%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : COL059-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep  6 17:48:15 EDT 2022

% Result   : Unsatisfiable 184.56s 119.00s
% Output   : Proof 184.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :   58
% Syntax   : Number of formulae    :  221 ( 169 unt;   6 typ;   0 def)
%            Number of atoms       :  269 ( 264 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   91 (  41   ~;  34   |;   0   &)
%                                         (  16 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :   13 (   2 avg)
%            Number of FOOLs       :    4 (   4 fml;   0 var)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    2 (   1   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :  140 ( 132   !;   0   ?; 140   :)

% Comments : 
%------------------------------------------------------------------------------
tff(response_type,type,
    response: ( $i * $i ) > $i ).

tff(lark_type,type,
    lark: $i ).

tff(kestrel_type,type,
    kestrel: $i ).

tff(l3_type,type,
    l3: $i ).

tff(x2_type,type,
    x2: $i ).

tff(l2_type,type,
    l2: $i ).

tff(1,plain,
    ^ [X2: $i,X1: $i] :
      refl(
        ( ( response(response(kestrel,X1),X2) = X1 )
      <=> ( response(response(kestrel,X1),X2) = X1 ) )),
    inference(bind,[status(th)],]) ).

tff(2,plain,
    ( ! [X2: $i,X1: $i] : ( response(response(kestrel,X1),X2) = X1 )
  <=> ! [X2: $i,X1: $i] : ( response(response(kestrel,X1),X2) = X1 ) ),
    inference(quant_intro,[status(thm)],[1]) ).

tff(3,plain,
    ( ! [X2: $i,X1: $i] : ( response(response(kestrel,X1),X2) = X1 )
  <=> ! [X2: $i,X1: $i] : ( response(response(kestrel,X1),X2) = X1 ) ),
    inference(rewrite,[status(thm)],]) ).

tff(4,axiom,
    ! [X2: $i,X1: $i] : ( response(response(kestrel,X1),X2) = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kestrel_exists) ).

tff(5,plain,
    ! [X2: $i,X1: $i] : ( response(response(kestrel,X1),X2) = X1 ),
    inference(modus_ponens,[status(thm)],[4,3]) ).

tff(6,plain,
    ! [X2: $i,X1: $i] : ( response(response(kestrel,X1),X2) = X1 ),
    inference(skolemize,[status(sab)],[5]) ).

tff(7,plain,
    ! [X2: $i,X1: $i] : ( response(response(kestrel,X1),X2) = X1 ),
    inference(modus_ponens,[status(thm)],[6,2]) ).

tff(8,plain,
    ( ~ ! [X2: $i,X1: $i] : ( response(response(kestrel,X1),X2) = X1 )
    | ( response(response(kestrel,response(lark,lark)),response(lark,lark)) = response(lark,lark) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(9,plain,
    response(response(kestrel,response(lark,lark)),response(lark,lark)) = response(lark,lark),
    inference(unit_resolution,[status(thm)],[8,7]) ).

tff(10,plain,
    ( ( response(l3,l3) = l3 )
  <=> ( response(response(response(lark,lark),lark),response(response(lark,lark),lark)) = response(response(lark,lark),lark) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(11,plain,
    ( ( response(l3,l3) = l3 )
  <=> ( response(l3,l3) = l3 ) ),
    inference(rewrite,[status(thm)],]) ).

tff(12,axiom,
    response(l3,l3) = l3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l3_not_egocentric) ).

tff(13,plain,
    response(l3,l3) = l3,
    inference(modus_ponens,[status(thm)],[12,11]) ).

tff(14,plain,
    response(response(response(lark,lark),lark),response(response(lark,lark),lark)) = response(response(lark,lark),lark),
    inference(modus_ponens,[status(thm)],[13,10]) ).

tff(15,plain,
    response(response(response(response(lark,lark),lark),response(response(lark,lark),lark)),response(response(lark,lark),lark)) = response(response(response(lark,lark),lark),response(response(lark,lark),lark)),
    inference(monotonicity,[status(thm)],[14]) ).

tff(16,plain,
    ^ [X2: $i,X1: $i] :
      refl(
        ( ( response(response(response(response(lark,lark),lark),X1),X2) = response(response(response(X1,X1),response(X1,X1)),response(x2,x2)) )
      <=> ( response(response(response(response(lark,lark),lark),X1),X2) = response(response(response(X1,X1),response(X1,X1)),response(x2,x2)) ) )),
    inference(bind,[status(th)],]) ).

tff(17,plain,
    ( ! [X2: $i,X1: $i] : ( response(response(response(response(lark,lark),lark),X1),X2) = response(response(response(X1,X1),response(X1,X1)),response(x2,x2)) )
  <=> ! [X2: $i,X1: $i] : ( response(response(response(response(lark,lark),lark),X1),X2) = response(response(response(X1,X1),response(X1,X1)),response(x2,x2)) ) ),
    inference(quant_intro,[status(thm)],[16]) ).

tff(18,plain,
    ( ! [X2: $i,X1: $i] : ( response(response(response(response(lark,lark),lark),X1),X2) = response(response(response(X1,X1),response(X1,X1)),response(x2,x2)) )
  <=> ! [X2: $i,X1: $i] : ( response(response(response(response(lark,lark),lark),X1),X2) = response(response(response(X1,X1),response(X1,X1)),response(x2,x2)) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(19,axiom,
    ! [X2: $i,X1: $i] : ( response(response(response(response(lark,lark),lark),X1),X2) = response(response(response(X1,X1),response(X1,X1)),response(x2,x2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lark_lemma2) ).

tff(20,plain,
    ! [X2: $i,X1: $i] : ( response(response(response(response(lark,lark),lark),X1),X2) = response(response(response(X1,X1),response(X1,X1)),response(x2,x2)) ),
    inference(modus_ponens,[status(thm)],[19,18]) ).

tff(21,plain,
    ! [X2: $i,X1: $i] : ( response(response(response(response(lark,lark),lark),X1),X2) = response(response(response(X1,X1),response(X1,X1)),response(x2,x2)) ),
    inference(skolemize,[status(sab)],[20]) ).

tff(22,plain,
    ! [X2: $i,X1: $i] : ( response(response(response(response(lark,lark),lark),X1),X2) = response(response(response(X1,X1),response(X1,X1)),response(x2,x2)) ),
    inference(modus_ponens,[status(thm)],[21,17]) ).

tff(23,plain,
    ( ~ ! [X2: $i,X1: $i] : ( response(response(response(response(lark,lark),lark),X1),X2) = response(response(response(X1,X1),response(X1,X1)),response(x2,x2)) )
    | ( response(response(response(response(lark,lark),lark),response(response(lark,lark),lark)),response(response(lark,lark),lark)) = response(response(response(response(response(lark,lark),lark),response(response(lark,lark),lark)),response(response(response(lark,lark),lark),response(response(lark,lark),lark))),response(x2,x2)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(24,plain,
    response(response(response(response(lark,lark),lark),response(response(lark,lark),lark)),response(response(lark,lark),lark)) = response(response(response(response(response(lark,lark),lark),response(response(lark,lark),lark)),response(response(response(lark,lark),lark),response(response(lark,lark),lark))),response(x2,x2)),
    inference(unit_resolution,[status(thm)],[23,22]) ).

tff(25,plain,
    response(response(response(response(response(lark,lark),lark),response(response(lark,lark),lark)),response(response(response(lark,lark),lark),response(response(lark,lark),lark))),response(x2,x2)) = response(response(response(response(lark,lark),lark),response(response(lark,lark),lark)),response(response(lark,lark),lark)),
    inference(symmetry,[status(thm)],[24]) ).

