%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : LAT088-1 : TPTP v9.0.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n007.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 05:13:51 AM UTC 2025
% Result : Unsatisfiable 0.47s 0.65s
% Output : Proof 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 42
% Syntax : Number of formulae : 180 ( 144 unt; 0 typ; 0 def)
% Number of atoms : 226 ( 220 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 70 ( 29 ~; 25 |; 0 &)
% ( 16 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of FOOLs : 5 ( 5 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 : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 172 ( 160 !; 0 ?; 172 :)
% Comments :
%------------------------------------------------------------------------------
tff(a_type,type,
a: $i ).
tff(meet_type,type,
meet: ( $i * $i ) > $i ).
tff(join_type,type,
join: ( $i * $i ) > $i ).
tff(1,plain,
^ [B: $i,A: $i] :
refl(( ( join(meet(A,B),meet(B,join(A,B))) = B )
<=> ( join(meet(A,B),meet(B,join(A,B))) = B ) )),
inference(bind,[status(th)],[]) ).
tff(2,plain,
( ! [B: $i,A: $i] : ( join(meet(A,B),meet(B,join(A,B))) = B )
<=> ! [B: $i,A: $i] : ( join(meet(A,B),meet(B,join(A,B))) = B ) ),
inference(quant_intro,[status(thm)],[1]) ).
tff(3,plain,
( ! [B: $i,A: $i] : ( join(meet(A,B),meet(B,join(A,B))) = B )
<=> ! [B: $i,A: $i] : ( join(meet(A,B),meet(B,join(A,B))) = B ) ),
inference(rewrite,[status(thm)],[]) ).
tff(4,axiom,
! [B: $i,A: $i] : ( join(meet(A,B),meet(B,join(A,B))) = B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wal_absorbtion_3) ).
tff(5,plain,
! [B: $i,A: $i] : ( join(meet(A,B),meet(B,join(A,B))) = B ),
inference(modus_ponens,[status(thm)],[4,3]) ).
tff(6,plain,
! [B: $i,A: $i] : ( join(meet(A,B),meet(B,join(A,B))) = B ),
inference(skolemize,[status(sab)],[5]) ).
tff(7,plain,
! [B: $i,A: $i] : ( join(meet(A,B),meet(B,join(A,B))) = B ),
inference(modus_ponens,[status(thm)],[6,2]) ).
tff(8,plain,
( ~ ! [B: $i,A: $i] : ( join(meet(A,B),meet(B,join(A,B))) = B )
| ( join(meet(join(meet(a,a),meet(a,a)),a),meet(a,join(join(meet(a,a),meet(a,a)),a))) = a ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(9,plain,
join(meet(join(meet(a,a),meet(a,a)),a),meet(a,join(join(meet(a,a),meet(a,a)),a))) = a,
inference(unit_resolution,[status(thm)],[8,7]) ).
tff(10,plain,
^ [B: $i,A: $i,C: $i] :
refl(( ( meet(meet(join(A,B),join(C,A)),A) = A )
<=> ( meet(meet(join(A,B),join(C,A)),A) = A ) )),
inference(bind,[status(th)],[]) ).
tff(11,plain,
( ! [B: $i,A: $i,C: $i] : ( meet(meet(join(A,B),join(C,A)),A) = A )
<=> ! [B: $i,A: $i,C: $i] : ( meet(meet(join(A,B),join(C,A)),A) = A ) ),
inference(quant_intro,[status(thm)],[10]) ).
tff(12,plain,
( ! [B: $i,A: $i,C: $i] : ( meet(meet(join(A,B),join(C,A)),A) = A )
<=> ! [B: $i,A: $i,C: $i] : ( meet(meet(join(A,B),join(C,A)),A) = A ) ),
inference(rewrite,[status(thm)],[]) ).
tff(13,axiom,
! [B: $i,A: $i,C: $i] : ( meet(meet(join(A,B),join(C,A)),A) = A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wal_absorbtion_4) ).
tff(14,plain,
! [B: $i,A: $i,C: $i] : ( meet(meet(join(A,B),join(C,A)),A) = A ),
inference(modus_ponens,[status(thm)],[13,12]) ).
tff(15,plain,
! [B: $i,A: $i,C: $i] : ( meet(meet(join(A,B),join(C,A)),A) = A ),
inference(skolemize,[status(sab)],[14]) ).
tff(16,plain,
! [B: $i,A: $i,C: $i] : ( meet(meet(join(A,B),join(C,A)),A) = A ),
inference(modus_ponens,[status(thm)],[15,11]) ).
tff(17,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( meet(meet(join(A,B),join(C,A)),A) = A )
| ( meet(meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))) = join(meet(a,a),meet(a,a)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(18,plain,
meet(meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))) = join(meet(a,a),meet(a,a)),
inference(unit_resolution,[status(thm)],[17,16]) ).
tff(19,plain,
join(meet(a,a),meet(a,a)) = meet(meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))),
inference(symmetry,[status(thm)],[18]) ).
tff(20,plain,
^ [B: $i,A: $i,C: $i] :
refl(( ( join(join(meet(A,B),meet(C,A)),A) = A )
<=> ( join(join(meet(A,B),meet(C,A)),A) = A ) )),
inference(bind,[status(th)],[]) ).
tff(21,plain,
( ! [B: $i,A: $i,C: $i] : ( join(join(meet(A,B),meet(C,A)),A) = A )
<=> ! [B: $i,A: $i,C: $i] : ( join(join(meet(A,B),meet(C,A)),A) = A ) ),
inference(quant_intro,[status(thm)],[20]) ).
tff(22,plain,
( ! [B: $i,A: $i,C: $i] : ( join(join(meet(A,B),meet(C,A)),A) = A )
<=> ! [B: $i,A: $i,C: $i] : ( join(join(meet(A,B),meet(C,A)),A) = A ) ),
inference(rewrite,[status(thm)],[]) ).
tff(23,axiom,
! [B: $i,A: $i,C: $i] : ( join(join(meet(A,B),meet(C,A)),A) = A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wal_absorbtion_5) ).
tff(24,plain,
! [B: $i,A: $i,C: $i] : ( join(join(meet(A,B),meet(C,A)),A) = A ),
inference(modus_ponens,[status(thm)],[23,22]) ).
