%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : LAT171-1 : TPTP v9.0.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jun 21 05:13:56 AM UTC 2025
% Result : Unsatisfiable 0.24s 0.50s
% Output : Proof 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 35
% Syntax : Number of formulae : 102 ( 75 unt; 0 typ; 0 def)
% Number of atoms : 143 ( 135 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 50 ( 16 ~; 12 |; 0 &)
% ( 22 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of FOOLs : 7 ( 7 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 181 ( 164 !; 0 ?; 181 :)
% Comments :
%------------------------------------------------------------------------------
tff(meet_type,type,
meet: ( $i * $i ) > $i ).
tff(join_type,type,
join: ( $i * $i ) > $i ).
tff(b_type,type,
b: $i ).
tff(a_type,type,
a: $i ).
tff(c_type,type,
c: $i ).
tff(1,plain,
^ [Y: $i,X: $i] :
refl(( ( meet(X,Y) = meet(Y,X) )
<=> ( meet(X,Y) = meet(Y,X) ) )),
inference(bind,[status(th)],[]) ).
tff(2,plain,
( ! [Y: $i,X: $i] : ( meet(X,Y) = meet(Y,X) )
<=> ! [Y: $i,X: $i] : ( meet(X,Y) = meet(Y,X) ) ),
inference(quant_intro,[status(thm)],[1]) ).
tff(3,plain,
( ! [Y: $i,X: $i] : ( meet(X,Y) = meet(Y,X) )
<=> ! [Y: $i,X: $i] : ( meet(X,Y) = meet(Y,X) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(4,axiom,
! [Y: $i,X: $i] : ( meet(X,Y) = meet(Y,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',commutativity_of_meet) ).
tff(5,plain,
! [Y: $i,X: $i] : ( meet(X,Y) = meet(Y,X) ),
inference(modus_ponens,[status(thm)],[4,3]) ).
tff(6,plain,
! [Y: $i,X: $i] : ( meet(X,Y) = meet(Y,X) ),
inference(skolemize,[status(sab)],[5]) ).
tff(7,plain,
! [Y: $i,X: $i] : ( meet(X,Y) = meet(Y,X) ),
inference(modus_ponens,[status(thm)],[6,2]) ).
tff(8,plain,
( ~ ! [Y: $i,X: $i] : ( meet(X,Y) = meet(Y,X) )
| ( meet(join(a,b),c) = meet(c,join(a,b)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(9,plain,
meet(join(a,b),c) = meet(c,join(a,b)),
inference(unit_resolution,[status(thm)],[8,7]) ).
tff(10,plain,
^ [Y: $i,X: $i] :
refl(( ( join(X,meet(X,Y)) = X )
<=> ( join(X,meet(X,Y)) = X ) )),
inference(bind,[status(th)],[]) ).
tff(11,plain,
( ! [Y: $i,X: $i] : ( join(X,meet(X,Y)) = X )
<=> ! [Y: $i,X: $i] : ( join(X,meet(X,Y)) = X ) ),
inference(quant_intro,[status(thm)],[10]) ).
tff(12,plain,
( ! [Y: $i,X: $i] : ( join(X,meet(X,Y)) = X )
<=> ! [Y: $i,X: $i] : ( join(X,meet(X,Y)) = X ) ),
inference(rewrite,[status(thm)],[]) ).
tff(13,axiom,
! [Y: $i,X: $i] : ( join(X,meet(X,Y)) = X ),
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',absorption2) ).
tff(14,plain,
! [Y: $i,X: $i] : ( join(X,meet(X,Y)) = X ),
inference(modus_ponens,[status(thm)],[13,12]) ).
tff(15,plain,
! [Y: $i,X: $i] : ( join(X,meet(X,Y)) = X ),
inference(skolemize,[status(sab)],[14]) ).
tff(16,plain,
! [Y: $i,X: $i] : ( join(X,meet(X,Y)) = X ),
inference(modus_ponens,[status(thm)],[15,11]) ).