tff(26,plain,
    ( ~ ! [X2: $i,X1: $i] : ( response(response(response(response(lark,lark),lark),X1),X2) = response(response(response(X1,X1),response(X1,X1)),response(x2,x2)) )
    | ( response(response(response(response(lark,lark),lark),response(response(lark,lark),lark)),lark) = response(response(response(response(response(lark,lark),lark),response(response(lark,lark),lark)),response(response(response(lark,lark),lark),response(response(lark,lark),lark))),response(x2,x2)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(27,plain,
    response(response(response(response(lark,lark),lark),response(response(lark,lark),lark)),lark) = response(response(response(response(response(lark,lark),lark),response(response(lark,lark),lark)),response(response(response(lark,lark),lark),response(response(lark,lark),lark))),response(x2,x2)),
    inference(unit_resolution,[status(thm)],[26,22]) ).

tff(28,plain,
    response(response(lark,lark),lark) = response(response(response(lark,lark),lark),response(response(lark,lark),lark)),
    inference(symmetry,[status(thm)],[14]) ).

tff(29,plain,
    response(response(response(lark,lark),lark),lark) = response(response(response(response(lark,lark),lark),response(response(lark,lark),lark)),lark),
    inference(monotonicity,[status(thm)],[28]) ).

tff(30,plain,
    ^ [X2: $i,X1: $i] :
      refl(
        ( ( response(response(response(lark,lark),X1),X2) = response(response(X1,X1),response(X2,X2)) )
      <=> ( response(response(response(lark,lark),X1),X2) = response(response(X1,X1),response(X2,X2)) ) )),
    inference(bind,[status(th)],]) ).

tff(31,plain,
    ( ! [X2: $i,X1: $i] : ( response(response(response(lark,lark),X1),X2) = response(response(X1,X1),response(X2,X2)) )
  <=> ! [X2: $i,X1: $i] : ( response(response(response(lark,lark),X1),X2) = response(response(X1,X1),response(X2,X2)) ) ),
    inference(quant_intro,[status(thm)],[30]) ).

tff(32,plain,
    ( ! [X2: $i,X1: $i] : ( response(response(response(lark,lark),X1),X2) = response(response(X1,X1),response(X2,X2)) )
  <=> ! [X2: $i,X1: $i] : ( response(response(response(lark,lark),X1),X2) = response(response(X1,X1),response(X2,X2)) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(33,axiom,
    ! [X2: $i,X1: $i] : ( response(response(response(lark,lark),X1),X2) = response(response(X1,X1),response(X2,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lark_lemma1) ).

tff(34,plain,
    ! [X2: $i,X1: $i] : ( response(response(response(lark,lark),X1),X2) = response(response(X1,X1),response(X2,X2)) ),
    inference(modus_ponens,[status(thm)],[33,32]) ).

tff(35,plain,
    ! [X2: $i,X1: $i] : ( response(response(response(lark,lark),X1),X2) = response(response(X1,X1),response(X2,X2)) ),
    inference(skolemize,[status(sab)],[34]) ).

tff(36,plain,
    ! [X2: $i,X1: $i] : ( response(response(response(lark,lark),X1),X2) = response(response(X1,X1),response(X2,X2)) ),
    inference(modus_ponens,[status(thm)],[35,31]) ).

tff(37,plain,
    ( ~ ! [X2: $i,X1: $i] : ( response(response(response(lark,lark),X1),X2) = response(response(X1,X1),response(X2,X2)) )
    | ( response(response(response(lark,lark),lark),lark) = response(response(lark,lark),response(lark,lark)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(38,plain,
    response(response(response(lark,lark),lark),lark) = response(response(lark,lark),response(lark,lark)),
    inference(unit_resolution,[status(thm)],[37,36]) ).

tff(39,plain,
    response(response(lark,lark),response(lark,lark)) = response(response(response(lark,lark),lark),lark),
    inference(symmetry,[status(thm)],[38]) ).

tff(40,plain,
    ( ~ ! [X2: $i,X1: $i] : ( response(response(kestrel,X1),X2) = X1 )
    | ( response(response(kestrel,response(lark,lark)),response(kestrel,response(lark,lark))) = response(lark,lark) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(41,plain,
    response(response(kestrel,response(lark,lark)),response(kestrel,response(lark,lark))) = response(lark,lark),
    inference(unit_resolution,[status(thm)],[40,7]) ).

tff(42,plain,
    response(response(lark,lark),response(response(kestrel,response(lark,lark)),response(kestrel,response(lark,lark)))) = response(response(lark,lark),response(lark,lark)),
    inference(monotonicity,[status(thm)],[41]) ).

tff(43,plain,
    ( ~ ! [X2: $i,X1: $i] : ( response(response(response(lark,lark),X1),X2) = response(response(X1,X1),response(X2,X2)) )
    | ( response(response(response(lark,lark),lark),response(kestrel,response(lark,lark))) = response(response(lark,lark),response(response(kestrel,response(lark,lark)),response(kestrel,response(lark,lark)))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(44,plain,
    response(response(response(lark,lark),lark),response(kestrel,response(lark,lark))) = response(response(lark,lark),response(response(kestrel,response(lark,lark)),response(kestrel,response(lark,lark)))),
    inference(unit_resolution,[status(thm)],[43,36]) ).

tff(45,plain,
    response(response(response(response(lark,lark),lark),response(response(lark,lark),lark)),response(response(response(lark,lark),lark),response(response(lark,lark),lark))) = response(response(response(lark,lark),lark),response(response(lark,lark),lark)),
    inference(monotonicity,[status(thm)],[14,14]) ).

tff(46,plain,
    response(response(response(lark,lark),lark),response(response(lark,lark),lark)) = response(response(response(response(lark,lark),lark),response(response(lark,lark),lark)),response(response(response(lark,lark),lark),response(response(lark,lark),lark))),
    inference(symmetry,[status(thm)],[45]) ).

tff(47,plain,
    response(response(response(response(lark,lark),lark),response(response(lark,lark),lark)),response(x2,x2)) = response(response(response(response(response(lark,lark),lark),response(response(lark,lark),lark)),response(response(response(lark,lark),lark),response(response(lark,lark),lark))),response(x2,x2)),
    inference(monotonicity,[status(thm)],[46]) ).

tff(48,plain,
    ( ~ ! [X2: $i,X1: $i] : ( response(response(response(lark,lark),X1),X2) = response(response(X1,X1),response(X2,X2)) )
    | ( response(response(response(lark,lark),response(response(lark,lark),lark)),x2) = response(response(response(response(lark,lark),lark),response(response(lark,lark),lark)),response(x2,x2)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(49,plain,
    response(response(response(lark,lark),response(response(lark,lark),lark)),x2) = response(response(response(response(lark,lark),lark),response(response(lark,lark),lark)),response(x2,x2)),
    inference(unit_resolution,[status(thm)],[48,36]) ).

tff(50,plain,
    response(response(lark,lark),response(response(lark,lark),lark)) = response(response(lark,lark),response(response(response(lark,lark),lark),response(response(lark,lark),lark))),
    inference(monotonicity,[status(thm)],[28]) ).

tff(51,plain,
    response(response(lark,lark),response(response(response(lark,lark),lark),response(response(lark,lark),lark))) = response(response(lark,lark),response(response(lark,lark),lark)),
    inference(symmetry,[status(thm)],[50]) ).