tff(25,plain,
! [B: $i,A: $i,C: $i] : ( join(join(meet(A,B),meet(C,A)),A) = A ),
inference(skolemize,[status(sab)],[24]) ).
tff(26,plain,
! [B: $i,A: $i,C: $i] : ( join(join(meet(A,B),meet(C,A)),A) = A ),
inference(modus_ponens,[status(thm)],[25,21]) ).
tff(27,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( join(join(meet(A,B),meet(C,A)),A) = A )
| ( join(join(meet(meet(a,a),meet(a,a)),meet(meet(a,a),meet(a,a))),meet(a,a)) = meet(a,a) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(28,plain,
join(join(meet(meet(a,a),meet(a,a)),meet(meet(a,a),meet(a,a))),meet(a,a)) = meet(a,a),
inference(unit_resolution,[status(thm)],[27,26]) ).
tff(29,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( meet(meet(join(A,B),join(C,A)),A) = A )
| ( meet(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(a,a)) = meet(a,a) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(30,plain,
meet(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(a,a)) = meet(a,a),
inference(unit_resolution,[status(thm)],[29,16]) ).
tff(31,plain,
^ [B: $i,A: $i] :
refl(( ( join(meet(A,B),meet(A,join(A,B))) = A )
<=> ( join(meet(A,B),meet(A,join(A,B))) = A ) )),
inference(bind,[status(th)],[]) ).
tff(32,plain,
( ! [B: $i,A: $i] : ( join(meet(A,B),meet(A,join(A,B))) = A )
<=> ! [B: $i,A: $i] : ( join(meet(A,B),meet(A,join(A,B))) = A ) ),
inference(quant_intro,[status(thm)],[31]) ).
tff(33,plain,
( ! [B: $i,A: $i] : ( join(meet(A,B),meet(A,join(A,B))) = A )
<=> ! [B: $i,A: $i] : ( join(meet(A,B),meet(A,join(A,B))) = A ) ),
inference(rewrite,[status(thm)],[]) ).
tff(34,axiom,
! [B: $i,A: $i] : ( join(meet(A,B),meet(A,join(A,B))) = A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wal_absorbtion_1) ).
tff(35,plain,
! [B: $i,A: $i] : ( join(meet(A,B),meet(A,join(A,B))) = A ),
inference(modus_ponens,[status(thm)],[34,33]) ).
tff(36,plain,
! [B: $i,A: $i] : ( join(meet(A,B),meet(A,join(A,B))) = A ),
inference(skolemize,[status(sab)],[35]) ).
tff(37,plain,
! [B: $i,A: $i] : ( join(meet(A,B),meet(A,join(A,B))) = A ),
inference(modus_ponens,[status(thm)],[36,32]) ).
tff(38,plain,
( ~ ! [B: $i,A: $i] : ( join(meet(A,B),meet(A,join(A,B))) = A )
| ( join(meet(meet(meet(a,a),meet(a,a)),meet(join(meet(meet(a,a),meet(a,a)),meet(a,a)),join(meet(meet(a,a),meet(a,a)),meet(meet(a,a),meet(a,a))))),meet(meet(meet(a,a),meet(a,a)),join(meet(meet(a,a),meet(a,a)),meet(join(meet(meet(a,a),meet(a,a)),meet(a,a)),join(meet(meet(a,a),meet(a,a)),meet(meet(a,a),meet(a,a))))))) = meet(meet(a,a),meet(a,a)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(39,plain,
join(meet(meet(meet(a,a),meet(a,a)),meet(join(meet(meet(a,a),meet(a,a)),meet(a,a)),join(meet(meet(a,a),meet(a,a)),meet(meet(a,a),meet(a,a))))),meet(meet(meet(a,a),meet(a,a)),join(meet(meet(a,a),meet(a,a)),meet(join(meet(meet(a,a),meet(a,a)),meet(a,a)),join(meet(meet(a,a),meet(a,a)),meet(meet(a,a),meet(a,a))))))) = meet(meet(a,a),meet(a,a)),
inference(unit_resolution,[status(thm)],[38,37]) ).
tff(40,plain,
^ [B: $i,A: $i] :
refl(( ( join(meet(A,A),meet(B,join(A,A))) = A )
<=> ( join(meet(A,A),meet(B,join(A,A))) = A ) )),
inference(bind,[status(th)],[]) ).
tff(41,plain,
( ! [B: $i,A: $i] : ( join(meet(A,A),meet(B,join(A,A))) = A )
<=> ! [B: $i,A: $i] : ( join(meet(A,A),meet(B,join(A,A))) = A ) ),
inference(quant_intro,[status(thm)],[40]) ).
tff(42,plain,
( ! [B: $i,A: $i] : ( join(meet(A,A),meet(B,join(A,A))) = A )
<=> ! [B: $i,A: $i] : ( join(meet(A,A),meet(B,join(A,A))) = A ) ),
inference(rewrite,[status(thm)],[]) ).
tff(43,axiom,
! [B: $i,A: $i] : ( join(meet(A,A),meet(B,join(A,A))) = A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wal_absorbtion_2) ).
tff(44,plain,
! [B: $i,A: $i] : ( join(meet(A,A),meet(B,join(A,A))) = A ),
inference(modus_ponens,[status(thm)],[43,42]) ).
tff(45,plain,
! [B: $i,A: $i] : ( join(meet(A,A),meet(B,join(A,A))) = A ),
inference(skolemize,[status(sab)],[44]) ).
tff(46,plain,
! [B: $i,A: $i] : ( join(meet(A,A),meet(B,join(A,A))) = A ),
inference(modus_ponens,[status(thm)],[45,41]) ).
tff(47,plain,
( ~ ! [B: $i,A: $i] : ( join(meet(A,A),meet(B,join(A,A))) = A )
| ( join(meet(meet(meet(a,a),meet(a,a)),meet(meet(a,a),meet(a,a))),meet(join(meet(meet(a,a),meet(a,a)),meet(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(a,a))),join(meet(meet(a,a),meet(a,a)),meet(meet(a,a),meet(a,a))))) = meet(meet(a,a),meet(a,a)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(48,plain,
join(meet(meet(meet(a,a),meet(a,a)),meet(meet(a,a),meet(a,a))),meet(join(meet(meet(a,a),meet(a,a)),meet(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(a,a))),join(meet(meet(a,a),meet(a,a)),meet(meet(a,a),meet(a,a))))) = meet(meet(a,a),meet(a,a)),
inference(unit_resolution,[status(thm)],[47,46]) ).
