )
          = $false )
        | ( ( old @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( $false
          = ( city @ X0 @ mactual ) )
        | ( $false
          = ( chevy @ X1 @ mactual ) )
        | ( ( barrel @ sK4 @ X1 @ mactual )
          = $false )
        | ( ( in @ sK4 @ X0 @ mactual )
          = $false )
        | ( $false = $true )
        | ( $false
          = ( car @ X1 @ mactual ) )
        | ( $false
          = ( dirty @ X1 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f524,f432]) ).

thf(f528,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( old @ X1 @ mactual )
          = $false )
        | ( ( hollywood @ X0 @ mactual )
          = $false )
        | ( ( barrel @ sK4 @ X1 @ mactual )
          = $false )
        | ( $false
          = ( city @ X0 @ mactual ) )
        | ( $false
          = ( car @ X1 @ mactual ) )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( $false
          = ( dirty @ X1 @ mactual ) )
        | ( $false
          = ( chevy @ X1 @ mactual ) )
        | ( ( in @ sK4 @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( white @ X1 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f527]) ).

thf(f538,definition,
    ( spl0_5
  <=> ! [X1: $i] :
        ( ( ( old @ X1 @ mactual )
          = $false )
        | ( ( white @ X1 @ mactual )
          = $false )
        | ( $false
          = ( chevy @ X1 @ mactual ) )
        | ( $false
          = ( dirty @ X1 @ mactual ) )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( $false
          = ( car @ X1 @ mactual ) )
        | ( ( barrel @ sK4 @ X1 @ mactual )
          = $false ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

thf(f539,plain,
    ( ! [X1: $i] :
        ( ( ( barrel @ sK4 @ X1 @ mactual )
          = $false )
        | ( $false
          = ( dirty @ X1 @ mactual ) )
        | ( ( white @ X1 @ mactual )
          = $false )
        | ( $false
          = ( chevy @ X1 @ mactual ) )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( $false
          = ( car @ X1 @ mactual ) )
        | ( ( old @ X1 @ mactual )
          = $false ) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f538]) ).

thf(f541,definition,
    ( spl0_6
  <=> ! [X0: $i] :
        ( ( ( hollywood @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( in @ sK4 @ X0 @ mactual )
          = $false )
        | ( $false
          = ( city @ X0 @ mactual ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

thf(f542,plain,
    ( ! [X0: $i] :
        ( ( ( in @ sK4 @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( city @ X0 @ mactual ) )
        | ( ( hollywood @ X0 @ mactual )
          = $false ) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f541]) ).

thf(f543,plain,
    ( spl0_5
    | spl0_6
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f528,f312,f222,f541,f538]) ).

thf(f548,plain,
    ( ( $false = $true )
    | ( $false
      = ( old @ sK5 @ mactual ) )
    | ( ( car @ sK5 @ mactual )
      = $false )
    | ( ( eiw_di @ sK5 @ mactual )
      = $false )
    | ( $false
      = ( white @ sK5 @ mactual ) )
    | ( $false
      = ( dirty @ sK5 @ mactual ) )
    | ( ( chevy @ sK5 @ mactual )
      = $false )
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(superposition,[],[f434,f539]) ).

thf(f549,plain,
    ( ( ( car @ sK5 @ mactual )
      = $false )
    | ( ( eiw_di @ sK5 @ mactual )
      = $false )
    | ( ( chevy @ sK5 @ mactual )
      = $false )
    | ( $false
      = ( old @ sK5 @ mactual ) )
    | ( $false
      = ( dirty @ sK5 @ mactual ) )
    | ( $false
      = ( white @ sK5 @ mactual ) )
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f548]) ).

thf(f552,plain,
    ( ( $false
      = ( dirty @ sK5 @ mactual ) )
    | ( $false
      = ( old @ sK5 @ mactual ) )
    | ( $false
      = ( white @ sK5 @ mactual ) )
    | ( ( eiw_di @ sK5 @ mactual )
      = $false )
    | ( ( chevy @ sK5 @ mactual )
      = $false )
    | ( $false = $true )
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f549,f420]) ).

thf(f553,plain,
    ( ( ( eiw_di @ sK5 @ mactual )
      = $false )
    | ( ( chevy @ sK5 @ mactual )
      = $false )
    | ( $false
      = ( white @ sK5 @ mactual ) )
    | ( $false
      = ( old @ sK5 @ mactual ) )
    | ( $false
      = ( dirty @ sK5 @ mactual ) )
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f552]) ).

thf(f556,plain,
    ( ( $false
      = ( dirty @ sK5 @ mactual ) )
    | ( $false
      = ( white @ sK5 @ mactual ) )
    | ( $false
      = ( old @ sK5 @ mactual ) )
    | ( $false = $true )
    | ( ( chevy @ sK5 @ mactual )
      = $false )
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f553,f358]) ).

thf(f557,plain,
    ( ( ( chevy @ sK5 @ mactual )
      = $false )
    | ( $false
      = ( dirty @ sK5 @ mactual ) )
    | ( $false
      = ( white @ sK5 @ mactual ) )
    | ( $false
      = ( old @ sK5 @ mactual ) )
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f556]) ).

thf(f560,plain,
    ( ( $false
      = ( old @ sK5 @ mactual ) )
    | ( $false = $true )
    | ( $false
      = ( dirty @ sK5 @ mactual ) )
    | ( $false
      = ( white @ sK5 @ mactual ) )
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f557,f418]) ).

thf(f561,plain,
    ( ( $false
      = ( old @ sK5 @ mactual ) )
    | ( $false
      = ( white @ sK5 @ mactual ) )
    | ( $false
      = ( dirty @ sK5 @ mactual ) )
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f560]) ).

thf(f564,plain,
    ( ( $false
      = ( white @ sK5 @ mactual ) )
    | ( $false = $true )
    | ( $false
      = ( dirty @ sK5 @ mactual ) )
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f561,f426]) ).

thf(f565,plain,
    ( ( $false
      = ( dirty @ sK5 @ mactual ) )
    | ( $false
      = ( white @ sK5 @ mactual ) )
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f564]) ).

thf(f568,plain,
    ( ( $false
      = ( white @ sK5 @ mactual ) )
    | ( $false = $true )
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f565,f424]) ).

thf(f569,plain,
    ( ( $false
      = ( white @ sK5 @ mactual ) )
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f568]) ).

thf(f574,plain,
    ( ( $false = $true )
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(superposition,[],[f422,f569]) ).

thf(f577,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f574]) ).

thf(f578,plain,
    ( ~ spl0_1
    | ~ spl0_5 ),
    inference(avatar_contradiction_clause,[],[f577]) ).

thf(f580,plain,
    ( ( ( city @ sK3 @ mactual )
      = $false )
    | ( $false = $true )
    | ( $false
      = ( hollywood @ sK3 @ mactual ) )
    | ( ( eiw_di @ sK3 @ mactual )
      = $false )
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(superposition,[],[f542,f438]) ).

thf(f583,plain,
    ( ( ( eiw_di @ sK3 @ mactual )
      = $false )
    | ( $false
      = ( hollywood @ sK3 @ mactual ) )
    | ( ( city @ sK3 @ mactual )
      = $false )
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(trivial_inequality_removal,[],[f580]) ).

thf(f586,plain,
    ( ( $false
      = ( hollywood @ sK3 @ mactual ) )
    | ( $false = $true )
    | ( ( city @ sK3 @ mactual )
      = $false )
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f583,f342]) ).

thf(f587,plain,
    ( ( $false
      = ( hollywood @ sK3 @ mactual ) )
    | ( ( city @ sK3 @ mactual )
      = $false )
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(trivial_inequality_removal,[],[f586]) ).

thf(f590,plain,
    ( ( ( city @ sK3 @ mactual )
      = $false )
    | ( $false = $true )
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f587,f412]) ).

thf(f591,plain,
    ( ( ( city @ sK3 @ mactual )
      = $false )
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(trivial_inequality_removal,[],[f590]) ).

thf(f594,plain,
    ( ( $false = $true )
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(superposition,[],[f591,f414]) ).

thf(f599,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(trivial_inequality_removal,[],[f594]) ).

thf(f600,plain,
    ( ~ spl0_1
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f599]) ).

thf(f623,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( man @ sK7 @ mactual )
          = $false )
        | ( ( young @ X0 @ mactual )
          = $false )
        | ( ( furniture @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( $false
          = ( in @ X2 @ X3 @ mactual ) )
        | ( ( eiw_di @ sK9 @ mactual )
          = $false )
        | ( ( fellow @ X0 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ sK7 @ mactual ) )
        | ( ( young @ sK7 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( qmltpeq @ X0 @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ sK7 @ mactual )
          = $false )
        | ( ( front @ X3 @ mactual )
          = $false )
        | ( $false
          = ( man @ X0 @ mactual ) )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( qmltpeq @ sK7 @ X0 @ mactual )
          = $true )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( $false = $true )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( in @ sK9 @ X1 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( $false
          = ( seat @ X3 @ mactual ) ) )
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(superposition,[],[f316,f455]) ).

thf(f624,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( qmltpeq @ sK7 @ X0 @ mactual )
          = $true )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( furniture @ X3 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( $false
          = ( fellow @ sK7 @ mactual ) )
        | ( ( eiw_di @ sK9 @ mactual )
          = $false )
        | ( $false
          = ( man @ X0 @ mactual ) )
        | ( $false
          = ( seat @ X3 @ mactual ) )
        | ( ( young @ sK7 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( in @ X2 @ X3 @ mactual ) )
        | ( ( man @ sK7 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( in @ sK9 @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ sK7 @ mactual )
          = $false )
        | ( ( fellow @ X0 @ mactual )
          = $false )
        | ( ( young @ X0 @ mactual )
          = $false )
        | ( ( front @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( qmltpeq @ X0 @ X2 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f623]) ).

thf(f629,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( fellow @ X0 @ mactual )
          = $false )
        | ( ( qmltpeq @ X0 @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( $false
          = ( man @ X0 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ sK9 @ mactual )
          = $false )
        | ( ( front @ X3 @ mactual )
          = $false )
        | ( ( man @ sK7 @ mactual )
          = $false )
        | ( ( eiw_di @ sK7 @ mactual )
          = $false )
        | ( ( qmltpeq @ sK7 @ X0 @ mactual )
          = $true )
        | ( $false
          = ( in @ X2 @ X3 @ mactual ) )
        | ( ( in @ sK9 @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X3 @ mactual ) )
        | ( ( young @ X0 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( ( furniture @ X3 @ mactual )
          = $false )
        | ( $false = $true )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( young @ sK7 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f624,f443]) ).

thf(f630,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( $false
          = ( seat @ X3 @ mactual ) )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( ( young @ X0 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ sK9 @ mactual )
          = $false )
        | ( ( furniture @ X3 @ mactual )
          = $false )
        | ( $false
          = ( man @ X0 @ mactual ) )
        | ( ( man @ sK7 @ mactual )
          = $false )
        | ( ( qmltpeq @ sK7 @ X0 @ mactual )
          = $true )
        | ( ( young @ sK7 @ mactual )
          = $false )
        | ( ( qmltpeq @ X0 @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ sK7 @ mactual )
          = $false )
        | ( $false
          = ( in @ X2 @ X3 @ mactual ) )
        | ( ( front @ X3 @ mactual )
          = $false )
        | ( ( fellow @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( in @ sK9 @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f629]) ).

thf(f637,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( man @ sK7 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( qmltpeq @ X0 @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ sK7 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( qmltpeq @ sK7 @ X0 @ mactual )
          = $true )
        | ( $false
          = ( in @ X2 @ X3 @ mactual ) )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( young @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X3 @ mactual ) )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( ( furniture @ X3 @ mactual )
          = $false )
        | ( ( young @ sK7 @ mactual )
          = $false )
        | ( $false
          = ( man @ X0 @ mactual ) )
        | ( ( in @ sK9 @ X1 @ mactual )
          = $false )
        | ( ( fellow @ X0 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( front @ X3 @ mactual )
          = $false )
        | ( $false = $true ) )
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f630,f390]) ).

thf(f638,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( $false
          = ( in @ X2 @ X3 @ mactual ) )
        | ( ( young @ X0 @ mactual )
          = $false )
        | ( $false
          = ( man @ X0 @ mactual ) )
        | ( ( young @ sK7 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( ( furniture @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X3 @ mactual ) )
        | ( ( eiw_di @ sK7 @ mactual )
          = $false )
        | ( ( fellow @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( qmltpeq @ X0 @ X2 @ mactual )
          = $false )
        | ( ( in @ sK9 @ X1 @ mactual )
          = $false )
        | ( ( qmltpeq @ sK7 @ X0 @ mactual )
          = $true )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( front @ X3 @ mactual )
          = $false )
        | ( ( man @ sK7 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f637]) ).

thf(f645,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( furniture @ X3 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( $false
          = ( seat @ X3 @ mactual ) )
        | ( ( man @ sK7 @ mactual )
          = $false )
        | ( ( front @ X3 @ mactual )
          = $false )
        | ( ( qmltpeq @ X0 @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( fellow @ X0 @ mactual )
          = $false )
        | ( ( qmltpeq @ sK7 @ X0 @ mactual )
          = $true )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( young @ X0 @ mactual )
          = $false )
        | ( $false
          = ( man @ X0 @ mactual ) )
        | ( $false = $true )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( in @ sK9 @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ sK7 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( in @ X2 @ X3 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f638,f447]) ).

thf(f646,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( man @ sK7 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( in @ X2 @ X3 @ mactual ) )
        | ( ( qmltpeq @ X0 @ X2 @ mactual )
          = $false )
        | ( ( furniture @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ sK7 @ mactual )
          = $false )
        | ( $false
          = ( man @ X0 @ mactual ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( front @ X3 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( ( in @ sK9 @ X1 @ mactual )
          = $false )
        | ( ( qmltpeq @ sK7 @ X0 @ mactual )
          = $true )
        | ( ( young @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X3 @ mactual ) )
        | ( ( fellow @ X0 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f645]) ).

thf(f653,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( qmltpeq @ sK7 @ X0 @ mactual )
          = $true )
        | ( ( fellow @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ sK7 @ mactual )
          = $false )
        | ( ( young @ X0 @ mactual )
          = $false )
        | ( ( furniture @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false = $true )
        | ( $false
          = ( in @ X2 @ X3 @ mactual ) )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( in @ sK9 @ X1 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X3 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( $false
          = ( man @ X0 @ mactual ) )
        | ( ( qmltpeq @ X0 @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( front @ X3 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f646,f445]) ).

thf(f654,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( $false
          = ( in @ X2 @ X3 @ mactual ) )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( fellow @ X0 @ mactual )
          = $false )
        | ( ( young @ X0 @ mactual )
          = $false )
        | ( ( qmltpeq @ sK7 @ X0 @ mactual )
          = $true )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ sK7 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X3 @ mactual ) )
        | ( ( furniture @ X3 @ mactual )
          = $false )
        | ( ( front @ X3 @ mactual )
          = $false )
        | ( ( qmltpeq @ X0 @ X2 @ mactual )
          = $false )
        | ( ( in @ sK9 @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( man @ X0 @ mactual ) ) )
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f653]) ).

thf(f661,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( furniture @ X3 @ mactual )
          = $false )
        | ( ( fellow @ X0 @ mactual )
          = $false )
        | ( ( front @ X3 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( ( qmltpeq @ X0 @ X2 @ mactual )
          = $false )
        | ( $false
          = ( in @ X2 @ X3 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( young @ X0 @ mactual )
          = $false )
        | ( ( in @ sK9 @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( $false = $true )
        | ( $false
          = ( seat @ X3 @ mactual ) )
        | ( ( qmltpeq @ sK7 @ X0 @ mactual )
          = $true )
        | ( $false
          = ( man @ X0 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f654,f374]) ).

thf(f662,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( fellow @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X3 @ mactual ) )
        | ( ( qmltpeq @ sK7 @ X0 @ mactual )
          = $true )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( $false
          = ( in @ X2 @ X3 @ mactual ) )
        | ( ( furniture @ X3 @ mactual )
          = $false )
        | ( $false
          = ( man @ X0 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( in @ sK9 @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( qmltpeq @ X0 @ X2 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( young @ X0 @ mactual )
          = $false )
        | ( ( front @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f661]) ).

thf(f726,definition,
    ( spl0_8
  <=> ! [X1: $i] :
        ( ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( in @ sK9 @ X1 @ mactual )
          = $false ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

thf(f727,plain,
    ( ! [X1: $i] :
        ( ( ( in @ sK9 @ X1 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false ) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f726]) ).

thf(f759,definition,
    ( spl0_9
  <=> ! [X2: $i,X0: $i,X3: $i] :
        ( ( ( fellow @ X0 @ mactual )
          = $false )
        | ( ( front @ X3 @ mactual )
          = $false )
        | ( ( young @ X0 @ mactual )
          = $false )
        | ( ( qmltpeq @ X0 @ X2 @ mactual )
          = $false )
        | ( $false
          = ( man @ X0 @ mactual ) )
        | ( ( qmltpeq @ sK7 @ X0 @ mactual )
          = $true )
        | ( $false
          = ( seat @ X3 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( furniture @ X3 @ mactual )
          = $false )
        | ( $false
          = ( in @ X2 @ X3 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

thf(f760,plain,
    ( ! [X2: $i,X3: $i,X0: $i] :
        ( ( $false
          = ( in @ X2 @ X3 @ mactual ) )
        | ( ( fellow @ X0 @ mactual )
          = $false )
        | ( ( front @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( qmltpeq @ X0 @ X2 @ mactual )
          = $false )
        | ( ( qmltpeq @ sK7 @ X0 @ mactual )
          = $true )
        | ( $false
          = ( man @ X0 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( furniture @ X3 @ mactual )
          = $false )
        | ( ( young @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X3 @ mactual ) ) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f759]) ).

thf(f761,plain,
    ( spl0_9
    | spl0_8
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f662,f315,f222,f726,f759]) ).

thf(f764,plain,
    ( ( $false
      = ( eiw_di @ sK1 @ mactual ) )
    | ( $false
      = ( seat @ sK1 @ mactual ) )
    | ( $false = $true )
    | ( $false
      = ( front @ sK1 @ mactual ) )
    | ( ( furniture @ sK1 @ mactual )
      = $false )
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(superposition,[],[f457,f727]) ).

thf(f765,plain,
    ( ( $false
      = ( seat @ sK1 @ mactual ) )
    | ( $false
      = ( front @ sK1 @ mactual ) )
    | ( ( furniture @ sK1 @ mactual )
      = $false )
    | ( $false
      = ( eiw_di @ sK1 @ mactual ) )
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f764]) ).

thf(f768,plain,
    ( ( $false = $true )
    | ( ( furniture @ sK1 @ mactual )
      = $false )
    | ( $false
      = ( front @ sK1 @ mactual ) )
    | ( $false
      = ( eiw_di @ sK1 @ mactual ) )
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f765,f400]) ).

thf(f769,plain,
    ( ( $false
      = ( eiw_di @ sK1 @ mactual ) )
    | ( $false
      = ( front @ sK1 @ mactual ) )
    | ( ( furniture @ sK1 @ mactual )
      = $false )
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f768]) ).

thf(f772,plain,
    ( ( ( furniture @ sK1 @ mactual )
      = $false )
    | ( $false
      = ( front @ sK1 @ mactual ) )
    | ( $false = $true )
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f769,f326]) ).

thf(f773,plain,
    ( ( ( furniture @ sK1 @ mactual )
      = $false )
    | ( $false
      = ( front @ sK1 @ mactual ) )
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f772]) ).

thf(f776,plain,
    ( ( $false = $true )
    | ( $false
      = ( front @ sK1 @ mactual ) )
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f773,f402]) ).

thf(f777,plain,
    ( ( $false
      = ( front @ sK1 @ mactual ) )
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f776]) ).

thf(f780,plain,
    ( ( $false = $true )
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(superposition,[],[f777,f404]) ).

thf(f786,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f780]) ).

thf(f787,plain,
    ( ~ spl0_1
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f786]) ).

thf(f793,plain,
    ( ! [X0: $i] :
        ( ( $false
          = ( qmltpeq @ X0 @ sK10 @ mactual ) )
        | ( ( furniture @ sK2 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( young @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ sK10 @ mactual )
          = $false )
        | ( $false
          = ( man @ X0 @ mactual ) )
        | ( $false
          = ( front @ sK2 @ mactual ) )
        | ( ( qmltpeq @ sK7 @ X0 @ mactual )
          = $true )
        | ( ( fellow @ X0 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ sK2 @ mactual ) )
        | ( $false = $true )
        | ( ( seat @ sK2 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(superposition,[],[f460,f760]) ).

thf(f795,plain,
    ( ! [X0: $i] :
        ( ( ( seat @ sK2 @ mactual )
          = $false )
        | ( ( fellow @ X0 @ mactual )
          = $false )
        | ( ( qmltpeq @ sK7 @ X0 @ mactual )
          = $true )
        | ( ( young @ X0 @ mactual )
          = $false )
        | ( ( furniture @ sK2 @ mactual )
          = $false )
        | ( $false
          = ( qmltpeq @ X0 @ sK10 @ mactual ) )
        | ( $false
          = ( front @ sK2 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ sK2 @ mactual ) )
        | ( $false
          = ( man @ X0 @ mactual ) )
        | ( ( eiw_di @ sK10 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(trivial_inequality_removal,[],[f793]) ).

thf(f802,plain,
    ( ! [X0: $i] :
        ( ( ( young @ X0 @ mactual )
          = $false )
        | ( $false = $true )
        | ( ( fellow @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( qmltpeq @ sK7 @ X0 @ mactual )
          = $true )
        | ( $false
          = ( man @ X0 @ mactual ) )
        | ( ( eiw_di @ sK10 @ mactual )
          = $false )
        | ( $false
          = ( front @ sK2 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK2 @ mactual ) )
        | ( $false
          = ( qmltpeq @ X0 @ sK10 @ mactual ) )
        | ( ( furniture @ sK2 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f795,f406]) ).

thf(f803,plain,
    ( ! [X0: $i] :
        ( ( $false
          = ( eiw_di @ sK2 @ mactual ) )
        | ( $false
          = ( man @ X0 @ mactual ) )
        | ( $false
          = ( front @ sK2 @ mactual ) )
        | ( ( qmltpeq @ sK7 @ X0 @ mactual )
          = $true )
        | ( ( furniture @ sK2 @ mactual )
          = $false )
        | ( ( eiw_di @ sK10 @ mactual )
          = $false )
        | ( ( fellow @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( young @ X0 @ mactual )
          = $false )
        | ( $false
          = ( qmltpeq @ X0 @ sK10 @ mactual ) ) )
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(trivial_inequality_removal,[],[f802]) ).

thf(f814,plain,
    ( ! [X0: $i] :
        ( ( ( qmltpeq @ sK7 @ X0 @ mactual )
          = $true )
        | ( ( furniture @ sK2 @ mactual )
          = $false )
        | ( $false
          = ( man @ X0 @ mactual ) )
        | ( ( fellow @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false = $true )
        | ( $false
          = ( front @ sK2 @ mactual ) )
        | ( ( eiw_di @ sK10 @ mactual )
          = $false )
        | ( ( young @ X0 @ mactual )
          = $false )
        | ( $false
          = ( qmltpeq @ X0 @ sK10 @ mactual ) ) )
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f803,f334]) ).

thf(f815,plain,
    ( ! [X0: $i] :
        ( ( ( qmltpeq @ sK7 @ X0 @ mactual )
          = $true )
        | ( ( eiw_di @ sK10 @ mactual )
          = $false )
        | ( $false
          = ( front @ sK2 @ mactual ) )
        | ( $false
          = ( qmltpeq @ X0 @ sK10 @ mactual ) )
        | ( ( fellow @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( young @ X0 @ mactual )
          = $false )
        | ( $false
          = ( man @ X0 @ mactual ) )
        | ( ( furniture @ sK2 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(trivial_inequality_removal,[],[f814]) ).

thf(f826,plain,
    ( ! [X0: $i] :
        ( ( $false
          = ( front @ sK2 @ mactual ) )
        | ( $false
          = ( man @ X0 @ mactual ) )
        | ( ( qmltpeq @ sK7 @ X0 @ mactual )
          = $true )
        | ( ( young @ X0 @ mactual )
          = $false )
        | ( ( furniture @ sK2 @ mactual )
          = $false )
        | ( $false
          = ( qmltpeq @ X0 @ sK10 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false = $true )
        | ( ( fellow @ X0 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f815,f398]) ).

thf(f827,plain,
    ( ! [X0: $i] :
        ( ( ( furniture @ sK2 @ mactual )
          = $false )
        | ( $false
          = ( front @ sK2 @ mactual ) )
        | ( $false
          = ( man @ X0 @ mactual ) )
        | ( ( fellow @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( young @ X0 @ mactual )
          = $false )
        | ( ( qmltpeq @ sK7 @ X0 @ mactual )
          = $true )
        | ( $false
          = ( qmltpeq @ X0 @ sK10 @ mactual ) ) )
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(trivial_inequality_removal,[],[f826]) ).

thf(f834,plain,
    ( ! [X0: $i] :
        ( ( $false
          = ( front @ sK2 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false = $true )
        | ( $false
          = ( qmltpeq @ X0 @ sK10 @ mactual ) )
        | ( ( young @ X0 @ mactual )
          = $false )
        | ( $false
          = ( man @ X0 @ mactual ) )
        | ( ( qmltpeq @ sK7 @ X0 @ mactual )
          = $true )
        | ( ( fellow @ X0 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f827,f408]) ).