tff(52,plain,
    ( ~ ! [X2: $i,X1: $i] : ( response(response(response(lark,lark),X1),X2) = response(response(X1,X1),response(X2,X2)) )
    | ( response(response(response(lark,lark),lark),response(response(lark,lark),lark)) = response(response(lark,lark),response(response(response(lark,lark),lark),response(response(lark,lark),lark))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(53,plain,
    response(response(response(lark,lark),lark),response(response(lark,lark),lark)) = response(response(lark,lark),response(response(response(lark,lark),lark),response(response(lark,lark),lark))),
    inference(unit_resolution,[status(thm)],[52,36]) ).

tff(54,plain,
    response(response(lark,lark),lark) = response(response(response(response(lark,lark),lark),response(response(lark,lark),lark)),response(response(response(lark,lark),lark),response(response(lark,lark),lark))),
    inference(transitivity,[status(thm)],[28,46]) ).

tff(55,plain,
    response(response(response(lark,lark),lark),response(x2,x2)) = response(response(response(response(response(lark,lark),lark),response(response(lark,lark),lark)),response(response(response(lark,lark),lark),response(response(lark,lark),lark))),response(x2,x2)),
    inference(monotonicity,[status(thm)],[54]) ).

tff(56,plain,
    response(response(response(lark,lark),lark),response(x2,x2)) = response(response(response(response(lark,lark),lark),response(response(lark,lark),lark)),response(response(response(lark,lark),lark),response(response(lark,lark),lark))),
    inference(transitivity,[status(thm)],[55,25,15,46]) ).

tff(57,plain,
    response(response(response(response(lark,lark),lark),response(x2,x2)),response(x2,x2)) = response(response(response(response(response(lark,lark),lark),response(response(lark,lark),lark)),response(response(response(lark,lark),lark),response(response(lark,lark),lark))),response(x2,x2)),
    inference(monotonicity,[status(thm)],[56]) ).

tff(58,plain,
    ( ~ ! [X2: $i,X1: $i] : ( response(response(response(response(lark,lark),lark),X1),X2) = response(response(response(X1,X1),response(X1,X1)),response(x2,x2)) )
    | ( response(response(response(response(lark,lark),lark),response(x2,x2)),response(x2,x2)) = response(response(response(response(x2,x2),response(x2,x2)),response(response(x2,x2),response(x2,x2))),response(x2,x2)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(59,plain,
    response(response(response(response(lark,lark),lark),response(x2,x2)),response(x2,x2)) = response(response(response(response(x2,x2),response(x2,x2)),response(response(x2,x2),response(x2,x2))),response(x2,x2)),
    inference(unit_resolution,[status(thm)],[58,22]) ).

tff(60,plain,
    response(response(response(response(x2,x2),response(x2,x2)),response(response(x2,x2),response(x2,x2))),response(x2,x2)) = response(response(response(response(lark,lark),lark),response(x2,x2)),response(x2,x2)),
    inference(symmetry,[status(thm)],[59]) ).

tff(61,plain,
    ( ~ ! [X2: $i,X1: $i] : ( response(response(response(response(lark,lark),lark),X1),X2) = response(response(response(X1,X1),response(X1,X1)),response(x2,x2)) )
    | ( response(response(response(response(lark,lark),lark),response(x2,x2)),response(lark,response(x2,x2))) = response(response(response(response(x2,x2),response(x2,x2)),response(response(x2,x2),response(x2,x2))),response(x2,x2)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(62,plain,
    response(response(response(response(lark,lark),lark),response(x2,x2)),response(lark,response(x2,x2))) = response(response(response(response(x2,x2),response(x2,x2)),response(response(x2,x2),response(x2,x2))),response(x2,x2)),
    inference(unit_resolution,[status(thm)],[61,22]) ).

tff(63,plain,
    response(response(response(response(response(lark,lark),lark),response(response(lark,lark),lark)),response(response(response(lark,lark),lark),response(response(lark,lark),lark))),response(x2,x2)) = response(response(response(lark,lark),lark),response(x2,x2)),
    inference(symmetry,[status(thm)],[55]) ).

tff(64,plain,
    response(response(response(lark,lark),lark),response(response(lark,lark),lark)) = response(response(response(response(lark,lark),lark),response(response(lark,lark),lark)),response(response(lark,lark),lark)),
    inference(symmetry,[status(thm)],[15]) ).

tff(65,plain,
    response(response(lark,lark),lark) = response(response(response(lark,lark),lark),response(x2,x2)),
    inference(transitivity,[status(thm)],[28,64,24,63]) ).

tff(66,plain,
    response(response(response(lark,lark),lark),response(lark,response(x2,x2))) = response(response(response(response(lark,lark),lark),response(x2,x2)),response(lark,response(x2,x2))),
    inference(monotonicity,[status(thm)],[65]) ).

tff(67,plain,
    response(response(lark,lark),response(lark,lark)) = response(response(lark,lark),lark),
    inference(transitivity,[status(thm)],[39,29,27,25,15,14]) ).

tff(68,plain,
    response(response(response(lark,lark),response(lark,lark)),response(lark,response(x2,x2))) = response(response(response(lark,lark),lark),response(lark,response(x2,x2))),
    inference(monotonicity,[status(thm)],[67]) ).

tff(69,plain,
    ( ~ ! [X2: $i,X1: $i] : ( response(response(response(lark,lark),X1),X2) = response(response(X1,X1),response(X2,X2)) )
    | ( response(response(response(lark,lark),response(lark,lark)),response(lark,response(x2,x2))) = response(response(response(lark,lark),response(lark,lark)),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(70,plain,
    response(response(response(lark,lark),response(lark,lark)),response(lark,response(x2,x2))) = response(response(response(lark,lark),response(lark,lark)),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))),
    inference(unit_resolution,[status(thm)],[69,36]) ).

tff(71,plain,
    response(response(response(lark,lark),response(lark,lark)),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))) = response(response(response(lark,lark),response(lark,lark)),response(lark,response(x2,x2))),
    inference(symmetry,[status(thm)],[70]) ).

tff(72,plain,
    ^ [X2: $i,X1: $i] :
      refl(
        ( ( response(response(lark,X1),X2) = response(X1,response(X2,X2)) )
      <=> ( response(response(lark,X1),X2) = response(X1,response(X2,X2)) ) )),
    inference(bind,[status(th)],]) ).

tff(73,plain,
    ( ! [X2: $i,X1: $i] : ( response(response(lark,X1),X2) = response(X1,response(X2,X2)) )
  <=> ! [X2: $i,X1: $i] : ( response(response(lark,X1),X2) = response(X1,response(X2,X2)) ) ),
    inference(quant_intro,[status(thm)],[72]) ).

tff(74,plain,
    ( ! [X2: $i,X1: $i] : ( response(response(lark,X1),X2) = response(X1,response(X2,X2)) )
  <=> ! [X2: $i,X1: $i] : ( response(response(lark,X1),X2) = response(X1,response(X2,X2)) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(75,axiom,
    ! [X2: $i,X1: $i] : ( response(response(lark,X1),X2) = response(X1,response(X2,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lark_exists) ).

tff(76,plain,
    ! [X2: $i,X1: $i] : ( response(response(lark,X1),X2) = response(X1,response(X2,X2)) ),
    inference(modus_ponens,[status(thm)],[75,74]) ).

tff(77,plain,
    ! [X2: $i,X1: $i] : ( response(response(lark,X1),X2) = response(X1,response(X2,X2)) ),
    inference(skolemize,[status(sab)],[76]) ).