tff(17,plain,
( ~ ! [Y: $i,X: $i] : ( join(X,meet(X,Y)) = X )
| ( join(a,meet(a,c)) = a ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(18,plain,
join(a,meet(a,c)) = a,
inference(unit_resolution,[status(thm)],[17,16]) ).
tff(19,plain,
join(join(a,meet(a,c)),b) = join(a,b),
inference(monotonicity,[status(thm)],[18]) ).
tff(20,plain,
^ [Z: $i,Y: $i,X: $i] :
refl(( ( join(join(X,Y),Z) = join(X,join(Y,Z)) )
<=> ( join(join(X,Y),Z) = join(X,join(Y,Z)) ) )),
inference(bind,[status(th)],[]) ).
tff(21,plain,
( ! [Z: $i,Y: $i,X: $i] : ( join(join(X,Y),Z) = join(X,join(Y,Z)) )
<=> ! [Z: $i,Y: $i,X: $i] : ( join(join(X,Y),Z) = join(X,join(Y,Z)) ) ),
inference(quant_intro,[status(thm)],[20]) ).
tff(22,plain,
( ! [Z: $i,Y: $i,X: $i] : ( join(join(X,Y),Z) = join(X,join(Y,Z)) )
<=> ! [Z: $i,Y: $i,X: $i] : ( join(join(X,Y),Z) = join(X,join(Y,Z)) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(23,axiom,
! [Z: $i,Y: $i,X: $i] : ( join(join(X,Y),Z) = join(X,join(Y,Z)) ),
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',associativity_of_join) ).
tff(24,plain,
! [Z: $i,Y: $i,X: $i] : ( join(join(X,Y),Z) = join(X,join(Y,Z)) ),
inference(modus_ponens,[status(thm)],[23,22]) ).
tff(25,plain,
! [Z: $i,Y: $i,X: $i] : ( join(join(X,Y),Z) = join(X,join(Y,Z)) ),
inference(skolemize,[status(sab)],[24]) ).
tff(26,plain,
! [Z: $i,Y: $i,X: $i] : ( join(join(X,Y),Z) = join(X,join(Y,Z)) ),
inference(modus_ponens,[status(thm)],[25,21]) ).
tff(27,plain,
( ~ ! [Z: $i,Y: $i,X: $i] : ( join(join(X,Y),Z) = join(X,join(Y,Z)) )
| ( join(join(a,meet(a,c)),b) = join(a,join(meet(a,c),b)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(28,plain,
join(join(a,meet(a,c)),b) = join(a,join(meet(a,c),b)),
inference(unit_resolution,[status(thm)],[27,26]) ).
tff(29,plain,
join(a,join(meet(a,c),b)) = join(join(a,meet(a,c)),b),
inference(symmetry,[status(thm)],[28]) ).
tff(30,plain,
^ [Y: $i,X: $i] :
refl(( ( join(X,Y) = join(Y,X) )
<=> ( join(X,Y) = join(Y,X) ) )),
inference(bind,[status(th)],[]) ).
tff(31,plain,
( ! [Y: $i,X: $i] : ( join(X,Y) = join(Y,X) )
<=> ! [Y: $i,X: $i] : ( join(X,Y) = join(Y,X) ) ),
inference(quant_intro,[status(thm)],[30]) ).
tff(32,plain,
( ! [Y: $i,X: $i] : ( join(X,Y) = join(Y,X) )
<=> ! [Y: $i,X: $i] : ( join(X,Y) = join(Y,X) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(33,axiom,
! [Y: $i,X: $i] : ( join(X,Y) = join(Y,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',commutativity_of_join) ).
tff(34,plain,
! [Y: $i,X: $i] : ( join(X,Y) = join(Y,X) ),
inference(modus_ponens,[status(thm)],[33,32]) ).
