%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : COL059-1 : TPTP v9.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n010.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 : Sat Jun 21 05:00:40 AM UTC 2025
% Result : Unsatisfiable 0.69s 0.84s
% Output : Proof 0.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 44
% Syntax : Number of formulae : 182 ( 146 unt; 0 typ; 0 def)
% Number of atoms : 226 ( 221 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 68 ( 28 ~; 24 |; 0 &)
% ( 16 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of FOOLs : 4 ( 4 fml; 0 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 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 : 120 ( 112 !; 0 ?; 120 :)
% Comments :
%------------------------------------------------------------------------------
tff(l2_type,type,
l2: $i ).
tff(response_type,type,
response: ( $i * $i ) > $i ).
tff(l3_type,type,
l3: $i ).
tff(kestrel_type,type,
kestrel: $i ).
tff(lark_type,type,
lark: $i ).
tff(x2_type,type,
x2: $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,l2),l3) = l2 ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(9,plain,
response(response(kestrel,l2),l3) = l2,
inference(unit_resolution,[status(thm)],[8,7]) ).
tff(10,plain,
( ( response(l3,l3) = l3 )
<=> ( response(l3,l3) = l3 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(11,axiom,
response(l3,l3) = l3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l3_not_egocentric) ).
tff(12,plain,
response(l3,l3) = l3,
inference(modus_ponens,[status(thm)],[11,10]) ).
tff(13,plain,
( ( response(l2,lark) = l3 )
<=> ( response(l2,lark) = l3 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(14,axiom,
response(l2,lark) = l3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l3_definition) ).
tff(15,plain,
response(l2,lark) = l3,
inference(modus_ponens,[status(thm)],[14,13]) ).
tff(16,plain,
( ( response(lark,lark) = l2 )
<=> ( response(lark,lark) = l2 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(17,axiom,
response(lark,lark) = l2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l2_definition) ).
tff(18,plain,
response(lark,lark) = l2,
inference(modus_ponens,[status(thm)],[17,16]) ).
tff(19,plain,
response(response(lark,lark),lark) = response(l2,lark),
inference(monotonicity,[status(thm)],[18]) ).
tff(20,plain,
response(response(lark,lark),lark) = l3,
inference(transitivity,[status(thm)],[19,15]) ).
tff(21,plain,
response(response(response(lark,lark),lark),l3) = response(l3,l3),
inference(monotonicity,[status(thm)],[20]) ).
tff(22,plain,
response(response(response(lark,lark),lark),l3) = l3,
inference(transitivity,[status(thm)],[21,12]) ).
tff(23,plain,
response(response(response(response(lark,lark),lark),l3),l3) = response(l3,l3),
inference(monotonicity,[status(thm)],[22]) ).
tff(24,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(25,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)],[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)) )
<=> ! [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(27,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(28,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)],[27,26]) ).
tff(29,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)],[28]) ).
tff(30,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)],[29,25]) ).
tff(31,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),l3),l3) = response(response(response(l3,l3),response(l3,l3)),response(x2,x2)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(32,plain,
response(response(response(response(lark,lark),lark),l3),l3) = response(response(response(l3,l3),response(l3,l3)),response(x2,x2)),
inference(unit_resolution,[status(thm)],[31,30]) ).
tff(33,plain,
response(response(response(l3,l3),response(l3,l3)),response(x2,x2)) = response(response(response(response(lark,lark),lark),l3),l3),
inference(symmetry,[status(thm)],[32]) ).
tff(34,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),l3),lark) = response(response(response(l3,l3),response(l3,l3)),response(x2,x2)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(35,plain,
response(response(response(response(lark,lark),lark),l3),lark) = response(response(response(l3,l3),response(l3,l3)),response(x2,x2)),
inference(unit_resolution,[status(thm)],[34,30]) ).
tff(36,plain,
response(l3,l3) = response(response(response(lark,lark),lark),l3),
inference(symmetry,[status(thm)],[21]) ).
tff(37,plain,
l3 = response(l3,l3),
inference(symmetry,[status(thm)],[12]) ).