tff(78,plain,
    ! [X2: $i,X1: $i] : ( response(response(lark,X1),X2) = response(X1,response(X2,X2)) ),
    inference(modus_ponens,[status(thm)],[77,73]) ).

tff(79,plain,
    ( ~ ! [X2: $i,X1: $i] : ( response(response(lark,X1),X2) = response(X1,response(X2,X2)) )
    | ( response(response(lark,response(x2,x2)),response(lark,response(x2,x2))) = response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(80,plain,
    response(response(lark,response(x2,x2)),response(lark,response(x2,x2))) = response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))),
    inference(unit_resolution,[status(thm)],[79,78]) ).

tff(81,plain,
    response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))) = response(response(lark,response(x2,x2)),response(lark,response(x2,x2))),
    inference(symmetry,[status(thm)],[80]) ).

tff(82,plain,
    response(response(response(response(lark,lark),lark),response(response(lark,lark),lark)),lark) = response(response(response(lark,lark),lark),lark),
    inference(symmetry,[status(thm)],[29]) ).

tff(83,plain,
    response(response(response(response(response(lark,lark),lark),response(response(lark,lark),lark)),response(response(response(lark,lark),lark),response(response(lark,lark),lark))),response(x2,x2)) = response(response(response(response(lark,lark),lark),response(response(lark,lark),lark)),lark),
    inference(symmetry,[status(thm)],[27]) ).

tff(84,plain,
    ( ~ ! [X2: $i,X1: $i] : ( response(response(lark,X1),X2) = response(X1,response(X2,X2)) )
    | ( response(response(lark,lark),lark) = response(lark,response(lark,lark)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(85,plain,
    response(response(lark,lark),lark) = response(lark,response(lark,lark)),
    inference(unit_resolution,[status(thm)],[84,78]) ).

tff(86,plain,
    response(lark,response(lark,lark)) = response(response(lark,lark),lark),
    inference(symmetry,[status(thm)],[85]) ).

tff(87,plain,
    response(lark,response(lark,lark)) = response(response(lark,lark),response(lark,lark)),
    inference(transitivity,[status(thm)],[86,28,64,24,83,82,38]) ).

tff(88,plain,
    response(response(lark,response(lark,lark)),response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))) = response(response(response(lark,lark),response(lark,lark)),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))),
    inference(monotonicity,[status(thm)],[87,81]) ).

tff(89,plain,
    ( ~ ! [X2: $i,X1: $i] : ( response(response(lark,X1),X2) = response(X1,response(X2,X2)) )
    | ( response(response(lark,response(lark,lark)),response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))) = response(response(lark,lark),response(response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))),response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(90,plain,
    response(response(lark,response(lark,lark)),response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))) = response(response(lark,lark),response(response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))),response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))))),
    inference(unit_resolution,[status(thm)],[89,78]) ).

tff(91,plain,
    response(response(lark,lark),response(response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))),response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))))) = response(response(lark,response(lark,lark)),response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))),
    inference(symmetry,[status(thm)],[90]) ).

tff(92,plain,
    ( ~ ! [X2: $i,X1: $i] : ( response(response(response(lark,lark),X1),X2) = response(response(X1,X1),response(X2,X2)) )
    | ( response(response(response(lark,lark),lark),response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))) = response(response(lark,lark),response(response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))),response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(93,plain,
    response(response(response(lark,lark),lark),response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))) = response(response(lark,lark),response(response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))),response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))))),
    inference(unit_resolution,[status(thm)],[92,36]) ).

tff(94,plain,
    response(response(response(lark,lark),lark),response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))) = response(response(lark,lark),response(lark,lark)),
    inference(transitivity,[status(thm)],[93,91,88,71,68,66,62,60,57,83,82,38]) ).

tff(95,plain,
    response(response(response(response(lark,lark),lark),response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))),response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))) = response(response(response(lark,lark),response(lark,lark)),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))),
    inference(monotonicity,[status(thm)],[94,81]) ).

tff(96,plain,
    ( ~ ! [X2: $i,X1: $i] : ( response(response(response(response(lark,lark),lark),X1),X2) = response(response(response(X1,X1),response(X1,X1)),response(x2,x2)) )
    | ( response(response(response(response(lark,lark),lark),response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))),response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))) = response(response(response(response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))),response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))),response(response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))),response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))))),response(x2,x2)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(97,plain,
    response(response(response(response(lark,lark),lark),response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))),response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))) = response(response(response(response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))),response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))),response(response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))),response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))))),response(x2,x2)),
    inference(unit_resolution,[status(thm)],[96,22]) ).

tff(98,plain,
    response(response(response(response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))),response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))),response(response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))),response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))))),response(x2,x2)) = response(response(response(response(lark,lark),lark),response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))),response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))),
    inference(symmetry,[status(thm)],[97]) ).

tff(99,plain,
    ( ~ ! [X2: $i,X1: $i] : ( response(response(response(response(lark,lark),lark),X1),X2) = response(response(response(X1,X1),response(X1,X1)),response(x2,x2)) )
    | ( response(response(response(response(lark,lark),lark),response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))),response(lark,kestrel)) = response(response(response(response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))),response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))),response(response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))),response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))))),response(x2,x2)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(100,plain,
    response(response(response(response(lark,lark),lark),response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))),response(lark,kestrel)) = response(response(response(response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))),response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))),response(response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))),response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))))),response(x2,x2)),
    inference(unit_resolution,[status(thm)],[99,22]) ).

tff(101,plain,
    response(response(lark,lark),response(response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))),response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))))) = response(response(response(lark,lark),lark),response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))),
    inference(symmetry,[status(thm)],[93]) ).

tff(102,plain,
    response(response(response(lark,lark),response(lark,lark)),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))) = response(response(lark,response(lark,lark)),response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))),
    inference(symmetry,[status(thm)],[88]) ).

tff(103,plain,
    response(response(response(lark,lark),lark),response(lark,response(x2,x2))) = response(response(response(lark,lark),response(lark,lark)),response(lark,response(x2,x2))),
    inference(symmetry,[status(thm)],[68]) ).

tff(104,plain,
    response(response(response(response(lark,lark),lark),response(x2,x2)),response(lark,response(x2,x2))) = response(response(response(lark,lark),lark),response(lark,response(x2,x2))),
    inference(symmetry,[status(thm)],[66]) ).

tff(105,plain,
    response(response(response(response(x2,x2),response(x2,x2)),response(response(x2,x2),response(x2,x2))),response(x2,x2)) = response(response(response(response(lark,lark),lark),response(x2,x2)),response(lark,response(x2,x2))),
    inference(symmetry,[status(thm)],[62]) ).

tff(106,plain,
    response(response(response(response(response(lark,lark),lark),response(response(lark,lark),lark)),response(response(response(lark,lark),lark),response(response(lark,lark),lark))),response(x2,x2)) = response(response(response(response(lark,lark),lark),response(x2,x2)),response(x2,x2)),
    inference(symmetry,[status(thm)],[57]) ).

tff(107,plain,
    response(response(lark,lark),lark) = response(response(response(lark,lark),lark),response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))),
    inference(transitivity,[status(thm)],[28,64,24,106,59,105,104,103,70,102,90,101]) ).

tff(108,plain,
    response(response(response(lark,lark),lark),response(lark,kestrel)) = response(response(response(response(lark,lark),lark),response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))),response(lark,kestrel)),
    inference(monotonicity,[status(thm)],[107]) ).