thf(f835,plain,
    ( ! [X0: $i] :
        ( ( $false
          = ( man @ X0 @ mactual ) )
        | ( $false
          = ( front @ sK2 @ mactual ) )
        | ( ( young @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( qmltpeq @ X0 @ sK10 @ mactual ) )
        | ( ( fellow @ X0 @ mactual )
          = $false )
        | ( ( qmltpeq @ sK7 @ X0 @ mactual )
          = $true ) )
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(trivial_inequality_removal,[],[f834]) ).

thf(f842,plain,
    ( ! [X0: $i] :
        ( ( $false
          = ( qmltpeq @ X0 @ sK10 @ mactual ) )
        | ( ( young @ X0 @ mactual )
          = $false )
        | ( ( qmltpeq @ sK7 @ X0 @ mactual )
          = $true )
        | ( $false = $true )
        | ( $false
          = ( man @ X0 @ mactual ) )
        | ( ( fellow @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f835,f410]) ).

thf(f843,plain,
    ( ! [X0: $i] :
        ( ( $false
          = ( qmltpeq @ X0 @ sK10 @ mactual ) )
        | ( ( qmltpeq @ sK7 @ X0 @ mactual )
          = $true )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( fellow @ X0 @ mactual )
          = $false )
        | ( $false
          = ( man @ X0 @ mactual ) )
        | ( ( young @ X0 @ mactual )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(trivial_inequality_removal,[],[f842]) ).

thf(f874,plain,
    ( ( ( qmltpeq @ sK7 @ sK8 @ mactual )
      = $true )
    | ( $false = $true )
    | ( $false
      = ( young @ sK8 @ mactual ) )
    | ( ( eiw_di @ sK8 @ mactual )
      = $false )
    | ( $false
      = ( man @ sK8 @ mactual ) )
    | ( ( fellow @ sK8 @ mactual )
      = $false )
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(superposition,[],[f843,f459]) ).

thf(f878,plain,
    ( ( $false
      = ( young @ sK8 @ mactual ) )
    | ( $false
      = ( man @ sK8 @ mactual ) )
    | ( ( qmltpeq @ sK7 @ sK8 @ mactual )
      = $true )
    | ( ( fellow @ sK8 @ mactual )
      = $false )
    | ( ( eiw_di @ sK8 @ mactual )
      = $false )
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(trivial_inequality_removal,[],[f874]) ).

thf(f880,plain,
    ( ( ( fellow @ sK8 @ mactual )
      = $false )
    | ( $false = $true )
    | ( ( eiw_di @ sK8 @ mactual )
      = $false )
    | ( $false
      = ( man @ sK8 @ mactual ) )
    | ( ( qmltpeq @ sK7 @ sK8 @ mactual )
      = $true )
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f878,f453]) ).

thf(f881,plain,
    ( ( $false
      = ( man @ sK8 @ mactual ) )
    | ( ( eiw_di @ sK8 @ mactual )
      = $false )
    | ( ( fellow @ sK8 @ mactual )
      = $false )
    | ( ( qmltpeq @ sK7 @ sK8 @ mactual )
      = $true )
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(trivial_inequality_removal,[],[f880]) ).

thf(f884,plain,
    ( ( $false = $true )
    | ( ( eiw_di @ sK8 @ mactual )
      = $false )
    | ( ( qmltpeq @ sK7 @ sK8 @ mactual )
      = $true )
    | ( ( fellow @ sK8 @ mactual )
      = $false )
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f881,f451]) ).

thf(f885,plain,
    ( ( ( eiw_di @ sK8 @ mactual )
      = $false )
    | ( ( qmltpeq @ sK7 @ sK8 @ mactual )
      = $true )
    | ( ( fellow @ sK8 @ mactual )
      = $false )
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(trivial_inequality_removal,[],[f884]) ).

thf(f888,plain,
    ( ( $false = $true )
    | ( ( fellow @ sK8 @ mactual )
      = $false )
    | ( ( qmltpeq @ sK7 @ sK8 @ mactual )
      = $true )
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f885,f382]) ).

thf(f889,plain,
    ( ( ( fellow @ sK8 @ mactual )
      = $false )
    | ( ( qmltpeq @ sK7 @ sK8 @ mactual )
      = $true )
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(trivial_inequality_removal,[],[f888]) ).

thf(f892,plain,
    ( ( $false = $true )
    | ( ( qmltpeq @ sK7 @ sK8 @ mactual )
      = $true )
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f889,f449]) ).

thf(f893,plain,
    ( ( ( qmltpeq @ sK7 @ sK8 @ mactual )
      = $true )
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(trivial_inequality_removal,[],[f892]) ).

thf(f896,plain,
    ( ( $false = $true )
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f893,f442]) ).

thf(f897,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(trivial_inequality_removal,[],[f896]) ).

thf(f898,plain,
    ( ~ spl0_1
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f897]) ).

thf(f899,plain,
    ( ( ( ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( ?? @ $i
                                      @ ^ [Y5: $i] :
                                          ( ( ?? @ $i
                                            @ ^ [Y6: $i] :
                                                ( ( ?? @ $i
                                                  @ ^ [Y7: $i] :
                                                      ( ( ?? @ $i
                                                        @ ^ [Y8: $i] :
                                                            ( ( ?? @ $i
                                                              @ ^ [Y9: $i] :
                                                                  ( ( 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 )
                                                                  & ( eiw_di @ Y9 @ mactual ) ) )
                                                            & ( eiw_di @ Y8 @ mactual ) ) )
                                                      & ( eiw_di @ Y7 @ mactual ) ) )
                                                & ( eiw_di @ Y6 @ mactual ) ) )
                                          & ( eiw_di @ Y5 @ mactual ) ) )
                                    & ( eiw_di @ Y4 @ mactual ) ) )
                              & ( eiw_di @ Y3 @ mactual ) ) )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) )
        @ sK11 )
      = $true )
    | spl0_1 ),
    inference(sigma_proxy_clausification,[],[f223]) ).

thf(f902,plain,
    ( ( ( ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( ?? @ $i
                            @ ^ [Y3: $i] :
                                ( ( ?? @ $i
                                  @ ^ [Y4: $i] :
                                      ( ( ?? @ $i
                                        @ ^ [Y5: $i] :
                                            ( ( ?? @ $i
                                              @ ^ [Y6: $i] :
                                                  ( ( ?? @ $i
                                                    @ ^ [Y7: $i] :
                                                        ( ( ?? @ $i
                                                          @ ^ [Y8: $i] :
                                                              ( ( 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 )
                                                              & ( eiw_di @ Y8 @ mactual ) ) )
                                                        & ( eiw_di @ Y7 @ mactual ) ) )
                                                  & ( eiw_di @ Y6 @ mactual ) ) )
                                            & ( eiw_di @ Y5 @ mactual ) ) )
                                      & ( eiw_di @ Y4 @ mactual ) ) )
                                & ( eiw_di @ Y3 @ mactual ) ) )
                          & ( eiw_di @ Y2 @ mactual ) ) )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) ) )
        & ( eiw_di @ sK11 @ mactual ) )
      = $true )
    | spl0_1 ),
    inference(beta-eta_normalization,[],[f899]) ).

thf(f904,plain,
    ( ( ( eiw_di @ sK11 @ mactual )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f902]) ).

thf(f905,plain,
    ( ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( ?? @ $i
                                      @ ^ [Y5: $i] :
                                          ( ( ?? @ $i
                                            @ ^ [Y6: $i] :
                                                ( ( ?? @ $i
                                                  @ ^ [Y7: $i] :
                                                      ( ( ?? @ $i
                                                        @ ^ [Y8: $i] :
                                                            ( ( 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 )
                                                            & ( eiw_di @ Y8 @ mactual ) ) )
                                                      & ( eiw_di @ Y7 @ mactual ) ) )
                                                & ( eiw_di @ Y6 @ mactual ) ) )
                                          & ( eiw_di @ Y5 @ mactual ) ) )
                                    & ( eiw_di @ Y4 @ mactual ) ) )
                              & ( eiw_di @ Y3 @ mactual ) ) )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) ) )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f902]) ).

thf(f908,plain,
    ( ! [X1: $i] :
        ( $false
        = ( ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( ?? @ $i
                            @ ^ [Y3: $i] :
                                ( ( ?? @ $i
                                  @ ^ [Y4: $i] :
                                      ( ( ?? @ $i
                                        @ ^ [Y5: $i] :
                                            ( ( ?? @ $i
                                              @ ^ [Y6: $i] :
                                                  ( ( ?? @ $i
                                                    @ ^ [Y7: $i] :
                                                        ( ( ?? @ $i
                                                          @ ^ [Y8: $i] :
                                                              ( ( ?? @ $i
                                                                @ ^ [Y9: $i] :
                                                                    ( ( 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 )
                                                                    & ( eiw_di @ Y9 @ mactual ) ) )
                                                              & ( eiw_di @ Y8 @ mactual ) ) )
                                                        & ( eiw_di @ Y7 @ mactual ) ) )
                                                  & ( eiw_di @ Y6 @ mactual ) ) )
                                            & ( eiw_di @ Y5 @ mactual ) ) )
                                      & ( eiw_di @ Y4 @ mactual ) ) )
                                & ( eiw_di @ Y3 @ mactual ) ) )
                          & ( eiw_di @ Y2 @ mactual ) ) )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) )
          @ X1 ) )
    | ~ spl0_2 ),
    inference(pi_proxy_clausification,[],[f228]) ).

thf(f911,plain,
    ( ! [X1: $i] :
        ( ( ( ?? @ $i
            @ ^ [Y0: $i] :
                ( ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( ?? @ $i
                        @ ^ [Y2: $i] :
                            ( ( ?? @ $i
                              @ ^ [Y3: $i] :
                                  ( ( ?? @ $i
                                    @ ^ [Y4: $i] :
                                        ( ( ?? @ $i
                                          @ ^ [Y5: $i] :
                                              ( ( ?? @ $i
                                                @ ^ [Y6: $i] :
                                                    ( ( ?? @ $i
                                                      @ ^ [Y7: $i] :
                                                          ( ( ?? @ $i
                                                            @ ^ [Y8: $i] :
                                                                ( ( 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 )
                                                                & ( eiw_di @ Y8 @ mactual ) ) )
                                                          & ( eiw_di @ Y7 @ mactual ) ) )
                                                    & ( eiw_di @ Y6 @ mactual ) ) )
                                              & ( eiw_di @ Y5 @ mactual ) ) )
                                        & ( eiw_di @ Y4 @ mactual ) ) )
                                  & ( eiw_di @ Y3 @ mactual ) ) )
                            & ( eiw_di @ Y2 @ mactual ) ) )
                      & ( eiw_di @ Y1 @ mactual ) ) )
                & ( eiw_di @ Y0 @ mactual ) ) )
          & ( eiw_di @ X1 @ mactual ) )
        = $false )
    | ~ spl0_2 ),
    inference(beta-eta_normalization,[],[f908]) ).

thf(f912,plain,
    ( ! [X1: $i] :
        ( ( ( ?? @ $i
            @ ^ [Y0: $i] :
                ( ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( ?? @ $i
                        @ ^ [Y2: $i] :
                            ( ( ?? @ $i
                              @ ^ [Y3: $i] :
                                  ( ( ?? @ $i
                                    @ ^ [Y4: $i] :
                                        ( ( ?? @ $i
                                          @ ^ [Y5: $i] :
                                              ( ( ?? @ $i
                                                @ ^ [Y6: $i] :
                                                    ( ( ?? @ $i
                                                      @ ^ [Y7: $i] :
                                                          ( ( ?? @ $i
                                                            @ ^ [Y8: $i] :
                                                                ( ( 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 )
                                                                & ( eiw_di @ Y8 @ mactual ) ) )
                                                          & ( eiw_di @ Y7 @ mactual ) ) )
                                                    & ( eiw_di @ Y6 @ mactual ) ) )
                                              & ( eiw_di @ Y5 @ mactual ) ) )
                                        & ( eiw_di @ Y4 @ mactual ) ) )
                                  & ( eiw_di @ Y3 @ mactual ) ) )
                            & ( eiw_di @ Y2 @ mactual ) ) )
                      & ( eiw_di @ Y1 @ mactual ) ) )
                & ( eiw_di @ Y0 @ mactual ) ) )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f911]) ).

thf(f913,plain,
    ( ( ( ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( ?? @ $i
                                      @ ^ [Y5: $i] :
                                          ( ( ?? @ $i
                                            @ ^ [Y6: $i] :
                                                ( ( ?? @ $i
                                                  @ ^ [Y7: $i] :
                                                      ( ( ?? @ $i
                                                        @ ^ [Y8: $i] :
                                                            ( ( 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 )
                                                            & ( eiw_di @ Y8 @ mactual ) ) )
                                                      & ( eiw_di @ Y7 @ mactual ) ) )
                                                & ( eiw_di @ Y6 @ mactual ) ) )
                                          & ( eiw_di @ Y5 @ mactual ) ) )
                                    & ( eiw_di @ Y4 @ mactual ) ) )
                              & ( eiw_di @ Y3 @ mactual ) ) )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) )
        @ sK12 )
      = $true )
    | spl0_1 ),
    inference(sigma_proxy_clausification,[],[f905]) ).

thf(f916,plain,
    ( ( ( ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( ?? @ $i
                            @ ^ [Y3: $i] :
                                ( ( ?? @ $i
                                  @ ^ [Y4: $i] :
                                      ( ( ?? @ $i
                                        @ ^ [Y5: $i] :
                                            ( ( ?? @ $i
                                              @ ^ [Y6: $i] :
                                                  ( ( ?? @ $i
                                                    @ ^ [Y7: $i] :
                                                        ( ( 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 )
                                                        & ( eiw_di @ Y7 @ mactual ) ) )
                                                  & ( eiw_di @ Y6 @ mactual ) ) )
                                            & ( eiw_di @ Y5 @ mactual ) ) )
                                      & ( eiw_di @ Y4 @ mactual ) ) )
                                & ( eiw_di @ Y3 @ mactual ) ) )
                          & ( eiw_di @ Y2 @ mactual ) ) )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) ) )
        & ( eiw_di @ sK12 @ mactual ) )
      = $true )
    | spl0_1 ),
    inference(beta-eta_normalization,[],[f913]) ).

thf(f917,plain,
    ( ( $true
      = ( eiw_di @ sK12 @ mactual ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f916]) ).

thf(f918,plain,
    ( ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( ?? @ $i
                                      @ ^ [Y5: $i] :
                                          ( ( ?? @ $i
                                            @ ^ [Y6: $i] :
                                                ( ( ?? @ $i
                                                  @ ^ [Y7: $i] :
                                                      ( ( 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 )
                                                      & ( eiw_di @ Y7 @ mactual ) ) )
                                                & ( eiw_di @ Y6 @ mactual ) ) )
                                          & ( eiw_di @ Y5 @ mactual ) ) )
                                    & ( eiw_di @ Y4 @ mactual ) ) )
                              & ( eiw_di @ Y3 @ mactual ) ) )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) ) )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f916]) ).

thf(f919,plain,
    ( ! [X2: $i,X1: $i] :
        ( ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( ^ [Y0: $i] :
                ( ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( ?? @ $i
                        @ ^ [Y2: $i] :
                            ( ( ?? @ $i
                              @ ^ [Y3: $i] :
                                  ( ( ?? @ $i
                                    @ ^ [Y4: $i] :
                                        ( ( ?? @ $i
                                          @ ^ [Y5: $i] :
                                              ( ( ?? @ $i
                                                @ ^ [Y6: $i] :
                                                    ( ( ?? @ $i
                                                      @ ^ [Y7: $i] :
                                                          ( ( ?? @ $i
                                                            @ ^ [Y8: $i] :
                                                                ( ( 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 )
                                                                & ( eiw_di @ Y8 @ mactual ) ) )
                                                          & ( eiw_di @ Y7 @ mactual ) ) )
                                                    & ( eiw_di @ Y6 @ mactual ) ) )
                                              & ( eiw_di @ Y5 @ mactual ) ) )
                                        & ( eiw_di @ Y4 @ mactual ) ) )
                                  & ( eiw_di @ Y3 @ mactual ) ) )
                            & ( eiw_di @ Y2 @ mactual ) ) )
                      & ( eiw_di @ Y1 @ mactual ) ) )
                & ( eiw_di @ Y0 @ mactual ) )
            @ X2 )
          = $false ) )
    | ~ spl0_2 ),
    inference(pi_proxy_clausification,[],[f912]) ).

thf(f922,plain,
    ( ! [X2: $i,X1: $i] :
        ( ( $false
          = ( ( ?? @ $i
              @ ^ [Y0: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y1: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y2: $i] :
                              ( ( ?? @ $i
                                @ ^ [Y3: $i] :
                                    ( ( ?? @ $i
                                      @ ^ [Y4: $i] :
                                          ( ( ?? @ $i
                                            @ ^ [Y5: $i] :
                                                ( ( ?? @ $i
                                                  @ ^ [Y6: $i] :
                                                      ( ( ?? @ $i
                                                        @ ^ [Y7: $i] :
                                                            ( ( 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 )
                                                            & ( eiw_di @ Y7 @ mactual ) ) )
                                                      & ( eiw_di @ Y6 @ mactual ) ) )
                                                & ( eiw_di @ Y5 @ mactual ) ) )
                                          & ( eiw_di @ Y4 @ mactual ) ) )
                                    & ( eiw_di @ Y3 @ mactual ) ) )
                              & ( eiw_di @ Y2 @ mactual ) ) )
                        & ( eiw_di @ Y1 @ mactual ) ) )
                  & ( eiw_di @ Y0 @ mactual ) ) )
            & ( eiw_di @ X2 @ mactual ) ) )
        | ( ( eiw_di @ X1 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(beta-eta_normalization,[],[f919]) ).

thf(f923,plain,
    ( ! [X2: $i,X1: $i] :
        ( ( ( ?? @ $i
            @ ^ [Y0: $i] :
                ( ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( ?? @ $i
                        @ ^ [Y2: $i] :
                            ( ( ?? @ $i
                              @ ^ [Y3: $i] :
                                  ( ( ?? @ $i
                                    @ ^ [Y4: $i] :
                                        ( ( ?? @ $i
                                          @ ^ [Y5: $i] :
                                              ( ( ?? @ $i
                                                @ ^ [Y6: $i] :
                                                    ( ( ?? @ $i
                                                      @ ^ [Y7: $i] :
                                                          ( ( 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 )
                                                          & ( eiw_di @ Y7 @ mactual ) ) )
                                                    & ( eiw_di @ Y6 @ mactual ) ) )
                                              & ( eiw_di @ Y5 @ mactual ) ) )
                                        & ( eiw_di @ Y4 @ mactual ) ) )
                                  & ( eiw_di @ Y3 @ mactual ) ) )
                            & ( eiw_di @ Y2 @ mactual ) ) )
                      & ( eiw_di @ Y1 @ mactual ) ) )
                & ( eiw_di @ Y0 @ mactual ) ) )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f922]) ).

thf(f926,plain,
    ( ! [X2: $i,X3: $i,X1: $i] :
        ( ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( ^ [Y0: $i] :
                ( ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( ?? @ $i
                        @ ^ [Y2: $i] :
                            ( ( ?? @ $i
                              @ ^ [Y3: $i] :
                                  ( ( ?? @ $i
                                    @ ^ [Y4: $i] :
                                        ( ( ?? @ $i
                                          @ ^ [Y5: $i] :
                                              ( ( ?? @ $i
                                                @ ^ [Y6: $i] :
                                                    ( ( ?? @ $i
                                                      @ ^ [Y7: $i] :
                                                          ( ( 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 )
                                                          & ( eiw_di @ Y7 @ mactual ) ) )
                                                    & ( eiw_di @ Y6 @ mactual ) ) )
                                              & ( eiw_di @ Y5 @ mactual ) ) )
                                        & ( eiw_di @ Y4 @ mactual ) ) )
                                  & ( eiw_di @ Y3 @ mactual ) ) )
                            & ( eiw_di @ Y2 @ mactual ) ) )
                      & ( eiw_di @ Y1 @ mactual ) ) )
                & ( eiw_di @ Y0 @ mactual ) )
            @ X3 ) ) )
    | ~ spl0_2 ),
    inference(pi_proxy_clausification,[],[f923]) ).

thf(f928,plain,
    ( ! [X2: $i,X3: $i,X1: $i] :
        ( ( ( ( ?? @ $i
              @ ^ [Y0: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y1: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y2: $i] :
                              ( ( ?? @ $i
                                @ ^ [Y3: $i] :
                                    ( ( ?? @ $i
                                      @ ^ [Y4: $i] :
                                          ( ( ?? @ $i
                                            @ ^ [Y5: $i] :
                                                ( ( ?? @ $i
                                                  @ ^ [Y6: $i] :
                                                      ( ( 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 )
                                                      & ( eiw_di @ Y6 @ mactual ) ) )
                                                & ( eiw_di @ Y5 @ mactual ) ) )
                                          & ( eiw_di @ Y4 @ mactual ) ) )
                                    & ( eiw_di @ Y3 @ mactual ) ) )
                              & ( eiw_di @ Y2 @ mactual ) ) )
                        & ( eiw_di @ Y1 @ mactual ) ) )
                  & ( eiw_di @ Y0 @ mactual ) ) )
            & ( eiw_di @ X3 @ mactual ) )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(beta-eta_normalization,[],[f926]) ).

thf(f930,plain,
    ( ! [X2: $i,X3: $i,X1: $i] :
        ( ( $false
          = ( ?? @ $i
            @ ^ [Y0: $i] :
                ( ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( ?? @ $i
                        @ ^ [Y2: $i] :
                            ( ( ?? @ $i
                              @ ^ [Y3: $i] :
                                  ( ( ?? @ $i
                                    @ ^ [Y4: $i] :
                                        ( ( ?? @ $i
                                          @ ^ [Y5: $i] :
                                              ( ( ?? @ $i
                                                @ ^ [Y6: $i] :
                                                    ( ( 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 )
                                                    & ( eiw_di @ Y6 @ mactual ) ) )
                                              & ( eiw_di @ Y5 @ mactual ) ) )
                                        & ( eiw_di @ Y4 @ mactual ) ) )
                                  & ( eiw_di @ Y3 @ mactual ) ) )
                            & ( eiw_di @ Y2 @ mactual ) ) )
                      & ( eiw_di @ Y1 @ mactual ) ) )
                & ( eiw_di @ Y0 @ mactual ) ) ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f928]) ).

thf(f931,plain,
    ( ( ( ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( ?? @ $i
                                      @ ^ [Y5: $i] :
                                          ( ( ?? @ $i
                                            @ ^ [Y6: $i] :
                                                ( ( ?? @ $i
                                                  @ ^ [Y7: $i] :
                                                      ( ( 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 )
                                                      & ( eiw_di @ Y7 @ mactual ) ) )
                                                & ( eiw_di @ Y6 @ mactual ) ) )
                                          & ( eiw_di @ Y5 @ mactual ) ) )
                                    & ( eiw_di @ Y4 @ mactual ) ) )
                              & ( eiw_di @ Y3 @ mactual ) ) )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) )
        @ sK13 )
      = $true )
    | spl0_1 ),
    inference(sigma_proxy_clausification,[],[f918]) ).

thf(f934,plain,
    ( ( ( ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( ?? @ $i
                            @ ^ [Y3: $i] :
                                ( ( ?? @ $i
                                  @ ^ [Y4: $i] :
                                      ( ( ?? @ $i
                                        @ ^ [Y5: $i] :
                                            ( ( ?? @ $i
                                              @ ^ [Y6: $i] :
                                                  ( ( 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 )
                                                  & ( eiw_di @ Y6 @ mactual ) ) )
                                            & ( eiw_di @ Y5 @ mactual ) ) )
                                      & ( eiw_di @ Y4 @ mactual ) ) )
                                & ( eiw_di @ Y3 @ mactual ) ) )
                          & ( eiw_di @ Y2 @ mactual ) ) )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) ) )
        & ( eiw_di @ sK13 @ mactual ) )
      = $true )
    | spl0_1 ),
    inference(beta-eta_normalization,[],[f931]) ).

thf(f935,plain,
    ( ( ( eiw_di @ sK13 @ mactual )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f934]) ).

thf(f936,plain,
    ( ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( ?? @ $i
                                      @ ^ [Y5: $i] :
                                          ( ( ?? @ $i
                                            @ ^ [Y6: $i] :
                                                ( ( 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 )
                                                & ( eiw_di @ Y6 @ mactual ) ) )
                                          & ( eiw_di @ Y5 @ mactual ) ) )
                                    & ( eiw_di @ Y4 @ mactual ) ) )
                              & ( eiw_di @ Y3 @ mactual ) ) )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) ) )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f934]) ).

thf(f937,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X4: $i] :
        ( ( $false
          = ( ^ [Y0: $i] :
                ( ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( ?? @ $i
                        @ ^ [Y2: $i] :
                            ( ( ?? @ $i
                              @ ^ [Y3: $i] :
                                  ( ( ?? @ $i
                                    @ ^ [Y4: $i] :
                                        ( ( ?? @ $i
                                          @ ^ [Y5: $i] :
                                              ( ( ?? @ $i
                                                @ ^ [Y6: $i] :
                                                    ( ( 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 )
                                                    & ( eiw_di @ Y6 @ mactual ) ) )
                                              & ( eiw_di @ Y5 @ mactual ) ) )
                                        & ( eiw_di @ Y4 @ mactual ) ) )
                                  & ( eiw_di @ Y3 @ mactual ) ) )
                            & ( eiw_di @ Y2 @ mactual ) ) )
                      & ( eiw_di @ Y1 @ mactual ) ) )
                & ( eiw_di @ Y0 @ mactual ) )
            @ X4 ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(pi_proxy_clausification,[],[f930]) ).