tff(38,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(39,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)],[38]) ).
tff(40,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(41,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(42,plain,
! [X2: $i,X1: $i] : ( response(response(lark,X1),X2) = response(X1,response(X2,X2)) ),
inference(modus_ponens,[status(thm)],[41,40]) ).
tff(43,plain,
! [X2: $i,X1: $i] : ( response(response(lark,X1),X2) = response(X1,response(X2,X2)) ),
inference(skolemize,[status(sab)],[42]) ).
tff(44,plain,
! [X2: $i,X1: $i] : ( response(response(lark,X1),X2) = response(X1,response(X2,X2)) ),
inference(modus_ponens,[status(thm)],[43,39]) ).
tff(45,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(46,plain,
response(response(lark,lark),lark) = response(lark,response(lark,lark)),
inference(unit_resolution,[status(thm)],[45,44]) ).
tff(47,plain,
response(lark,response(lark,lark)) = response(response(lark,lark),lark),
inference(symmetry,[status(thm)],[46]) ).
tff(48,plain,
l2 = response(lark,lark),
inference(symmetry,[status(thm)],[18]) ).
tff(49,plain,
response(lark,l2) = response(lark,response(lark,lark)),
inference(monotonicity,[status(thm)],[48]) ).
tff(50,plain,
response(lark,l2) = response(response(response(lark,lark),lark),l3),
inference(transitivity,[status(thm)],[49,47,19,15,37,36]) ).
tff(51,plain,
response(response(lark,l2),lark) = response(response(response(response(lark,lark),lark),l3),lark),
inference(monotonicity,[status(thm)],[50]) ).
tff(52,plain,
response(lark,response(lark,lark)) = response(lark,l2),
inference(symmetry,[status(thm)],[49]) ).
tff(53,plain,
response(l2,lark) = response(response(lark,lark),lark),
inference(symmetry,[status(thm)],[19]) ).
tff(54,plain,
l3 = response(l2,lark),
inference(symmetry,[status(thm)],[15]) ).
tff(55,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(56,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)],[55]) ).
tff(57,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(58,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(59,plain,
! [X2: $i,X1: $i] : ( response(response(response(lark,lark),X1),X2) = response(response(X1,X1),response(X2,X2)) ),
inference(modus_ponens,[status(thm)],[58,57]) ).
tff(60,plain,
! [X2: $i,X1: $i] : ( response(response(response(lark,lark),X1),X2) = response(response(X1,X1),response(X2,X2)) ),
inference(skolemize,[status(sab)],[59]) ).
tff(61,plain,
! [X2: $i,X1: $i] : ( response(response(response(lark,lark),X1),X2) = response(response(X1,X1),response(X2,X2)) ),
inference(modus_ponens,[status(thm)],[60,56]) ).
tff(62,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),l3) = response(response(lark,lark),response(l3,l3)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(63,plain,
response(response(response(lark,lark),lark),l3) = response(response(lark,lark),response(l3,l3)),
inference(unit_resolution,[status(thm)],[62,61]) ).
tff(64,plain,
response(response(lark,lark),response(l3,l3)) = response(response(response(lark,lark),lark),l3),
inference(symmetry,[status(thm)],[63]) ).
tff(65,plain,
response(response(lark,lark),l3) = response(response(lark,lark),response(l3,l3)),
inference(monotonicity,[status(thm)],[37]) ).
tff(66,plain,
response(response(lark,lark),l3) = response(lark,l2),
inference(transitivity,[status(thm)],[65,64,21,12,54,53,46,52]) ).
tff(67,plain,
response(response(response(lark,lark),l3),lark) = response(response(lark,l2),lark),
inference(monotonicity,[status(thm)],[66]) ).
tff(68,plain,
( ~ ! [X2: $i,X1: $i] : ( response(response(response(lark,lark),X1),X2) = response(response(X1,X1),response(X2,X2)) )
| ( response(response(response(lark,lark),l3),lark) = response(response(l3,l3),response(lark,lark)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(69,plain,
response(response(response(lark,lark),l3),lark) = response(response(l3,l3),response(lark,lark)),
inference(unit_resolution,[status(thm)],[68,61]) ).