tff(109,plain,
    ( ~ ! [X2: $i,X1: $i] : ( response(response(response(lark,lark),X1),X2) = response(response(X1,X1),response(X2,X2)) )
    | ( response(response(response(lark,lark),lark),response(lark,kestrel)) = response(response(lark,lark),response(response(lark,kestrel),response(lark,kestrel))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(110,plain,
    response(response(response(lark,lark),lark),response(lark,kestrel)) = response(response(lark,lark),response(response(lark,kestrel),response(lark,kestrel))),
    inference(unit_resolution,[status(thm)],[109,36]) ).

tff(111,plain,
    response(response(lark,lark),response(response(lark,kestrel),response(lark,kestrel))) = response(response(response(lark,lark),lark),response(lark,kestrel)),
    inference(symmetry,[status(thm)],[110]) ).

tff(112,plain,
    response(response(lark,lark),response(response(lark,kestrel),response(lark,kestrel))) = response(response(lark,lark),response(response(lark,lark),lark)),
    inference(transitivity,[status(thm)],[111,108,100,98,95,71,68,66,62,60,57,25,15,53,51]) ).

tff(113,plain,
    response(response(response(lark,lark),response(response(lark,kestrel),response(lark,kestrel))),x2) = response(response(response(lark,lark),response(response(lark,lark),lark)),x2),
    inference(monotonicity,[status(thm)],[112]) ).

tff(114,plain,
    ( ~ ! [X2: $i,X1: $i] : ( response(response(response(lark,lark),X1),X2) = response(response(X1,X1),response(X2,X2)) )
    | ( response(response(response(lark,lark),response(response(lark,kestrel),response(lark,kestrel))),x2) = response(response(response(response(lark,kestrel),response(lark,kestrel)),response(response(lark,kestrel),response(lark,kestrel))),response(x2,x2)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(115,plain,
    response(response(response(lark,lark),response(response(lark,kestrel),response(lark,kestrel))),x2) = response(response(response(response(lark,kestrel),response(lark,kestrel)),response(response(lark,kestrel),response(lark,kestrel))),response(x2,x2)),
    inference(unit_resolution,[status(thm)],[114,36]) ).

tff(116,plain,
    response(response(response(response(lark,kestrel),response(lark,kestrel)),response(response(lark,kestrel),response(lark,kestrel))),response(x2,x2)) = response(response(response(lark,lark),response(response(lark,kestrel),response(lark,kestrel))),x2),
    inference(symmetry,[status(thm)],[115]) ).

tff(117,plain,
    ( ~ ! [X2: $i,X1: $i] : ( response(response(response(response(lark,lark),lark),X1),X2) = response(response(response(X1,X1),response(X1,X1)),response(x2,x2)) )
    | ( response(response(response(response(lark,lark),lark),response(lark,kestrel)),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2))))))) = response(response(response(response(lark,kestrel),response(lark,kestrel)),response(response(lark,kestrel),response(lark,kestrel))),response(x2,x2)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(118,plain,
    response(response(response(response(lark,lark),lark),response(lark,kestrel)),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2))))))) = response(response(response(response(lark,kestrel),response(lark,kestrel)),response(response(lark,kestrel),response(lark,kestrel))),response(x2,x2)),
    inference(unit_resolution,[status(thm)],[117,22]) ).

tff(119,plain,
    response(response(response(response(lark,lark),lark),response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))),response(lark,kestrel)) = response(response(response(lark,lark),lark),response(lark,kestrel)),
    inference(symmetry,[status(thm)],[108]) ).

tff(120,plain,
    response(response(response(response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))),response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))),response(response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))),response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))))),response(x2,x2)) = response(response(response(response(lark,lark),lark),response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))),response(lark,kestrel)),
    inference(symmetry,[status(thm)],[100]) ).

tff(121,plain,
    response(response(response(lark,lark),response(lark,lark)),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))) = response(response(response(response(lark,lark),lark),response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))),response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))),
    inference(symmetry,[status(thm)],[95]) ).

tff(122,plain,
    response(response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))),response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))) = response(response(response(lark,response(x2,x2)),response(lark,response(x2,x2))),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))),
    inference(monotonicity,[status(thm)],[81,81]) ).

tff(123,plain,
    response(response(response(lark,response(x2,x2)),response(lark,response(x2,x2))),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))) = response(response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))),response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))),
    inference(symmetry,[status(thm)],[122]) ).

tff(124,plain,
    response(response(lark,lark),response(response(response(lark,response(x2,x2)),response(lark,response(x2,x2))),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))) = response(response(lark,lark),response(response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))),response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))))),
    inference(monotonicity,[status(thm)],[123]) ).

tff(125,plain,
    response(response(lark,lark),response(response(response(lark,response(x2,x2)),response(lark,response(x2,x2))),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))) = response(response(response(lark,lark),lark),response(lark,kestrel)),
    inference(transitivity,[status(thm)],[124,91,88,121,97,120,119]) ).

tff(126,plain,
    response(response(response(lark,lark),response(response(response(lark,response(x2,x2)),response(lark,response(x2,x2))),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2))))))) = response(response(response(response(lark,lark),lark),response(lark,kestrel)),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2))))))),
    inference(monotonicity,[status(thm)],[125]) ).

tff(127,plain,
    ( ~ ! [X2: $i,X1: $i] : ( response(response(response(lark,lark),X1),X2) = response(response(X1,X1),response(X2,X2)) )
    | ( response(response(response(lark,lark),response(response(response(lark,response(x2,x2)),response(lark,response(x2,x2))),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2))))))) = response(response(response(response(response(lark,response(x2,x2)),response(lark,response(x2,x2))),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))),response(response(response(lark,response(x2,x2)),response(lark,response(x2,x2))),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(128,plain,
    response(response(response(lark,lark),response(response(response(lark,response(x2,x2)),response(lark,response(x2,x2))),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2))))))) = response(response(response(response(response(lark,response(x2,x2)),response(lark,response(x2,x2))),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))),response(response(response(lark,response(x2,x2)),response(lark,response(x2,x2))),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))))),
    inference(unit_resolution,[status(thm)],[127,36]) ).

tff(129,plain,
    response(response(response(response(response(lark,response(x2,x2)),response(lark,response(x2,x2))),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))),response(response(response(lark,response(x2,x2)),response(lark,response(x2,x2))),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))))) = response(response(response(lark,lark),response(response(response(lark,response(x2,x2)),response(lark,response(x2,x2))),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2))))))),
    inference(symmetry,[status(thm)],[128]) ).

tff(130,plain,
    ( ~ ! [X2: $i,X1: $i] : ( response(response(lark,X1),X2) = response(X1,response(X2,X2)) )
    | ( response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2))))))) = response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(131,plain,
    response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2))))))) = response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))))),
    inference(unit_resolution,[status(thm)],[130,78]) ).

tff(132,plain,
    response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))))) = response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2))))))),
    inference(symmetry,[status(thm)],[131]) ).

tff(133,plain,
    response(response(response(response(lark,response(x2,x2)),response(lark,response(x2,x2))),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))),response(response(response(lark,response(x2,x2)),response(lark,response(x2,x2))),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))) = response(response(response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))),response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))),response(response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))),response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))))),
    inference(monotonicity,[status(thm)],[123,123]) ).

tff(134,plain,
    response(response(response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))),response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))),response(response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))),response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))))) = response(response(response(response(lark,response(x2,x2)),response(lark,response(x2,x2))),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))),response(response(response(lark,response(x2,x2)),response(lark,response(x2,x2))),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))),
    inference(symmetry,[status(thm)],[133]) ).