thf(f940,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X4: $i] :
        ( ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( ( ?? @ $i
              @ ^ [Y0: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y1: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y2: $i] :
                              ( ( ?? @ $i
                                @ ^ [Y3: $i] :
                                    ( ( ?? @ $i
                                      @ ^ [Y4: $i] :
                                          ( ( ?? @ $i
                                            @ ^ [Y5: $i] :
                                                ( ( 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 @ Y5 @ mactual ) ) )
                                          & ( eiw_di @ Y4 @ mactual ) ) )
                                    & ( eiw_di @ Y3 @ mactual ) ) )
                              & ( eiw_di @ Y2 @ mactual ) ) )
                        & ( eiw_di @ Y1 @ mactual ) ) )
                  & ( eiw_di @ Y0 @ mactual ) ) )
            & ( eiw_di @ X4 @ mactual ) ) ) )
    | ~ spl0_2 ),
    inference(beta-eta_normalization,[],[f937]) ).

thf(f941,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X4: $i] :
        ( ( ( ?? @ $i
            @ ^ [Y0: $i] :
                ( ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( ?? @ $i
                        @ ^ [Y2: $i] :
                            ( ( ?? @ $i
                              @ ^ [Y3: $i] :
                                  ( ( ?? @ $i
                                    @ ^ [Y4: $i] :
                                        ( ( ?? @ $i
                                          @ ^ [Y5: $i] :
                                              ( ( 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 @ Y5 @ mactual ) ) )
                                        & ( eiw_di @ Y4 @ mactual ) ) )
                                  & ( eiw_di @ Y3 @ mactual ) ) )
                            & ( eiw_di @ Y2 @ mactual ) ) )
                      & ( eiw_di @ Y1 @ mactual ) ) )
                & ( eiw_di @ Y0 @ mactual ) ) )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f940]) ).

thf(f944,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X4: $i,X5: $i] :
        ( ( ( ^ [Y0: $i] :
                ( ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( ?? @ $i
                        @ ^ [Y2: $i] :
                            ( ( ?? @ $i
                              @ ^ [Y3: $i] :
                                  ( ( ?? @ $i
                                    @ ^ [Y4: $i] :
                                        ( ( ?? @ $i
                                          @ ^ [Y5: $i] :
                                              ( ( 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 @ Y5 @ mactual ) ) )
                                        & ( eiw_di @ Y4 @ mactual ) ) )
                                  & ( eiw_di @ Y3 @ mactual ) ) )
                            & ( eiw_di @ Y2 @ mactual ) ) )
                      & ( eiw_di @ Y1 @ mactual ) ) )
                & ( eiw_di @ Y0 @ mactual ) )
            @ X5 )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(pi_proxy_clausification,[],[f941]) ).

thf(f947,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X4: $i,X5: $i] :
        ( ( ( ( ?? @ $i
              @ ^ [Y0: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y1: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y2: $i] :
                              ( ( ?? @ $i
                                @ ^ [Y3: $i] :
                                    ( ( ?? @ $i
                                      @ ^ [Y4: $i] :
                                          ( ( 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 )
                                          & ( eiw_di @ Y4 @ mactual ) ) )
                                    & ( eiw_di @ Y3 @ mactual ) ) )
                              & ( eiw_di @ Y2 @ mactual ) ) )
                        & ( eiw_di @ Y1 @ mactual ) ) )
                  & ( eiw_di @ Y0 @ mactual ) ) )
            & ( eiw_di @ X5 @ mactual ) )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(beta-eta_normalization,[],[f944]) ).

thf(f948,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( ?? @ $i
            @ ^ [Y0: $i] :
                ( ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( ?? @ $i
                        @ ^ [Y2: $i] :
                            ( ( ?? @ $i
                              @ ^ [Y3: $i] :
                                  ( ( ?? @ $i
                                    @ ^ [Y4: $i] :
                                        ( ( 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 )
                                        & ( eiw_di @ Y4 @ mactual ) ) )
                                  & ( eiw_di @ Y3 @ mactual ) ) )
                            & ( eiw_di @ Y2 @ mactual ) ) )
                      & ( eiw_di @ Y1 @ mactual ) ) )
                & ( eiw_di @ Y0 @ mactual ) ) ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f947]) ).

thf(f949,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X6: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( ^ [Y0: $i] :
                ( ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( ?? @ $i
                        @ ^ [Y2: $i] :
                            ( ( ?? @ $i
                              @ ^ [Y3: $i] :
                                  ( ( ?? @ $i
                                    @ ^ [Y4: $i] :
                                        ( ( 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 )
                                        & ( eiw_di @ Y4 @ mactual ) ) )
                                  & ( eiw_di @ Y3 @ mactual ) ) )
                            & ( eiw_di @ Y2 @ mactual ) ) )
                      & ( eiw_di @ Y1 @ mactual ) ) )
                & ( eiw_di @ Y0 @ mactual ) )
            @ X6 ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(pi_proxy_clausification,[],[f948]) ).

thf(f951,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X6: $i,X4: $i,X5: $i] :
        ( ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( ( ?? @ $i
              @ ^ [Y0: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y1: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y2: $i] :
                              ( ( ?? @ $i
                                @ ^ [Y3: $i] :
                                    ( ( 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 )
                                    & ( eiw_di @ Y3 @ mactual ) ) )
                              & ( eiw_di @ Y2 @ mactual ) ) )
                        & ( eiw_di @ Y1 @ mactual ) ) )
                  & ( eiw_di @ Y0 @ mactual ) ) )
            & ( eiw_di @ X6 @ mactual ) ) )
        | ( ( eiw_di @ X5 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(beta-eta_normalization,[],[f949]) ).

thf(f953,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X6: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( ?? @ $i
            @ ^ [Y0: $i] :
                ( ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( ?? @ $i
                        @ ^ [Y2: $i] :
                            ( ( ?? @ $i
                              @ ^ [Y3: $i] :
                                  ( ( 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 )
                                  & ( eiw_di @ Y3 @ mactual ) ) )
                            & ( eiw_di @ Y2 @ mactual ) ) )
                      & ( eiw_di @ Y1 @ mactual ) ) )
                & ( eiw_di @ Y0 @ mactual ) ) ) )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f951]) ).

thf(f954,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( ^ [Y0: $i] :
                ( ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( ?? @ $i
                        @ ^ [Y2: $i] :
                            ( ( ?? @ $i
                              @ ^ [Y3: $i] :
                                  ( ( 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 )
                                  & ( eiw_di @ Y3 @ mactual ) ) )
                            & ( eiw_di @ Y2 @ mactual ) ) )
                      & ( eiw_di @ Y1 @ mactual ) ) )
                & ( eiw_di @ Y0 @ mactual ) )
            @ X7 ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(pi_proxy_clausification,[],[f953]) ).

thf(f956,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( ( ?? @ $i
              @ ^ [Y0: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y1: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y2: $i] :
                              ( ( 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 @ Y2 @ mactual ) ) )
                        & ( eiw_di @ Y1 @ mactual ) ) )
                  & ( eiw_di @ Y0 @ mactual ) ) )
            & ( eiw_di @ X7 @ mactual ) )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(beta-eta_normalization,[],[f954]) ).

thf(f958,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( ?? @ $i
            @ ^ [Y0: $i] :
                ( ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( ?? @ $i
                        @ ^ [Y2: $i] :
                            ( ( 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 @ Y2 @ mactual ) ) )
                      & ( eiw_di @ Y1 @ mactual ) ) )
                & ( eiw_di @ Y0 @ mactual ) ) )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f956]) ).

thf(f959,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( $false
          = ( ^ [Y0: $i] :
                ( ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( ?? @ $i
                        @ ^ [Y2: $i] :
                            ( ( 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 @ Y2 @ mactual ) ) )
                      & ( eiw_di @ Y1 @ mactual ) ) )
                & ( eiw_di @ Y0 @ mactual ) )
            @ X8 ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(pi_proxy_clausification,[],[f958]) ).

thf(f962,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( ( ?? @ $i
              @ ^ [Y0: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y1: $i] :
                        ( ( 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 )
                        & ( eiw_di @ Y1 @ mactual ) ) )
                  & ( eiw_di @ Y0 @ mactual ) ) )
            & ( eiw_di @ X8 @ mactual ) )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(beta-eta_normalization,[],[f959]) ).

thf(f963,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( ?? @ $i
            @ ^ [Y0: $i] :
                ( ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( 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 )
                      & ( eiw_di @ Y1 @ mactual ) ) )
                & ( eiw_di @ Y0 @ mactual ) ) ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f962]) ).

thf(f964,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( ^ [Y0: $i] :
                ( ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( 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 )
                      & ( eiw_di @ Y1 @ mactual ) ) )
                & ( eiw_di @ Y0 @ mactual ) )
            @ X9 )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(pi_proxy_clausification,[],[f963]) ).

thf(f967,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( ( ?? @ $i
              @ ^ [Y0: $i] :
                  ( ( 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 )
                  & ( eiw_di @ Y0 @ mactual ) ) )
            & ( eiw_di @ X9 @ mactual ) ) )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(beta-eta_normalization,[],[f964]) ).

thf(f968,plain,
    ( ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( ?? @ $i
            @ ^ [Y0: $i] :
                ( ( 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 )
                & ( eiw_di @ Y0 @ mactual ) ) )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f967]) ).

thf(f969,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 @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( ^ [Y0: $i] :
                ( ( 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 )
                & ( eiw_di @ Y0 @ mactual ) )
            @ X10 )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(pi_proxy_clausification,[],[f968]) ).

thf(f972,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 )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ 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 )
            & ( eiw_di @ X10 @ mactual ) )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(beta-eta_normalization,[],[f969]) ).

thf(f973,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ 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 )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f972]) ).

thf(f974,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( seat @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ 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 @ 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 ) )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f973]) ).

thf(f975,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( seat @ X1 @ mactual )
          = $false )
        | ( $false
          = ( ( 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 ) ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f974]) ).

thf(f976,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( eiw_di @ X8 @ mactual )
          = $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 @ 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 @ X7 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f975]) ).

thf(f977,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( front @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X8 @ 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 @ 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 ) ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X1 @ mactual ) ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f976]) ).

thf(f978,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 ) )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f977]) ).

thf(f979,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 )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( front @ 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 @ 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 )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X8 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f978]) ).

thf(f980,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( front @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( $false
          = ( front @ X2 @ mactual ) )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ 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 )
            & ( 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 )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X8 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f979]) ).

thf(f981,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
          = ( front @ X2 @ mactual ) )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $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 @ 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 )
        | ( ( eiw_di @ X2 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f980]) ).

thf(f982,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( $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 ) ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( $false
          = ( front @ X2 @ mactual ) ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f981]) ).

thf(f983,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( event @ X4 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( $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 )
            & ( old @ X5 @ mactual )
            & ( dirty @ X5 @ mactual )
            & ( white @ X5 @ mactual )
            & ( car @ X5 @ mactual ) ) )
        | ( $false
          = ( front @ X2 @ mactual ) )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( chevy @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f982]) ).

thf(f984,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( front @ X1 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( ( car @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( chevy @ X5 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( front @ 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 @ 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 )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( eiw_di @ X1 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f983]) ).

thf(f985,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( car @ X5 @ mactual )
          = $false )
        | ( ( white @ X5 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( $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 ) ) )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( chevy @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( front @ X2 @ mactual ) ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f984]) ).

thf(f986,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( dirty @ X5 @ mactual ) )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ 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 ) )
          = $false )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( $false
          = ( front @ X2 @ mactual ) )
        | ( ( car @ X5 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( ( white @ X5 @ mactual )
          = $false )
        | ( ( chevy @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f985]) ).

thf(f987,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( old @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( white @ X5 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( $false
          = ( front @ X2 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( ( car @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ 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 ) )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( $false
          = ( dirty @ X5 @ mactual ) )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( chevy @ X5 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f986]) ).

thf(f988,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( chevy @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( car @ X5 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( front @ X1 @ 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 )
            & ( way @ X6 @ mactual ) ) )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( street @ X6 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( $false
          = ( front @ X2 @ mactual ) )
        | ( ( old @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( white @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( $false
          = ( dirty @ X5 @ mactual ) ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f987]) ).

thf(f989,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
          = ( dirty @ X5 @ mactual ) )
        | ( $false
          = ( front @ 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 ) ) )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( car @ X5 @ mactual )
          = $false )
        | ( ( street @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( chevy @ X5 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( way @ X6 @ mactual ) )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( white @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( old @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f988]) ).

thf(f990,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ 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 @ X6 @ mactual )
            & ( barrel @ X4 @ X5 @ mactual ) ) )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( $false
          = ( way @ X6 @ mactual ) )
        | ( $false
          = ( dirty @ X5 @ mactual ) )
        | ( ( street @ X6 @ mactual )
          = $false )
        | ( ( white @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( lonely @ X6 @ mactual )
          = $false )
        | ( ( chevy @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( ( car @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( old @ X5 @ mactual )
          = $false )
        | ( $false
          = ( front @ X2 @ mactual ) )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f989]) ).

thf(f991,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( car @ X5 @ mactual )
          = $false )
        | ( ( old @ X5 @ mactual )
          = $false )
        | ( ( chevy @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( dirty @ X5 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( $false
          = ( way @ X6 @ mactual ) )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( lonely @ 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 )
            & ( young @ X7 @ mactual )
            & ( man @ X7 @ mactual )
            & ( fellow @ X7 @ mactual )
            & ~ ( qmltpeq @ X7 @ X8 @ mactual )
            & ( in @ X4 @ X3 @ mactual )
            & ( down @ X4 @ X6 @ mactual ) ) )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( $false
          = ( front @ X2 @ mactual ) )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( barrel @ X4 @ X5 @ mactual )
          = $false )
        | ( ( white @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( street @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X1 @ mactual ) ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f990]) ).

thf(f992,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 )
        | ( ( down @ X4 @ X6 @ mactual )
          = $false )
        | ( $false
          = ( front @ X2 @ mactual ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( way @ X6 @ mactual ) )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( ( street @ X6 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( $false
          = ( dirty @ X5 @ mactual ) )
        | ( ( old @ X5 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( white @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( chevy @ X5 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( car @ X5 @ mactual )
          = $false )
        | ( ( lonely @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( barrel @ X4 @ X5 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $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 ) )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f991]) ).

thf(f993,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( white @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( $false
          = ( dirty @ X5 @ mactual ) )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( chevy @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( car @ X5 @ mactual )
          = $false )
        | ( ( down @ X4 @ X6 @ mactual )
          = $false )
        | ( ( street @ X6 @ mactual )
          = $false )
        | ( $false
          = ( way @ X6 @ mactual ) )
        | ( $false
          = ( front @ X2 @ mactual ) )
        | ( ( lonely @ X6 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( old @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ 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 ) )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( barrel @ X4 @ X5 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f992]) ).

thf(f994,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( white @ X5 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( lonely @ X6 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( $false
          = ( way @ X6 @ mactual ) )
        | ( ( old @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( ( 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 ) )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( street @ X6 @ mactual )
          = $false )
        | ( $false
          = ( dirty @ X5 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( down @ X4 @ X6 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( $false
          = ( ~ ( qmltpeq @ X7 @ X8 @ mactual ) ) )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( $false
          = ( front @ X2 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( chevy @ X5 @ mactual )
          = $false )
        | ( ( barrel @ X4 @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f993]) ).

thf(f995,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( dirty @ 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 ) )
          = $false )
        | ( ( white @ X5 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( chevy @ X5 @ mactual )
          = $false )
        | ( ( old @ X5 @ mactual )
          = $false )
        | ( $false
          = ( front @ X2 @ mactual ) )
        | ( ( down @ X4 @ X6 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ X7 @ mactual ) )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( $false
          = ( ~ ( qmltpeq @ X7 @ X8 @ mactual ) ) )
        | ( $false
          = ( way @ X6 @ mactual ) )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( street @ X6 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( car @ X5 @ mactual )
          = $false )
        | ( ( lonely @ X6 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( ( barrel @ X4 @ X5 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f994]) ).

thf(f996,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( ( chevy @ X5 @ mactual )
          = $false )
        | ( $false
          = ( dirty @ X5 @ mactual ) )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( white @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( front @ X2 @ mactual ) )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ X7 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( ~ ( qmltpeq @ X7 @ X8 @ mactual ) ) )
        | ( ( down @ X4 @ X6 @ mactual )
          = $false )
        | ( $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 ) ) )
        | ( ( street @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( old @ X5 @ mactual )
          = $false )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( car @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( ( barrel @ X4 @ X5 @ mactual )
          = $false )
        | ( ( lonely @ X6 @ mactual )
          = $false )
        | ( ( man @ X7 @ mactual )
          = $false )
        | ( $false
          = ( way @ X6 @ mactual ) )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f995]) ).

thf(f997,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( ( car @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( chevy @ X5 @ mactual )
          = $false )
        | ( ( down @ X4 @ X6 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ X7 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( street @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( lonely @ X6 @ mactual )
          = $false )
        | ( $false
          = ( dirty @ X5 @ mactual ) )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( seat @ X1 @ 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 ) ) )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( old @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( man @ X7 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( $false
          = ( front @ X2 @ mactual ) )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( ( white @ X5 @ mactual )
          = $false )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( qmltpeq @ X7 @ X8 @ mactual )
          = $true )
        | ( $false
          = ( way @ X6 @ mactual ) )
        | ( ( eiw_di @ X10 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(not_proxy_clausification,[],[f996]) ).

thf(f998,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( lonely @ X6 @ mactual )
          = $false )
        | ( ( car @ X5 @ mactual )
          = $false )
        | ( ( chevy @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( barrel @ X4 @ X5 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( ( down @ X4 @ X6 @ mactual )
          = $false )
        | ( ( white @ X5 @ mactual )
          = $false )
        | ( ( qmltpeq @ X7 @ X8 @ mactual )
          = $true )
        | ( $false
          = ( front @ 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 ) ) )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ X7 @ mactual ) )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( old @ X5 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( $false
          = ( young @ X7 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( way @ X6 @ mactual ) )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( man @ X7 @ mactual )
          = $false )
        | ( $false
          = ( dirty @ X5 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( street @ X6 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f997]) ).

thf(f999,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ X7 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( $false
          = ( way @ X6 @ mactual ) )
        | ( ( car @ X5 @ mactual )
          = $false )
        | ( $false
          = ( young @ X7 @ mactual ) )
        | ( ( lonely @ X6 @ mactual )
          = $false )
        | ( ( white @ X5 @ mactual )
          = $false )
        | ( ( down @ X4 @ 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 ) ) )
        | ( $false
          = ( front @ X2 @ mactual ) )
        | ( ( street @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( $false
          = ( dirty @ X5 @ mactual ) )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( fellow @ X8 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( man @ X7 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( barrel @ X4 @ X5 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( ( qmltpeq @ X7 @ X8 @ mactual )
          = $true )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( ( chevy @ X5 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( old @ X5 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f998]) ).

thf(f1000,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 )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( ( down @ X4 @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( lonely @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( fellow @ X8 @ mactual )
          = $false )
        | ( ( man @ X7 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( $false
          = ( front @ X2 @ mactual ) )
        | ( ( old @ X5 @ mactual )
          = $false )
        | ( $false
          = ( young @ X7 @ mactual ) )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( $false
          = ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual )
            & ( young @ X8 @ mactual ) ) )
        | ( ( car @ X5 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ X7 @ mactual ) )
        | ( ( chevy @ X5 @ mactual )
          = $false )
        | ( ( street @ X6 @ mactual )
          = $false )
        | ( ( qmltpeq @ X7 @ X8 @ mactual )
          = $true )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( $false
          = ( dirty @ X5 @ mactual ) )
        | ( ( white @ X5 @ mactual )
          = $false )
        | ( $false
          = ( way @ X6 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( barrel @ X4 @ X5 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( eiw_di @ X4 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f999]) ).

thf(f1001,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( young @ X8 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ X7 @ mactual ) )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( $false
          = ( front @ X2 @ mactual ) )
        | ( ( old @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( ( fellow @ X8 @ mactual )
          = $false )
        | ( ( man @ X8 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( $false
          = ( young @ X7 @ mactual ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( $false
          = ( way @ X6 @ mactual ) )
        | ( ( chevy @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( street @ X6 @ mactual )
          = $false )
        | ( ( car @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( lonely @ X6 @ mactual )
          = $false )
        | ( ( qmltpeq @ X7 @ X8 @ mactual )
          = $true )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( $false
          = ( dirty @ X5 @ mactual ) )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( man @ X7 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X9 @ X1 @ mactual )
            & ( qmltpeq @ X7 @ X9 @ mactual ) )
          = $false )
        | ( ( down @ X4 @ X6 @ mactual )
          = $false )
        | ( ( barrel @ X4 @ X5 @ mactual )
          = $false )
        | ( ( white @ X5 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f1000]) ).

thf(f1002,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( street @ X6 @ mactual )
          = $false )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( ( down @ X4 @ X6 @ mactual )
          = $false )
        | ( $false
          = ( front @ X2 @ mactual ) )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( car @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( $false
          = ( young @ X8 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( qmltpeq @ X7 @ X8 @ mactual )
          = $true )
        | ( $false
          = ( way @ X6 @ mactual ) )
        | ( $false
          = ( fellow @ X7 @ mactual ) )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( $false
          = ( young @ X7 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( ( chevy @ X5 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( $false
          = ( dirty @ X5 @ mactual ) )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( fellow @ X8 @ mactual )
          = $false )
        | ( ( barrel @ X4 @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual )
            & ( in @ X9 @ X1 @ mactual ) )
          = $false )
        | ( ( man @ X8 @ mactual )
          = $false )
        | ( ( white @ X5 @ mactual )
          = $false )
        | ( $false
          = ( qmltpeq @ X7 @ X9 @ mactual ) )
        | ( ( lonely @ X6 @ mactual )
          = $false )
        | ( ( old @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( man @ X7 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f1001]) ).

thf(f1003,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( front @ X2 @ mactual ) )
        | ( $false
          = ( young @ X7 @ mactual ) )
        | ( ( lonely @ X6 @ mactual )
          = $false )
        | ( $false
          = ( young @ X8 @ mactual ) )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( $false
          = ( ( in @ X10 @ X2 @ mactual )
            & ( qmltpeq @ X8 @ X10 @ mactual ) ) )
        | ( ( man @ X7 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( in @ X9 @ X1 @ mactual )
          = $false )
        | ( ( barrel @ X4 @ X5 @ mactual )
          = $false )
        | ( ( chevy @ X5 @ mactual )
          = $false )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( white @ X5 @ mactual )
          = $false )
        | ( ( street @ X6 @ mactual )
          = $false )
        | ( ( car @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( dirty @ X5 @ mactual ) )
        | ( ( fellow @ X8 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( qmltpeq @ X7 @ X8 @ mactual )
          = $true )
        | ( ( down @ X4 @ X6 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ X7 @ mactual ) )
        | ( ( man @ X8 @ mactual )
          = $false )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( $false
          = ( qmltpeq @ X7 @ X9 @ mactual ) )
        | ( ( old @ X5 @ mactual )
          = $false )
        | ( $false
          = ( way @ X6 @ mactual ) )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f1002]) ).

thf(f1004,plain,
    ( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
        ( ( ( lonely @ X6 @ mactual )
          = $false )
        | ( $false
          = ( qmltpeq @ X7 @ X9 @ mactual ) )
        | ( $false
          = ( dirty @ X5 @ mactual ) )
        | ( $false
          = ( front @ X2 @ mactual ) )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( in @ X9 @ X1 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( city @ X3 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ X7 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( event @ X4 @ mactual )
          = $false )
        | ( ( in @ X4 @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( qmltpeq @ X8 @ X10 @ mactual )
          = $false )
        | ( ( old @ X5 @ mactual )
          = $false )
        | ( ( street @ X6 @ mactual )
          = $false )
        | ( ( car @ X5 @ mactual )
          = $false )
        | ( $false
          = ( young @ X7 @ mactual ) )
        | ( $false
          = ( way @ X6 @ mactual ) )
        | ( ( eiw_di @ X6 @ mactual )
          = $false )
        | ( $false
          = ( young @ X8 @ mactual ) )
        | ( ( white @ X5 @ mactual )
          = $false )
        | ( ( barrel @ X4 @ X5 @ mactual )
          = $false )
        | ( ( eiw_di @ X4 @ mactual )
          = $false )
        | ( ( man @ X8 @ mactual )
          = $false )
        | ( ( chevy @ X5 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( fellow @ X8 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( $false
          = ( hollywood @ X3 @ mactual ) )
        | ( ( eiw_di @ X7 @ mactual )
          = $false )
        | ( ( eiw_di @ X10 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X9 @ mactual ) )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( man @ X7 @ mactual )
          = $false )
        | ( $false
          = ( in @ X10 @ X2 @ mactual ) )
        | ( ( down @ X4 @ X6 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X8 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( qmltpeq @ X7 @ X8 @ mactual )
          = $true ) )
    | ~ spl0_2 ),
    inference(and_proxy_clausification,[],[f1003]) ).

thf(f1005,plain,
    ( spl0_3
    | spl0_4
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f1004,f226,f315,f312]) ).

thf(f1025,plain,
    ( ( ( ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( ?? @ $i
                                      @ ^ [Y5: $i] :
                                          ( ( ?? @ $i
                                            @ ^ [Y6: $i] :
                                                ( ( 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 )
                                                & ( eiw_di @ Y6 @ mactual ) ) )
                                          & ( eiw_di @ Y5 @ mactual ) ) )
                                    & ( eiw_di @ Y4 @ mactual ) ) )
                              & ( eiw_di @ Y3 @ mactual ) ) )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) )
        @ sK14 )
      = $true )
    | spl0_1 ),
    inference(sigma_proxy_clausification,[],[f936]) ).