tff(35,plain,
! [Y: $i,X: $i] : ( join(X,Y) = join(Y,X) ),
inference(skolemize,[status(sab)],[34]) ).
tff(36,plain,
! [Y: $i,X: $i] : ( join(X,Y) = join(Y,X) ),
inference(modus_ponens,[status(thm)],[35,31]) ).
tff(37,plain,
( ~ ! [Y: $i,X: $i] : ( join(X,Y) = join(Y,X) )
| ( join(meet(a,c),b) = join(b,meet(a,c)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(38,plain,
join(meet(a,c),b) = join(b,meet(a,c)),
inference(unit_resolution,[status(thm)],[37,36]) ).
tff(39,plain,
join(b,meet(a,c)) = join(meet(a,c),b),
inference(symmetry,[status(thm)],[38]) ).
tff(40,plain,
join(a,join(b,meet(a,c))) = join(a,join(meet(a,c),b)),
inference(monotonicity,[status(thm)],[39]) ).
tff(41,plain,
join(a,join(b,meet(a,c))) = join(a,b),
inference(transitivity,[status(thm)],[40,29,19]) ).
tff(42,plain,
meet(join(a,join(b,meet(a,c))),c) = meet(join(a,b),c),
inference(monotonicity,[status(thm)],[41]) ).
tff(43,plain,
meet(join(a,join(b,meet(a,c))),c) = meet(c,join(a,b)),
inference(transitivity,[status(thm)],[42,9]) ).
tff(44,plain,
join(meet(a,join(b,meet(a,c))),meet(join(a,join(b,meet(a,c))),c)) = join(meet(a,join(b,meet(a,c))),meet(c,join(a,b))),
inference(monotonicity,[status(thm)],[43]) ).
tff(45,plain,
join(meet(a,join(b,meet(a,c))),meet(c,join(a,b))) = join(meet(a,join(b,meet(a,c))),meet(join(a,join(b,meet(a,c))),c)),
inference(symmetry,[status(thm)],[44]) ).
tff(46,plain,
meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(a,b)))) = meet(a,join(meet(a,join(b,meet(a,c))),meet(join(a,join(b,meet(a,c))),c))),
inference(monotonicity,[status(thm)],[45]) ).
tff(47,plain,
meet(a,join(meet(a,join(b,meet(a,c))),meet(join(a,join(b,meet(a,c))),c))) = meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(a,b)))),
inference(symmetry,[status(thm)],[46]) ).
tff(48,plain,
^ [Z: $i,Y: $i,X: $i] :
refl(( ( join(meet(X,Y),meet(X,Z)) = meet(X,join(meet(X,Y),meet(join(X,Y),Z))) )
<=> ( join(meet(X,Y),meet(X,Z)) = meet(X,join(meet(X,Y),meet(join(X,Y),Z))) ) )),
inference(bind,[status(th)],[]) ).
tff(49,plain,
( ! [Z: $i,Y: $i,X: $i] : ( join(meet(X,Y),meet(X,Z)) = meet(X,join(meet(X,Y),meet(join(X,Y),Z))) )
<=> ! [Z: $i,Y: $i,X: $i] : ( join(meet(X,Y),meet(X,Z)) = meet(X,join(meet(X,Y),meet(join(X,Y),Z))) ) ),
inference(quant_intro,[status(thm)],[48]) ).
tff(50,plain,
( ! [Z: $i,Y: $i,X: $i] : ( join(meet(X,Y),meet(X,Z)) = meet(X,join(meet(X,Y),meet(join(X,Y),Z))) )
<=> ! [Z: $i,Y: $i,X: $i] : ( join(meet(X,Y),meet(X,Z)) = meet(X,join(meet(X,Y),meet(join(X,Y),Z))) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(51,axiom,
! [Z: $i,Y: $i,X: $i] : ( join(meet(X,Y),meet(X,Z)) = meet(X,join(meet(X,Y),meet(join(X,Y),Z))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equation_H61_dual) ).