tff(135,plain,
    response(response(response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))),response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))),response(response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))),response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))))) = response(response(response(response(lark,response(x2,x2)),response(lark,response(x2,x2))),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))),response(response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))),response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))))),
    inference(monotonicity,[status(thm)],[122]) ).

tff(136,plain,
    response(response(response(response(lark,response(x2,x2)),response(lark,response(x2,x2))),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))),response(response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))),response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))))) = response(response(response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))),response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))),response(response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))),response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))))),
    inference(symmetry,[status(thm)],[135]) ).

tff(137,plain,
    ( ~ ! [X2: $i,X1: $i] : ( response(response(lark,X1),X2) = response(X1,response(X2,X2)) )
    | ( response(response(lark,response(response(response(lark,response(x2,x2)),response(lark,response(x2,x2))),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))),response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))) = response(response(response(response(lark,response(x2,x2)),response(lark,response(x2,x2))),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))),response(response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))),response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(138,plain,
    response(response(lark,response(response(response(lark,response(x2,x2)),response(lark,response(x2,x2))),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))),response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))) = response(response(response(response(lark,response(x2,x2)),response(lark,response(x2,x2))),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))),response(response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))),response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))))),
    inference(unit_resolution,[status(thm)],[137,78]) ).

tff(139,plain,
    ( ~ ! [X2: $i,X1: $i] : ( response(response(response(lark,lark),X1),X2) = response(response(X1,X1),response(X2,X2)) )
    | ( response(response(response(lark,lark),lark),response(lark,response(x2,x2))) = response(response(lark,lark),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(140,plain,
    response(response(response(lark,lark),lark),response(lark,response(x2,x2))) = response(response(lark,lark),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))),
    inference(unit_resolution,[status(thm)],[139,36]) ).

tff(141,plain,
    response(response(lark,lark),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))) = response(response(response(lark,lark),lark),response(lark,response(x2,x2))),
    inference(symmetry,[status(thm)],[140]) ).

tff(142,plain,
    ( ~ ! [X2: $i,X1: $i] : ( response(response(lark,X1),X2) = response(X1,response(X2,X2)) )
    | ( response(response(lark,lark),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))) = response(lark,response(response(response(lark,response(x2,x2)),response(lark,response(x2,x2))),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(143,plain,
    response(response(lark,lark),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))) = response(lark,response(response(response(lark,response(x2,x2)),response(lark,response(x2,x2))),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))),
    inference(unit_resolution,[status(thm)],[142,78]) ).

tff(144,plain,
    response(lark,response(response(response(lark,response(x2,x2)),response(lark,response(x2,x2))),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))) = response(response(lark,lark),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))),
    inference(symmetry,[status(thm)],[143]) ).

tff(145,plain,
    response(lark,response(response(response(lark,response(x2,x2)),response(lark,response(x2,x2))),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))) = response(response(lark,lark),response(lark,lark)),
    inference(transitivity,[status(thm)],[144,141,66,62,60,57,83,82,38]) ).

tff(146,plain,
    response(response(lark,response(response(response(lark,response(x2,x2)),response(lark,response(x2,x2))),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))),response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))) = response(response(response(lark,lark),response(lark,lark)),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))),
    inference(monotonicity,[status(thm)],[145,81]) ).

tff(147,plain,
    response(response(response(lark,lark),response(lark,lark)),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))) = response(response(lark,response(response(response(lark,response(x2,x2)),response(lark,response(x2,x2))),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))),response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))),
    inference(symmetry,[status(thm)],[146]) ).

tff(148,plain,
    response(response(lark,lark),lark) = response(response(response(lark,lark),lark),response(lark,kestrel)),
    inference(transitivity,[status(thm)],[28,64,24,106,59,105,104,103,70,121,97,120,119]) ).

tff(149,plain,
    response(response(response(lark,lark),lark),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2))))))) = response(response(response(response(lark,lark),lark),response(lark,kestrel)),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2))))))),
    inference(monotonicity,[status(thm)],[148]) ).

tff(150,plain,
    ( ~ ! [X2: $i,X1: $i] : ( response(response(response(lark,lark),X1),X2) = response(response(X1,X1),response(X2,X2)) )
    | ( response(response(response(lark,lark),lark),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2))))))) = response(response(lark,lark),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(151,plain,
    response(response(response(lark,lark),lark),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2))))))) = response(response(lark,lark),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))))),
    inference(unit_resolution,[status(thm)],[150,36]) ).

tff(152,plain,
    response(response(lark,lark),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))))) = response(response(response(lark,lark),lark),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2))))))),
    inference(symmetry,[status(thm)],[151]) ).

tff(153,plain,
    response(response(lark,lark),response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2))))))))) = response(response(lark,lark),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))))),
    inference(monotonicity,[status(thm)],[132]) ).

tff(154,plain,
    response(response(lark,lark),response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2))))))))) = response(response(response(response(lark,response(x2,x2)),response(lark,response(x2,x2))),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))),response(response(response(lark,response(x2,x2)),response(lark,response(x2,x2))),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))),
    inference(transitivity,[status(thm)],[153,152,149,118,116,113,49,47,106,59,105,104,103,70,147,138,136,134]) ).

tff(155,plain,
    response(response(response(lark,lark),response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2))))))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2))))))))) = response(response(response(response(response(lark,response(x2,x2)),response(lark,response(x2,x2))),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))),response(response(response(lark,response(x2,x2)),response(lark,response(x2,x2))),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))))),
    inference(monotonicity,[status(thm)],[154,132]) ).

tff(156,plain,
    ( ~ ! [X2: $i,X1: $i] : ( response(response(response(lark,lark),X1),X2) = response(response(X1,X1),response(X2,X2)) )
    | ( response(response(response(lark,lark),response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2))))))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2))))))))) = response(response(response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2))))))))),response(response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(157,plain,
    response(response(response(lark,lark),response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2))))))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2))))))))) = response(response(response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2))))))))),response(response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))))))),
    inference(unit_resolution,[status(thm)],[156,36]) ).

tff(158,plain,
    response(response(response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2))))))))),response(response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))))))) = response(response(response(lark,lark),response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2))))))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2))))))))),
    inference(symmetry,[status(thm)],[157]) ).

tff(159,plain,
    response(response(response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2))))))))),response(response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))))))) = response(response(lark,lark),lark),
    inference(transitivity,[status(thm)],[158,155,129,126,118,116,113,49,47,25,15,14]) ).

tff(160,plain,
    response(response(response(response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2))))))))),response(response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))))))),response(response(response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2))))))))),response(response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2))))))))))) = response(response(response(lark,lark),lark),response(response(lark,lark),lark)),
    inference(monotonicity,[status(thm)],[159,159]) ).

tff(161,plain,
    response(response(response(response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2))))))))),response(response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))))))),response(response(response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2))))))))),response(response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2))))))))))) = response(response(response(response(lark,lark),lark),response(response(lark,lark),lark)),response(response(response(lark,lark),lark),response(response(lark,lark),lark))),
    inference(transitivity,[status(thm)],[160,46]) ).

tff(162,plain,
    response(response(response(response(response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2))))))))),response(response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))))))),response(response(response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2))))))))),response(response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2))))))))))),response(x2,x2)) = response(response(response(response(response(lark,lark),lark),response(response(lark,lark),lark)),response(response(response(lark,lark),lark),response(response(lark,lark),lark))),response(x2,x2)),
    inference(monotonicity,[status(thm)],[161]) ).