tff(49,plain,
meet(a,a) = meet(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(a,a)),
inference(symmetry,[status(thm)],[30]) ).
tff(50,plain,
join(meet(meet(a,a),meet(a,a)),meet(a,a)) = join(meet(meet(a,a),meet(a,a)),meet(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(a,a))),
inference(monotonicity,[status(thm)],[49]) ).
tff(51,plain,
join(meet(meet(a,a),meet(a,a)),meet(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(a,a))) = join(meet(meet(a,a),meet(a,a)),meet(a,a)),
inference(symmetry,[status(thm)],[50]) ).
tff(52,plain,
meet(join(meet(meet(a,a),meet(a,a)),meet(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(a,a))),join(meet(meet(a,a),meet(a,a)),meet(meet(a,a),meet(a,a)))) = meet(join(meet(meet(a,a),meet(a,a)),meet(a,a)),join(meet(meet(a,a),meet(a,a)),meet(meet(a,a),meet(a,a)))),
inference(monotonicity,[status(thm)],[51]) ).
tff(53,plain,
meet(join(meet(meet(a,a),meet(a,a)),meet(a,a)),join(meet(meet(a,a),meet(a,a)),meet(meet(a,a),meet(a,a)))) = meet(join(meet(meet(a,a),meet(a,a)),meet(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(a,a))),join(meet(meet(a,a),meet(a,a)),meet(meet(a,a),meet(a,a)))),
inference(symmetry,[status(thm)],[52]) ).
tff(54,plain,
( ~ ! [B: $i,A: $i] : ( join(meet(A,B),meet(B,join(A,B))) = B )
| ( join(meet(join(meet(meet(a,a),meet(a,a)),meet(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(a,a))),meet(a,a)),meet(meet(a,a),join(join(meet(meet(a,a),meet(a,a)),meet(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(a,a))),meet(a,a)))) = meet(a,a) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(55,plain,
join(meet(join(meet(meet(a,a),meet(a,a)),meet(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(a,a))),meet(a,a)),meet(meet(a,a),join(join(meet(meet(a,a),meet(a,a)),meet(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(a,a))),meet(a,a)))) = meet(a,a),
inference(unit_resolution,[status(thm)],[54,7]) ).
tff(56,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( join(join(meet(A,B),meet(C,A)),A) = A )
| ( join(join(meet(meet(a,a),meet(a,a)),meet(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(a,a))),meet(a,a)) = meet(a,a) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(57,plain,
join(join(meet(meet(a,a),meet(a,a)),meet(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(a,a))),meet(a,a)) = meet(a,a),
inference(unit_resolution,[status(thm)],[56,26]) ).
tff(58,plain,
meet(meet(a,a),join(join(meet(meet(a,a),meet(a,a)),meet(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(a,a))),meet(a,a))) = meet(meet(a,a),meet(a,a)),
inference(monotonicity,[status(thm)],[57]) ).
tff(59,plain,
meet(meet(a,a),meet(a,a)) = meet(meet(a,a),join(join(meet(meet(a,a),meet(a,a)),meet(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(a,a))),meet(a,a))),
inference(symmetry,[status(thm)],[58]) ).
tff(60,plain,
join(meet(join(meet(meet(a,a),meet(a,a)),meet(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(a,a))),meet(a,a)),meet(meet(a,a),meet(a,a))) = join(meet(join(meet(meet(a,a),meet(a,a)),meet(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(a,a))),meet(a,a)),meet(meet(a,a),join(join(meet(meet(a,a),meet(a,a)),meet(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(a,a))),meet(a,a)))),
inference(monotonicity,[status(thm)],[59]) ).
tff(61,plain,
join(meet(join(meet(meet(a,a),meet(a,a)),meet(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(a,a))),meet(a,a)),meet(meet(a,a),meet(a,a))) = meet(a,a),
inference(transitivity,[status(thm)],[60,55]) ).
tff(62,plain,
( ~ ! [B: $i,A: $i] : ( join(meet(A,A),meet(B,join(A,A))) = A )
| ( join(meet(meet(a,a),meet(a,a)),meet(join(meet(a,a),meet(join(meet(a,a),meet(a,a)),a)),join(meet(a,a),meet(a,a)))) = meet(a,a) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(63,plain,
join(meet(meet(a,a),meet(a,a)),meet(join(meet(a,a),meet(join(meet(a,a),meet(a,a)),a)),join(meet(a,a),meet(a,a)))) = meet(a,a),
inference(unit_resolution,[status(thm)],[62,46]) ).
tff(64,plain,
meet(join(meet(meet(a,a),meet(a,a)),meet(join(meet(a,a),meet(join(meet(a,a),meet(a,a)),a)),join(meet(a,a),meet(a,a)))),join(meet(join(meet(meet(a,a),meet(a,a)),meet(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(a,a))),meet(a,a)),meet(meet(a,a),meet(a,a)))) = meet(meet(a,a),meet(a,a)),
inference(monotonicity,[status(thm)],[63,61]) ).
tff(65,plain,
meet(meet(a,a),meet(a,a)) = meet(join(meet(meet(a,a),meet(a,a)),meet(join(meet(a,a),meet(join(meet(a,a),meet(a,a)),a)),join(meet(a,a),meet(a,a)))),join(meet(join(meet(meet(a,a),meet(a,a)),meet(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(a,a))),meet(a,a)),meet(meet(a,a),meet(a,a)))),
inference(symmetry,[status(thm)],[64]) ).
tff(66,plain,
meet(meet(meet(a,a),meet(a,a)),meet(meet(a,a),meet(a,a))) = meet(meet(join(meet(meet(a,a),meet(a,a)),meet(join(meet(a,a),meet(join(meet(a,a),meet(a,a)),a)),join(meet(a,a),meet(a,a)))),join(meet(join(meet(meet(a,a),meet(a,a)),meet(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(a,a))),meet(a,a)),meet(meet(a,a),meet(a,a)))),meet(meet(a,a),meet(a,a))),
inference(monotonicity,[status(thm)],[65]) ).