tff(70,plain,
response(response(l3,l3),response(lark,lark)) = response(response(response(lark,lark),l3),lark),
inference(symmetry,[status(thm)],[69]) ).
tff(71,plain,
response(response(l3,l3),response(l3,l3)) = response(l3,l3),
inference(monotonicity,[status(thm)],[12,12]) ).
tff(72,plain,
response(l3,l3) = response(response(l3,l3),response(l3,l3)),
inference(symmetry,[status(thm)],[71]) ).
tff(73,plain,
response(response(lark,lark),l3) = response(response(l3,l3),response(l3,l3)),
inference(transitivity,[status(thm)],[65,64,21,72]) ).
tff(74,plain,
response(response(response(lark,lark),l3),response(x2,x2)) = response(response(response(l3,l3),response(l3,l3)),response(x2,x2)),
inference(monotonicity,[status(thm)],[73]) ).
tff(75,plain,
( ~ ! [X2: $i,X1: $i] : ( response(response(response(lark,lark),X1),X2) = response(response(X1,X1),response(X2,X2)) )
| ( response(response(response(lark,lark),l3),response(x2,x2)) = response(response(l3,l3),response(response(x2,x2),response(x2,x2))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(76,plain,
response(response(response(lark,lark),l3),response(x2,x2)) = response(response(l3,l3),response(response(x2,x2),response(x2,x2))),
inference(unit_resolution,[status(thm)],[75,61]) ).
tff(77,plain,
response(response(l3,l3),response(response(x2,x2),response(x2,x2))) = response(response(response(lark,lark),l3),response(x2,x2)),
inference(symmetry,[status(thm)],[76]) ).
tff(78,plain,
response(response(lark,lark),lark) = response(l3,l3),
inference(transitivity,[status(thm)],[19,15,37]) ).
tff(79,plain,
response(response(response(lark,lark),lark),response(response(x2,x2),response(x2,x2))) = response(response(l3,l3),response(response(x2,x2),response(x2,x2))),
inference(monotonicity,[status(thm)],[78]) ).
tff(80,plain,
response(response(response(lark,lark),lark),response(response(x2,x2),response(x2,x2))) = response(l3,l3),
inference(transitivity,[status(thm)],[79,77,74,33,23]) ).
tff(81,plain,
response(response(response(response(lark,lark),lark),response(response(x2,x2),response(x2,x2))),response(response(x2,x2),response(x2,x2))) = response(response(l3,l3),response(response(x2,x2),response(x2,x2))),
inference(monotonicity,[status(thm)],[80]) ).
tff(82,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(x2,x2))),response(response(x2,x2),response(x2,x2))) = response(response(response(response(response(x2,x2),response(x2,x2)),response(response(x2,x2),response(x2,x2))),response(response(response(x2,x2),response(x2,x2)),response(response(x2,x2),response(x2,x2)))),response(x2,x2)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(83,plain,
response(response(response(response(lark,lark),lark),response(response(x2,x2),response(x2,x2))),response(response(x2,x2),response(x2,x2))) = response(response(response(response(response(x2,x2),response(x2,x2)),response(response(x2,x2),response(x2,x2))),response(response(response(x2,x2),response(x2,x2)),response(response(x2,x2),response(x2,x2)))),response(x2,x2)),
inference(unit_resolution,[status(thm)],[82,30]) ).
tff(84,plain,
response(response(response(response(response(x2,x2),response(x2,x2)),response(response(x2,x2),response(x2,x2))),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(response(x2,x2),response(x2,x2))),response(response(x2,x2),response(x2,x2))),
inference(symmetry,[status(thm)],[83]) ).