tff(52,plain,
! [Z: $i,Y: $i,X: $i] : ( join(meet(X,Y),meet(X,Z)) = meet(X,join(meet(X,Y),meet(join(X,Y),Z))) ),
inference(modus_ponens,[status(thm)],[51,50]) ).
tff(53,plain,
! [Z: $i,Y: $i,X: $i] : ( join(meet(X,Y),meet(X,Z)) = meet(X,join(meet(X,Y),meet(join(X,Y),Z))) ),
inference(skolemize,[status(sab)],[52]) ).
tff(54,plain,
! [Z: $i,Y: $i,X: $i] : ( join(meet(X,Y),meet(X,Z)) = meet(X,join(meet(X,Y),meet(join(X,Y),Z))) ),
inference(modus_ponens,[status(thm)],[53,49]) ).
tff(55,plain,
( ~ ! [Z: $i,Y: $i,X: $i] : ( join(meet(X,Y),meet(X,Z)) = meet(X,join(meet(X,Y),meet(join(X,Y),Z))) )
| ( join(meet(a,join(b,meet(a,c))),meet(a,c)) = meet(a,join(meet(a,join(b,meet(a,c))),meet(join(a,join(b,meet(a,c))),c))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(56,plain,
join(meet(a,join(b,meet(a,c))),meet(a,c)) = meet(a,join(meet(a,join(b,meet(a,c))),meet(join(a,join(b,meet(a,c))),c))),
inference(unit_resolution,[status(thm)],[55,54]) ).
tff(57,plain,
( ~ ! [Y: $i,X: $i] : ( meet(X,Y) = meet(Y,X) )
| ( meet(meet(c,join(a,b)),meet(a,join(b,meet(a,c)))) = meet(meet(a,join(b,meet(a,c))),meet(c,join(a,b))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(58,plain,
meet(meet(c,join(a,b)),meet(a,join(b,meet(a,c)))) = meet(meet(a,join(b,meet(a,c))),meet(c,join(a,b))),
inference(unit_resolution,[status(thm)],[57,7]) ).
tff(59,plain,
^ [Z: $i,Y: $i,X: $i] :
refl(( ( meet(meet(X,Y),Z) = meet(X,meet(Y,Z)) )
<=> ( meet(meet(X,Y),Z) = meet(X,meet(Y,Z)) ) )),
inference(bind,[status(th)],[]) ).
tff(60,plain,
( ! [Z: $i,Y: $i,X: $i] : ( meet(meet(X,Y),Z) = meet(X,meet(Y,Z)) )
<=> ! [Z: $i,Y: $i,X: $i] : ( meet(meet(X,Y),Z) = meet(X,meet(Y,Z)) ) ),
inference(quant_intro,[status(thm)],[59]) ).
tff(61,plain,
( ! [Z: $i,Y: $i,X: $i] : ( meet(meet(X,Y),Z) = meet(X,meet(Y,Z)) )
<=> ! [Z: $i,Y: $i,X: $i] : ( meet(meet(X,Y),Z) = meet(X,meet(Y,Z)) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(62,axiom,
! [Z: $i,Y: $i,X: $i] : ( meet(meet(X,Y),Z) = meet(X,meet(Y,Z)) ),
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',associativity_of_meet) ).
tff(63,plain,
! [Z: $i,Y: $i,X: $i] : ( meet(meet(X,Y),Z) = meet(X,meet(Y,Z)) ),
inference(modus_ponens,[status(thm)],[62,61]) ).
tff(64,plain,
! [Z: $i,Y: $i,X: $i] : ( meet(meet(X,Y),Z) = meet(X,meet(Y,Z)) ),
inference(skolemize,[status(sab)],[63]) ).
tff(65,plain,
! [Z: $i,Y: $i,X: $i] : ( meet(meet(X,Y),Z) = meet(X,meet(Y,Z)) ),
inference(modus_ponens,[status(thm)],[64,60]) ).