tff(67,plain,
meet(meet(join(meet(meet(a,a),meet(a,a)),meet(join(meet(a,a),meet(join(meet(a,a),meet(a,a)),a)),join(meet(a,a),meet(a,a)))),join(meet(join(meet(meet(a,a),meet(a,a)),meet(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(a,a))),meet(a,a)),meet(meet(a,a),meet(a,a)))),meet(meet(a,a),meet(a,a))) = meet(meet(meet(a,a),meet(a,a)),meet(meet(a,a),meet(a,a))),
inference(symmetry,[status(thm)],[66]) ).
tff(68,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( meet(meet(join(A,B),join(C,A)),A) = A )
| ( meet(meet(join(meet(meet(a,a),meet(a,a)),meet(join(meet(a,a),meet(join(meet(a,a),meet(a,a)),a)),join(meet(a,a),meet(a,a)))),join(meet(join(meet(meet(a,a),meet(a,a)),meet(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(a,a))),meet(a,a)),meet(meet(a,a),meet(a,a)))),meet(meet(a,a),meet(a,a))) = meet(meet(a,a),meet(a,a)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(69,plain,
meet(meet(join(meet(meet(a,a),meet(a,a)),meet(join(meet(a,a),meet(join(meet(a,a),meet(a,a)),a)),join(meet(a,a),meet(a,a)))),join(meet(join(meet(meet(a,a),meet(a,a)),meet(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(a,a))),meet(a,a)),meet(meet(a,a),meet(a,a)))),meet(meet(a,a),meet(a,a))) = meet(meet(a,a),meet(a,a)),
inference(unit_resolution,[status(thm)],[68,16]) ).
tff(70,plain,
meet(meet(a,a),meet(a,a)) = meet(meet(join(meet(meet(a,a),meet(a,a)),meet(join(meet(a,a),meet(join(meet(a,a),meet(a,a)),a)),join(meet(a,a),meet(a,a)))),join(meet(join(meet(meet(a,a),meet(a,a)),meet(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(a,a))),meet(a,a)),meet(meet(a,a),meet(a,a)))),meet(meet(a,a),meet(a,a))),
inference(symmetry,[status(thm)],[69]) ).
tff(71,plain,
meet(meet(a,a),meet(a,a)) = meet(meet(meet(a,a),meet(a,a)),meet(meet(a,a),meet(a,a))),
inference(transitivity,[status(thm)],[70,67]) ).
tff(72,plain,
join(meet(meet(a,a),meet(a,a)),meet(join(meet(meet(a,a),meet(a,a)),meet(a,a)),join(meet(meet(a,a),meet(a,a)),meet(meet(a,a),meet(a,a))))) = join(meet(meet(meet(a,a),meet(a,a)),meet(meet(a,a),meet(a,a))),meet(join(meet(meet(a,a),meet(a,a)),meet(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(a,a))),join(meet(meet(a,a),meet(a,a)),meet(meet(a,a),meet(a,a))))),
inference(monotonicity,[status(thm)],[71,53]) ).
tff(73,plain,
join(meet(meet(a,a),meet(a,a)),meet(join(meet(meet(a,a),meet(a,a)),meet(a,a)),join(meet(meet(a,a),meet(a,a)),meet(meet(a,a),meet(a,a))))) = meet(meet(a,a),meet(a,a)),
inference(transitivity,[status(thm)],[72,48]) ).
tff(74,plain,
meet(meet(meet(a,a),meet(a,a)),join(meet(meet(a,a),meet(a,a)),meet(join(meet(meet(a,a),meet(a,a)),meet(a,a)),join(meet(meet(a,a),meet(a,a)),meet(meet(a,a),meet(a,a)))))) = meet(meet(meet(a,a),meet(a,a)),meet(meet(a,a),meet(a,a))),
inference(monotonicity,[status(thm)],[73]) ).
tff(75,plain,
meet(meet(meet(a,a),meet(a,a)),meet(meet(a,a),meet(a,a))) = meet(meet(meet(a,a),meet(a,a)),join(meet(meet(a,a),meet(a,a)),meet(join(meet(meet(a,a),meet(a,a)),meet(a,a)),join(meet(meet(a,a),meet(a,a)),meet(meet(a,a),meet(a,a)))))),
inference(symmetry,[status(thm)],[74]) ).
tff(76,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( meet(meet(join(A,B),join(C,A)),A) = A )
| ( meet(meet(join(meet(meet(a,a),meet(a,a)),meet(a,a)),join(meet(meet(a,a),meet(a,a)),meet(meet(a,a),meet(a,a)))),meet(meet(a,a),meet(a,a))) = meet(meet(a,a),meet(a,a)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(77,plain,
meet(meet(join(meet(meet(a,a),meet(a,a)),meet(a,a)),join(meet(meet(a,a),meet(a,a)),meet(meet(a,a),meet(a,a)))),meet(meet(a,a),meet(a,a))) = meet(meet(a,a),meet(a,a)),
inference(unit_resolution,[status(thm)],[76,16]) ).
tff(78,plain,
meet(meet(join(meet(meet(a,a),meet(a,a)),meet(a,a)),join(meet(meet(a,a),meet(a,a)),meet(meet(a,a),meet(a,a)))),join(meet(meet(a,a),meet(a,a)),meet(join(meet(meet(a,a),meet(a,a)),meet(a,a)),join(meet(meet(a,a),meet(a,a)),meet(meet(a,a),meet(a,a)))))) = meet(meet(join(meet(meet(a,a),meet(a,a)),meet(a,a)),join(meet(meet(a,a),meet(a,a)),meet(meet(a,a),meet(a,a)))),meet(meet(a,a),meet(a,a))),
inference(monotonicity,[status(thm)],[73]) ).
tff(79,plain,
meet(meet(join(meet(meet(a,a),meet(a,a)),meet(a,a)),join(meet(meet(a,a),meet(a,a)),meet(meet(a,a),meet(a,a)))),join(meet(meet(a,a),meet(a,a)),meet(join(meet(meet(a,a),meet(a,a)),meet(a,a)),join(meet(meet(a,a),meet(a,a)),meet(meet(a,a),meet(a,a)))))) = meet(meet(meet(a,a),meet(a,a)),join(meet(meet(a,a),meet(a,a)),meet(join(meet(meet(a,a),meet(a,a)),meet(a,a)),join(meet(meet(a,a),meet(a,a)),meet(meet(a,a),meet(a,a)))))),
inference(transitivity,[status(thm)],[78,77,70,67,75]) ).