tff(85,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(x2,x2))),response(lark,response(x2,x2))) = response(response(response(response(response(x2,x2),response(x2,x2)),response(response(x2,x2),response(x2,x2))),response(response(response(x2,x2),response(x2,x2)),response(response(x2,x2),response(x2,x2)))),response(x2,x2)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(86,plain,
response(response(response(response(lark,lark),lark),response(response(x2,x2),response(x2,x2))),response(lark,response(x2,x2))) = response(response(response(response(response(x2,x2),response(x2,x2)),response(response(x2,x2),response(x2,x2))),response(response(response(x2,x2),response(x2,x2)),response(response(x2,x2),response(x2,x2)))),response(x2,x2)),
inference(unit_resolution,[status(thm)],[85,30]) ).
tff(87,plain,
response(response(l3,l3),response(response(x2,x2),response(x2,x2))) = response(response(response(lark,lark),lark),response(response(x2,x2),response(x2,x2))),
inference(symmetry,[status(thm)],[79]) ).
tff(88,plain,
response(response(response(l3,l3),response(l3,l3)),response(x2,x2)) = response(response(response(lark,lark),l3),response(x2,x2)),
inference(symmetry,[status(thm)],[74]) ).
tff(89,plain,
l3 = response(response(l3,l3),response(l3,l3)),
inference(transitivity,[status(thm)],[37,72]) ).
tff(90,plain,
response(l3,response(x2,x2)) = response(response(response(l3,l3),response(l3,l3)),response(x2,x2)),
inference(monotonicity,[status(thm)],[89]) ).
tff(91,plain,
( ~ ! [X2: $i,X1: $i] : ( response(response(lark,X1),X2) = response(X1,response(X2,X2)) )
| ( response(response(lark,l3),x2) = response(l3,response(x2,x2)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(92,plain,
response(response(lark,l3),x2) = response(l3,response(x2,x2)),
inference(unit_resolution,[status(thm)],[91,44]) ).
tff(93,plain,
response(lark,l3) = response(lark,response(l3,l3)),
inference(monotonicity,[status(thm)],[37]) ).
tff(94,plain,
response(lark,response(l3,l3)) = response(lark,l3),
inference(symmetry,[status(thm)],[93]) ).
tff(95,plain,
( ~ ! [X2: $i,X1: $i] : ( response(response(lark,X1),X2) = response(X1,response(X2,X2)) )
| ( response(response(lark,lark),l3) = response(lark,response(l3,l3)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(96,plain,
response(response(lark,lark),l3) = response(lark,response(l3,l3)),
inference(unit_resolution,[status(thm)],[95,44]) ).
tff(97,plain,
response(response(lark,lark),response(l3,l3)) = response(response(lark,lark),l3),
inference(symmetry,[status(thm)],[65]) ).
tff(98,plain,
response(response(lark,lark),lark) = response(lark,l3),
inference(transitivity,[status(thm)],[19,15,37,36,63,97,96,94]) ).
tff(99,plain,
response(response(response(lark,lark),lark),x2) = response(response(lark,l3),x2),
inference(monotonicity,[status(thm)],[98]) ).
tff(100,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),x2) = response(response(lark,lark),response(x2,x2)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(101,plain,
response(response(response(lark,lark),lark),x2) = response(response(lark,lark),response(x2,x2)),
inference(unit_resolution,[status(thm)],[100,61]) ).
tff(102,plain,
response(response(lark,lark),response(x2,x2)) = response(response(response(lark,lark),lark),x2),
inference(symmetry,[status(thm)],[101]) ).
tff(103,plain,
response(response(lark,lark),response(x2,x2)) = response(response(response(lark,lark),lark),response(response(x2,x2),response(x2,x2))),
inference(transitivity,[status(thm)],[102,99,92,90,88,76,87]) ).
tff(104,plain,
response(response(response(lark,lark),response(x2,x2)),response(lark,response(x2,x2))) = response(response(response(response(lark,lark),lark),response(response(x2,x2),response(x2,x2))),response(lark,response(x2,x2))),
inference(monotonicity,[status(thm)],[103]) ).
tff(105,plain,
response(response(lark,l3),x2) = response(response(response(lark,lark),lark),x2),
inference(symmetry,[status(thm)],[99]) ).