thf(f1028,plain,
    ( ( ( ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( ?? @ $i
                            @ ^ [Y3: $i] :
                                ( ( ?? @ $i
                                  @ ^ [Y4: $i] :
                                      ( ( ?? @ $i
                                        @ ^ [Y5: $i] :
                                            ( ( 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 )
                                            & ( eiw_di @ Y5 @ mactual ) ) )
                                      & ( eiw_di @ Y4 @ mactual ) ) )
                                & ( eiw_di @ Y3 @ mactual ) ) )
                          & ( eiw_di @ Y2 @ mactual ) ) )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) ) )
        & ( eiw_di @ sK14 @ mactual ) )
      = $true )
    | spl0_1 ),
    inference(beta-eta_normalization,[],[f1025]) ).

thf(f1029,plain,
    ( ( ( eiw_di @ sK14 @ mactual )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1028]) ).

thf(f1030,plain,
    ( ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( ?? @ $i
                                      @ ^ [Y5: $i] :
                                          ( ( 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 )
                                          & ( eiw_di @ Y5 @ mactual ) ) )
                                    & ( eiw_di @ Y4 @ mactual ) ) )
                              & ( eiw_di @ Y3 @ mactual ) ) )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) ) )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1028]) ).

thf(f1033,plain,
    ( ( ( ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( ?? @ $i
                                      @ ^ [Y5: $i] :
                                          ( ( 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 )
                                          & ( eiw_di @ Y5 @ mactual ) ) )
                                    & ( eiw_di @ Y4 @ mactual ) ) )
                              & ( eiw_di @ Y3 @ mactual ) ) )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) )
        @ sK15 )
      = $true )
    | spl0_1 ),
    inference(sigma_proxy_clausification,[],[f1030]) ).

thf(f1035,plain,
    ( ( ( ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( ?? @ $i
                            @ ^ [Y3: $i] :
                                ( ( ?? @ $i
                                  @ ^ [Y4: $i] :
                                      ( ( 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 )
                                      & ( eiw_di @ Y4 @ mactual ) ) )
                                & ( eiw_di @ Y3 @ mactual ) ) )
                          & ( eiw_di @ Y2 @ mactual ) ) )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) ) )
        & ( eiw_di @ sK15 @ mactual ) )
      = $true )
    | spl0_1 ),
    inference(beta-eta_normalization,[],[f1033]) ).

thf(f1037,plain,
    ( ( ( eiw_di @ sK15 @ mactual )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1035]) ).

thf(f1038,plain,
    ( ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( 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 )
                                    & ( eiw_di @ Y4 @ mactual ) ) )
                              & ( eiw_di @ Y3 @ mactual ) ) )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) ) )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1035]) ).

thf(f1041,plain,
    ( ( ( ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( ?? @ $i
                                @ ^ [Y4: $i] :
                                    ( ( 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 )
                                    & ( eiw_di @ Y4 @ mactual ) ) )
                              & ( eiw_di @ Y3 @ mactual ) ) )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) )
        @ sK16 )
      = $true )
    | spl0_1 ),
    inference(sigma_proxy_clausification,[],[f1038]) ).

thf(f1043,plain,
    ( ( ( ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( ?? @ $i
                            @ ^ [Y3: $i] :
                                ( ( 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 )
                                & ( eiw_di @ Y3 @ mactual ) ) )
                          & ( eiw_di @ Y2 @ mactual ) ) )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) ) )
        & ( eiw_di @ sK16 @ mactual ) )
      = $true )
    | spl0_1 ),
    inference(beta-eta_normalization,[],[f1041]) ).

thf(f1045,plain,
    ( ( ( eiw_di @ sK16 @ mactual )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1043]) ).

thf(f1046,plain,
    ( ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( 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 )
                              & ( eiw_di @ Y3 @ mactual ) ) )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) ) )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1043]) ).

thf(f1049,plain,
    ( ( ( ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( 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 )
                              & ( eiw_di @ Y3 @ mactual ) ) )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) )
        @ sK17 )
      = $true )
    | spl0_1 ),
    inference(sigma_proxy_clausification,[],[f1046]) ).

thf(f1051,plain,
    ( ( ( ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( 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 )
                          & ( eiw_di @ Y2 @ mactual ) ) )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) ) )
        & ( eiw_di @ sK17 @ mactual ) )
      = $true )
    | spl0_1 ),
    inference(beta-eta_normalization,[],[f1049]) ).

thf(f1053,plain,
    ( ( ( eiw_di @ sK17 @ mactual )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1051]) ).

thf(f1054,plain,
    ( ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( 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 )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) ) )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1051]) ).

thf(f1057,plain,
    ( ( ( ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( 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 )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) )
        @ sK18 )
      = $true )
    | spl0_1 ),
    inference(sigma_proxy_clausification,[],[f1054]) ).

thf(f1059,plain,
    ( ( ( ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( 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 )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) ) )
        & ( eiw_di @ sK18 @ mactual ) )
      = $true )
    | spl0_1 ),
    inference(beta-eta_normalization,[],[f1057]) ).

thf(f1061,plain,
    ( ( ( eiw_di @ sK18 @ mactual )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1059]) ).

thf(f1062,plain,
    ( ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( 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 )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) ) )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1059]) ).

thf(f1065,plain,
    ( ( ( ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( 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 )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) )
        @ sK19 )
      = $true )
    | spl0_1 ),
    inference(sigma_proxy_clausification,[],[f1062]) ).

thf(f1068,plain,
    ( ( ( ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( 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 )
              & ( eiw_di @ Y0 @ mactual ) ) )
        & ( eiw_di @ sK19 @ mactual ) )
      = $true )
    | spl0_1 ),
    inference(beta-eta_normalization,[],[f1065]) ).

thf(f1069,plain,
    ( ( ( eiw_di @ sK19 @ mactual )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1068]) ).

thf(f1070,plain,
    ( ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( 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 )
            & ( eiw_di @ Y0 @ mactual ) ) )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1068]) ).

thf(f1073,plain,
    ( ( ( ^ [Y0: $i] :
            ( ( 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 )
            & ( eiw_di @ Y0 @ mactual ) )
        @ sK20 )
      = $true )
    | spl0_1 ),
    inference(sigma_proxy_clausification,[],[f1070]) ).

thf(f1076,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 )
        & ( eiw_di @ sK20 @ mactual ) )
      = $true )
    | spl0_1 ),
    inference(beta-eta_normalization,[],[f1073]) ).

thf(f1077,plain,
    ( ( ( eiw_di @ sK20 @ mactual )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1076]) ).

thf(f1078,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,[],[f1076]) ).

thf(f1079,plain,
    ( ( ( seat @ sK11 @ mactual )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1078]) ).

thf(f1080,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,[],[f1078]) ).

thf(f1081,plain,
    ( ( ( furniture @ sK11 @ mactual )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1080]) ).

thf(f1082,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 ) )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1080]) ).

thf(f1083,plain,
    ( ( ( front @ sK11 @ mactual )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1082]) ).

thf(f1084,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 ) )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1082]) ).

thf(f1085,plain,
    ( ( ( seat @ sK12 @ mactual )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1084]) ).

thf(f1086,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 ) )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1084]) ).

thf(f1087,plain,
    ( ( ( furniture @ sK12 @ mactual )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1086]) ).

thf(f1088,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 ) )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1086]) ).

thf(f1089,plain,
    ( ( ( front @ sK12 @ mactual )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1088]) ).

thf(f1090,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 ) )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1088]) ).

thf(f1091,plain,
    ( ( ( hollywood @ sK13 @ mactual )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1090]) ).

thf(f1092,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,[],[f1090]) ).

thf(f1093,plain,
    ( ( ( city @ sK13 @ mactual )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1092]) ).

thf(f1094,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,[],[f1092]) ).

thf(f1095,plain,
    ( ( ( event @ sK14 @ mactual )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1094]) ).

thf(f1096,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,[],[f1094]) ).

thf(f1097,plain,
    ( ( ( street @ sK15 @ mactual )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1096]) ).

thf(f1098,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,[],[f1096]) ).

thf(f1099,plain,
    ( ( ( way @ sK15 @ mactual )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1098]) ).

thf(f1100,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,[],[f1098]) ).

thf(f1101,plain,
    ( ( ( lonely @ sK15 @ mactual )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1100]) ).

thf(f1102,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 ) )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1100]) ).

thf(f1103,plain,
    ( ( ( chevy @ sK16 @ mactual )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1102]) ).

thf(f1104,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,[],[f1102]) ).

thf(f1105,plain,
    ( ( ( car @ sK16 @ mactual )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1104]) ).

thf(f1106,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 ) )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1104]) ).

thf(f1107,plain,
    ( ( ( white @ sK16 @ mactual )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1106]) ).

thf(f1108,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,[],[f1106]) ).

thf(f1109,plain,
    ( ( ( dirty @ sK16 @ mactual )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1108]) ).

thf(f1110,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 ) )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1108]) ).

thf(f1111,plain,
    ( ( ( old @ sK16 @ mactual )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1110]) ).

thf(f1112,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,[],[f1110]) ).

thf(f1113,plain,
    ( ( ( barrel @ sK14 @ sK16 @ mactual )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1112]) ).

thf(f1114,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,[],[f1112]) ).

thf(f1115,plain,
    ( ( ( down @ sK14 @ sK15 @ mactual )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1114]) ).

thf(f1116,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,[],[f1114]) ).

thf(f1117,plain,
    ( ( ( in @ sK14 @ sK13 @ mactual )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1116]) ).

thf(f1118,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,[],[f1116]) ).

thf(f1119,plain,
    ( ( $true
      = ( ~ ( qmltpeq @ sK17 @ sK18 @ mactual ) ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1118]) ).

thf(f1120,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 ) )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1118]) ).

thf(f1121,plain,
    ( ( ( fellow @ sK17 @ mactual )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1120]) ).

thf(f1122,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,[],[f1120]) ).

thf(f1123,plain,
    ( ( $false
      = ( qmltpeq @ sK17 @ sK18 @ mactual ) )
    | spl0_1 ),
    inference(not_proxy_clausification,[],[f1119]) ).

thf(f1124,plain,
    ( ( ( man @ sK17 @ mactual )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1122]) ).

thf(f1125,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,[],[f1122]) ).

thf(f1126,plain,
    ( ( ( young @ sK17 @ mactual )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1125]) ).

thf(f1127,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 ) )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1125]) ).

thf(f1128,plain,
    ( ( ( fellow @ sK18 @ mactual )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1127]) ).

thf(f1129,plain,
    ( ( ( ( in @ sK20 @ sK12 @ mactual )
        & ( qmltpeq @ sK18 @ sK20 @ mactual )
        & ( in @ sK19 @ sK11 @ mactual )
        & ( qmltpeq @ sK17 @ sK19 @ mactual )
        & ( young @ sK18 @ mactual )
        & ( man @ sK18 @ mactual ) )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1127]) ).

thf(f1130,plain,
    ( ( ( man @ sK18 @ mactual )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1129]) ).

thf(f1131,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,[],[f1129]) ).

thf(f1132,plain,
    ( ( $true
      = ( young @ sK18 @ mactual ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1131]) ).

thf(f1133,plain,
    ( ( ( ( in @ sK20 @ sK12 @ mactual )
        & ( qmltpeq @ sK18 @ sK20 @ mactual )
        & ( in @ sK19 @ sK11 @ mactual )
        & ( qmltpeq @ sK17 @ sK19 @ mactual ) )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1131]) ).

thf(f1134,plain,
    ( ( ( qmltpeq @ sK17 @ sK19 @ mactual )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1133]) ).

thf(f1135,plain,
    ( ( $true
      = ( ( in @ sK20 @ sK12 @ mactual )
        & ( qmltpeq @ sK18 @ sK20 @ mactual )
        & ( in @ sK19 @ sK11 @ mactual ) ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1133]) ).

thf(f1136,plain,
    ( ( ( in @ sK19 @ sK11 @ mactual )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1135]) ).

thf(f1137,plain,
    ( ( $true
      = ( ( in @ sK20 @ sK12 @ mactual )
        & ( qmltpeq @ sK18 @ sK20 @ mactual ) ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1135]) ).

thf(f1138,plain,
    ( ( ( qmltpeq @ sK18 @ sK20 @ mactual )
      = $true )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1137]) ).

thf(f1139,plain,
    ( ( $true
      = ( in @ sK20 @ sK12 @ mactual ) )
    | spl0_1 ),
    inference(and_proxy_clausification,[],[f1137]) ).

thf(f1197,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( $false
          = ( front @ X2 @ mactual ) )
        | ( ( eiw_di @ sK19 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( front @ X0 @ mactual )
          = $false )
        | ( $false = $true )
        | ( ( young @ sK17 @ mactual )
          = $false )
        | ( $false
          = ( in @ sK19 @ X0 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ sK17 @ mactual ) )
        | ( ( in @ X1 @ X2 @ mactual )
          = $false )
        | ( $false
          = ( young @ X3 @ mactual ) )
        | ( ( qmltpeq @ sK17 @ X3 @ mactual )
          = $true )
        | ( ( man @ X3 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X0 @ mactual ) )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ sK17 @ mactual ) )
        | ( ( qmltpeq @ X3 @ X1 @ mactual )
          = $false )
        | ( ( fellow @ X3 @ mactual )
          = $false )
        | ( ( man @ sK17 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) ) )
    | spl0_1
    | ~ spl0_4 ),
    inference(superposition,[],[f1134,f316]) ).

thf(f1202,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( $false
          = ( in @ sK19 @ X0 @ mactual ) )
        | ( ( man @ sK17 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ sK17 @ mactual ) )
        | ( ( in @ X1 @ X2 @ mactual )
          = $false )
        | ( ( qmltpeq @ sK17 @ X3 @ mactual )
          = $true )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X0 @ mactual ) )
        | ( $false
          = ( front @ X2 @ mactual ) )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( qmltpeq @ X3 @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( front @ X0 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( fellow @ X3 @ mactual )
          = $false )
        | ( ( man @ X3 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ sK17 @ mactual ) )
        | ( ( young @ sK17 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( $false
          = ( young @ X3 @ mactual ) )
        | ( ( eiw_di @ sK19 @ mactual )
          = $false ) )
    | spl0_1
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f1197]) ).

thf(f1206,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( furniture @ X0 @ mactual )
          = $false )
        | ( $false
          = ( in @ sK19 @ X0 @ mactual ) )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ sK17 @ mactual ) )
        | ( ( eiw_di @ sK19 @ mactual )
          = $false )
        | ( $false
          = ( front @ X2 @ mactual ) )
        | ( $false = $true )
        | ( ( fellow @ X3 @ mactual )
          = $false )
        | ( $false
          = ( young @ X3 @ mactual ) )
        | ( ( in @ X1 @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( qmltpeq @ sK17 @ X3 @ mactual )
          = $true )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( qmltpeq @ X3 @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ sK17 @ mactual ) )
        | ( ( young @ sK17 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X0 @ mactual ) )
        | ( ( front @ X0 @ mactual )
          = $false )
        | ( ( man @ X3 @ mactual )
          = $false ) )
    | spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1202,f1124]) ).

thf(f1207,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( $false
          = ( in @ sK19 @ X0 @ mactual ) )
        | ( ( qmltpeq @ sK17 @ X3 @ mactual )
          = $true )
        | ( $false
          = ( young @ X3 @ mactual ) )
        | ( ( in @ X1 @ X2 @ mactual )
          = $false )
        | ( ( front @ X0 @ mactual )
          = $false )
        | ( ( fellow @ X3 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ sK17 @ mactual ) )
        | ( ( young @ sK17 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( front @ X2 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ sK19 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ sK17 @ mactual ) )
        | ( $false
          = ( seat @ X0 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( man @ X3 @ mactual )
          = $false )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( qmltpeq @ X3 @ X1 @ mactual )
          = $false ) )
    | spl0_1
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f1206]) ).

thf(f1214,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( in @ X1 @ X2 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ sK19 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( man @ X3 @ mactual )
          = $false )
        | ( ( front @ X0 @ mactual )
          = $false )
        | ( $false
          = ( in @ sK19 @ X0 @ mactual ) )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( qmltpeq @ sK17 @ X3 @ mactual )
          = $true )
        | ( $false = $true )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( qmltpeq @ X3 @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( young @ sK17 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X0 @ mactual ) )
        | ( $false
          = ( front @ X2 @ mactual ) )
        | ( $false
          = ( young @ X3 @ mactual ) )
        | ( ( fellow @ X3 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ sK17 @ mactual ) ) )
    | spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1207,f1121]) ).

thf(f1215,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( eiw_di @ sK19 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( front @ X0 @ mactual )
          = $false )
        | ( $false
          = ( young @ X3 @ mactual ) )
        | ( ( qmltpeq @ X3 @ X1 @ mactual )
          = $false )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( $false
          = ( in @ sK19 @ X0 @ mactual ) )
        | ( ( in @ X1 @ X2 @ mactual )
          = $false )
        | ( ( qmltpeq @ sK17 @ X3 @ mactual )
          = $true )
        | ( ( fellow @ X3 @ mactual )
          = $false )
        | ( ( young @ sK17 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( $false
          = ( front @ X2 @ mactual ) )
        | ( $false
          = ( seat @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK17 @ mactual ) )
        | ( ( man @ X3 @ mactual )
          = $false ) )
    | spl0_1
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f1214]) ).

thf(f1222,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( in @ X1 @ X2 @ mactual )
          = $false )
        | ( $false
          = ( in @ sK19 @ X0 @ mactual ) )
        | ( $false = $true )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( qmltpeq @ X3 @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( qmltpeq @ sK17 @ X3 @ mactual )
          = $true )
        | ( $false
          = ( front @ X2 @ mactual ) )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( young @ X3 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( front @ X0 @ mactual )
          = $false )
        | ( ( young @ sK17 @ mactual )
          = $false )
        | ( ( man @ X3 @ mactual )
          = $false )
        | ( ( fellow @ X3 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK17 @ mactual ) ) )
    | spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1215,f1069]) ).

thf(f1223,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( $false
          = ( young @ X3 @ mactual ) )
        | ( ( qmltpeq @ sK17 @ X3 @ mactual )
          = $true )
        | ( $false
          = ( eiw_di @ sK17 @ mactual ) )
        | ( ( qmltpeq @ X3 @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( young @ sK17 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( in @ sK19 @ X0 @ mactual ) )
        | ( $false
          = ( seat @ X0 @ mactual ) )
        | ( ( front @ X0 @ mactual )
          = $false )
        | ( ( fellow @ X3 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( in @ X1 @ X2 @ mactual )
          = $false )
        | ( ( man @ X3 @ mactual )
          = $false )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( front @ X2 @ mactual ) ) )
    | spl0_1
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f1222]) ).

thf(f1230,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( man @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false = $true )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( in @ X1 @ X2 @ mactual )
          = $false )
        | ( ( young @ sK17 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X0 @ mactual ) )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( $false
          = ( young @ X3 @ mactual ) )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( qmltpeq @ sK17 @ X3 @ mactual )
          = $true )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( $false
          = ( front @ X2 @ mactual ) )
        | ( ( qmltpeq @ X3 @ X1 @ mactual )
          = $false )
        | ( ( front @ X0 @ mactual )
          = $false )
        | ( $false
          = ( in @ sK19 @ X0 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( fellow @ X3 @ mactual )
          = $false ) )
    | spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1223,f1053]) ).

thf(f1231,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( young @ sK17 @ mactual )
          = $false )
        | ( ( front @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( qmltpeq @ sK17 @ X3 @ mactual )
          = $true )
        | ( ( fellow @ X3 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X0 @ mactual ) )
        | ( ( man @ X3 @ mactual )
          = $false )
        | ( $false
          = ( front @ X2 @ mactual ) )
        | ( $false
          = ( in @ sK19 @ X0 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( young @ X3 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( in @ X1 @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( qmltpeq @ X3 @ X1 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false ) )
    | spl0_1
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f1230]) ).

thf(f1238,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( $false
          = ( young @ X3 @ mactual ) )
        | ( ( in @ X1 @ X2 @ mactual )
          = $false )
        | ( $false
          = ( in @ sK19 @ X0 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( front @ X0 @ mactual )
          = $false )
        | ( ( man @ X3 @ mactual )
          = $false )
        | ( ( qmltpeq @ X3 @ X1 @ mactual )
          = $false )
        | ( $false
          = ( front @ X2 @ mactual ) )
        | ( ( fellow @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X0 @ mactual ) )
        | ( $false = $true )
        | ( ( qmltpeq @ sK17 @ X3 @ mactual )
          = $true )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false ) )
    | spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1231,f1126]) ).

thf(f1239,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( man @ X3 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X0 @ mactual ) )
        | ( $false
          = ( front @ X2 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( qmltpeq @ sK17 @ X3 @ mactual )
          = $true )
        | ( $false
          = ( young @ X3 @ mactual ) )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( ( in @ X1 @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( qmltpeq @ X3 @ X1 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( $false
          = ( in @ sK19 @ X0 @ mactual ) )
        | ( ( fellow @ X3 @ mactual )
          = $false )
        | ( ( front @ X0 @ mactual )
          = $false ) )
    | spl0_1
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f1238]) ).

thf(f1299,definition,
    ( spl0_14
  <=> ! [X1: $i] :
        ( ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( in @ sK19 @ X1 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

thf(f1300,plain,
    ( ! [X1: $i] :
        ( ( ( in @ sK19 @ X1 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( seat @ X1 @ mactual )
          = $false ) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f1299]) ).

thf(f1336,definition,
    ( spl0_16
  <=> ! [X2: $i,X1: $i,X3: $i] :
        ( ( ( man @ X3 @ mactual )
          = $false )
        | ( ( fellow @ X3 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( qmltpeq @ X3 @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( young @ X3 @ mactual ) )
        | ( ( qmltpeq @ sK17 @ X3 @ mactual )
          = $true )
        | ( $false
          = ( front @ X2 @ mactual ) )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( in @ X1 @ X2 @ mactual )
          = $false )
        | ( ( seat @ X2 @ mactual )
          = $false ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

thf(f1337,plain,
    ( ! [X2: $i,X3: $i,X1: $i] :
        ( ( ( qmltpeq @ sK17 @ X3 @ mactual )
          = $true )
        | ( $false
          = ( furniture @ X2 @ mactual ) )
        | ( ( fellow @ X3 @ mactual )
          = $false )
        | ( ( man @ X3 @ mactual )
          = $false )
        | ( ( qmltpeq @ X3 @ X1 @ mactual )
          = $false )
        | ( $false
          = ( front @ X2 @ mactual ) )
        | ( ( seat @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X3 @ mactual )
          = $false )
        | ( $false
          = ( young @ X3 @ mactual ) )
        | ( ( in @ X1 @ X2 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false ) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f1336]) ).

thf(f1338,plain,
    ( spl0_16
    | spl0_14
    | spl0_1
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f1239,f315,f222,f1299,f1336]) ).

thf(f1344,definition,
    ( spl0_18
  <=> ! [X1: $i] :
        ( ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( in @ sK20 @ X1 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

thf(f1345,plain,
    ( ! [X1: $i] :
        ( ( ( in @ sK20 @ X1 @ mactual )
          = $false )
        | ( $false
          = ( furniture @ X1 @ mactual ) )
        | ( ( seat @ X1 @ mactual )
          = $false )
        | ( ( front @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false ) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f1344]) ).

thf(f1353,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( fellow @ sK18 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ sK18 @ mactual ) )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( ( front @ X0 @ mactual )
          = $false )
        | ( ( qmltpeq @ sK18 @ X1 @ mactual )
          = $false )
        | ( $false
          = ( man @ sK18 @ mactual ) )
        | ( $false
          = ( seat @ X0 @ mactual ) )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( $false
          = ( young @ sK18 @ mactual ) )
        | ( ( in @ X1 @ X0 @ mactual )
          = $false )
        | ( $false = $true ) )
    | spl0_1
    | ~ spl0_16 ),
    inference(superposition,[],[f1123,f1337]) ).

thf(f1362,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( seat @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK18 @ mactual ) )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ sK18 @ mactual ) )
        | ( $false
          = ( young @ sK18 @ mactual ) )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( in @ X1 @ X0 @ mactual )
          = $false )
        | ( ( front @ X0 @ mactual )
          = $false )
        | ( $false
          = ( man @ sK18 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( qmltpeq @ sK18 @ X1 @ mactual )
          = $false ) )
    | spl0_1
    | ~ spl0_16 ),
    inference(trivial_inequality_removal,[],[f1353]) ).

thf(f1367,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( fellow @ sK18 @ mactual ) )
        | ( $false = $true )
        | ( $false
          = ( young @ sK18 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( front @ X0 @ mactual )
          = $false )
        | ( ( in @ X1 @ X0 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X0 @ mactual ) )
        | ( ( qmltpeq @ sK18 @ X1 @ mactual )
          = $false )
        | ( $false
          = ( man @ sK18 @ mactual ) )
        | ( ( furniture @ X0 @ mactual )
          = $false ) )
    | spl0_1
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1362,f1061]) ).

thf(f1368,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( young @ sK18 @ mactual ) )
        | ( $false
          = ( seat @ X0 @ mactual ) )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( front @ X0 @ mactual )
          = $false )
        | ( ( qmltpeq @ sK18 @ X1 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ sK18 @ mactual ) )
        | ( $false
          = ( man @ sK18 @ mactual ) )
        | ( ( in @ X1 @ X0 @ mactual )
          = $false ) )
    | spl0_1
    | ~ spl0_16 ),
    inference(trivial_inequality_removal,[],[f1367]) ).

thf(f1371,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( front @ X0 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X0 @ mactual ) )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ sK18 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( in @ X1 @ X0 @ mactual )
          = $false )
        | ( $false = $true )
        | ( ( qmltpeq @ sK18 @ X1 @ mactual )
          = $false )
        | ( $false
          = ( man @ sK18 @ mactual ) ) )
    | spl0_1
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1368,f1132]) ).