tff(80,plain,
join(meet(meet(meet(a,a),meet(a,a)),meet(join(meet(meet(a,a),meet(a,a)),meet(a,a)),join(meet(meet(a,a),meet(a,a)),meet(meet(a,a),meet(a,a))))),meet(meet(join(meet(meet(a,a),meet(a,a)),meet(a,a)),join(meet(meet(a,a),meet(a,a)),meet(meet(a,a),meet(a,a)))),join(meet(meet(a,a),meet(a,a)),meet(join(meet(meet(a,a),meet(a,a)),meet(a,a)),join(meet(meet(a,a),meet(a,a)),meet(meet(a,a),meet(a,a))))))) = join(meet(meet(meet(a,a),meet(a,a)),meet(join(meet(meet(a,a),meet(a,a)),meet(a,a)),join(meet(meet(a,a),meet(a,a)),meet(meet(a,a),meet(a,a))))),meet(meet(meet(a,a),meet(a,a)),join(meet(meet(a,a),meet(a,a)),meet(join(meet(meet(a,a),meet(a,a)),meet(a,a)),join(meet(meet(a,a),meet(a,a)),meet(meet(a,a),meet(a,a))))))),
inference(monotonicity,[status(thm)],[79]) ).
tff(81,plain,
( ~ ! [B: $i,A: $i] : ( join(meet(A,B),meet(B,join(A,B))) = B )
| ( join(meet(meet(meet(a,a),meet(a,a)),meet(join(meet(meet(a,a),meet(a,a)),meet(a,a)),join(meet(meet(a,a),meet(a,a)),meet(meet(a,a),meet(a,a))))),meet(meet(join(meet(meet(a,a),meet(a,a)),meet(a,a)),join(meet(meet(a,a),meet(a,a)),meet(meet(a,a),meet(a,a)))),join(meet(meet(a,a),meet(a,a)),meet(join(meet(meet(a,a),meet(a,a)),meet(a,a)),join(meet(meet(a,a),meet(a,a)),meet(meet(a,a),meet(a,a))))))) = meet(join(meet(meet(a,a),meet(a,a)),meet(a,a)),join(meet(meet(a,a),meet(a,a)),meet(meet(a,a),meet(a,a)))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(82,plain,
join(meet(meet(meet(a,a),meet(a,a)),meet(join(meet(meet(a,a),meet(a,a)),meet(a,a)),join(meet(meet(a,a),meet(a,a)),meet(meet(a,a),meet(a,a))))),meet(meet(join(meet(meet(a,a),meet(a,a)),meet(a,a)),join(meet(meet(a,a),meet(a,a)),meet(meet(a,a),meet(a,a)))),join(meet(meet(a,a),meet(a,a)),meet(join(meet(meet(a,a),meet(a,a)),meet(a,a)),join(meet(meet(a,a),meet(a,a)),meet(meet(a,a),meet(a,a))))))) = meet(join(meet(meet(a,a),meet(a,a)),meet(a,a)),join(meet(meet(a,a),meet(a,a)),meet(meet(a,a),meet(a,a)))),
inference(unit_resolution,[status(thm)],[81,7]) ).
tff(83,plain,
meet(join(meet(meet(a,a),meet(a,a)),meet(a,a)),join(meet(meet(a,a),meet(a,a)),meet(meet(a,a),meet(a,a)))) = join(meet(meet(meet(a,a),meet(a,a)),meet(join(meet(meet(a,a),meet(a,a)),meet(a,a)),join(meet(meet(a,a),meet(a,a)),meet(meet(a,a),meet(a,a))))),meet(meet(join(meet(meet(a,a),meet(a,a)),meet(a,a)),join(meet(meet(a,a),meet(a,a)),meet(meet(a,a),meet(a,a)))),join(meet(meet(a,a),meet(a,a)),meet(join(meet(meet(a,a),meet(a,a)),meet(a,a)),join(meet(meet(a,a),meet(a,a)),meet(meet(a,a),meet(a,a))))))),
inference(symmetry,[status(thm)],[82]) ).
tff(84,plain,
meet(join(meet(meet(a,a),meet(a,a)),meet(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(a,a))),join(meet(meet(a,a),meet(a,a)),meet(meet(a,a),meet(a,a)))) = meet(meet(a,a),meet(a,a)),
inference(transitivity,[status(thm)],[52,83,80,39]) ).
tff(85,plain,
meet(meet(meet(a,a),meet(a,a)),meet(meet(a,a),meet(a,a))) = meet(meet(a,a),meet(a,a)),
inference(transitivity,[status(thm)],[66,69]) ).
tff(86,plain,
join(meet(meet(meet(a,a),meet(a,a)),meet(meet(a,a),meet(a,a))),meet(join(meet(meet(a,a),meet(a,a)),meet(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(a,a))),join(meet(meet(a,a),meet(a,a)),meet(meet(a,a),meet(a,a))))) = join(meet(meet(a,a),meet(a,a)),meet(meet(a,a),meet(a,a))),
inference(monotonicity,[status(thm)],[85,84]) ).
tff(87,plain,
meet(meet(a,a),meet(a,a)) = join(meet(meet(meet(a,a),meet(a,a)),meet(meet(a,a),meet(a,a))),meet(join(meet(meet(a,a),meet(a,a)),meet(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(a,a))),join(meet(meet(a,a),meet(a,a)),meet(meet(a,a),meet(a,a))))),
inference(symmetry,[status(thm)],[48]) ).
tff(88,plain,
meet(meet(a,a),meet(a,a)) = join(meet(meet(a,a),meet(a,a)),meet(meet(a,a),meet(a,a))),
inference(transitivity,[status(thm)],[87,86]) ).
tff(89,plain,
join(meet(meet(a,a),meet(a,a)),meet(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(a,a))) = join(join(meet(meet(a,a),meet(a,a)),meet(meet(a,a),meet(a,a))),meet(a,a)),
inference(monotonicity,[status(thm)],[88,30]) ).
tff(90,plain,
join(meet(meet(a,a),meet(a,a)),meet(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(a,a))) = meet(a,a),
inference(transitivity,[status(thm)],[89,28]) ).