tff(163,plain,
    ( ~ ! [X2: $i,X1: $i] : ( response(response(response(response(lark,lark),lark),X1),X2) = response(response(response(X1,X1),response(X1,X1)),response(x2,x2)) )
    | ( response(response(response(response(lark,lark),lark),response(response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))))))),kestrel) = response(response(response(response(response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2))))))))),response(response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))))))),response(response(response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2))))))))),response(response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2))))))))))),response(x2,x2)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(164,plain,
    response(response(response(response(lark,lark),lark),response(response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))))))),kestrel) = response(response(response(response(response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2))))))))),response(response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))))))),response(response(response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2))))))))),response(response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2))))))))))),response(x2,x2)),
    inference(unit_resolution,[status(thm)],[163,22]) ).

tff(165,plain,
    ( ~ ! [X2: $i,X1: $i] : ( response(response(lark,X1),X2) = response(X1,response(X2,X2)) )
    | ( response(response(lark,response(response(lark,lark),lark)),response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2))))))))) = response(response(response(lark,lark),lark),response(response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(166,plain,
    response(response(lark,response(response(lark,lark),lark)),response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2))))))))) = response(response(response(lark,lark),lark),response(response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))))))),
    inference(unit_resolution,[status(thm)],[165,78]) ).

tff(167,plain,
    response(response(lark,lark),response(response(response(lark,lark),lark),response(response(lark,lark),lark))) = response(response(response(lark,lark),lark),response(response(lark,lark),lark)),
    inference(symmetry,[status(thm)],[53]) ).

tff(168,plain,
    ( ~ ! [X2: $i,X1: $i] : ( response(response(lark,X1),X2) = response(X1,response(X2,X2)) )
    | ( response(response(lark,lark),response(response(lark,lark),lark)) = response(lark,response(response(response(lark,lark),lark),response(response(lark,lark),lark))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(169,plain,
    response(response(lark,lark),response(response(lark,lark),lark)) = response(lark,response(response(response(lark,lark),lark),response(response(lark,lark),lark))),
    inference(unit_resolution,[status(thm)],[168,78]) ).

tff(170,plain,
    response(lark,response(response(response(lark,lark),lark),response(response(lark,lark),lark))) = response(response(lark,lark),response(response(lark,lark),lark)),
    inference(symmetry,[status(thm)],[169]) ).

tff(171,plain,
    response(lark,response(response(lark,lark),lark)) = response(lark,response(response(response(lark,lark),lark),response(response(lark,lark),lark))),
    inference(monotonicity,[status(thm)],[28]) ).

tff(172,plain,
    response(lark,response(response(lark,lark),lark)) = response(response(response(response(lark,response(x2,x2)),response(lark,response(x2,x2))),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))),response(response(response(lark,response(x2,x2)),response(lark,response(x2,x2))),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))),
    inference(transitivity,[status(thm)],[171,170,50,167,64,24,106,59,105,104,103,70,147,138,136,134]) ).

tff(173,plain,
    response(response(lark,response(response(lark,lark),lark)),response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2))))))))) = response(response(response(response(response(lark,response(x2,x2)),response(lark,response(x2,x2))),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))),response(response(response(lark,response(x2,x2)),response(lark,response(x2,x2))),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))))),
    inference(monotonicity,[status(thm)],[172,132]) ).

tff(174,plain,
    response(response(response(response(response(lark,response(x2,x2)),response(lark,response(x2,x2))),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))),response(response(response(lark,response(x2,x2)),response(lark,response(x2,x2))),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))))) = response(response(lark,response(response(lark,lark),lark)),response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2))))))))),
    inference(symmetry,[status(thm)],[173]) ).

tff(175,plain,
    response(response(response(response(lark,lark),lark),response(lark,kestrel)),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2))))))) = response(response(response(lark,lark),response(response(response(lark,response(x2,x2)),response(lark,response(x2,x2))),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2))))))),
    inference(symmetry,[status(thm)],[126]) ).

tff(176,plain,
    response(response(response(response(lark,kestrel),response(lark,kestrel)),response(response(lark,kestrel),response(lark,kestrel))),response(x2,x2)) = response(response(response(response(lark,lark),lark),response(lark,kestrel)),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2))))))),
    inference(symmetry,[status(thm)],[118]) ).

tff(177,plain,
    response(response(response(lark,lark),response(response(lark,lark),lark)),x2) = response(response(response(lark,lark),response(response(lark,kestrel),response(lark,kestrel))),x2),
    inference(symmetry,[status(thm)],[113]) ).

tff(178,plain,
    response(response(response(response(lark,lark),lark),response(response(lark,lark),lark)),response(x2,x2)) = response(response(response(lark,lark),response(response(lark,lark),lark)),x2),
    inference(symmetry,[status(thm)],[49]) ).

tff(179,plain,
    response(response(response(response(response(lark,lark),lark),response(response(lark,lark),lark)),response(response(response(lark,lark),lark),response(response(lark,lark),lark))),response(x2,x2)) = response(response(response(response(lark,lark),lark),response(response(lark,lark),lark)),response(x2,x2)),
    inference(symmetry,[status(thm)],[47]) ).

tff(180,plain,
    response(response(lark,lark),lark) = response(response(response(lark,lark),lark),response(response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))))))),
    inference(transitivity,[status(thm)],[28,64,24,179,178,177,115,176,175,128,174,166]) ).

tff(181,plain,
    response(response(response(lark,lark),lark),kestrel) = response(response(response(response(lark,lark),lark),response(response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,x2))))),response(response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))),response(lark,response(lark,response(lark,response(lark,response(lark,response(lark,x2)))))))))),kestrel),
    inference(monotonicity,[status(thm)],[180]) ).

tff(182,plain,
    ( ~ ! [X2: $i,X1: $i] : ( response(response(response(lark,lark),X1),X2) = response(response(X1,X1),response(X2,X2)) )
    | ( response(response(response(lark,lark),lark),kestrel) = response(response(lark,lark),response(kestrel,kestrel)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(183,plain,
    response(response(response(lark,lark),lark),kestrel) = response(response(lark,lark),response(kestrel,kestrel)),
    inference(unit_resolution,[status(thm)],[182,36]) ).

tff(184,plain,
    response(response(lark,lark),response(kestrel,kestrel)) = response(response(response(lark,lark),lark),kestrel),
    inference(symmetry,[status(thm)],[183]) ).

tff(185,plain,
    ( ~ ! [X2: $i,X1: $i] : ( response(response(kestrel,X1),X2) = X1 )
    | ( response(response(kestrel,kestrel),response(kestrel,kestrel)) = kestrel ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(186,plain,
    response(response(kestrel,kestrel),response(kestrel,kestrel)) = kestrel,
    inference(unit_resolution,[status(thm)],[185,7]) ).

tff(187,plain,
    kestrel = response(response(kestrel,kestrel),response(kestrel,kestrel)),
    inference(symmetry,[status(thm)],[186]) ).

tff(188,plain,
    response(kestrel,kestrel) = response(kestrel,response(response(kestrel,kestrel),response(kestrel,kestrel))),
    inference(monotonicity,[status(thm)],[187]) ).

tff(189,plain,
    response(kestrel,response(response(kestrel,kestrel),response(kestrel,kestrel))) = response(kestrel,kestrel),
    inference(symmetry,[status(thm)],[188]) ).

tff(190,plain,
    response(response(lark,lark),response(kestrel,response(response(kestrel,kestrel),response(kestrel,kestrel)))) = response(response(lark,lark),response(kestrel,kestrel)),
    inference(monotonicity,[status(thm)],[189]) ).