tff(66,plain,
( ~ ! [Z: $i,Y: $i,X: $i] : ( meet(meet(X,Y),Z) = meet(X,meet(Y,Z)) )
| ( meet(meet(meet(c,join(a,b)),a),join(b,meet(a,c))) = meet(meet(c,join(a,b)),meet(a,join(b,meet(a,c)))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(67,plain,
meet(meet(meet(c,join(a,b)),a),join(b,meet(a,c))) = meet(meet(c,join(a,b)),meet(a,join(b,meet(a,c)))),
inference(unit_resolution,[status(thm)],[66,65]) ).
tff(68,plain,
^ [Y: $i,X: $i] :
refl(( ( meet(X,join(X,Y)) = X )
<=> ( meet(X,join(X,Y)) = X ) )),
inference(bind,[status(th)],[]) ).
tff(69,plain,
( ! [Y: $i,X: $i] : ( meet(X,join(X,Y)) = X )
<=> ! [Y: $i,X: $i] : ( meet(X,join(X,Y)) = X ) ),
inference(quant_intro,[status(thm)],[68]) ).
tff(70,plain,
( ! [Y: $i,X: $i] : ( meet(X,join(X,Y)) = X )
<=> ! [Y: $i,X: $i] : ( meet(X,join(X,Y)) = X ) ),
inference(rewrite,[status(thm)],[]) ).
tff(71,axiom,
! [Y: $i,X: $i] : ( meet(X,join(X,Y)) = X ),
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',absorption1) ).
tff(72,plain,
! [Y: $i,X: $i] : ( meet(X,join(X,Y)) = X ),
inference(modus_ponens,[status(thm)],[71,70]) ).
tff(73,plain,
! [Y: $i,X: $i] : ( meet(X,join(X,Y)) = X ),
inference(skolemize,[status(sab)],[72]) ).
tff(74,plain,
! [Y: $i,X: $i] : ( meet(X,join(X,Y)) = X ),
inference(modus_ponens,[status(thm)],[73,69]) ).
tff(75,plain,
( ~ ! [Y: $i,X: $i] : ( meet(X,join(X,Y)) = X )
| ( meet(a,join(a,b)) = a ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(76,plain,
meet(a,join(a,b)) = a,
inference(unit_resolution,[status(thm)],[75,74]) ).
tff(77,plain,
meet(meet(a,join(a,b)),c) = meet(a,c),
inference(monotonicity,[status(thm)],[76]) ).
tff(78,plain,
( ~ ! [Z: $i,Y: $i,X: $i] : ( meet(meet(X,Y),Z) = meet(X,meet(Y,Z)) )
| ( meet(meet(a,join(a,b)),c) = meet(a,meet(join(a,b),c)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(79,plain,
meet(meet(a,join(a,b)),c) = meet(a,meet(join(a,b),c)),
inference(unit_resolution,[status(thm)],[78,65]) ).
tff(80,plain,
meet(a,meet(join(a,b),c)) = meet(meet(a,join(a,b)),c),
inference(symmetry,[status(thm)],[79]) ).
tff(81,plain,
meet(c,join(a,b)) = meet(join(a,b),c),
inference(symmetry,[status(thm)],[9]) ).
tff(82,plain,
meet(a,meet(c,join(a,b))) = meet(a,meet(join(a,b),c)),
inference(monotonicity,[status(thm)],[81]) ).
tff(83,plain,
( ~ ! [Y: $i,X: $i] : ( meet(X,Y) = meet(Y,X) )
| ( meet(a,meet(c,join(a,b))) = meet(meet(c,join(a,b)),a) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(84,plain,
meet(a,meet(c,join(a,b))) = meet(meet(c,join(a,b)),a),
inference(unit_resolution,[status(thm)],[83,7]) ).
tff(85,plain,
meet(meet(c,join(a,b)),a) = meet(a,meet(c,join(a,b))),
inference(symmetry,[status(thm)],[84]) ).