tff(91,plain,
join(join(meet(meet(a,a),meet(a,a)),meet(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(a,a))),meet(a,a)) = join(meet(a,a),meet(a,a)),
inference(monotonicity,[status(thm)],[90]) ).
tff(92,plain,
meet(a,a) = join(join(meet(meet(a,a),meet(a,a)),meet(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(a,a))),meet(a,a)),
inference(symmetry,[status(thm)],[57]) ).
tff(93,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( join(join(meet(A,B),meet(C,A)),A) = A )
| ( join(join(meet(a,a),meet(a,a)),a) = a ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(94,plain,
join(join(meet(a,a),meet(a,a)),a) = a,
inference(unit_resolution,[status(thm)],[93,26]) ).
tff(95,plain,
meet(a,join(join(meet(a,a),meet(a,a)),a)) = meet(a,a),
inference(monotonicity,[status(thm)],[94]) ).
tff(96,plain,
meet(a,join(join(meet(a,a),meet(a,a)),a)) = meet(meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))),
inference(transitivity,[status(thm)],[95,92,91,19]) ).
tff(97,plain,
join(meet(join(meet(a,a),meet(a,a)),a),meet(a,join(join(meet(a,a),meet(a,a)),a))) = join(meet(join(meet(a,a),meet(a,a)),a),meet(meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))),
inference(monotonicity,[status(thm)],[96]) ).
tff(98,plain,
join(meet(join(meet(a,a),meet(a,a)),a),meet(meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))) = join(meet(join(meet(a,a),meet(a,a)),a),meet(a,join(join(meet(a,a),meet(a,a)),a))),
inference(symmetry,[status(thm)],[97]) ).
tff(99,plain,
join(meet(a,a),meet(a,a)) = join(join(meet(meet(a,a),meet(a,a)),meet(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(a,a))),meet(a,a)),
inference(symmetry,[status(thm)],[91]) ).
tff(100,plain,
join(meet(a,a),meet(a,a)) = meet(a,a),
inference(transitivity,[status(thm)],[99,57]) ).
tff(101,plain,
meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))) = meet(meet(a,a),meet(a,a)),
inference(monotonicity,[status(thm)],[100,100]) ).
tff(102,plain,
meet(meet(a,a),meet(a,a)) = meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),
inference(symmetry,[status(thm)],[101]) ).
tff(103,plain,
join(meet(meet(a,a),meet(a,a)),meet(meet(a,a),meet(a,a))) = join(meet(meet(meet(a,a),meet(a,a)),meet(meet(a,a),meet(a,a))),meet(join(meet(meet(a,a),meet(a,a)),meet(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(a,a))),join(meet(meet(a,a),meet(a,a)),meet(meet(a,a),meet(a,a))))),
inference(symmetry,[status(thm)],[86]) ).
tff(104,plain,
meet(join(meet(meet(a,a),meet(a,a)),meet(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(a,a))),meet(a,a)) = meet(meet(a,a),meet(a,a)),
inference(monotonicity,[status(thm)],[90]) ).
tff(105,plain,
meet(meet(a,a),meet(a,a)) = meet(join(meet(meet(a,a),meet(a,a)),meet(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(a,a))),meet(a,a)),
inference(symmetry,[status(thm)],[104]) ).
tff(106,plain,
join(meet(meet(a,a),meet(a,a)),meet(meet(a,a),meet(a,a))) = join(meet(join(meet(meet(a,a),meet(a,a)),meet(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(a,a))),meet(a,a)),meet(meet(a,a),join(join(meet(meet(a,a),meet(a,a)),meet(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(a,a))),meet(a,a)))),
inference(monotonicity,[status(thm)],[105,59]) ).
tff(107,plain,
join(meet(join(meet(meet(a,a),meet(a,a)),meet(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(a,a))),meet(a,a)),meet(meet(a,a),join(join(meet(meet(a,a),meet(a,a)),meet(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(a,a))),meet(a,a)))) = join(meet(meet(a,a),meet(a,a)),meet(meet(a,a),meet(a,a))),
inference(symmetry,[status(thm)],[106]) ).
tff(108,plain,
meet(a,a) = join(meet(join(meet(meet(a,a),meet(a,a)),meet(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(a,a))),meet(a,a)),meet(meet(a,a),join(join(meet(meet(a,a),meet(a,a)),meet(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(a,a))),meet(a,a)))),
inference(symmetry,[status(thm)],[55]) ).
tff(109,plain,
meet(meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))) = meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),
inference(transitivity,[status(thm)],[18,99,57,108,107,103,48,102]) ).
tff(110,plain,
join(meet(join(meet(a,a),meet(a,a)),a),meet(meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))) = join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),
inference(monotonicity,[status(thm)],[109]) ).
tff(111,plain,
join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))) = join(meet(join(meet(a,a),meet(a,a)),a),meet(meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))),
inference(symmetry,[status(thm)],[110]) ).
tff(112,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( join(join(meet(A,B),meet(C,A)),A) = A )
| ( join(join(meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))),meet(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))))),join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))))) = join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(113,plain,
join(join(meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))),meet(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))))),join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))))) = join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),
inference(unit_resolution,[status(thm)],[112,26]) ).
tff(114,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( meet(meet(join(A,B),join(C,A)),A) = A )
| ( meet(meet(join(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(join(meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(join(meet(a,a),meet(a,a)),a))),meet(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))))),join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))))),join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))))) = join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(115,plain,
meet(meet(join(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(join(meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(join(meet(a,a),meet(a,a)),a))),meet(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))))),join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))))),join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))))) = join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),
inference(unit_resolution,[status(thm)],[114,16]) ).
tff(116,plain,
join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))) = meet(meet(join(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(join(meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(join(meet(a,a),meet(a,a)),a))),meet(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))))),join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))))),join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))))),
inference(symmetry,[status(thm)],[115]) ).
tff(117,plain,
( ~ ! [B: $i,A: $i] : ( join(meet(A,A),meet(B,join(A,A))) = A )
| ( join(meet(meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))),meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))),meet(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))),meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))))) = meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(118,plain,
join(meet(meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))),meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))),meet(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))),meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))))) = meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))),
inference(unit_resolution,[status(thm)],[117,46]) ).
tff(119,plain,
( ~ ! [B: $i,A: $i] : ( join(meet(A,B),meet(A,join(A,B))) = A )
| ( join(meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))),meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))))) = join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(120,plain,
join(meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))),meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))))) = join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),
inference(unit_resolution,[status(thm)],[119,37]) ).