tff(191,plain,
    response(response(lark,lark),response(kestrel,response(response(kestrel,kestrel),response(kestrel,kestrel)))) = response(response(lark,lark),lark),
    inference(transitivity,[status(thm)],[190,184,181,164,162,25,15,14]) ).

tff(192,plain,
    response(response(response(lark,lark),response(kestrel,response(response(kestrel,kestrel),response(kestrel,kestrel)))),response(kestrel,response(lark,lark))) = response(response(response(lark,lark),lark),response(kestrel,response(lark,lark))),
    inference(monotonicity,[status(thm)],[191]) ).

tff(193,plain,
    ( ~ ! [X2: $i,X1: $i] : ( response(response(response(lark,lark),X1),X2) = response(response(X1,X1),response(X2,X2)) )
    | ( response(response(response(lark,lark),response(kestrel,response(response(kestrel,kestrel),response(kestrel,kestrel)))),response(kestrel,response(lark,lark))) = response(response(response(kestrel,response(response(kestrel,kestrel),response(kestrel,kestrel))),response(kestrel,response(response(kestrel,kestrel),response(kestrel,kestrel)))),response(response(kestrel,response(lark,lark)),response(kestrel,response(lark,lark)))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(194,plain,
    response(response(response(lark,lark),response(kestrel,response(response(kestrel,kestrel),response(kestrel,kestrel)))),response(kestrel,response(lark,lark))) = response(response(response(kestrel,response(response(kestrel,kestrel),response(kestrel,kestrel))),response(kestrel,response(response(kestrel,kestrel),response(kestrel,kestrel)))),response(response(kestrel,response(lark,lark)),response(kestrel,response(lark,lark)))),
    inference(unit_resolution,[status(thm)],[193,36]) ).

tff(195,plain,
    response(response(response(kestrel,response(response(kestrel,kestrel),response(kestrel,kestrel))),response(kestrel,response(response(kestrel,kestrel),response(kestrel,kestrel)))),response(response(kestrel,response(lark,lark)),response(kestrel,response(lark,lark)))) = response(response(response(lark,lark),response(kestrel,response(response(kestrel,kestrel),response(kestrel,kestrel)))),response(kestrel,response(lark,lark))),
    inference(symmetry,[status(thm)],[194]) ).

tff(196,plain,
    response(lark,lark) = response(response(kestrel,response(lark,lark)),response(kestrel,response(lark,lark))),
    inference(symmetry,[status(thm)],[41]) ).

tff(197,plain,
    response(response(kestrel,response(response(kestrel,kestrel),response(kestrel,kestrel))),response(kestrel,response(response(kestrel,kestrel),response(kestrel,kestrel)))) = response(response(kestrel,kestrel),response(kestrel,kestrel)),
    inference(monotonicity,[status(thm)],[189,189]) ).

tff(198,plain,
    response(response(kestrel,kestrel),response(kestrel,kestrel)) = response(response(kestrel,response(response(kestrel,kestrel),response(kestrel,kestrel))),response(kestrel,response(response(kestrel,kestrel),response(kestrel,kestrel)))),
    inference(symmetry,[status(thm)],[197]) ).

tff(199,plain,
    kestrel = response(response(kestrel,response(response(kestrel,kestrel),response(kestrel,kestrel))),response(kestrel,response(response(kestrel,kestrel),response(kestrel,kestrel)))),
    inference(transitivity,[status(thm)],[187,198]) ).

tff(200,plain,
    response(kestrel,response(lark,lark)) = response(response(response(kestrel,response(response(kestrel,kestrel),response(kestrel,kestrel))),response(kestrel,response(response(kestrel,kestrel),response(kestrel,kestrel)))),response(response(kestrel,response(lark,lark)),response(kestrel,response(lark,lark)))),
    inference(monotonicity,[status(thm)],[199,196]) ).

tff(201,plain,
    response(kestrel,response(lark,lark)) = response(response(response(lark,lark),lark),response(response(lark,lark),lark)),
    inference(transitivity,[status(thm)],[200,195,192,44,42,39,29,27,25,15]) ).

tff(202,plain,
    response(response(kestrel,response(lark,lark)),response(lark,lark)) = response(response(response(response(lark,lark),lark),response(response(lark,lark),lark)),response(lark,lark)),
    inference(monotonicity,[status(thm)],[201]) ).

tff(203,plain,
    response(response(response(response(lark,lark),lark),response(response(lark,lark),lark)),response(lark,lark)) = response(response(kestrel,response(lark,lark)),response(lark,lark)),
    inference(symmetry,[status(thm)],[202]) ).

tff(204,plain,
    ( ~ ! [X2: $i,X1: $i] : ( response(response(response(lark,lark),X1),X2) = response(response(X1,X1),response(X2,X2)) )
    | ( response(response(response(lark,lark),response(response(lark,lark),lark)),lark) = response(response(response(response(lark,lark),lark),response(response(lark,lark),lark)),response(lark,lark)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(205,plain,
    response(response(response(lark,lark),response(response(lark,lark),lark)),lark) = response(response(response(response(lark,lark),lark),response(response(lark,lark),lark)),response(lark,lark)),
    inference(unit_resolution,[status(thm)],[204,36]) ).

tff(206,plain,
    response(response(lark,lark),response(response(lark,lark),lark)) = response(response(lark,lark),lark),
    inference(transitivity,[status(thm)],[50,167,14]) ).

tff(207,plain,
    response(response(response(lark,lark),response(response(lark,lark),lark)),lark) = response(response(response(lark,lark),lark),lark),
    inference(monotonicity,[status(thm)],[206]) ).

tff(208,plain,
    response(response(response(lark,lark),lark),lark) = response(response(response(lark,lark),response(response(lark,lark),lark)),lark),
    inference(symmetry,[status(thm)],[207]) ).

tff(209,plain,
    response(response(lark,lark),response(lark,lark)) = response(lark,lark),
    inference(transitivity,[status(thm)],[39,208,205,203,9]) ).

tff(210,plain,
    ( ( response(l2,l2) != l2 )
  <=> ( response(response(lark,lark),response(lark,lark)) != response(lark,lark) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(211,plain,
    ( ( response(l2,l2) != l2 )
  <=> ( response(l2,l2) != l2 ) ),
    inference(rewrite,[status(thm)],]) ).

tff(212,axiom,
    response(l2,l2) != l2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lark_not_egocentric) ).

tff(213,plain,
    response(l2,l2) != l2,
    inference(modus_ponens,[status(thm)],[212,211]) ).

tff(214,plain,
    response(response(lark,lark),response(lark,lark)) != response(lark,lark),
    inference(modus_ponens,[status(thm)],[213,210]) ).

tff(215,plain,
    $false,
    inference(unit_resolution,[status(thm)],[214,209]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : COL059-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33  % Computer : n015.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Tue Aug 30 10:55:06 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.33  Usage: tptp [options] [-file:]file
% 0.12/0.33    -h, -?       prints this message.
% 0.12/0.33    -smt2        print SMT-LIB2 benchmark.
% 0.12/0.33    -m, -model   generate model.
% 0.12/0.33    -p, -proof   generate proof.
% 0.12/0.33    -c, -core    generate unsat core of named formulas.
% 0.12/0.33    -st, -statistics display statistics.
% 0.12/0.33    -t:timeout   set timeout (in second).
% 0.12/0.33    -smt2status  display status in smt2 format instead of SZS.
% 0.12/0.33    -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.33    -<param>:<value> configuration parameter and value.
% 0.12/0.33    -o:<output-file> file to place output in.
% 184.56/119.00  % SZS status Unsatisfiable
% 184.56/119.00  % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------