thf(f1372,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( front @ X0 @ mactual )
          = $false )
        | ( $false
          = ( fellow @ sK18 @ mactual ) )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( ( in @ X1 @ X0 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X0 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( man @ sK18 @ mactual ) )
        | ( ( qmltpeq @ sK18 @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false ) )
    | spl0_1
    | ~ spl0_16 ),
    inference(trivial_inequality_removal,[],[f1371]) ).

thf(f1375,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( in @ X1 @ X0 @ mactual )
          = $false )
        | ( ( qmltpeq @ sK18 @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X0 @ mactual ) )
        | ( ( front @ X0 @ mactual )
          = $false )
        | ( $false
          = ( man @ sK18 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( $false = $true ) )
    | spl0_1
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1372,f1128]) ).

thf(f1376,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( front @ X0 @ mactual )
          = $false )
        | ( $false
          = ( man @ sK18 @ mactual ) )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X0 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( in @ X1 @ X0 @ mactual )
          = $false )
        | ( ( qmltpeq @ sK18 @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false ) )
    | spl0_1
    | ~ spl0_16 ),
    inference(trivial_inequality_removal,[],[f1375]) ).

thf(f1379,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( seat @ X0 @ mactual ) )
        | ( ( qmltpeq @ sK18 @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( $false = $true )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( front @ X0 @ mactual )
          = $false )
        | ( ( in @ X1 @ X0 @ mactual )
          = $false ) )
    | spl0_1
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1376,f1130]) ).

thf(f1380,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( qmltpeq @ sK18 @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X0 @ mactual ) )
        | ( ( front @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( in @ X1 @ X0 @ mactual )
          = $false ) )
    | spl0_1
    | ~ spl0_16 ),
    inference(trivial_inequality_removal,[],[f1379]) ).

thf(f1383,plain,
    ( ( $false
      = ( eiw_di @ sK12 @ mactual ) )
    | ( $false
      = ( seat @ sK12 @ mactual ) )
    | ( $false = $true )
    | ( ( front @ sK12 @ mactual )
      = $false )
    | ( ( furniture @ sK12 @ mactual )
      = $false )
    | spl0_1
    | ~ spl0_18 ),
    inference(superposition,[],[f1345,f1139]) ).

thf(f1387,plain,
    ( ( $false
      = ( eiw_di @ sK12 @ mactual ) )
    | ( ( front @ sK12 @ mactual )
      = $false )
    | ( ( furniture @ sK12 @ mactual )
      = $false )
    | ( $false
      = ( seat @ sK12 @ mactual ) )
    | spl0_1
    | ~ spl0_18 ),
    inference(trivial_inequality_removal,[],[f1383]) ).

thf(f1389,plain,
    ( ( $false
      = ( seat @ sK12 @ mactual ) )
    | ( ( furniture @ sK12 @ mactual )
      = $false )
    | ( ( front @ sK12 @ mactual )
      = $false )
    | ( $false = $true )
    | spl0_1
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1387,f917]) ).

thf(f1390,plain,
    ( ( ( front @ sK12 @ mactual )
      = $false )
    | ( ( furniture @ sK12 @ mactual )
      = $false )
    | ( $false
      = ( seat @ sK12 @ mactual ) )
    | spl0_1
    | ~ spl0_18 ),
    inference(trivial_inequality_removal,[],[f1389]) ).

thf(f1393,plain,
    ( ( $false
      = ( seat @ sK12 @ mactual ) )
    | ( ( furniture @ sK12 @ mactual )
      = $false )
    | ( $false = $true )
    | spl0_1
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1390,f1089]) ).

thf(f1394,plain,
    ( ( ( furniture @ sK12 @ mactual )
      = $false )
    | ( $false
      = ( seat @ sK12 @ mactual ) )
    | spl0_1
    | ~ spl0_18 ),
    inference(trivial_inequality_removal,[],[f1393]) ).

thf(f1397,plain,
    ( ( $false = $true )
    | ( $false
      = ( seat @ sK12 @ mactual ) )
    | spl0_1
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1394,f1087]) ).

thf(f1398,plain,
    ( ( $false
      = ( seat @ sK12 @ mactual ) )
    | spl0_1
    | ~ spl0_18 ),
    inference(trivial_inequality_removal,[],[f1397]) ).

thf(f1401,plain,
    ( ( $false = $true )
    | spl0_1
    | ~ spl0_18 ),
    inference(superposition,[],[f1398,f1085]) ).

thf(f1407,plain,
    ( $false
    | spl0_1
    | ~ spl0_18 ),
    inference(trivial_inequality_removal,[],[f1401]) ).

thf(f1408,plain,
    ( spl0_1
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1407]) ).

thf(f1409,plain,
    ( ! [X0: $i] :
        ( ( ( eiw_di @ sK20 @ mactual )
          = $false )
        | ( ( front @ X0 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X0 @ mactual ) )
        | ( $false = $true )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( in @ sK20 @ X0 @ mactual ) )
        | ( ( furniture @ X0 @ mactual )
          = $false ) )
    | spl0_1
    | ~ spl0_16 ),
    inference(superposition,[],[f1380,f1138]) ).

thf(f1413,plain,
    ( ! [X0: $i] :
        ( ( ( furniture @ X0 @ mactual )
          = $false )
        | ( $false
          = ( in @ sK20 @ X0 @ mactual ) )
        | ( ( front @ X0 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X0 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ sK20 @ mactual )
          = $false ) )
    | spl0_1
    | ~ spl0_16 ),
    inference(trivial_inequality_removal,[],[f1409]) ).

thf(f1415,plain,
    ( ! [X0: $i] :
        ( ( ( front @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X0 @ mactual ) )
        | ( ( furniture @ X0 @ mactual )
          = $false )
        | ( $false = $true )
        | ( $false
          = ( in @ sK20 @ X0 @ mactual ) ) )
    | spl0_1
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1413,f1077]) ).

thf(f1416,plain,
    ( ! [X0: $i] :
        ( ( ( furniture @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( seat @ X0 @ mactual ) )
        | ( ( front @ X0 @ mactual )
          = $false )
        | ( $false
          = ( in @ sK20 @ X0 @ mactual ) ) )
    | spl0_1
    | ~ spl0_16 ),
    inference(trivial_inequality_removal,[],[f1415]) ).

thf(f1454,plain,
    ( spl0_18
    | spl0_1
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f1416,f1336,f222,f1344]) ).

thf(f1455,plain,
    ( ( ( furniture @ sK11 @ mactual )
      = $false )
    | ( $false = $true )
    | ( $false
      = ( front @ sK11 @ mactual ) )
    | ( ( seat @ sK11 @ mactual )
      = $false )
    | ( $false
      = ( eiw_di @ sK11 @ mactual ) )
    | spl0_1
    | ~ spl0_14 ),
    inference(superposition,[],[f1300,f1136]) ).

thf(f1458,plain,
    ( ( $false
      = ( front @ sK11 @ mactual ) )
    | ( ( seat @ sK11 @ mactual )
      = $false )
    | ( $false
      = ( eiw_di @ sK11 @ mactual ) )
    | ( ( furniture @ sK11 @ mactual )
      = $false )
    | spl0_1
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f1455]) ).

thf(f1461,plain,
    ( ( ( seat @ sK11 @ mactual )
      = $false )
    | ( $false
      = ( eiw_di @ sK11 @ mactual ) )
    | ( $false = $true )
    | ( ( furniture @ sK11 @ mactual )
      = $false )
    | spl0_1
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1458,f1083]) ).

thf(f1462,plain,
    ( ( $false
      = ( eiw_di @ sK11 @ mactual ) )
    | ( ( seat @ sK11 @ mactual )
      = $false )
    | ( ( furniture @ sK11 @ mactual )
      = $false )
    | spl0_1
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f1461]) ).

thf(f1465,plain,
    ( ( $false = $true )
    | ( ( seat @ sK11 @ mactual )
      = $false )
    | ( ( furniture @ sK11 @ mactual )
      = $false )
    | spl0_1
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1462,f904]) ).

thf(f1466,plain,
    ( ( ( seat @ sK11 @ mactual )
      = $false )
    | ( ( furniture @ sK11 @ mactual )
      = $false )
    | spl0_1
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f1465]) ).

thf(f1469,plain,
    ( ( ( furniture @ sK11 @ mactual )
      = $false )
    | ( $false = $true )
    | spl0_1
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1466,f1079]) ).

thf(f1470,plain,
    ( ( ( furniture @ sK11 @ mactual )
      = $false )
    | spl0_1
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f1469]) ).

thf(f1473,plain,
    ( ( $false = $true )
    | spl0_1
    | ~ spl0_14 ),
    inference(superposition,[],[f1470,f1081]) ).

thf(f1478,plain,
    ( $false
    | spl0_1
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f1473]) ).

thf(f1479,plain,
    ( spl0_1
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1478]) ).

thf(f1481,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( street @ sK15 @ mactual )
          = $false )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( in @ sK14 @ X1 @ mactual )
          = $false )
        | ( $false
          = ( way @ sK15 @ mactual ) )
        | ( ( chevy @ X0 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ sK15 @ mactual ) )
        | ( ( car @ X0 @ mactual )
          = $false )
        | ( $false = $true )
        | ( ( white @ X0 @ mactual )
          = $false )
        | ( ( lonely @ sK15 @ mactual )
          = $false )
        | ( ( event @ sK14 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( barrel @ sK14 @ X0 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ sK14 @ mactual ) )
        | ( ( old @ X0 @ mactual )
          = $false )
        | ( ( dirty @ X0 @ mactual )
          = $false )
        | ( ( hollywood @ X1 @ mactual )
          = $false ) )
    | spl0_1
    | ~ spl0_3 ),
    inference(superposition,[],[f313,f1115]) ).

thf(f1484,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( chevy @ X0 @ mactual )
          = $false )
        | ( $false
          = ( way @ sK15 @ mactual ) )
        | ( ( hollywood @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( old @ X0 @ mactual )
          = $false )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( street @ sK15 @ mactual )
          = $false )
        | ( ( lonely @ sK15 @ mactual )
          = $false )
        | ( ( white @ X0 @ mactual )
          = $false )
        | ( ( barrel @ sK14 @ X0 @ mactual )
          = $false )
        | ( ( dirty @ X0 @ mactual )
          = $false )
        | ( ( car @ X0 @ mactual )
          = $false )
        | ( ( event @ sK14 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ sK14 @ mactual ) )
        | ( ( in @ sK14 @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ sK15 @ mactual ) ) )
    | spl0_1
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f1481]) ).

thf(f1487,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( event @ sK14 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( white @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( hollywood @ X1 @ mactual )
          = $false )
        | ( ( car @ X0 @ mactual )
          = $false )
        | ( ( chevy @ X0 @ mactual )
          = $false )
        | ( ( dirty @ X0 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ sK14 @ mactual ) )
        | ( ( street @ sK15 @ mactual )
          = $false )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( ( lonely @ sK15 @ mactual )
          = $false )
        | ( ( barrel @ sK14 @ X0 @ mactual )
          = $false )
        | ( ( in @ sK14 @ X1 @ mactual )
          = $false )
        | ( $false = $true )
        | ( $false
          = ( eiw_di @ sK15 @ mactual ) )
        | ( ( old @ X0 @ mactual )
          = $false ) )
    | spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f1484,f1099]) ).

thf(f1488,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( street @ sK15 @ mactual )
          = $false )
        | ( ( old @ X0 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ sK15 @ mactual ) )
        | ( ( lonely @ sK15 @ mactual )
          = $false )
        | ( ( dirty @ X0 @ mactual )
          = $false )
        | ( ( chevy @ X0 @ mactual )
          = $false )
        | ( ( in @ sK14 @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( car @ X0 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ sK14 @ mactual ) )
        | ( ( barrel @ sK14 @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( white @ X0 @ mactual )
          = $false )
        | ( ( hollywood @ X1 @ mactual )
          = $false )
        | ( ( event @ sK14 @ mactual )
          = $false )
        | ( $false
          = ( city @ X1 @ mactual ) ) )
    | spl0_1
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f1487]) ).

thf(f1491,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( chevy @ X0 @ mactual )
          = $false )
        | ( ( lonely @ sK15 @ mactual )
          = $false )
        | ( ( barrel @ sK14 @ X0 @ mactual )
          = $false )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( ( in @ sK14 @ X1 @ mactual )
          = $false )
        | ( ( event @ sK14 @ mactual )
          = $false )
        | ( ( car @ X0 @ mactual )
          = $false )
        | ( ( hollywood @ X1 @ mactual )
          = $false )
        | ( ( old @ X0 @ mactual )
          = $false )
        | ( ( dirty @ X0 @ mactual )
          = $false )
        | ( $false = $true )
        | ( $false
          = ( eiw_di @ sK15 @ mactual ) )
        | ( ( white @ X0 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ sK14 @ mactual ) ) )
    | spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f1488,f1097]) ).

thf(f1492,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( event @ sK14 @ mactual )
          = $false )
        | ( ( hollywood @ X1 @ mactual )
          = $false )
        | ( ( old @ X0 @ mactual )
          = $false )
        | ( ( chevy @ X0 @ mactual )
          = $false )
        | ( ( barrel @ sK14 @ X0 @ mactual )
          = $false )
        | ( ( car @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ sK14 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ sK15 @ mactual ) )
        | ( ( white @ X0 @ mactual )
          = $false )
        | ( ( lonely @ sK15 @ mactual )
          = $false )
        | ( ( dirty @ X0 @ mactual )
          = $false )
        | ( ( in @ sK14 @ X1 @ mactual )
          = $false ) )
    | spl0_1
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f1491]) ).

thf(f1495,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( in @ sK14 @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ sK15 @ mactual ) )
        | ( ( white @ X0 @ mactual )
          = $false )
        | ( ( lonely @ sK15 @ mactual )
          = $false )
        | ( ( hollywood @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( car @ X0 @ mactual )
          = $false )
        | ( ( dirty @ X0 @ mactual )
          = $false )
        | ( $false = $true )
        | ( $false
          = ( eiw_di @ sK14 @ mactual ) )
        | ( ( barrel @ sK14 @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( chevy @ X0 @ mactual )
          = $false )
        | ( ( old @ X0 @ mactual )
          = $false )
        | ( $false
          = ( city @ X1 @ mactual ) ) )
    | spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f1492,f1095]) ).

thf(f1496,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( lonely @ sK15 @ mactual )
          = $false )
        | ( ( in @ sK14 @ X1 @ mactual )
          = $false )
        | ( ( dirty @ X0 @ mactual )
          = $false )
        | ( ( hollywood @ X1 @ mactual )
          = $false )
        | ( ( old @ X0 @ mactual )
          = $false )
        | ( ( barrel @ sK14 @ X0 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ sK15 @ mactual ) )
        | ( ( white @ X0 @ mactual )
          = $false )
        | ( ( car @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ sK14 @ mactual ) )
        | ( ( chevy @ X0 @ mactual )
          = $false ) )
    | spl0_1
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f1495]) ).

thf(f1499,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( old @ X0 @ mactual )
          = $false )
        | ( ( chevy @ X0 @ mactual )
          = $false )
        | ( $false = $true )
        | ( ( car @ X0 @ mactual )
          = $false )
        | ( ( white @ X0 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ sK15 @ mactual ) )
        | ( ( hollywood @ X1 @ mactual )
          = $false )
        | ( ( in @ sK14 @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( barrel @ sK14 @ X0 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ sK14 @ mactual ) )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( dirty @ X0 @ mactual )
          = $false )
        | ( $false
          = ( city @ X1 @ mactual ) ) )
    | spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f1496,f1101]) ).

thf(f1500,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( eiw_di @ sK15 @ mactual ) )
        | ( ( dirty @ X0 @ mactual )
          = $false )
        | ( ( car @ X0 @ mactual )
          = $false )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( ( barrel @ sK14 @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( chevy @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( white @ X0 @ mactual )
          = $false )
        | ( ( hollywood @ X1 @ mactual )
          = $false )
        | ( ( in @ sK14 @ X1 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ sK14 @ mactual ) )
        | ( ( old @ X0 @ mactual )
          = $false ) )
    | spl0_1
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f1499]) ).

thf(f1503,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( chevy @ X0 @ mactual )
          = $false )
        | ( ( car @ X0 @ mactual )
          = $false )
        | ( ( hollywood @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( barrel @ sK14 @ X0 @ mactual )
          = $false )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( $false = $true )
        | ( ( old @ X0 @ mactual )
          = $false )
        | ( ( dirty @ X0 @ mactual )
          = $false )
        | ( ( white @ X0 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ sK14 @ mactual ) )
        | ( ( in @ sK14 @ X1 @ mactual )
          = $false ) )
    | spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f1500,f1037]) ).

thf(f1504,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( ( dirty @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( barrel @ sK14 @ X0 @ mactual )
          = $false )
        | ( ( in @ sK14 @ X1 @ mactual )
          = $false )
        | ( ( car @ X0 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ sK14 @ mactual ) )
        | ( ( chevy @ X0 @ mactual )
          = $false )
        | ( ( old @ X0 @ mactual )
          = $false )
        | ( ( white @ X0 @ mactual )
          = $false )
        | ( ( hollywood @ X1 @ mactual )
          = $false ) )
    | spl0_1
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f1503]) ).

thf(f1507,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( old @ X0 @ mactual )
          = $false )
        | ( ( hollywood @ X1 @ mactual )
          = $false )
        | ( $false = $true )
        | ( ( chevy @ X0 @ mactual )
          = $false )
        | ( ( dirty @ X0 @ mactual )
          = $false )
        | ( ( in @ sK14 @ X1 @ mactual )
          = $false )
        | ( ( car @ X0 @ mactual )
          = $false )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( ( white @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( barrel @ sK14 @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false ) )
    | spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f1504,f1029]) ).

thf(f1508,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( chevy @ X0 @ mactual )
          = $false )
        | ( ( car @ X0 @ mactual )
          = $false )
        | ( ( hollywood @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( in @ sK14 @ X1 @ mactual )
          = $false )
        | ( ( dirty @ X0 @ mactual )
          = $false )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( ( old @ X0 @ mactual )
          = $false )
        | ( ( barrel @ sK14 @ X0 @ mactual )
          = $false )
        | ( ( white @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false ) )
    | spl0_1
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f1507]) ).

thf(f1512,definition,
    ( spl0_19
  <=> ! [X0: $i] :
        ( ( ( chevy @ X0 @ mactual )
          = $false )
        | ( ( white @ X0 @ mactual )
          = $false )
        | ( ( barrel @ sK14 @ X0 @ mactual )
          = $false )
        | ( ( old @ X0 @ mactual )
          = $false )
        | ( ( dirty @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( car @ X0 @ mactual )
          = $false ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

thf(f1513,plain,
    ( ! [X0: $i] :
        ( ( ( barrel @ sK14 @ X0 @ mactual )
          = $false )
        | ( ( eiw_di @ X0 @ mactual )
          = $false )
        | ( ( old @ X0 @ mactual )
          = $false )
        | ( ( car @ X0 @ mactual )
          = $false )
        | ( ( white @ X0 @ mactual )
          = $false )
        | ( ( chevy @ X0 @ mactual )
          = $false )
        | ( ( dirty @ X0 @ mactual )
          = $false ) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f1512]) ).

thf(f1515,definition,
    ( spl0_20
  <=> ! [X1: $i] :
        ( ( ( hollywood @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( ( in @ sK14 @ X1 @ mactual )
          = $false ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

thf(f1516,plain,
    ( ! [X1: $i] :
        ( ( ( in @ sK14 @ X1 @ mactual )
          = $false )
        | ( ( eiw_di @ X1 @ mactual )
          = $false )
        | ( ( hollywood @ X1 @ mactual )
          = $false )
        | ( $false
          = ( city @ X1 @ mactual ) ) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f1515]) ).

thf(f1517,plain,
    ( spl0_19
    | spl0_20
    | spl0_1
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f1508,f312,f222,f1515,f1512]) ).

thf(f1520,plain,
    ( ( $false
      = ( eiw_di @ sK13 @ mactual ) )
    | ( $false
      = ( city @ sK13 @ mactual ) )
    | ( $false
      = ( hollywood @ sK13 @ mactual ) )
    | ( $false = $true )
    | spl0_1
    | ~ spl0_20 ),
    inference(superposition,[],[f1117,f1516]) ).

thf(f1521,plain,
    ( ( $false
      = ( hollywood @ sK13 @ mactual ) )
    | ( $false
      = ( city @ sK13 @ mactual ) )
    | ( $false
      = ( eiw_di @ sK13 @ mactual ) )
    | spl0_1
    | ~ spl0_20 ),
    inference(trivial_inequality_removal,[],[f1520]) ).

thf(f1524,plain,
    ( ( $false
      = ( city @ sK13 @ mactual ) )
    | ( $false = $true )
    | ( $false
      = ( eiw_di @ sK13 @ mactual ) )
    | spl0_1
    | ~ spl0_20 ),
    inference(forward_demodulation,[],[f1521,f1091]) ).

thf(f1525,plain,
    ( ( $false
      = ( eiw_di @ sK13 @ mactual ) )
    | ( $false
      = ( city @ sK13 @ mactual ) )
    | spl0_1
    | ~ spl0_20 ),
    inference(trivial_inequality_removal,[],[f1524]) ).

thf(f1528,plain,
    ( ( $false = $true )
    | ( $false
      = ( city @ sK13 @ mactual ) )
    | spl0_1
    | ~ spl0_20 ),
    inference(forward_demodulation,[],[f1525,f935]) ).

thf(f1529,plain,
    ( ( $false
      = ( city @ sK13 @ mactual ) )
    | spl0_1
    | ~ spl0_20 ),
    inference(trivial_inequality_removal,[],[f1528]) ).

thf(f1534,plain,
    ( ( $false = $true )
    | spl0_1
    | ~ spl0_20 ),
    inference(superposition,[],[f1093,f1529]) ).

thf(f1538,plain,
    ( $false
    | spl0_1
    | ~ spl0_20 ),
    inference(trivial_inequality_removal,[],[f1534]) ).

thf(f1539,plain,
    ( spl0_1
    | ~ spl0_20 ),
    inference(avatar_contradiction_clause,[],[f1538]) ).

thf(f1540,plain,
    ( ( $false
      = ( old @ sK16 @ mactual ) )
    | ( $false
      = ( chevy @ sK16 @ mactual ) )
    | ( $false
      = ( eiw_di @ sK16 @ mactual ) )
    | ( ( car @ sK16 @ mactual )
      = $false )
    | ( ( white @ sK16 @ mactual )
      = $false )
    | ( ( dirty @ sK16 @ mactual )
      = $false )
    | ( $false = $true )
    | spl0_1
    | ~ spl0_19 ),
    inference(superposition,[],[f1513,f1113]) ).

thf(f1544,plain,
    ( ( ( car @ sK16 @ mactual )
      = $false )
    | ( $false
      = ( old @ sK16 @ mactual ) )
    | ( $false
      = ( chevy @ sK16 @ mactual ) )
    | ( $false
      = ( eiw_di @ sK16 @ mactual ) )
    | ( ( dirty @ sK16 @ mactual )
      = $false )
    | ( ( white @ sK16 @ mactual )
      = $false )
    | spl0_1
    | ~ spl0_19 ),
    inference(trivial_inequality_removal,[],[f1540]) ).

thf(f1546,plain,
    ( ( ( dirty @ sK16 @ mactual )
      = $false )
    | ( $false = $true )
    | ( $false
      = ( chevy @ sK16 @ mactual ) )
    | ( $false
      = ( eiw_di @ sK16 @ mactual ) )
    | ( ( white @ sK16 @ mactual )
      = $false )
    | ( $false
      = ( old @ sK16 @ mactual ) )
    | spl0_1
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f1544,f1105]) ).

thf(f1547,plain,
    ( ( ( white @ sK16 @ mactual )
      = $false )
    | ( $false
      = ( old @ sK16 @ mactual ) )
    | ( ( dirty @ sK16 @ mactual )
      = $false )
    | ( $false
      = ( chevy @ sK16 @ mactual ) )
    | ( $false
      = ( eiw_di @ sK16 @ mactual ) )
    | spl0_1
    | ~ spl0_19 ),
    inference(trivial_inequality_removal,[],[f1546]) ).

thf(f1550,plain,
    ( ( $false = $true )
    | ( $false
      = ( chevy @ sK16 @ mactual ) )
    | ( $false
      = ( eiw_di @ sK16 @ mactual ) )
    | ( $false
      = ( old @ sK16 @ mactual ) )
    | ( ( dirty @ sK16 @ mactual )
      = $false )
    | spl0_1
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f1547,f1107]) ).

thf(f1551,plain,
    ( ( $false
      = ( old @ sK16 @ mactual ) )
    | ( ( dirty @ sK16 @ mactual )
      = $false )
    | ( $false
      = ( eiw_di @ sK16 @ mactual ) )
    | ( $false
      = ( chevy @ sK16 @ mactual ) )
    | spl0_1
    | ~ spl0_19 ),
    inference(trivial_inequality_removal,[],[f1550]) ).

thf(f1554,plain,
    ( ( ( dirty @ sK16 @ mactual )
      = $false )
    | ( $false
      = ( chevy @ sK16 @ mactual ) )
    | ( $false
      = ( eiw_di @ sK16 @ mactual ) )
    | ( $false = $true )
    | spl0_1
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f1551,f1111]) ).

thf(f1555,plain,
    ( ( $false
      = ( chevy @ sK16 @ mactual ) )
    | ( ( dirty @ sK16 @ mactual )
      = $false )
    | ( $false
      = ( eiw_di @ sK16 @ mactual ) )
    | spl0_1
    | ~ spl0_19 ),
    inference(trivial_inequality_removal,[],[f1554]) ).

thf(f1558,plain,
    ( ( $false
      = ( eiw_di @ sK16 @ mactual ) )
    | ( $false = $true )
    | ( ( dirty @ sK16 @ mactual )
      = $false )
    | spl0_1
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f1555,f1103]) ).

thf(f1559,plain,
    ( ( ( dirty @ sK16 @ mactual )
      = $false )
    | ( $false
      = ( eiw_di @ sK16 @ mactual ) )
    | spl0_1
    | ~ spl0_19 ),
    inference(trivial_inequality_removal,[],[f1558]) ).

thf(f1562,plain,
    ( ( $false = $true )
    | ( $false
      = ( eiw_di @ sK16 @ mactual ) )
    | spl0_1
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f1559,f1109]) ).

thf(f1563,plain,
    ( ( $false
      = ( eiw_di @ sK16 @ mactual ) )
    | spl0_1
    | ~ spl0_19 ),
    inference(trivial_inequality_removal,[],[f1562]) ).

thf(f1568,plain,
    ( ( $false = $true )
    | spl0_1
    | ~ spl0_19 ),
    inference(superposition,[],[f1045,f1563]) ).

thf(f1572,plain,
    ( $false
    | spl0_1
    | ~ spl0_19 ),
    inference(trivial_inequality_removal,[],[f1568]) ).

thf(f1573,plain,
    ( spl0_1
    | ~ spl0_19 ),
    inference(avatar_contradiction_clause,[],[f1572]) ).