tff(121,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( join(join(meet(A,B),meet(C,A)),A) = A )
| ( join(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))) = join(meet(a,a),meet(a,a)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(122,plain,
join(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))) = join(meet(a,a),meet(a,a)),
inference(unit_resolution,[status(thm)],[121,26]) ).
tff(123,plain,
meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))) = meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))),
inference(monotonicity,[status(thm)],[122]) ).
tff(124,plain,
meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))) = meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))),
inference(symmetry,[status(thm)],[123]) ).
tff(125,plain,
join(meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))),meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))) = join(meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))),meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))))),
inference(monotonicity,[status(thm)],[124]) ).
tff(126,plain,
join(meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))),meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))) = join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),
inference(transitivity,[status(thm)],[125,120]) ).
tff(127,plain,
meet(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))),meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))))) = meet(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))))),
inference(monotonicity,[status(thm)],[126]) ).
tff(128,plain,
meet(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))))) = meet(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))),meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))))),
inference(symmetry,[status(thm)],[127]) ).
tff(129,plain,
( ~ ! [B: $i,A: $i] : ( join(meet(A,A),meet(B,join(A,A))) = A )
| ( join(meet(meet(a,a),meet(a,a)),meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))) = meet(a,a) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(130,plain,
join(meet(meet(a,a),meet(a,a)),meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))) = meet(a,a),
inference(unit_resolution,[status(thm)],[129,46]) ).
tff(131,plain,
join(meet(meet(a,a),meet(a,a)),meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))) = join(meet(a,a),meet(a,a)),
inference(transitivity,[status(thm)],[130,92,91]) ).
tff(132,plain,
meet(join(meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))),meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))),join(meet(meet(a,a),meet(a,a)),meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))))) = meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))),
inference(monotonicity,[status(thm)],[126,131]) ).
tff(133,plain,
meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))) = meet(join(meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))),meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))),join(meet(meet(a,a),meet(a,a)),meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))))),
inference(symmetry,[status(thm)],[132]) ).
tff(134,plain,
meet(meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))),meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))) = meet(meet(join(meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))),meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))),join(meet(meet(a,a),meet(a,a)),meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))))),meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))),
inference(monotonicity,[status(thm)],[133]) ).
tff(135,plain,
meet(meet(join(meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))),meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))),join(meet(meet(a,a),meet(a,a)),meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))))),meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))) = meet(meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))),meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))),
inference(symmetry,[status(thm)],[134]) ).
tff(136,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( meet(meet(join(A,B),join(C,A)),A) = A )
| ( meet(meet(join(meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))),meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))),join(meet(meet(a,a),meet(a,a)),meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))))),meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))) = meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(137,plain,
meet(meet(join(meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))),meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))),join(meet(meet(a,a),meet(a,a)),meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))))),meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))) = meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))),
inference(unit_resolution,[status(thm)],[136,16]) ).
tff(138,plain,
meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))) = meet(meet(join(meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))),meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))),join(meet(meet(a,a),meet(a,a)),meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))))),meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))),
inference(symmetry,[status(thm)],[137]) ).
tff(139,plain,
meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))) = meet(meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))),meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))),
inference(transitivity,[status(thm)],[138,135]) ).
tff(140,plain,
join(meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))),meet(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))))) = join(meet(meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))),meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))),meet(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))),meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))))),
inference(monotonicity,[status(thm)],[139,128]) ).
tff(141,plain,
join(meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))),meet(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))))) = meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))),
inference(transitivity,[status(thm)],[140,118]) ).
tff(142,plain,
join(join(meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))),meet(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))))),join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))))) = join(meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))),meet(meet(join(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(join(meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(join(meet(a,a),meet(a,a)),a))),meet(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))))),join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))))),join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))))),
inference(monotonicity,[status(thm)],[141,116]) ).
tff(143,plain,
join(meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))),meet(meet(join(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(join(meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(join(meet(a,a),meet(a,a)),a))),meet(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))))),join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))))),join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))))) = join(join(meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))),meet(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))))),join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))))),
inference(symmetry,[status(thm)],[142]) ).
tff(144,plain,
meet(meet(join(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(join(meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(join(meet(a,a),meet(a,a)),a))),meet(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))))),join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))))),join(meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))),meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))))) = meet(meet(join(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(join(meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(join(meet(a,a),meet(a,a)),a))),meet(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))))),join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))))),join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))))),
inference(monotonicity,[status(thm)],[126]) ).
tff(145,plain,
meet(meet(join(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(join(meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(join(meet(a,a),meet(a,a)),a))),meet(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))))),join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))))),join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))))) = meet(meet(join(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(join(meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(join(meet(a,a),meet(a,a)),a))),meet(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))))),join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))))),join(meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))),meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))))),
inference(symmetry,[status(thm)],[144]) ).
tff(146,plain,
join(meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))),meet(meet(join(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(join(meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(join(meet(a,a),meet(a,a)),a))),meet(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))))),join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))))),join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))))) = join(meet(meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))),meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))),meet(meet(join(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(join(meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(join(meet(a,a),meet(a,a)),a))),meet(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))))),join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))))),join(meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))),meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))))),
inference(monotonicity,[status(thm)],[139,145]) ).
tff(147,plain,
join(meet(meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))),meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))),meet(meet(join(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(join(meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(join(meet(a,a),meet(a,a)),a))),meet(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))))),join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))))),join(meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))),meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))))) = join(meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))),meet(meet(join(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(join(meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(join(meet(a,a),meet(a,a)),a))),meet(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))))),join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))))),join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))))),
inference(symmetry,[status(thm)],[146]) ).
tff(148,plain,
( ~ ! [B: $i,A: $i] : ( join(meet(A,A),meet(B,join(A,A))) = A )
| ( join(meet(meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))),meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))),meet(meet(join(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(join(meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(join(meet(a,a),meet(a,a)),a))),meet(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))))),join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))))),join(meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))),meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))))) = meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(149,plain,
join(meet(meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))),meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))),meet(meet(join(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(join(meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(join(meet(a,a),meet(a,a)),a))),meet(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))))),join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))))),join(meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))),meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))))) = meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))),
inference(unit_resolution,[status(thm)],[148,46]) ).
