TSTP Solution File: PUZ005+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : PUZ005+1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n018.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 : Sun Sep 18 14:10:47 EDT 2022
% Result : Theorem 0.22s 0.42s
% Output : Proof 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 86
% Syntax : Number of formulae : 194 ( 37 unt; 10 typ; 0 def)
% Number of atoms : 1208 ( 0 equ)
% Maximal formula atoms : 20 ( 6 avg)
% Number of connectives : 1756 ( 795 ~; 701 |; 90 &)
% ( 103 <=>; 67 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of FOOLs : 63 ( 63 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 7 >; 2 *; 0 +; 0 <<)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 325 ( 286 !; 12 ?; 325 :)
% Comments :
%------------------------------------------------------------------------------
tff(lies_on_one_of_type,type,
lies_on_one_of: ( $i * $i * $i ) > $o ).
tff(yesterday_type,type,
yesterday: $i > $i ).
tff(a_thursday_type,type,
a_thursday: $i ).
tff(a_unicorn_type,type,
a_unicorn: $i ).
tff(day_type,type,
day: $i > $o ).
tff(wednesday_type,type,
wednesday: $i > $o ).
tff(thursday_type,type,
thursday: $i > $o ).
tff(unicorn_lies_type,type,
unicorn_lies: $i > $o ).
tff(a_lion_type,type,
a_lion: $i ).
tff(lion_lies_type,type,
lion_lies: $i > $o ).
tff(1,plain,
^ [X: $i] :
refl(
( ( ~ thursday(X)
| wednesday(yesterday(X)) )
<=> ( ~ thursday(X)
| wednesday(yesterday(X)) ) )),
inference(bind,[status(th)],]) ).
tff(2,plain,
( ! [X: $i] :
( ~ thursday(X)
| wednesday(yesterday(X)) )
<=> ! [X: $i] :
( ~ thursday(X)
| wednesday(yesterday(X)) ) ),
inference(quant_intro,[status(thm)],[1]) ).
tff(3,plain,
( ! [X: $i] :
( ~ thursday(X)
| wednesday(yesterday(X)) )
<=> ! [X: $i] :
( ~ thursday(X)
| wednesday(yesterday(X)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(4,plain,
^ [X: $i] :
rewrite(
( ( thursday(X)
=> wednesday(yesterday(X)) )
<=> ( ~ thursday(X)
| wednesday(yesterday(X)) ) )),
inference(bind,[status(th)],]) ).
tff(5,plain,
( ! [X: $i] :
( thursday(X)
=> wednesday(yesterday(X)) )
<=> ! [X: $i] :
( ~ thursday(X)
| wednesday(yesterday(X)) ) ),
inference(quant_intro,[status(thm)],[4]) ).
tff(6,axiom,
! [X: $i] :
( thursday(X)
=> wednesday(yesterday(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thursday_follows_wednesday) ).
tff(7,plain,
! [X: $i] :
( ~ thursday(X)
| wednesday(yesterday(X)) ),
inference(modus_ponens,[status(thm)],[6,5]) ).
tff(8,plain,
! [X: $i] :
( ~ thursday(X)
| wednesday(yesterday(X)) ),
inference(modus_ponens,[status(thm)],[7,3]) ).
tff(9,plain,
! [X: $i] :
( ~ thursday(X)
| wednesday(yesterday(X)) ),
inference(skolemize,[status(sab)],[8]) ).
tff(10,plain,
! [X: $i] :
( ~ thursday(X)
| wednesday(yesterday(X)) ),
inference(modus_ponens,[status(thm)],[9,2]) ).
tff(11,plain,
( thursday(a_thursday)
<=> thursday(a_thursday) ),
inference(rewrite,[status(thm)],]) ).
tff(12,axiom,
thursday(a_thursday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thursday) ).
tff(13,plain,
thursday(a_thursday),
inference(modus_ponens,[status(thm)],[12,11]) ).