tff(106,plain,
response(l3,response(x2,x2)) = response(response(lark,l3),x2),
inference(symmetry,[status(thm)],[92]) ).
tff(107,plain,
response(response(response(l3,l3),response(l3,l3)),response(x2,x2)) = response(l3,response(x2,x2)),
inference(symmetry,[status(thm)],[90]) ).
tff(108,plain,
( ~ ! [X2: $i,X1: $i] : ( response(response(lark,X1),X2) = response(X1,response(X2,X2)) )
| ( response(response(lark,l2),lark) = response(l2,response(lark,lark)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(109,plain,
response(response(lark,l2),lark) = response(l2,response(lark,lark)),
inference(unit_resolution,[status(thm)],[108,44]) ).
tff(110,plain,
response(l2,response(lark,lark)) = response(response(lark,l2),lark),
inference(symmetry,[status(thm)],[109]) ).
tff(111,plain,
response(l2,l2) = response(l2,response(lark,lark)),
inference(monotonicity,[status(thm)],[48]) ).
tff(112,plain,
response(response(lark,lark),l2) = response(l2,l2),
inference(monotonicity,[status(thm)],[18]) ).
tff(113,plain,
response(response(lark,lark),l2) = response(response(lark,lark),response(x2,x2)),
inference(transitivity,[status(thm)],[112,111,110,51,35,107,106,105,101]) ).
tff(114,plain,
response(response(response(lark,lark),l2),response(lark,response(x2,x2))) = response(response(response(lark,lark),response(x2,x2)),response(lark,response(x2,x2))),
inference(monotonicity,[status(thm)],[113]) ).
tff(115,plain,
( ~ ! [X2: $i,X1: $i] : ( response(response(response(lark,lark),X1),X2) = response(response(X1,X1),response(X2,X2)) )
| ( response(response(response(lark,lark),l2),response(lark,response(x2,x2))) = response(response(l2,l2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(116,plain,
response(response(response(lark,lark),l2),response(lark,response(x2,x2))) = response(response(l2,l2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))),
inference(unit_resolution,[status(thm)],[115,61]) ).
tff(117,plain,
response(response(l2,l2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))) = response(response(response(lark,lark),l2),response(lark,response(x2,x2))),
inference(symmetry,[status(thm)],[116]) ).
tff(118,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(119,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)],[118,44]) ).
tff(120,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)],[119]) ).
tff(121,plain,
response(l2,response(lark,lark)) = response(l2,l2),
inference(symmetry,[status(thm)],[111]) ).
tff(122,plain,
response(response(response(response(lark,lark),lark),l3),lark) = response(response(lark,l2),lark),
inference(symmetry,[status(thm)],[51]) ).
tff(123,plain,
response(response(response(l3,l3),response(l3,l3)),response(x2,x2)) = response(response(response(response(lark,lark),lark),l3),lark),
inference(symmetry,[status(thm)],[35]) ).
tff(124,plain,
response(l3,l3) = response(response(response(response(lark,lark),lark),l3),l3),
inference(symmetry,[status(thm)],[23]) ).
tff(125,plain,
response(response(lark,lark),lark) = response(l2,l2),
inference(transitivity,[status(thm)],[19,15,37,124,32,123,122,109,121]) ).
tff(126,plain,
response(response(response(lark,lark),lark),response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))) = response(response(l2,l2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))),
inference(monotonicity,[status(thm)],[125,120]) ).
tff(127,plain,
response(response(response(lark,lark),lark),response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))) = response(l2,l2),
inference(transitivity,[status(thm)],[126,117,114,104,86,84,81,77,74,123,122,109,121]) ).
tff(128,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(l2,l2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))),
inference(monotonicity,[status(thm)],[127,120]) ).
tff(129,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(130,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)],[129,30]) ).
tff(131,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)],[130]) ).
tff(132,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))))),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(133,plain,
response(response(response(response(lark,lark),lark),response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))),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)],[132,30]) ).
tff(134,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(135,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)],[134,61]) ).
tff(136,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)],[135]) ).