tff(150,plain,
meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))) = join(meet(meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))),meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))),meet(meet(join(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(join(meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(join(meet(a,a),meet(a,a)),a))),meet(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))))),join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))))),join(meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))),meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))))),
inference(symmetry,[status(thm)],[149]) ).
tff(151,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( join(join(meet(A,B),meet(C,A)),A) = A )
| ( join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))) = join(meet(a,a),meet(a,a)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(152,plain,
join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))) = join(meet(a,a),meet(a,a)),
inference(unit_resolution,[status(thm)],[151,26]) ).
tff(153,plain,
join(meet(a,a),meet(a,a)) = join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))),
inference(symmetry,[status(thm)],[152]) ).
tff(154,plain,
a = join(join(meet(a,a),meet(a,a)),a),
inference(symmetry,[status(thm)],[94]) ).
tff(155,plain,
join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))) = join(join(meet(a,a),meet(a,a)),a),
inference(transitivity,[status(thm)],[111,98,9,154]) ).
tff(156,plain,
meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))) = meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))),
inference(monotonicity,[status(thm)],[155,153]) ).
tff(157,plain,
meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))) = meet(join(meet(join(meet(a,a),meet(a,a)),a),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))),
inference(symmetry,[status(thm)],[156]) ).
tff(158,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( join(join(meet(A,B),meet(C,A)),A) = A )
| ( join(join(meet(meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))),meet(meet(join(meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))),meet(a,a)),join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))))),meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))))),meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))))) = meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(159,plain,
join(join(meet(meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))),meet(meet(join(meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))),meet(a,a)),join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))))),meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))))),meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))))) = meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))),
inference(unit_resolution,[status(thm)],[158,26]) ).
tff(160,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( meet(meet(join(A,B),join(C,A)),A) = A )
| ( meet(meet(join(meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))),meet(a,a)),join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))))),meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))))) = meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(161,plain,
meet(meet(join(meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))),meet(a,a)),join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))))),meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))))) = meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))),
inference(unit_resolution,[status(thm)],[160,16]) ).
tff(162,plain,
meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))) = meet(meet(join(meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))),meet(a,a)),join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))))),meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))))),
inference(symmetry,[status(thm)],[161]) ).
tff(163,plain,
( ~ ! [B: $i,A: $i] : ( join(meet(A,A),meet(B,join(A,A))) = A )
| ( join(meet(meet(a,a),meet(a,a)),meet(a,join(meet(a,a),meet(a,a)))) = meet(a,a) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(164,plain,
join(meet(meet(a,a),meet(a,a)),meet(a,join(meet(a,a),meet(a,a)))) = meet(a,a),
inference(unit_resolution,[status(thm)],[163,46]) ).
tff(165,plain,
join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(a,join(meet(a,a),meet(a,a)))) = join(meet(meet(a,a),meet(a,a)),meet(a,join(meet(a,a),meet(a,a)))),
inference(monotonicity,[status(thm)],[101]) ).
tff(166,plain,
meet(a,join(meet(a,a),meet(a,a))) = meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))),
inference(monotonicity,[status(thm)],[154,153]) ).
tff(167,plain,
meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))) = meet(a,join(meet(a,a),meet(a,a))),
inference(symmetry,[status(thm)],[166]) ).
tff(168,plain,
meet(meet(join(meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))),meet(a,a)),join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))))),meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))))) = meet(a,join(meet(a,a),meet(a,a))),
inference(transitivity,[status(thm)],[161,167]) ).
tff(169,plain,
join(meet(meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))),meet(meet(join(meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))),meet(a,a)),join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))))),meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))))) = join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(a,join(meet(a,a),meet(a,a)))),
inference(monotonicity,[status(thm)],[109,168]) ).
tff(170,plain,
join(meet(meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))),meet(meet(join(meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))),meet(a,a)),join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))))),meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))))) = meet(meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))),
inference(transitivity,[status(thm)],[169,165,164,92,91,19]) ).
tff(171,plain,
join(join(meet(meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))),meet(meet(join(meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))),meet(a,a)),join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))))),meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))))),meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))))) = join(meet(meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))),meet(meet(join(meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))),meet(a,a)),join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))))),meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))))),
inference(monotonicity,[status(thm)],[170,162]) ).
tff(172,plain,
join(meet(meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))),meet(meet(join(meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))),meet(a,a)),join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))))),meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))))) = join(join(meet(meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))),meet(meet(join(meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))),meet(a,a)),join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))))),meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))))),meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))))),
inference(symmetry,[status(thm)],[171]) ).
tff(173,plain,
join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(a,join(meet(a,a),meet(a,a)))) = join(meet(meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a))),meet(meet(join(meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))),meet(a,a)),join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))))),meet(join(join(meet(a,a),meet(a,a)),a),join(join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a)))),join(meet(a,a),meet(a,a)))))),
inference(symmetry,[status(thm)],[169]) ).
tff(174,plain,
join(meet(meet(a,a),meet(a,a)),meet(a,join(meet(a,a),meet(a,a)))) = join(meet(join(meet(a,a),meet(a,a)),join(meet(a,a),meet(a,a))),meet(a,join(meet(a,a),meet(a,a)))),
inference(symmetry,[status(thm)],[165]) ).
tff(175,plain,
meet(a,a) = join(meet(meet(a,a),meet(a,a)),meet(a,join(meet(a,a),meet(a,a)))),
inference(symmetry,[status(thm)],[164]) ).
tff(176,plain,
meet(a,a) = a,
inference(transitivity,[status(thm)],[175,174,173,172,159,157,150,147,143,113,111,98,9]) ).
tff(177,plain,
( ( meet(a,a) != a )
<=> ( meet(a,a) != a ) ),
inference(rewrite,[status(thm)],[]) ).
tff(178,axiom,
meet(a,a) != a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_normal_axioms_1) ).
tff(179,plain,
meet(a,a) != a,
inference(modus_ponens,[status(thm)],[178,177]) ).
tff(180,plain,
$false,
inference(unit_resolution,[status(thm)],[179,176]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT088-1 : TPTP v9.0.0. Released v2.6.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n007.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Jun 19 19:33:49 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.47/0.65 % SZS status Unsatisfiable
% 0.47/0.65 % SZS output start Proof
% See solution above
% 0.51/0.73 % E exiting
%------------------------------------------------------------------------------