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,[],[f543]) ).

cnf(s5,plain,
    ( ~ spl0_1
    | ~ spl0_5 ),
    inference(sat_conversion,[],[f578]) ).

cnf(s7,plain,
    ( ~ spl0_1
    | ~ spl0_6 ),
    inference(sat_conversion,[],[f600]) ).

cnf(s10,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | spl0_8
    | spl0_9 ),
    inference(sat_conversion,[],[f761]) ).

cnf(s12,plain,
    ( ~ spl0_1
    | ~ spl0_8 ),
    inference(sat_conversion,[],[f787]) ).

cnf(s14,plain,
    ( ~ spl0_1
    | ~ spl0_9 ),
    inference(sat_conversion,[],[f898]) ).

cnf(s15,plain,
    ( ~ spl0_2
    | spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f1005]) ).

cnf(s18,plain,
    ( spl0_1
    | ~ spl0_4
    | spl0_14
    | spl0_16 ),
    inference(sat_conversion,[],[f1338]) ).

cnf(s22,plain,
    ( spl0_1
    | ~ spl0_18 ),
    inference(sat_conversion,[],[f1408]) ).

cnf(s23,plain,
    ( spl0_1
    | ~ spl0_16
    | spl0_18 ),
    inference(sat_conversion,[],[f1454]) ).

cnf(s25,plain,
    ( spl0_1
    | ~ spl0_14 ),
    inference(sat_conversion,[],[f1479]) ).

cnf(s26,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_19
    | spl0_20 ),
    inference(sat_conversion,[],[f1517]) ).

cnf(s28,plain,
    ( spl0_1
    | ~ spl0_20 ),
    inference(sat_conversion,[],[f1539]) ).

cnf(s30,plain,
    ( spl0_1
    | ~ spl0_19 ),
    inference(sat_conversion,[],[f1573]) ).

cnf(s31,plain,
    ( spl0_1
    | spl0_20
    | spl0_19 ),
    inference(rat,[],[s15,s18,s23,s1,s22,s25,s26]) ).

cnf(s32,plain,
    spl0_1,
    inference(rat,[],[s31,s28,s30]) ).

cnf(s33,plain,
    ~ spl0_9,
    inference(rat,[],[s14,s32]) ).

cnf(s34,plain,
    ~ spl0_8,
    inference(rat,[],[s12,s32]) ).

cnf(s35,plain,
    ~ spl0_4,
    inference(rat,[],[s10,s33,s34,s32]) ).

cnf(s36,plain,
    ~ spl0_6,
    inference(rat,[],[s7,s32]) ).

cnf(s37,plain,
    ~ spl0_5,
    inference(rat,[],[s5,s32]) ).

cnf(s38,plain,
    ~ spl0_3,
    inference(rat,[],[s3,s36,s37,s32]) ).

cnf(s39,plain,
    $false,
    inference(rat,[],[s2,s38,s35,s32]) ).