tff(137,plain,
response(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)))))),kestrel) = response(response(response(response(lark,lark),lark),response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))),kestrel),
inference(monotonicity,[status(thm)],[136]) ).
tff(138,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(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)))))),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(kestrel,kestrel)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(139,plain,
response(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)))))),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(kestrel,kestrel)),
inference(unit_resolution,[status(thm)],[138,61]) ).
tff(140,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(kestrel,kestrel)) = response(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)))))),kestrel),
inference(symmetry,[status(thm)],[139]) ).
tff(141,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(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(quant_inst,[status(thm)],[]) ).
tff(142,plain,
response(response(response(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(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(unit_resolution,[status(thm)],[141,61]) ).
tff(143,plain,
response(lark,l2) = response(response(lark,lark),response(x2,x2)),
inference(transitivity,[status(thm)],[49,47,19,15,37,124,32,107,106,105,101]) ).
tff(144,plain,
response(response(lark,l2),response(lark,response(x2,x2))) = response(response(response(lark,lark),response(x2,x2)),response(lark,response(x2,x2))),
inference(monotonicity,[status(thm)],[143]) ).
tff(145,plain,
( ~ ! [X2: $i,X1: $i] : ( response(response(lark,X1),X2) = response(X1,response(X2,X2)) )
| ( response(response(lark,l2),response(lark,response(x2,x2))) = response(l2,response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(146,plain,
response(response(lark,l2),response(lark,response(x2,x2))) = response(l2,response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))),
inference(unit_resolution,[status(thm)],[145,44]) ).
tff(147,plain,
response(l2,response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))) = response(response(lark,l2),response(lark,response(x2,x2))),
inference(symmetry,[status(thm)],[146]) ).
tff(148,plain,
response(response(lark,lark),response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))) = response(l2,response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))),
inference(monotonicity,[status(thm)],[18,120]) ).
tff(149,plain,
response(response(lark,lark),response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))) = response(l2,l2),
inference(transitivity,[status(thm)],[148,147,144,104,86,84,81,77,74,123,122,109,121]) ).
tff(150,plain,
response(response(response(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(l2,l2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))),
inference(monotonicity,[status(thm)],[149,120]) ).
tff(151,plain,
response(response(l2,l2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2)))) = response(response(response(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)],[150]) ).
tff(152,plain,
response(response(l2,l2),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)],[126]) ).
tff(153,plain,
response(response(response(lark,lark),response(x2,x2)),response(lark,response(x2,x2))) = response(response(response(lark,lark),l2),response(lark,response(x2,x2))),
inference(symmetry,[status(thm)],[114]) ).
tff(154,plain,
response(response(response(response(lark,lark),lark),response(response(x2,x2),response(x2,x2))),response(lark,response(x2,x2))) = response(response(response(lark,lark),response(x2,x2)),response(lark,response(x2,x2))),
inference(symmetry,[status(thm)],[104]) ).
tff(155,plain,
response(response(response(response(response(x2,x2),response(x2,x2)),response(response(x2,x2),response(x2,x2))),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(response(x2,x2),response(x2,x2))),response(lark,response(x2,x2))),
inference(symmetry,[status(thm)],[86]) ).
tff(156,plain,
response(response(l3,l3),response(response(x2,x2),response(x2,x2))) = response(response(response(response(lark,lark),lark),response(response(x2,x2),response(x2,x2))),response(response(x2,x2),response(x2,x2))),
inference(symmetry,[status(thm)],[81]) ).
tff(157,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)],[19,15,37,124,32,88,76,156,83,155,154,153,116,152]) ).
tff(158,plain,
response(response(response(lark,lark),lark),kestrel) = response(response(response(response(lark,lark),lark),response(response(x2,x2),response(response(lark,response(x2,x2)),response(lark,response(x2,x2))))),kestrel),
inference(monotonicity,[status(thm)],[157]) ).
tff(159,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(160,plain,
response(response(response(lark,lark),lark),kestrel) = response(response(lark,lark),response(kestrel,kestrel)),
inference(unit_resolution,[status(thm)],[159,61]) ).