tff(86,plain,
meet(meet(c,join(a,b)),a) = meet(a,c),
inference(transitivity,[status(thm)],[85,82,80,77]) ).
tff(87,plain,
meet(meet(meet(c,join(a,b)),a),join(b,meet(a,c))) = meet(meet(a,c),join(meet(a,c),b)),
inference(monotonicity,[status(thm)],[86,39]) ).
tff(88,plain,
meet(meet(a,c),join(meet(a,c),b)) = meet(meet(meet(c,join(a,b)),a),join(b,meet(a,c))),
inference(symmetry,[status(thm)],[87]) ).
tff(89,plain,
( ~ ! [Y: $i,X: $i] : ( meet(X,join(X,Y)) = X )
| ( meet(meet(a,c),join(meet(a,c),b)) = meet(a,c) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(90,plain,
meet(meet(a,c),join(meet(a,c),b)) = meet(a,c),
inference(unit_resolution,[status(thm)],[89,74]) ).
tff(91,plain,
meet(a,c) = meet(meet(a,c),join(meet(a,c),b)),
inference(symmetry,[status(thm)],[90]) ).
tff(92,plain,
meet(a,c) = meet(meet(a,join(b,meet(a,c))),meet(c,join(a,b))),
inference(transitivity,[status(thm)],[91,88,67,58]) ).
tff(93,plain,
join(meet(a,join(b,meet(a,c))),meet(a,c)) = join(meet(a,join(b,meet(a,c))),meet(meet(a,join(b,meet(a,c))),meet(c,join(a,b)))),
inference(monotonicity,[status(thm)],[92]) ).
tff(94,plain,
join(meet(a,join(b,meet(a,c))),meet(meet(a,join(b,meet(a,c))),meet(c,join(a,b)))) = join(meet(a,join(b,meet(a,c))),meet(a,c)),
inference(symmetry,[status(thm)],[93]) ).
tff(95,plain,
( ~ ! [Y: $i,X: $i] : ( join(X,meet(X,Y)) = X )
| ( join(meet(a,join(b,meet(a,c))),meet(meet(a,join(b,meet(a,c))),meet(c,join(a,b)))) = meet(a,join(b,meet(a,c))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(96,plain,
join(meet(a,join(b,meet(a,c))),meet(meet(a,join(b,meet(a,c))),meet(c,join(a,b)))) = meet(a,join(b,meet(a,c))),
inference(unit_resolution,[status(thm)],[95,16]) ).
tff(97,plain,
meet(a,join(b,meet(a,c))) = join(meet(a,join(b,meet(a,c))),meet(meet(a,join(b,meet(a,c))),meet(c,join(a,b)))),
inference(symmetry,[status(thm)],[96]) ).
tff(98,plain,
meet(a,join(b,meet(a,c))) = meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(a,b)))),
inference(transitivity,[status(thm)],[97,94,56,47]) ).
tff(99,plain,
( ( meet(a,join(b,meet(a,c))) != meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(a,b)))) )
<=> ( meet(a,join(b,meet(a,c))) != meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(a,b)))) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(100,axiom,
meet(a,join(b,meet(a,c))) != meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(a,b)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_H6) ).
tff(101,plain,
meet(a,join(b,meet(a,c))) != meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(a,b)))),
inference(modus_ponens,[status(thm)],[100,99]) ).
tff(102,plain,
$false,
inference(unit_resolution,[status(thm)],[101,98]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.14 % Problem : LAT171-1 : TPTP v9.0.0. Released v3.1.0.
% 0.10/0.14 % Command : run_E %s %d THM
% 0.14/0.36 % Computer : n015.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Thu Jun 19 19:47:10 EDT 2025
% 0.14/0.37 % CPUTime :
% 0.24/0.50 % SZS status Unsatisfiable
% 0.24/0.50 % SZS output start Proof
% See solution above
% 0.24/0.51 % E exiting
%------------------------------------------------------------------------------