thf(f1574,plain,
    $false,
    inference(avatar_sat_refutation,[],[s39]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : NLP004^13 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.09  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.30  % Computer : n010.cluster.edu
% 0.12/0.30  % Model    : x86_64 x86_64
% 0.12/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.30  % Memory   : 8046.5625MB
% 0.12/0.30  % OS       : Linux 6.8.0-71-generic
% 0.12/0.30  % CPULimit : 300
% 0.12/0.30  % WCLimit  : 300
% 0.12/0.30  % DateTime : Tue Sep 29 11:33:33 UTC 2026
% 0.12/0.30  % CPUTime  : 
% 0.12/0.30  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.30/0.36  Running higher-order theorem proving
% 0.30/0.39  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
% 1.05/0.59  % (2738667)Detected a higher-order problem, will run a greedy HOL sequence.
% 1.05/0.59  % (2738677)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=4255258:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 1.05/0.59  % (2738678)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 1.05/0.59  % (2738678)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.05/0.59  % (2738672)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3243069646:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 1.05/0.59  % (2738673)lrs+10_16_si=on:nwc=1.5:random_seed=980651865:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 1.05/0.59  % (2738676)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3607199295:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 1.05/0.59  % (2738678)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=3786195927:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 1.05/0.59  % (2738675)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=2588755997: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)
% 1.05/0.59  % (2738674)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=84657568:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 1.05/0.59  % (2738674)Instruction limit reached! 
% 1.05/0.59  % (2738674)------------------------------
% 1.05/0.59  % (2738674)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.05/0.59  % (2738674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/0.59  % (2738674)CaDiCaL version: 2.1.3
% 1.05/0.59  % (2738674)Termination reason: Instruction limit
% 1.05/0.59  % (2738674)Termination phase: shuffling
% 1.05/0.59  % (2738674)Time elapsed: 0.003 s
% 1.05/0.59  % (2738674)Peak memory usage: 10 MB
% 1.05/0.59  % (2738674)Instructions burned: 4 (million)
% 1.05/0.59  % (2738673)Instruction limit reached! 
% 1.05/0.59  % (2738673)------------------------------
% 1.05/0.59  % (2738673)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.05/0.59  % (2738673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/0.59  % (2738673)CaDiCaL version: 2.1.3
% 1.05/0.59  % (2738673)Termination reason: Instruction limit
% 1.05/0.59  % (2738673)Termination phase: Property scanning
% 1.05/0.59  % (2738673)Time elapsed: 0.014 s
% 1.05/0.59  % (2738673)Peak memory usage: 10 MB
% 1.05/0.59  % (2738673)Instructions burned: 19 (million)
% 1.05/0.59  % (2738677)Instruction limit reached! 
% 1.05/0.59  % (2738677)------------------------------
% 1.05/0.59  % (2738677)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.05/0.59  % (2738677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/0.59  % (2738677)CaDiCaL version: 2.1.3
% 1.05/0.59  % (2738677)Termination reason: Instruction limit
% 1.05/0.59  % (2738677)Termination phase: Saturation
% 1.05/0.59  % (2738677)Time elapsed: 0.030 s
% 1.05/0.59  % (2738677)Peak memory usage: 12 MB
% 1.05/0.59  % (2738677)Instructions burned: 77 (million)
% 1.05/0.59  % (2738676)Instruction limit reached! 
% 1.05/0.59  % (2738676)------------------------------
% 1.05/0.59  % (2738676)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.05/0.59  % (2738676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/0.59  % (2738676)CaDiCaL version: 2.1.3
% 1.05/0.59  % (2738676)Termination reason: Instruction limit
% 1.05/0.59  % (2738676)Termination phase: Saturation
% 1.05/0.59  % (2738676)Time elapsed: 0.018 s
% 1.05/0.59  % (2738676)Peak memory usage: 12 MB
% 1.05/0.59  % (2738676)Instructions burned: 24 (million)
% 1.05/0.59  % (2738688)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.05/0.59  % (2738688)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3573893838:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.05/0.63  % (2738688)Instruction limit reached! 
% 1.05/0.63  % (2738688)------------------------------
% 1.05/0.63  % (2738688)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.05/0.63  % (2738688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/0.63  % (2738688)CaDiCaL version: 2.1.3
% 1.05/0.63  % (2738688)Termination reason: Instruction limit
% 1.05/0.63  % (2738688)Termination phase: Property scanning
% 1.05/0.63  % (2738688)Time elapsed: 0.003 s
% 1.05/0.63  % (2738688)Peak memory usage: 10 MB
% 1.05/0.63  % (2738688)Instructions burned: 7 (million)
% 1.05/0.63  % (2738687)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3846068415:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.05/0.63  % (2738689)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=73693093:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.05/0.63  % (2738687)Instruction limit reached! 
% 1.05/0.63  % (2738687)------------------------------
% 1.05/0.63  % (2738687)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.05/0.63  % (2738687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/0.63  % (2738687)CaDiCaL version: 2.1.3
% 1.05/0.63  % (2738687)Termination reason: Instruction limit
% 1.05/0.63  % (2738687)Termination phase: shuffling
% 1.05/0.63  % (2738687)Time elapsed: 0.004 s
% 1.05/0.63  % (2738687)Peak memory usage: 10 MB
% 1.05/0.63  % (2738687)Instructions burned: 5 (million)
% 1.05/0.63  % (2738691)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.05/0.63  % (2738691)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.05/0.63  % (2738691)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3522364981:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.05/0.63  % (2738689)Instruction limit reached! 
% 1.05/0.63  % (2738689)------------------------------
% 1.05/0.63  % (2738689)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.05/0.63  % (2738689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/0.63  % (2738672)Instruction limit reached! 
% 1.05/0.63  % (2738672)------------------------------
% 1.05/0.63  % (2738672)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.05/0.63  % (2738689)CaDiCaL version: 2.1.3
% 1.05/0.63  % (2738689)Termination reason: Instruction limit
% 1.05/0.63  % (2738689)Termination phase: Property scanning
% 1.05/0.63  % (2738672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/0.63  % (2738689)Time elapsed: 0.010 s
% 1.05/0.63  % (2738689)Peak memory usage: 10 MB
% 1.05/0.63  % (2738689)Instructions burned: 13 (million)
% 1.05/0.63  % (2738672)CaDiCaL version: 2.1.3
% 1.05/0.63  % (2738672)Termination reason: Instruction limit
% 1.05/0.63  % (2738672)Termination phase: Saturation
% 1.05/0.63  % (2738672)Time elapsed: 0.060 s
% 1.05/0.63  % (2738672)Peak memory usage: 12 MB
% 1.05/0.63  % (2738672)Instructions burned: 87 (million)
% 1.05/0.63  % (2738686)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2299871004:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.05/0.63  % (2738686)Instruction limit reached! 
% 1.05/0.63  % (2738686)------------------------------
% 1.05/0.63  % (2738686)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.05/0.63  % (2738686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/0.63  % (2738686)CaDiCaL version: 2.1.3
% 1.05/0.63  % (2738686)Termination reason: Instruction limit
% 1.05/0.63  % (2738686)Termination phase: shuffling
% 1.05/0.63  % (2738686)Time elapsed: 0.002 s
% 1.05/0.63  % (2738686)Peak memory usage: 10 MB
% 1.05/0.63  % (2738686)Instructions burned: 2 (million)
% 1.05/0.63  % (2738691)Instruction limit reached! 
% 1.05/0.63  % (2738691)------------------------------
% 1.05/0.63  % (2738691)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.05/0.63  % (2738691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/0.63  % (2738691)CaDiCaL version: 2.1.3
% 1.05/0.63  % (2738691)Termination reason: Instruction limit
% 2.00/0.69  % (2738691)Termination phase: Property scanning
% 2.00/0.69  % (2738691)Time elapsed: 0.012 s
% 2.00/0.69  % (2738691)Peak memory usage: 11 MB
% 2.00/0.69  % (2738691)Instructions burned: 30 (million)
% 2.00/0.69  % (2738697)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 2.00/0.69  % (2738700)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3663295394:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 2.00/0.69  % (2738697)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=2537509930:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 2.00/0.69  % (2738696)lrs+10_1_si=on:cs=on:random_seed=3130381901:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 2.00/0.69  % (2738697)Instruction limit reached! 
% 2.00/0.69  % (2738697)------------------------------
% 2.00/0.69  % (2738697)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.00/0.69  % (2738697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.00/0.69  % (2738697)CaDiCaL version: 2.1.3
% 2.00/0.69  % (2738697)Termination reason: Instruction limit
% 2.00/0.69  % (2738697)Termination phase: shuffling
% 2.00/0.69  % (2738697)Time elapsed: 0.002 s
% 2.00/0.69  % (2738697)Peak memory usage: 10 MB
% 2.00/0.69  % (2738697)Instructions burned: 2 (million)
% 2.00/0.69  % (2738699)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3622887283:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 2.00/0.69  % (2738694)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=1442649850:i=86:piset=equals:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/86Mi)
% 2.00/0.69  % (2738696)Instruction limit reached! 
% 2.00/0.69  % (2738696)------------------------------
% 2.00/0.69  % (2738696)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.00/0.69  % (2738696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.00/0.69  % (2738696)CaDiCaL version: 2.1.3
% 2.00/0.69  % (2738696)Termination reason: Instruction limit
% 2.00/0.69  % (2738696)Termination phase: Property scanning
% 2.00/0.69  % (2738696)Time elapsed: 0.007 s
% 2.00/0.69  % (2738696)Peak memory usage: 10 MB
% 2.00/0.69  % (2738696)Instructions burned: 10 (million)
% 2.00/0.69  % (2738678)Instruction limit reached! 
% 2.00/0.69  % (2738678)------------------------------
% 2.00/0.69  % (2738678)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.00/0.69  % (2738678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.00/0.69  % (2738678)CaDiCaL version: 2.1.3
% 2.00/0.69  % (2738678)Termination reason: Instruction limit
% 2.00/0.69  % (2738678)Termination phase: Saturation
% 2.00/0.69  % (2738678)Time elapsed: 0.113 s
% 2.00/0.69  % (2738678)Peak memory usage: 13 MB
% 2.00/0.69  % (2738678)Instructions burned: 157 (million)
% 2.00/0.69  % (2738700)Refutation not found, incomplete strategy
% 2.00/0.69  % (2738700)------------------------------
% 2.00/0.69  % (2738700)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.00/0.69  % (2738700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.00/0.69  % (2738700)CaDiCaL version: 2.1.3
% 2.00/0.69  % (2738700)Termination reason: Refutation not found, incomplete strategy
% 2.00/0.69  % (2738700)Time elapsed: 0.028 s
% 2.00/0.69  % (2738700)Peak memory usage: 13 MB
% 2.00/0.69  % (2738700)Instructions burned: 70 (million)
% 2.00/0.69  % (2738700)------------------------------
% 2.00/0.69  % (2738700)------------------------------
% 2.00/0.69  % (2738699)Instruction limit reached! 
% 2.00/0.69  % (2738699)------------------------------
% 2.00/0.69  % (2738699)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.00/0.69  % (2738699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.00/0.69  % (2738699)CaDiCaL version: 2.1.3
% 2.00/0.69  % (2738699)Termination reason: Instruction limit
% 2.00/0.69  % (2738699)Termination phase: Saturation
% 2.00/0.69  % (2738699)Time elapsed: 0.028 s
% 2.00/0.69  % (2738699)Peak memory usage: 12 MB
% 2.00/0.69  % (2738699)Instructions burned: 38 (million)
% 2.00/0.69  % (2738704)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1079894631:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 2.09/0.78  % (2738707)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2314880707:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.09/0.78  % (2738709)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1600869903:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 2.09/0.78  % (2738707)Instruction limit reached! 
% 2.09/0.78  % (2738707)------------------------------
% 2.09/0.78  % (2738707)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.09/0.78  % (2738707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.09/0.78  % (2738707)CaDiCaL version: 2.1.3
% 2.09/0.78  % (2738707)Termination reason: Instruction limit
% 2.09/0.78  % (2738707)Termination phase: Property scanning
% 2.09/0.78  % (2738707)Time elapsed: 0.011 s
% 2.09/0.78  % (2738707)Peak memory usage: 10 MB
% 2.09/0.78  % (2738707)Instructions burned: 15 (million)
% 2.09/0.78  % (2738709)Instruction limit reached! 
% 2.09/0.78  % (2738709)------------------------------
% 2.09/0.78  % (2738709)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.09/0.78  % (2738709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.09/0.78  % (2738709)CaDiCaL version: 2.1.3
% 2.09/0.78  % (2738709)Termination reason: Instruction limit
% 2.09/0.78  % (2738709)Termination phase: Property scanning
% 2.09/0.78  % (2738709)Time elapsed: 0.006 s
% 2.09/0.78  % (2738709)Peak memory usage: 10 MB
% 2.09/0.78  % (2738709)Instructions burned: 17 (million)
% 2.09/0.78  % (2738708)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=943885730:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 2.09/0.78  % (2738710)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2979888640:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 2.09/0.78  % (2738710)Instruction limit reached! 
% 2.09/0.78  % (2738710)------------------------------
% 2.09/0.78  % (2738710)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.09/0.78  % (2738710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.09/0.78  % (2738710)CaDiCaL version: 2.1.3
% 2.09/0.78  % (2738710)Termination reason: Instruction limit
% 2.09/0.78  % (2738710)Termination phase: shuffling
% 2.09/0.78  % (2738710)Time elapsed: 0.002 s
% 2.09/0.78  % (2738710)Peak memory usage: 10 MB
% 2.09/0.78  % (2738710)Instructions burned: 2 (million)
% 2.09/0.78  % (2738715)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=619534531:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.09/0.78  % (2738704)Instruction limit reached! 
% 2.09/0.78  % (2738704)------------------------------
% 2.09/0.78  % (2738704)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.09/0.78  % (2738704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.09/0.78  % (2738704)CaDiCaL version: 2.1.3
% 2.09/0.78  % (2738704)Termination reason: Instruction limit
% 2.09/0.78  % (2738704)Termination phase: Property scanning
% 2.09/0.78  % (2738704)Time elapsed: 0.035 s
% 2.09/0.78  % (2738704)Peak memory usage: 11 MB
% 2.09/0.78  % (2738704)Instructions burned: 26 (million)
% 2.09/0.78  % (2738694)Instruction limit reached! 
% 2.09/0.78  % (2738694)------------------------------
% 2.09/0.78  % (2738694)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.09/0.78  % (2738694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.09/0.78  % (2738694)CaDiCaL version: 2.1.3
% 2.09/0.78  % (2738694)Termination reason: Instruction limit
% 2.09/0.78  % (2738694)Termination phase: Saturation
% 2.09/0.78  % (2738694)Time elapsed: 0.066 s
% 2.09/0.78  % (2738694)Peak memory usage: 12 MB
% 2.09/0.78  % (2738694)Instructions burned: 87 (million)
% 2.09/0.78  % (2738715)Instruction limit reached! 
% 2.09/0.78  % (2738715)------------------------------
% 2.09/0.78  % (2738715)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.09/0.78  % (2738715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.09/0.78  % (2738715)CaDiCaL version: 2.1.3
% 2.09/0.78  % (2738715)Termination reason: Instruction limit
% 2.09/0.78  % (2738715)Termination phase: Property scanning
% 2.09/0.78  % (2738715)Time elapsed: 0.010 s
% 2.09/0.78  % (2738715)Peak memory usage: 11 MB
% 2.09/0.78  % (2738715)Instructions burned: 25 (million)
% 2.09/0.78  % (2738714)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3969967882:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 2.66/0.87  % (2738722)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=3794859854:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.66/0.87  % (2738720)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
% 2.66/0.87  % (2738720)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.66/0.87  % (2738721)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.66/0.87  % (2738714)Instruction limit reached! 
% 2.66/0.87  % (2738714)------------------------------
% 2.66/0.87  % (2738714)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.66/0.87  % (2738714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/0.87  % (2738714)CaDiCaL version: 2.1.3
% 2.66/0.87  % (2738714)Termination reason: Instruction limit
% 2.66/0.87  % (2738714)Termination phase: Property scanning
% 2.66/0.87  % (2738714)Time elapsed: 0.020 s
% 2.66/0.87  % (2738714)Peak memory usage: 10 MB
% 2.66/0.87  % (2738714)Instructions burned: 27 (million)
% 2.66/0.87  % (2738720)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=1856745782:i=14:add=off:nm=40:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 2.66/0.87  % (2738721)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=2254747877:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2997 on theBenchmark for (2997ds/8Mi)
% 2.66/0.87  % (2738722)Instruction limit reached! 
% 2.66/0.87  % (2738722)------------------------------
% 2.66/0.87  % (2738722)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.66/0.87  % (2738722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/0.87  % (2738722)CaDiCaL version: 2.1.3
% 2.66/0.87  % (2738722)Termination reason: Instruction limit
% 2.66/0.87  % (2738722)Termination phase: Saturation
% 2.66/0.87  % (2738722)Time elapsed: 0.014 s
% 2.66/0.87  % (2738722)Peak memory usage: 12 MB
% 2.66/0.87  % (2738722)Instructions burned: 33 (million)
% 2.66/0.87  % (2738721)Instruction limit reached! 
% 2.66/0.87  % (2738721)------------------------------
% 2.66/0.87  % (2738721)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.66/0.87  % (2738721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/0.87  % (2738721)CaDiCaL version: 2.1.3
% 2.66/0.87  % (2738721)Termination reason: Instruction limit
% 2.66/0.87  % (2738721)Termination phase: Property scanning
% 2.66/0.87  % (2738721)Time elapsed: 0.008 s
% 2.66/0.87  % (2738721)Peak memory usage: 10 MB
% 2.66/0.87  % (2738721)Instructions burned: 10 (million)
% 2.66/0.87  % (2738720)Instruction limit reached! 
% 2.66/0.87  % (2738720)------------------------------
% 2.66/0.87  % (2738720)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.66/0.87  % (2738720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/0.87  % (2738720)CaDiCaL version: 2.1.3
% 2.66/0.87  % (2738720)Termination reason: Instruction limit
% 2.66/0.87  % (2738720)Termination phase: Property scanning
% 2.66/0.87  % (2738720)Time elapsed: 0.011 s
% 2.66/0.87  % (2738720)Peak memory usage: 10 MB
% 2.66/0.87  % (2738720)Instructions burned: 14 (million)
% 2.66/0.87  % (2738719)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2321531651:cond=on:i=60:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/60Mi)
% 2.66/0.87  % (2738728)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1893745171:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.66/0.87  % (2738725)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3819483529:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 2.66/0.87  % (2738725)Instruction limit reached! 
% 2.66/0.87  % (2738725)------------------------------
% 2.66/0.87  % (2738725)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.07/0.99  % (2738725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/0.99  % (2738725)CaDiCaL version: 2.1.3
% 3.07/0.99  % (2738725)Termination reason: Instruction limit
% 3.07/0.99  % (2738725)Termination phase: shuffling
% 3.07/0.99  % (2738725)Time elapsed: 0.007 s
% 3.07/0.99  % (2738725)Peak memory usage: 10 MB
% 3.07/0.99  % (2738725)Instructions burned: 9 (million)
% 3.07/0.99  % (2738728)Instruction limit reached! 
% 3.07/0.99  % (2738728)------------------------------
% 3.07/0.99  % (2738728)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.07/0.99  % (2738728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/0.99  % (2738728)CaDiCaL version: 2.1.3
% 3.07/0.99  % (2738728)Termination reason: Instruction limit
% 3.07/0.99  % (2738728)Termination phase: Property scanning
% 3.07/0.99  % (2738728)Time elapsed: 0.010 s
% 3.07/0.99  % (2738728)Peak memory usage: 10 MB
% 3.07/0.99  % (2738728)Instructions burned: 26 (million)
% 3.07/0.99  % (2738729)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1137049867:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 3.07/0.99  % (2738730)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1023826882:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 3.07/0.99  % (2738729)Instruction limit reached! 
% 3.07/0.99  % (2738729)------------------------------
% 3.07/0.99  % (2738729)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.07/0.99  % (2738729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/0.99  % (2738729)CaDiCaL version: 2.1.3
% 3.07/0.99  % (2738729)Termination reason: Instruction limit
% 3.07/0.99  % (2738729)Termination phase: Property scanning
% 3.07/0.99  % (2738729)Time elapsed: 0.016 s
% 3.07/0.99  % (2738729)Peak memory usage: 11 MB
% 3.07/0.99  % (2738729)Instructions burned: 21 (million)
% 3.07/0.99  % (2738735)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=1137745021:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 3.07/0.99  % (2738734)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2226396065:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 3.07/0.99  % (2738719)Instruction limit reached! 
% 3.07/0.99  % (2738719)------------------------------
% 3.07/0.99  % (2738719)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.07/0.99  % (2738719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/0.99  % (2738719)CaDiCaL version: 2.1.3
% 3.07/0.99  % (2738719)Termination reason: Instruction limit
% 3.07/0.99  % (2738719)Termination phase: Saturation
% 3.07/0.99  % (2738719)Time elapsed: 0.052 s
% 3.07/0.99  % (2738719)Peak memory usage: 12 MB
% 3.07/0.99  % (2738719)Instructions burned: 60 (million)
% 3.07/0.99  % (2738738)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=541458895:i=42:hud=10:rtra=on_2996 on theBenchmark for (2996ds/42Mi)
% 3.07/0.99  % (2738741)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 3.07/0.99  % (2738741)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3625353481:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2996 on theBenchmark for (2996ds/7Mi)
% 3.07/0.99  % (2738741)Instruction limit reached! 
% 3.07/0.99  % (2738741)------------------------------
% 3.07/0.99  % (2738741)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.07/0.99  % (2738741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/0.99  % (2738741)CaDiCaL version: 2.1.3
% 3.07/0.99  % (2738741)Termination reason: Instruction limit
% 3.07/0.99  % (2738741)Termination phase: Property scanning
% 3.07/0.99  % (2738741)Time elapsed: 0.006 s
% 3.07/0.99  % (2738741)Peak memory usage: 10 MB
% 3.07/0.99  % (2738741)Instructions burned: 7 (million)
% 3.07/0.99  % (2738738)Instruction limit reached! 
% 3.07/0.99  % (2738738)------------------------------
% 3.07/0.99  % (2738738)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.07/0.99  % (2738738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/0.99  % (2738738)CaDiCaL version: 2.1.3
% 3.07/0.99  % (2738738)Termination reason: Instruction limit
% 3.07/0.99  % (2738738)Termination phase: Saturation
% 3.07/0.99  % (2738738)Time elapsed: 0.034 s
% 3.07/0.99  % (2738738)Peak memory usage: 12 MB
% 4.69/1.11  % (2738738)Instructions burned: 43 (million)
% 4.69/1.11  % (2738735)Refutation not found, incomplete strategy
% 4.69/1.11  % (2738735)------------------------------
% 4.69/1.11  % (2738735)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.69/1.11  % (2738735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.11  % (2738735)CaDiCaL version: 2.1.3
% 4.69/1.11  % (2738735)Termination reason: Refutation not found, incomplete strategy
% 4.69/1.11  % (2738735)Time elapsed: 0.071 s
% 4.69/1.11  % (2738735)Peak memory usage: 14 MB
% 4.69/1.11  % (2738735)Instructions burned: 93 (million)
% 4.69/1.11  % (2738735)------------------------------
% 4.69/1.11  % (2738735)------------------------------
% 4.69/1.11  % (2738744)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2173142205:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/181Mi)
% 4.69/1.11  % (2738734)Instruction limit reached! 
% 4.69/1.11  % (2738734)------------------------------
% 4.69/1.11  % (2738734)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.69/1.11  % (2738734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.12  % (2738734)CaDiCaL version: 2.1.3
% 4.69/1.12  % (2738734)Termination reason: Instruction limit
% 4.69/1.12  % (2738734)Termination phase: Saturation
% 4.69/1.12  % (2738734)Time elapsed: 0.091 s
% 4.69/1.12  % (2738734)Peak memory usage: 12 MB
% 4.69/1.12  % (2738734)Instructions burned: 144 (million)
% 4.69/1.12  % (2738745)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=1763731476:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2996 on theBenchmark for (2996ds/169Mi)
% 4.69/1.12  % (2738746)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 4.69/1.12  % (2738708)Instruction limit reached! 
% 4.69/1.12  % (2738708)------------------------------
% 4.69/1.12  % (2738708)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.69/1.12  % (2738708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.12  % (2738708)CaDiCaL version: 2.1.3
% 4.69/1.12  % (2738708)Termination reason: Instruction limit
% 4.69/1.12  % (2738708)Termination phase: Saturation
% 4.69/1.12  % (2738708)Time elapsed: 0.226 s
% 4.69/1.12  % (2738708)Peak memory usage: 14 MB
% 4.69/1.12  % (2738708)Instructions burned: 328 (million)
% 4.69/1.12  % (2738746)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=2294115327:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2996 on theBenchmark for (2996ds/6Mi)
% 4.69/1.12  % (2738746)Instruction limit reached! 
% 4.69/1.12  % (2738746)------------------------------
% 4.69/1.12  % (2738746)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.69/1.12  % (2738746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.12  % (2738746)CaDiCaL version: 2.1.3
% 4.69/1.12  % (2738746)Termination reason: Instruction limit
% 4.69/1.12  % (2738746)Termination phase: Property scanning
% 4.69/1.12  % (2738746)Time elapsed: 0.005 s
% 4.69/1.12  % (2738746)Peak memory usage: 10 MB
% 4.69/1.12  % (2738746)Instructions burned: 7 (million)
% 4.69/1.12  % (2738748)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1045615701:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2995 on theBenchmark for (2995ds/22Mi)
% 4.69/1.12  % (2738751)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1637906285:i=19:add=on:rtra=on_2995 on theBenchmark for (2995ds/19Mi)
% 4.69/1.12  % (2738752)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=4057350569:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/316Mi)
% 4.69/1.12  % (2738748)Instruction limit reached! 
% 4.69/1.12  % (2738748)------------------------------
% 4.69/1.12  % (2738748)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.69/1.12  % (2738748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.12  % (2738748)CaDiCaL version: 2.1.3
% 4.69/1.12  % (2738748)Termination reason: Instruction limit
% 4.69/1.12  % (2738748)Termination phase: Function definition elimination
% 4.69/1.12  % (2738748)Time elapsed: 0.018 s
% 4.69/1.12  % (2738748)Peak memory usage: 10 MB
% 5.46/1.23  % (2738748)Instructions burned: 23 (million)
% 5.46/1.23  % (2738751)Instruction limit reached! 
% 5.46/1.23  % (2738751)------------------------------
% 5.46/1.23  % (2738751)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.46/1.23  % (2738751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/1.23  % (2738751)CaDiCaL version: 2.1.3
% 5.46/1.23  % (2738751)Termination reason: Instruction limit
% 5.46/1.23  % (2738751)Termination phase: Function definition elimination
% 5.46/1.23  % (2738751)Time elapsed: 0.015 s
% 5.46/1.23  % (2738751)Peak memory usage: 10 MB
% 5.46/1.23  % (2738751)Instructions burned: 20 (million)
% 5.46/1.23  % (2738756)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=3055864292:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2995 on theBenchmark for (2995ds/853Mi)
% 5.46/1.23  % (2738745)Refutation not found, incomplete strategy
% 5.46/1.23  % (2738745)------------------------------
% 5.46/1.23  % (2738745)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.46/1.23  % (2738745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/1.23  % (2738745)CaDiCaL version: 2.1.3
% 5.46/1.23  % (2738745)Termination reason: Refutation not found, incomplete strategy
% 5.46/1.23  % (2738745)Time elapsed: 0.096 s
% 5.46/1.23  % (2738745)Peak memory usage: 13 MB
% 5.46/1.23  % (2738745)Instructions burned: 127 (million)
% 5.46/1.23  % (2738745)------------------------------
% 5.46/1.23  % (2738745)------------------------------
% 5.46/1.23  % (2738757)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=698518268:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2995 on theBenchmark for (2995ds/45Mi)
% 5.46/1.23  % (2738744)Refutation not found, incomplete strategy
% 5.46/1.23  % (2738744)------------------------------
% 5.46/1.23  % (2738744)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.46/1.23  % (2738744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/1.23  % (2738744)CaDiCaL version: 2.1.3
% 5.46/1.23  % (2738744)Termination reason: Refutation not found, incomplete strategy
% 5.46/1.23  % (2738744)Time elapsed: 0.122 s
% 5.46/1.23  % (2738744)Peak memory usage: 14 MB
% 5.46/1.23  % (2738744)Instructions burned: 168 (million)
% 5.46/1.23  % (2738744)------------------------------
% 5.46/1.23  % (2738744)------------------------------
% 5.46/1.23  % (2738757)Instruction limit reached! 
% 5.46/1.23  % (2738757)------------------------------
% 5.46/1.23  % (2738757)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.46/1.23  % (2738757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/1.23  % (2738757)CaDiCaL version: 2.1.3
% 5.46/1.23  % (2738757)Termination reason: Instruction limit
% 5.46/1.23  % (2738757)Termination phase: Property scanning
% 5.46/1.23  % (2738757)Time elapsed: 0.033 s
% 5.46/1.23  % (2738757)Peak memory usage: 11 MB
% 5.46/1.23  % (2738757)Instructions burned: 45 (million)
% 5.46/1.23  % (2738760)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=3103582822:i=480:rtra=on_2994 on theBenchmark for (2994ds/480Mi)
% 5.46/1.23  % (2738761)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=222602698:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2994 on theBenchmark for (2994ds/21Mi)
% 5.46/1.23  % (2738761)Instruction limit reached! 
% 5.46/1.23  % (2738761)------------------------------
% 5.46/1.23  % (2738761)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.46/1.23  % (2738761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/1.23  % (2738761)CaDiCaL version: 2.1.3
% 5.46/1.23  % (2738761)Termination reason: Instruction limit
% 5.46/1.23  % (2738761)Termination phase: Function definition elimination
% 5.46/1.23  % (2738761)Time elapsed: 0.016 s
% 5.46/1.23  % (2738761)Peak memory usage: 10 MB
% 5.46/1.23  % (2738761)Instructions burned: 22 (million)
% 5.46/1.23  % (2738762)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 5.46/1.23  % (2738760)Refutation not found, incomplete strategy
% 5.46/1.23  % (2738760)------------------------------
% 5.46/1.23  % (2738760)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.22/1.35  % (2738760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.22/1.35  % (2738760)CaDiCaL version: 2.1.3
% 6.22/1.35  % (2738760)Termination reason: Refutation not found, incomplete strategy
% 6.22/1.35  % (2738760)Time elapsed: 0.036 s
% 6.22/1.35  % (2738760)Peak memory usage: 13 MB
% 6.22/1.35  % (2738760)Instructions burned: 46 (million)
% 6.22/1.35  % (2738760)------------------------------
% 6.22/1.35  % (2738760)------------------------------
% 6.22/1.35  % (2738762)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=1852880515:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/200Mi)
% 6.22/1.35  % (2738765)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=448318591:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2994 on theBenchmark for (2994ds/13Mi)
% 6.22/1.35  % (2738675)Instruction limit reached! 
% 6.22/1.35  % (2738675)------------------------------
% 6.22/1.35  % (2738675)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.22/1.35  % (2738675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.22/1.35  % (2738675)CaDiCaL version: 2.1.3
% 6.22/1.35  % (2738675)Termination reason: Instruction limit
% 6.22/1.35  % (2738675)Termination phase: Saturation
% 6.22/1.35  % (2738675)Time elapsed: 0.563 s
% 6.22/1.35  % (2738675)Peak memory usage: 15 MB
% 6.22/1.35  % (2738675)Instructions burned: 634 (million)
% 6.22/1.35  % (2738766)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=3646491407:i=66:s2at=3:nm=2:rtra=on:rawr=on_2994 on theBenchmark for (2994ds/66Mi)
% 6.22/1.35  % (2738765)Instruction limit reached! 
% 6.22/1.35  % (2738765)------------------------------
% 6.22/1.35  % (2738765)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.22/1.35  % (2738765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.22/1.35  % (2738765)CaDiCaL version: 2.1.3
% 6.22/1.35  % (2738765)Termination reason: Instruction limit
% 6.22/1.35  % (2738765)Termination phase: SInE selection
% 6.22/1.35  % (2738765)Time elapsed: 0.011 s
% 6.22/1.35  % (2738765)Peak memory usage: 10 MB
% 6.22/1.35  % (2738765)Instructions burned: 14 (million)
% 6.22/1.35  % (2738769)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=1854876506:i=51:fsr=off:rtra=on_2993 on theBenchmark for (2993ds/51Mi)
% 6.22/1.35  % (2738771)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=1137426714:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/31Mi)
% 6.22/1.35  % (2738766)Instruction limit reached! 
% 6.22/1.35  % (2738766)------------------------------
% 6.22/1.35  % (2738766)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.22/1.35  % (2738766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.22/1.35  % (2738766)CaDiCaL version: 2.1.3
% 6.22/1.35  % (2738766)Termination reason: Instruction limit
% 6.22/1.35  % (2738766)Termination phase: Saturation
% 6.22/1.35  % (2738766)Time elapsed: 0.050 s
% 6.22/1.35  % (2738766)Peak memory usage: 12 MB
% 6.22/1.35  % (2738766)Instructions burned: 66 (million)
% 6.22/1.35  % (2738771)Instruction limit reached! 
% 6.22/1.35  % (2738771)------------------------------
% 6.22/1.35  % (2738771)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.22/1.35  % (2738771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.22/1.35  % (2738771)CaDiCaL version: 2.1.3
% 6.22/1.35  % (2738771)Termination reason: Instruction limit
% 6.22/1.35  % (2738771)Termination phase: Property scanning
% 6.22/1.35  % (2738771)Time elapsed: 0.024 s
% 6.22/1.35  % (2738771)Peak memory usage: 10 MB
% 6.22/1.35  % (2738771)Instructions burned: 31 (million)
% 6.22/1.35  % (2738769)Instruction limit reached! 
% 6.22/1.35  % (2738769)------------------------------
% 6.22/1.35  % (2738769)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.22/1.35  % (2738769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.22/1.35  % (2738769)CaDiCaL version: 2.1.3
% 6.22/1.35  % (2738769)Termination reason: Instruction limit
% 6.22/1.35  % (2738769)Termination phase: Saturation
% 6.22/1.35  % (2738769)Time elapsed: 0.040 s
% 6.22/1.35  % (2738769)Peak memory usage: 12 MB
% 6.22/1.35  % (2738769)Instructions burned: 51 (million)
% 6.22/1.35  % (2738752)Instruction limit reached! 
% 6.22/1.35  % (2738752)------------------------------
% 6.22/1.35  % (2738752)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.17/1.50  % (2738752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.17/1.50  % (2738752)CaDiCaL version: 2.1.3
% 7.17/1.50  % (2738752)Termination reason: Instruction limit
% 7.17/1.50  % (2738752)Termination phase: Saturation
% 7.17/1.50  % (2738752)Time elapsed: 0.244 s
% 7.17/1.50  % (2738752)Peak memory usage: 15 MB
% 7.17/1.50  % (2738752)Instructions burned: 316 (million)
% 7.17/1.50  % (2738774)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=3737540503:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2993 on theBenchmark for (2993ds/137Mi)
% 7.17/1.50  % (2738775)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=576140821:cond=on:i=34:hud=10:nm=10:rtra=on_2993 on theBenchmark for (2993ds/34Mi)
% 7.17/1.50  % (2738776)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=2695919573:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2993 on theBenchmark for (2993ds/67Mi)
% 7.17/1.50  % (2738762)Instruction limit reached! 
% 7.17/1.50  % (2738762)------------------------------