tff(161,plain,
response(response(lark,lark),response(kestrel,kestrel)) = response(response(response(lark,lark),lark),kestrel),
inference(symmetry,[status(thm)],[160]) ).
tff(162,plain,
response(response(lark,lark),response(kestrel,kestrel)) = 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(transitivity,[status(thm)],[161,158,133,131,128,151,142]) ).
tff(163,plain,
response(response(response(lark,lark),response(kestrel,kestrel)),response(kestrel,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(kestrel,kestrel)),
inference(monotonicity,[status(thm)],[162]) ).
tff(164,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,kestrel)),response(kestrel,kestrel)) = response(response(response(kestrel,kestrel),response(kestrel,kestrel)),response(response(kestrel,kestrel),response(kestrel,kestrel))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(165,plain,
response(response(response(lark,lark),response(kestrel,kestrel)),response(kestrel,kestrel)) = response(response(response(kestrel,kestrel),response(kestrel,kestrel)),response(response(kestrel,kestrel),response(kestrel,kestrel))),
inference(unit_resolution,[status(thm)],[164,61]) ).
tff(166,plain,
response(response(response(kestrel,kestrel),response(kestrel,kestrel)),response(response(kestrel,kestrel),response(kestrel,kestrel))) = response(response(response(lark,lark),response(kestrel,kestrel)),response(kestrel,kestrel)),
inference(symmetry,[status(thm)],[165]) ).
tff(167,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(168,plain,
response(response(kestrel,kestrel),response(kestrel,kestrel)) = kestrel,
inference(unit_resolution,[status(thm)],[167,7]) ).
tff(169,plain,
kestrel = response(response(kestrel,kestrel),response(kestrel,kestrel)),
inference(symmetry,[status(thm)],[168]) ).
tff(170,plain,
response(kestrel,kestrel) = response(response(response(kestrel,kestrel),response(kestrel,kestrel)),response(response(kestrel,kestrel),response(kestrel,kestrel))),
inference(monotonicity,[status(thm)],[169,169]) ).
tff(171,plain,
response(kestrel,kestrel) = l3,
inference(transitivity,[status(thm)],[170,166,163,140,137,133,131,128,117,114,104,86,84,81,77,74,33,23,12]) ).
tff(172,plain,
response(response(kestrel,kestrel),response(kestrel,kestrel)) = response(l3,l3),
inference(monotonicity,[status(thm)],[171,171]) ).
tff(173,plain,
kestrel = response(l3,l3),
inference(transitivity,[status(thm)],[169,172]) ).
tff(174,plain,
response(kestrel,l2) = response(response(l3,l3),response(lark,lark)),
inference(monotonicity,[status(thm)],[173,48]) ).
tff(175,plain,
response(kestrel,l2) = l3,
inference(transitivity,[status(thm)],[174,70,67,51,35,33,23,12]) ).
tff(176,plain,
response(response(kestrel,l2),l3) = response(l3,l3),
inference(monotonicity,[status(thm)],[175]) ).
tff(177,plain,
response(l3,l3) = response(response(kestrel,l2),l3),
inference(symmetry,[status(thm)],[176]) ).
tff(178,plain,
response(l2,l2) = l2,
inference(transitivity,[status(thm)],[111,110,51,35,33,23,177,9]) ).
tff(179,plain,
( ( response(l2,l2) != l2 )
<=> ( response(l2,l2) != l2 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(180,axiom,
response(l2,l2) != l2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lark_not_egocentric) ).
tff(181,plain,
response(l2,l2) != l2,
inference(modus_ponens,[status(thm)],[180,179]) ).
tff(182,plain,
$false,
inference(unit_resolution,[status(thm)],[181,178]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COL059-1 : TPTP v9.0.0. Released v1.0.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.13/0.33 % Computer : n010.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Thu Jun 19 12:12:11 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.69/0.84 % SZS status Unsatisfiable
% 0.69/0.84 % SZS output start Proof
% See solution above
% 0.69/0.86 % E exiting
%------------------------------------------------------------------------------