% 7.17/1.50  % (2738762)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.17/1.50  % (2738762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.17/1.50  % (2738762)CaDiCaL version: 2.1.3
% 7.17/1.50  % (2738762)Termination reason: Instruction limit
% 7.17/1.50  % (2738762)Termination phase: Saturation
% 7.17/1.50  % (2738762)Time elapsed: 0.148 s
% 7.17/1.50  % (2738762)Peak memory usage: 14 MB
% 7.17/1.50  % (2738762)Instructions burned: 200 (million)
% 7.17/1.50  % (2738775)Instruction limit reached! 
% 7.17/1.50  % (2738775)------------------------------
% 7.17/1.50  % (2738775)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.17/1.50  % (2738775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.17/1.50  % (2738775)CaDiCaL version: 2.1.3
% 7.17/1.50  % (2738775)Termination reason: Instruction limit
% 7.17/1.50  % (2738775)Termination phase: Property scanning
% 7.17/1.50  % (2738775)Time elapsed: 0.026 s
% 7.17/1.50  % (2738775)Peak memory usage: 10 MB
% 7.17/1.50  % (2738775)Instructions burned: 34 (million)
% 7.17/1.50  % (2738778)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 7.17/1.50  % (2738778)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=233292642:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2992 on theBenchmark for (2992ds/180Mi)
% 7.17/1.50  % (2738781)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=2019854635:st=2:i=246:sd=3:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/246Mi)
% 7.17/1.50  % (2738782)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=974412983:cond=on:i=96:bd=all:rtra=on_2992 on theBenchmark for (2992ds/96Mi)
% 7.17/1.50  % (2738776)Instruction limit reached! 
% 7.17/1.50  % (2738776)------------------------------
% 7.17/1.50  % (2738776)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.17/1.50  % (2738776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.17/1.50  % (2738776)CaDiCaL version: 2.1.3
% 7.17/1.50  % (2738776)Termination reason: Instruction limit
% 7.17/1.50  % (2738776)Termination phase: Saturation
% 7.17/1.50  % (2738776)Time elapsed: 0.051 s
% 7.17/1.50  % (2738776)Peak memory usage: 12 MB
% 7.17/1.50  % (2738776)Instructions burned: 68 (million)
% 7.17/1.50  % (2738756)Instruction limit reached! 
% 7.17/1.50  % (2738756)------------------------------
% 7.17/1.50  % (2738756)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.17/1.50  % (2738756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.17/1.50  % (2738756)CaDiCaL version: 2.1.3
% 7.17/1.50  % (2738756)Termination reason: Instruction limit
% 7.17/1.50  % (2738756)Termination phase: Saturation
% 7.17/1.50  % (2738756)Time elapsed: 0.292 s
% 7.17/1.50  % (2738756)Peak memory usage: 15 MB
% 7.17/1.50  % (2738756)Instructions burned: 853 (million)
% 7.17/1.50  % (2738787)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1723483474:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/874Mi)
% 7.17/1.50  % (2738786)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=3724275739:i=427:sd=1:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/427Mi)
% 7.17/1.50  % (2738774)Instruction limit reached! 
% 7.17/1.50  % (2738774)------------------------------
% 7.48/1.67  % (2738774)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.48/1.67  % (2738774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/1.67  % (2738774)CaDiCaL version: 2.1.3
% 7.48/1.67  % (2738774)Termination reason: Instruction limit
% 7.48/1.67  % (2738774)Termination phase: Saturation
% 7.48/1.67  % (2738774)Time elapsed: 0.117 s
% 7.48/1.67  % (2738774)Peak memory usage: 13 MB
% 7.48/1.67  % (2738774)Instructions burned: 138 (million)
% 7.48/1.67  % (2738782)Instruction limit reached! 
% 7.48/1.67  % (2738782)------------------------------
% 7.48/1.67  % (2738782)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.48/1.67  % (2738782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/1.67  % (2738782)CaDiCaL version: 2.1.3
% 7.48/1.67  % (2738782)Termination reason: Instruction limit
% 7.48/1.67  % (2738782)Termination phase: Saturation
% 7.48/1.67  % (2738782)Time elapsed: 0.070 s
% 7.48/1.67  % (2738782)Peak memory usage: 12 MB
% 7.48/1.67  % (2738782)Instructions burned: 96 (million)
% 7.48/1.67  % (2738790)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=2490525964:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/515Mi)
% 7.48/1.67  % (2738786)Refutation not found, incomplete strategy
% 7.48/1.67  % (2738786)------------------------------
% 7.48/1.67  % (2738786)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.48/1.67  % (2738786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/1.67  % (2738786)CaDiCaL version: 2.1.3
% 7.48/1.67  % (2738786)Termination reason: Refutation not found, incomplete strategy
% 7.48/1.67  % (2738786)Time elapsed: 0.060 s
% 7.48/1.67  % (2738786)Peak memory usage: 13 MB
% 7.48/1.67  % (2738786)Instructions burned: 76 (million)
% 7.48/1.67  % (2738786)------------------------------
% 7.48/1.67  % (2738786)------------------------------
% 7.48/1.67  % (2738778)Instruction limit reached! 
% 7.48/1.67  % (2738778)------------------------------
% 7.48/1.67  % (2738778)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.48/1.67  % (2738781)Refutation not found, incomplete strategy
% 7.48/1.67  % (2738781)------------------------------
% 7.48/1.67  % (2738781)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.48/1.67  % (2738778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/1.67  % (2738781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/1.67  % (2738781)CaDiCaL version: 2.1.3
% 7.48/1.67  % (2738778)CaDiCaL version: 2.1.3
% 7.48/1.67  % (2738778)Termination reason: Instruction limit
% 7.48/1.67  % (2738778)Termination phase: Saturation
% 7.48/1.67  % (2738781)Termination reason: Refutation not found, incomplete strategy
% 7.48/1.67  % (2738781)Time elapsed: 0.108 s
% 7.48/1.67  % (2738778)Time elapsed: 0.131 s
% 7.48/1.67  % (2738781)Peak memory usage: 14 MB
% 7.48/1.67  % (2738778)Peak memory usage: 13 MB
% 7.48/1.67  % (2738781)Instructions burned: 149 (million)
% 7.48/1.67  % (2738778)Instructions burned: 180 (million)
% 7.48/1.67  % (2738781)------------------------------
% 7.48/1.67  % (2738781)------------------------------
% 7.48/1.67  % (2738791)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=1757964028:st=1.5:i=130:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/130Mi)
% 7.48/1.67  % (2738793)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=4199473813:i=44:ep=R:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/44Mi)
% 7.48/1.67  % (2738794)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=2715738958:s2a=on:i=571:nm=16:rtra=on_2991 on theBenchmark for (2991ds/571Mi)
% 7.48/1.67  % (2738796)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=206208887:i=450:rtra=on:ixr=off:ntd=on_2991 on theBenchmark for (2991ds/450Mi)
% 7.48/1.67  % (2738793)Instruction limit reached! 
% 7.48/1.67  % (2738793)------------------------------
% 7.48/1.67  % (2738793)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.48/1.67  % (2738793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/1.67  % (2738793)CaDiCaL version: 2.1.3
% 7.48/1.67  % (2738793)Termination reason: Instruction limit
% 7.48/1.67  % (2738793)Termination phase: Saturation
% 7.48/1.67  % (2738793)Time elapsed: 0.034 s
% 7.48/1.67  % (2738793)Peak memory usage: 11 MB
% 7.48/1.67  % (2738793)Instructions burned: 45 (million)
% 7.48/1.67  % (2738794)Refutation not found, incomplete strategy
% 8.70/1.76  % (2738794)------------------------------
% 8.70/1.76  % (2738794)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.70/1.76  % (2738794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.70/1.76  % (2738794)CaDiCaL version: 2.1.3
% 8.70/1.76  % (2738794)Termination reason: Refutation not found, incomplete strategy
% 8.70/1.76  % (2738794)Time elapsed: 0.034 s
% 8.70/1.76  % (2738794)Peak memory usage: 13 MB
% 8.70/1.76  % (2738794)Instructions burned: 45 (million)
% 8.70/1.76  % (2738794)------------------------------
% 8.70/1.76  % (2738794)------------------------------
% 8.70/1.76  % (2738791)Instruction limit reached! 
% 8.70/1.76  % (2738791)------------------------------
% 8.70/1.76  % (2738791)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.70/1.76  % (2738800)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=4099303864:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/95Mi)
% 8.70/1.76  % (2738791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.70/1.76  % (2738791)CaDiCaL version: 2.1.3
% 8.70/1.76  % (2738791)Termination reason: Instruction limit
% 8.70/1.76  % (2738791)Termination phase: Saturation
% 8.70/1.76  % (2738791)Time elapsed: 0.095 s
% 8.70/1.76  % (2738791)Peak memory usage: 12 MB
% 8.70/1.76  % (2738791)Instructions burned: 131 (million)
% 8.70/1.76  % (2738801)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=2398770188:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2990 on theBenchmark for (2990ds/65Mi)
% 8.70/1.76  % (2738804)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=4024001149: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_2990 on theBenchmark for (2990ds/105Mi)
% 8.70/1.76  % (2738801)Instruction limit reached! 
% 8.70/1.76  % (2738801)------------------------------
% 8.70/1.76  % (2738801)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.70/1.76  % (2738801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.70/1.76  % (2738801)CaDiCaL version: 2.1.3
% 8.70/1.76  % (2738801)Termination reason: Instruction limit
% 8.70/1.76  % (2738801)Termination phase: Saturation
% 8.70/1.76  % (2738801)Time elapsed: 0.046 s
% 8.70/1.76  % (2738801)Peak memory usage: 12 MB
% 8.70/1.76  % (2738801)Instructions burned: 65 (million)
% 8.70/1.76  % (2738800)Instruction limit reached! 
% 8.70/1.76  % (2738800)------------------------------
% 8.70/1.76  % (2738800)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.70/1.76  % (2738800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.70/1.76  % (2738800)CaDiCaL version: 2.1.3
% 8.70/1.76  % (2738800)Termination reason: Instruction limit
% 8.70/1.76  % (2738800)Termination phase: Saturation
% 8.70/1.76  % (2738800)Time elapsed: 0.069 s
% 8.70/1.76  % (2738800)Peak memory usage: 12 MB
% 8.70/1.76  % (2738800)Instructions burned: 95 (million)
% 8.70/1.76  % (2738806)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=1801241885:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2989 on theBenchmark for (2989ds/5755Mi)
% 8.70/1.76  % (2738787)Instruction limit reached! 
% 8.70/1.76  % (2738787)------------------------------
% 8.70/1.76  % (2738787)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.70/1.76  % (2738787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.70/1.76  % (2738787)CaDiCaL version: 2.1.3
% 8.70/1.76  % (2738787)Termination reason: Instruction limit
% 8.70/1.76  % (2738787)Termination phase: Saturation
% 8.70/1.76  % (2738787)Time elapsed: 0.273 s
% 8.70/1.76  % (2738787)Peak memory usage: 13 MB
% 8.70/1.76  % (2738787)Instructions burned: 875 (million)
% 8.70/1.76  % (2738807)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=2346807271:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/375Mi)
% 8.70/1.76  % (2738809)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=530825591:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2989 on theBenchmark for (2989ds/495Mi)
% 8.70/1.76  % (2738804)Instruction limit reached! 
% 9.37/2.05  % (2738804)------------------------------
% 9.37/2.05  % (2738804)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.37/2.05  % (2738804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.37/2.05  % (2738804)CaDiCaL version: 2.1.3
% 9.37/2.05  % (2738804)Termination reason: Instruction limit
% 9.37/2.05  % (2738804)Termination phase: Saturation
% 9.37/2.05  % (2738804)Time elapsed: 0.076 s
% 9.37/2.05  % (2738804)Peak memory usage: 12 MB
% 9.37/2.05  % (2738804)Instructions burned: 106 (million)
% 9.37/2.05  % (2738812)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=968906690:cond=on:i=34:hud=10:nm=10:rtra=on_2989 on theBenchmark for (2989ds/34Mi)
% 9.37/2.05  % (2738812)Instruction limit reached! 
% 9.37/2.05  % (2738812)------------------------------
% 9.37/2.05  % (2738812)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.37/2.05  % (2738812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.37/2.05  % (2738812)CaDiCaL version: 2.1.3
% 9.37/2.05  % (2738812)Termination reason: Instruction limit
% 9.37/2.05  % (2738812)Termination phase: Property scanning
% 9.37/2.05  % (2738812)Time elapsed: 0.026 s
% 9.37/2.05  % (2738812)Peak memory usage: 10 MB
% 9.37/2.05  % (2738812)Instructions burned: 35 (million)
% 9.37/2.05  % (2738730)Instruction limit reached! 
% 9.37/2.05  % (2738730)------------------------------
% 9.37/2.05  % (2738730)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.37/2.05  % (2738730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.37/2.05  % (2738730)CaDiCaL version: 2.1.3
% 9.37/2.05  % (2738730)Termination reason: Instruction limit
% 9.37/2.05  % (2738730)Termination phase: Saturation
% 9.37/2.05  % (2738730)Time elapsed: 0.891 s
% 9.37/2.05  % (2738730)Peak memory usage: 14 MB
% 9.37/2.05  % (2738730)Instructions burned: 1240 (million)
% 9.37/2.05  % (2738790)Instruction limit reached! 
% 9.37/2.05  % (2738790)------------------------------
% 9.37/2.05  % (2738790)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.37/2.05  % (2738790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.37/2.05  % (2738790)CaDiCaL version: 2.1.3
% 9.37/2.05  % (2738790)Termination reason: Instruction limit
% 9.37/2.05  % (2738790)Termination phase: Saturation
% 9.37/2.05  % (2738790)Time elapsed: 0.338 s
% 9.37/2.05  % (2738790)Peak memory usage: 14 MB
% 9.37/2.05  % (2738790)Instructions burned: 515 (million)
% 9.37/2.05  % (2738814)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=256165184:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2988 on theBenchmark for (2988ds/91Mi)
% 9.37/2.05  % (2738815)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=3528330116:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2988 on theBenchmark for (2988ds/66Mi)
% 9.37/2.05  % (2738796)Instruction limit reached! 
% 9.37/2.05  % (2738796)------------------------------
% 9.37/2.05  % (2738796)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.37/2.05  % (2738796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.37/2.05  % (2738796)CaDiCaL version: 2.1.3
% 9.37/2.05  % (2738796)Termination reason: Instruction limit
% 9.37/2.05  % (2738796)Termination phase: Saturation
% 9.37/2.05  % (2738796)Time elapsed: 0.327 s
% 9.37/2.05  % (2738796)Peak memory usage: 17 MB
% 9.37/2.05  % (2738796)Instructions burned: 450 (million)
% 9.37/2.05  % (2738817)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=801215855:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2987 on theBenchmark for (2987ds/22Mi)
% 9.37/2.05  % (2738817)Instruction limit reached! 
% 9.37/2.05  % (2738817)------------------------------
% 9.37/2.05  % (2738817)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.37/2.05  % (2738817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.37/2.05  % (2738817)CaDiCaL version: 2.1.3
% 9.37/2.05  % (2738817)Termination reason: Instruction limit
% 9.37/2.05  % (2738817)Termination phase: Function definition elimination
% 9.37/2.05  % (2738817)Time elapsed: 0.017 s
% 9.37/2.05  % (2738817)Peak memory usage: 10 MB
% 9.37/2.05  % (2738817)Instructions burned: 23 (million)
% 9.37/2.05  % (2738815)Instruction limit reached! 
% 9.37/2.05  % (2738815)------------------------------
% 9.37/2.05  % (2738815)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.37/2.05  % (2738815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.84/2.13  % (2738815)CaDiCaL version: 2.1.3
% 11.84/2.13  % (2738815)Termination reason: Instruction limit
% 11.84/2.13  % (2738815)Termination phase: Saturation
% 11.84/2.13  % (2738815)Time elapsed: 0.050 s
% 11.84/2.13  % (2738815)Peak memory usage: 12 MB
% 11.84/2.13  % (2738815)Instructions burned: 68 (million)
% 11.84/2.13  % (2738814)Instruction limit reached! 
% 11.84/2.13  % (2738814)------------------------------
% 11.84/2.13  % (2738814)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.84/2.13  % (2738814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.84/2.13  % (2738814)CaDiCaL version: 2.1.3
% 11.84/2.13  % (2738814)Termination reason: Instruction limit
% 11.84/2.13  % (2738814)Termination phase: Saturation
% 11.84/2.13  % (2738814)Time elapsed: 0.073 s
% 11.84/2.13  % (2738814)Peak memory usage: 13 MB
% 11.84/2.13  % (2738814)Instructions burned: 91 (million)
% 11.84/2.13  % (2738819)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=464390321:i=338:bd=all:ins=4:rtra=on_2987 on theBenchmark for (2987ds/338Mi)
% 11.84/2.13  % (2738809)Instruction limit reached! 
% 11.84/2.13  % (2738809)------------------------------
% 11.84/2.13  % (2738809)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.84/2.13  % (2738809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.84/2.13  % (2738809)CaDiCaL version: 2.1.3
% 11.84/2.13  % (2738809)Termination reason: Instruction limit
% 11.84/2.13  % (2738809)Termination phase: Saturation
% 11.84/2.13  % (2738809)Time elapsed: 0.193 s
% 11.84/2.13  % (2738809)Peak memory usage: 17 MB
% 11.84/2.13  % (2738809)Instructions burned: 495 (million)
% 11.84/2.13  % (2738821)lrs+10_1_sil=128000:si=on:urr=on:random_seed=2338536669:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2987 on theBenchmark for (2987ds/28Mi)
% 11.84/2.13  % (2738822)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 11.84/2.13  % (2738822)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=2803002207:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2987 on theBenchmark for (2987ds/137Mi)
% 11.84/2.13  % (2738825)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=3681996185:i=227:sd=1:bd=all:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/227Mi)
% 11.84/2.13  % (2738823)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=772928834:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2987 on theBenchmark for (2987ds/340Mi)
% 11.84/2.13  % (2738821)Instruction limit reached! 
% 11.84/2.13  % (2738821)------------------------------
% 11.84/2.13  % (2738821)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.84/2.13  % (2738821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.84/2.13  % (2738821)CaDiCaL version: 2.1.3
% 11.84/2.13  % (2738821)Termination reason: Instruction limit
% 11.84/2.13  % (2738821)Termination phase: Property scanning
% 11.84/2.13  % (2738821)Time elapsed: 0.021 s
% 11.84/2.13  % (2738821)Peak memory usage: 11 MB
% 11.84/2.13  % (2738821)Instructions burned: 28 (million)
% 11.84/2.13  % (2738825)Refutation not found, incomplete strategy
% 11.84/2.13  % (2738825)------------------------------
% 11.84/2.13  % (2738825)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.84/2.13  % (2738825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.84/2.13  % (2738825)CaDiCaL version: 2.1.3
% 11.84/2.13  % (2738825)Termination reason: Refutation not found, incomplete strategy
% 11.84/2.13  % (2738825)Time elapsed: 0.029 s
% 11.84/2.13  % (2738825)Peak memory usage: 13 MB
% 11.84/2.13  % (2738825)Instructions burned: 72 (million)
% 11.84/2.13  % (2738825)------------------------------
% 11.84/2.13  % (2738825)------------------------------
% 11.84/2.13  % (2738830)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 11.84/2.13  % (2738831)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=593354916:i=116:ep=RSTC:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/116Mi)
% 11.84/2.13  % (2738830)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=2342441715:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/373Mi)
% 12.85/2.32  % (2738831)Instruction limit reached! 
% 12.85/2.32  % (2738831)------------------------------
% 12.85/2.32  % (2738831)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.85/2.32  % (2738831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.85/2.32  % (2738831)CaDiCaL version: 2.1.3
% 12.85/2.32  % (2738831)Termination reason: Instruction limit
% 12.85/2.32  % (2738831)Termination phase: Saturation
% 12.85/2.32  % (2738831)Time elapsed: 0.045 s
% 12.85/2.32  % (2738831)Peak memory usage: 12 MB
% 12.85/2.32  % (2738831)Instructions burned: 117 (million)
% 12.85/2.32  % (2738822)Instruction limit reached! 
% 12.85/2.32  % (2738822)------------------------------
% 12.85/2.32  % (2738822)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.85/2.32  % (2738822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.85/2.32  % (2738822)CaDiCaL version: 2.1.3
% 12.85/2.32  % (2738822)Termination reason: Instruction limit
% 12.85/2.32  % (2738822)Termination phase: Saturation
% 12.85/2.32  % (2738822)Time elapsed: 0.098 s
% 12.85/2.32  % (2738822)Peak memory usage: 12 MB
% 12.85/2.32  % (2738822)Instructions burned: 137 (million)
% 12.85/2.32  % (2738807)Instruction limit reached! 
% 12.85/2.32  % (2738807)------------------------------
% 12.85/2.32  % (2738807)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.85/2.32  % (2738807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.85/2.32  % (2738807)CaDiCaL version: 2.1.3
% 12.85/2.32  % (2738807)Termination reason: Instruction limit
% 12.85/2.32  % (2738807)Termination phase: Saturation
% 12.85/2.32  % (2738807)Time elapsed: 0.316 s
% 12.85/2.32  % (2738807)Peak memory usage: 14 MB
% 12.85/2.32  % (2738807)Instructions burned: 375 (million)
% 12.85/2.32  % (2738834)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=3062494512:i=575:rtra=on_2986 on theBenchmark for (2986ds/575Mi)
% 12.85/2.32  % (2738835)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=1793388850:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2985 on theBenchmark for (2985ds/270Mi)
% 12.85/2.32  % (2738836)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=3499205313: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_2985 on theBenchmark for (2985ds/9840Mi)
% 12.85/2.32  % (2738819)Instruction limit reached! 
% 12.85/2.32  % (2738819)------------------------------
% 12.85/2.32  % (2738819)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.85/2.32  % (2738819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.85/2.32  % (2738819)CaDiCaL version: 2.1.3
% 12.85/2.32  % (2738819)Termination reason: Instruction limit
% 12.85/2.32  % (2738819)Termination phase: Saturation
% 12.85/2.32  % (2738819)Time elapsed: 0.264 s
% 12.85/2.32  % (2738819)Peak memory usage: 16 MB
% 12.85/2.32  % (2738819)Instructions burned: 338 (million)
% 12.85/2.32  % (2738823)Instruction limit reached! 
% 12.85/2.32  % (2738823)------------------------------
% 12.85/2.32  % (2738823)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.85/2.32  % (2738823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.85/2.32  % (2738823)CaDiCaL version: 2.1.3
% 12.85/2.32  % (2738823)Termination reason: Instruction limit
% 12.85/2.32  % (2738823)Termination phase: Saturation
% 12.85/2.32  % (2738823)Time elapsed: 0.263 s
% 12.85/2.32  % (2738823)Peak memory usage: 14 MB
% 12.85/2.32  % (2738823)Instructions burned: 340 (million)
% 12.85/2.32  % (2738840)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=2699950457:i=421:rtra=on:ss=axioms_2984 on theBenchmark for (2984ds/421Mi)
% 12.85/2.32  % (2738841)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
% 12.85/2.32  % (2738841)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=1761541221:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2984 on theBenchmark for (2984ds/270Mi)
% 12.85/2.32  % (2738834)Instruction limit reached! 
% 12.85/2.32  % (2738834)------------------------------
% 12.85/2.32  % (2738834)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.24/2.83  % (2738834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.24/2.83  % (2738834)CaDiCaL version: 2.1.3
% 15.24/2.83  % (2738834)Termination reason: Instruction limit
% 15.24/2.83  % (2738834)Termination phase: Saturation
% 15.24/2.83  % (2738834)Time elapsed: 0.223 s
% 15.24/2.83  % (2738834)Peak memory usage: 17 MB
% 15.24/2.83  % (2738834)Instructions burned: 577 (million)
% 15.24/2.83  % (2738835)Instruction limit reached! 
% 15.24/2.83  % (2738835)------------------------------
% 15.24/2.83  % (2738835)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.24/2.83  % (2738835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.24/2.83  % (2738835)CaDiCaL version: 2.1.3
% 15.24/2.83  % (2738835)Termination reason: Instruction limit
% 15.24/2.83  % (2738835)Termination phase: Saturation
% 15.24/2.83  % (2738835)Time elapsed: 0.211 s
% 15.24/2.83  % (2738835)Peak memory usage: 13 MB
% 15.24/2.83  % (2738835)Instructions burned: 271 (million)
% 15.24/2.83  % (2738830)Instruction limit reached! 
% 15.24/2.83  % (2738830)------------------------------
% 15.24/2.83  % (2738830)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.24/2.83  % (2738830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.24/2.83  % (2738830)CaDiCaL version: 2.1.3
% 15.24/2.83  % (2738830)Termination reason: Instruction limit
% 15.24/2.83  % (2738830)Termination phase: Saturation
% 15.24/2.83  % (2738830)Time elapsed: 0.293 s
% 15.24/2.83  % (2738830)Peak memory usage: 13 MB
% 15.24/2.83  % (2738830)Instructions burned: 373 (million)
% 15.24/2.83  % (2738844)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=467330654:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2983 on theBenchmark for (2983ds/31Mi)
% 15.24/2.83  % (2738845)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 15.24/2.83  % (2738845)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
% 15.24/2.83  % (2738844)Instruction limit reached! 
% 15.24/2.83  % (2738844)------------------------------
% 15.24/2.83  % (2738844)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.24/2.83  % (2738844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.24/2.83  % (2738844)CaDiCaL version: 2.1.3
% 15.24/2.83  % (2738844)Termination reason: Instruction limit
% 15.24/2.83  % (2738844)Termination phase: Property scanning
% 15.24/2.83  % (2738844)Time elapsed: 0.013 s
% 15.24/2.83  % (2738844)Peak memory usage: 10 MB
% 15.24/2.83  % (2738844)Instructions burned: 33 (million)
% 15.24/2.83  % (2738845)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=720662872:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2983 on theBenchmark for (2983ds/1440Mi)
% 15.24/2.83  % (2738840)Refutation not found, incomplete strategy
% 15.24/2.83  % (2738840)------------------------------
% 15.24/2.83  % (2738840)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.24/2.83  % (2738840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.24/2.83  % (2738840)CaDiCaL version: 2.1.3
% 15.24/2.83  % (2738840)Termination reason: Refutation not found, incomplete strategy
% 15.24/2.83  % (2738840)Time elapsed: 0.096 s
% 15.24/2.83  % (2738840)Peak memory usage: 13 MB
% 15.24/2.83  % (2738840)Instructions burned: 133 (million)
% 15.24/2.83  % (2738846)dis+10_2_sil=128000:si=on:random_seed=1856976461:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2983 on theBenchmark for (2983ds/339Mi)
% 15.24/2.83  % (2738840)------------------------------
% 15.24/2.83  % (2738840)------------------------------
% 15.24/2.83  % (2738848)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=297360842:i=111:add=on:fgj=on:rtra=on:fdi=1024_2983 on theBenchmark for (2983ds/111Mi)
% 15.24/2.83  % (2738851)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=1796440527:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2983 on theBenchmark for (2983ds/122Mi)
% 15.24/2.83  % (2738841)Refutation not found, incomplete strategy
% 15.24/2.83  % (2738841)------------------------------
% 15.24/2.83  % (2738841)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.24/2.83  % (2738841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.24/2.83  % (2738841)CaDiCaL version: 2.1.3
% 15.24/2.83  % (2738841)Termination reason: Refutation not found, incomplete strategy
% 15.24/2.83  % (2738841)Time elapsed: 0.107 s
% 15.24/2.83  % (2738841)Peak memory usage: 13 MB
% 15.24/2.83  % (2738841)Instructions burned: 142 (million)
% 15.24/2.83  % (2738841)------------------------------
% 15.24/2.83  % (2738841)------------------------------
% 15.24/2.83  % (2738848)Instruction limit reached! 
% 15.24/2.83  % (2738848)------------------------------
% 15.24/2.83  % (2738848)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.24/2.83  % (2738848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.24/2.83  % (2738848)CaDiCaL version: 2.1.3
% 15.24/2.83  % (2738848)Termination reason: Instruction limit
% 15.24/2.83  % (2738848)Termination phase: Saturation
% 15.24/2.83  % (2738848)Time elapsed: 0.042 s
% 15.24/2.83  % (2738848)Peak memory usage: 12 MB
% 15.24/2.83  % (2738848)Instructions burned: 111 (million)
% 15.24/2.83  % (2738855)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2384326704:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2982 on theBenchmark for (2982ds/232Mi)
% 15.24/2.83  % (2738854)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=1593987713:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2982 on theBenchmark for (2982ds/136Mi)
% 15.24/2.83  % (2738855)Refutation not found, incomplete strategy
% 15.24/2.83  % (2738855)------------------------------
% 15.24/2.83  % (2738855)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.24/2.83  % (2738855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.24/2.83  % (2738855)CaDiCaL version: 2.1.3
% 15.24/2.83  % (2738855)Termination reason: Refutation not found, incomplete strategy
% 15.24/2.83  % (2738855)Time elapsed: 0.021 s
% 15.24/2.83  % (2738855)Peak memory usage: 13 MB
% 15.24/2.83  % (2738855)Instructions burned: 47 (million)
% 15.24/2.83  % (2738855)------------------------------
% 15.24/2.83  % (2738855)------------------------------
% 15.24/2.83  % (2738858)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=105555546:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2982 on theBenchmark for (2982ds/1254Mi)
% 15.24/2.83  % (2738851)Instruction limit reached! 
% 15.24/2.83  % (2738851)------------------------------
% 15.24/2.83  % (2738851)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.24/2.83  % (2738851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.24/2.83  % (2738851)CaDiCaL version: 2.1.3
% 15.24/2.83  % (2738851)Termination reason: Instruction limit
% 15.24/2.83  % (2738851)Termination phase: Saturation
% 15.24/2.83  % (2738851)Time elapsed: 0.089 s
% 15.24/2.83  % (2738851)Peak memory usage: 12 MB
% 15.24/2.83  % (2738851)Instructions burned: 123 (million)
% 15.24/2.83  % (2738860)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 15.24/2.83  % (2738860)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=3487910530:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2981 on theBenchmark for (2981ds/281Mi)
% 15.24/2.83  % (2738854)Instruction limit reached! 
% 15.24/2.83  % (2738854)------------------------------
% 15.24/2.83  % (2738854)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.24/2.83  % (2738854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.24/2.83  % (2738854)CaDiCaL version: 2.1.3
% 15.24/2.83  % (2738854)Termination reason: Instruction limit
% 15.24/2.83  % (2738854)Termination phase: Saturation
% 15.24/2.83  % (2738854)Time elapsed: 0.096 s
% 15.24/2.83  % (2738854)Peak memory usage: 12 MB
% 15.24/2.83  % (2738854)Instructions burned: 137 (million)
% 15.24/2.83  % (2738862)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2940497882:i=619:add=on:rtra=on_2981 on theBenchmark for (2981ds/619Mi)
% 15.24/2.83  % (2738846)Instruction limit reached! 
% 15.24/2.83  % (2738846)------------------------------
% 15.24/2.83  % (2738846)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.24/2.83  % (2738846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.24/2.83  % (2738846)CaDiCaL version: 2.1.3
% 15.24/2.83  % (2738846)Termination reason: Instruction limit
% 15.24/2.83  % (2738846)Termination phase: Saturation
% 15.24/2.83  % (2738846)Time elapsed: 0.233 s
% 15.24/2.83  % (2738846)Peak memory usage: 13 MB
% 15.24/2.83  % (2738846)Instructions burned: 340 (million)
% 15.24/2.83  % (2738864)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=1872614256:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2980 on theBenchmark for (2980ds/865Mi)
% 15.24/2.83  % (2738860)Instruction limit reached! 
% 15.24/2.83  % (2738860)------------------------------
% 15.24/2.83  % (2738860)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.24/2.83  % (2738860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.24/2.83  % (2738860)CaDiCaL version: 2.1.3
% 15.24/2.83  % (2738860)Termination reason: Instruction limit
% 15.24/2.83  % (2738860)Termination phase: Saturation
% 15.24/2.83  % (2738860)Time elapsed: 0.196 s
% 15.24/2.83  % (2738860)Peak memory usage: 13 MB
% 15.24/2.83  % (2738860)Instructions burned: 282 (million)
% 15.24/2.83  % (2738866)lrs+10_1_sil=128000:si=on:urr=on:random_seed=80145173:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2979 on theBenchmark for (2979ds/212Mi)
% 15.24/2.83  % (2738866)Instruction limit reached! 
% 15.24/2.83  % (2738866)------------------------------
% 15.24/2.83  % (2738866)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.24/2.83  % (2738866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.24/2.83  % (2738866)CaDiCaL version: 2.1.3
% 15.24/2.83  % (2738866)Termination reason: Instruction limit
% 15.24/2.83  % (2738866)Termination phase: Saturation
% 15.24/2.83  % (2738866)Time elapsed: 0.157 s
% 15.24/2.83  % (2738866)Peak memory usage: 14 MB
% 15.24/2.83  % (2738866)Instructions burned: 213 (million)
% 15.24/2.83  % (2738858)Instruction limit reached! 
% 15.24/2.83  % (2738858)------------------------------
% 15.24/2.83  % (2738858)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.24/2.83  % (2738858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.24/2.83  % (2738858)CaDiCaL version: 2.1.3
% 15.24/2.83  % (2738858)Termination reason: Instruction limit
% 15.24/2.83  % (2738858)Termination phase: Saturation
% 15.24/2.83  % (2738858)Time elapsed: 0.459 s
% 15.24/2.83  % (2738858)Peak memory usage: 18 MB
% 15.24/2.83  % (2738858)Instructions burned: 1257 (million)
% 15.24/2.83  % (2738862) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2738667-2738862"...
% 15.24/2.83  % (2738869)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=3070447730:st=1.5:i=346:rtra=on:ss=axioms_2977 on theBenchmark for (2977ds/346Mi)
% 15.24/2.83  % (2738868)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=3705940016:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2977 on theBenchmark for (2977ds/130Mi)
% 15.24/2.83  % (2738869)Refutation not found, incomplete strategy
% 15.24/2.83  % (2738869)------------------------------
% 15.24/2.83  % (2738869)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.24/2.83  % (2738869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.24/2.83  % (2738869)CaDiCaL version: 2.1.3
% 15.24/2.83  % (2738869)Termination reason: Refutation not found, incomplete strategy
% 15.24/2.83  % (2738869)Time elapsed: 0.058 s
% 15.24/2.83  % (2738869)Peak memory usage: 14 MB
% 15.24/2.83  % (2738869)Instructions burned: 149 (million)
% 15.24/2.83  % (2738869)------------------------------
% 15.24/2.83  % (2738869)------------------------------
% 15.24/2.83  % (2738868)Refutation not found, incomplete strategy
% 15.24/2.83  % (2738868)------------------------------
% 15.24/2.83  % (2738868)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.24/2.83  % (2738868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.24/2.83  % (2738868)CaDiCaL version: 2.1.3
% 15.24/2.83  % (2738868)Termination reason: Refutation not found, incomplete strategy
% 15.24/2.83  % (2738868)Time elapsed: 0.059 s
% 15.24/2.83  % (2738868)Peak memory usage: 13 MB
% 15.24/2.83  % (2738868)Instructions burned: 77 (million)
% 15.24/2.83  % (2738868)------------------------------
% 15.24/2.83  % (2738868)------------------------------
% 15.24/2.83  % (2738872)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=2810122704:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2976 on theBenchmark for (2976ds/152Mi)
% 15.24/2.83  % (2738873)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2778661020:i=75:ep=R:rtra=on:ntd=on_2976 on theBenchmark for (2976ds/75Mi)
% 15.24/2.83  % (2738872)Instruction limit reached! 
% 15.24/2.83  % (2738872)------------------------------
% 15.24/2.83  % (2738872)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.24/2.83  % (2738872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.24/2.83  % (2738872)CaDiCaL version: 2.1.3
% 15.24/2.83  % (2738872)Termination reason: Instruction limit
% 15.24/2.83  % (2738872)Termination phase: Saturation
% 15.24/2.83  % (2738872)Time elapsed: 0.062 s
% 15.24/2.83  % (2738872)Peak memory usage: 13 MB
% 15.24/2.83  % (2738862)...printing done.
% 15.24/2.83  % (2738872)Instructions burned: 152 (million)
% 15.24/2.83  % (2738862)Refutation found. Thanks to Tanya!
% 15.24/2.83  % SZS status Theorem for theBenchmark
% 15.24/2.83  % SZS output start Proof for theBenchmark
% See solution above
% 15.24/2.85  % (2738862)------------------------------
% 15.24/2.85  % (2738862)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.24/2.85  % (2738862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.24/2.85  % (2738862)CaDiCaL version: 2.1.3
% 15.24/2.85  % (2738862)Termination reason: Refutation
% 15.24/2.85  % (2738862)Time elapsed: 0.518 s
% 15.24/2.85  % (2738862)Peak memory usage: 16 MB
% 15.24/2.85  % (2738862)Instructions burned: 718 (million)
% 15.24/2.85  % (2738667)Success in time 2.43 s
% 15.24/2.85  % Vampire exiting
%------------------------------------------------------------------------------