tff(14,plain,
( ( ~ ! [X: $i] :
( ~ thursday(X)
| wednesday(yesterday(X)) )
| ~ thursday(a_thursday)
| wednesday(yesterday(a_thursday)) )
<=> ( ~ ! [X: $i] :
( ~ thursday(X)
| wednesday(yesterday(X)) )
| ~ thursday(a_thursday)
| wednesday(yesterday(a_thursday)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(15,plain,
( ~ ! [X: $i] :
( ~ thursday(X)
| wednesday(yesterday(X)) )
| ~ thursday(a_thursday)
| wednesday(yesterday(a_thursday)) ),
inference(quant_inst,[status(thm)],]) ).
tff(16,plain,
( ~ ! [X: $i] :
( ~ thursday(X)
| wednesday(yesterday(X)) )
| ~ thursday(a_thursday)
| wednesday(yesterday(a_thursday)) ),
inference(modus_ponens,[status(thm)],[15,14]) ).
tff(17,plain,
wednesday(yesterday(a_thursday)),
inference(unit_resolution,[status(thm)],[16,13,10]) ).
tff(18,plain,
^ [X: $i] :
refl(
( ( day(X)
| ~ wednesday(X) )
<=> ( day(X)
| ~ wednesday(X) ) )),
inference(bind,[status(th)],]) ).
tff(19,plain,
( ! [X: $i] :
( day(X)
| ~ wednesday(X) )
<=> ! [X: $i] :
( day(X)
| ~ wednesday(X) ) ),
inference(quant_intro,[status(thm)],[18]) ).
tff(20,plain,
( ! [X: $i] :
( day(X)
| ~ wednesday(X) )
<=> ! [X: $i] :
( day(X)
| ~ wednesday(X) ) ),
inference(rewrite,[status(thm)],]) ).
tff(21,plain,
^ [X: $i] :
rewrite(
( ( wednesday(X)
=> day(X) )
<=> ( day(X)
| ~ wednesday(X) ) )),
inference(bind,[status(th)],]) ).
tff(22,plain,
( ! [X: $i] :
( wednesday(X)
=> day(X) )
<=> ! [X: $i] :
( day(X)
| ~ wednesday(X) ) ),
inference(quant_intro,[status(thm)],[21]) ).
tff(23,axiom,
! [X: $i] :
( wednesday(X)
=> day(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wednesday_is_a_day) ).
tff(24,plain,
! [X: $i] :
( day(X)
| ~ wednesday(X) ),
inference(modus_ponens,[status(thm)],[23,22]) ).
tff(25,plain,
! [X: $i] :
( day(X)
| ~ wednesday(X) ),
inference(modus_ponens,[status(thm)],[24,20]) ).
tff(26,plain,
! [X: $i] :
( day(X)
| ~ wednesday(X) ),
inference(skolemize,[status(sab)],[25]) ).
tff(27,plain,
! [X: $i] :
( day(X)
| ~ wednesday(X) ),
inference(modus_ponens,[status(thm)],[26,19]) ).
tff(28,plain,
( ( ~ ! [X: $i] :
( day(X)
| ~ wednesday(X) )
| day(yesterday(a_thursday))
| ~ wednesday(yesterday(a_thursday)) )
<=> ( ~ ! [X: $i] :
( day(X)
| ~ wednesday(X) )
| day(yesterday(a_thursday))
| ~ wednesday(yesterday(a_thursday)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(29,plain,
( ~ ! [X: $i] :
( day(X)
| ~ wednesday(X) )
| day(yesterday(a_thursday))
| ~ wednesday(yesterday(a_thursday)) ),
inference(quant_inst,[status(thm)],]) ).
tff(30,plain,
( ~ ! [X: $i] :
( day(X)
| ~ wednesday(X) )
| day(yesterday(a_thursday))
| ~ wednesday(yesterday(a_thursday)) ),
inference(modus_ponens,[status(thm)],[29,28]) ).
tff(31,plain,
day(yesterday(a_thursday)),
inference(unit_resolution,[status(thm)],[30,27,17]) ).
tff(32,plain,
^ [X: $i] :
refl(
( ( ~ unicorn_lies(X)
| ~ wednesday(X) )
<=> ( ~ unicorn_lies(X)
| ~ wednesday(X) ) )),
inference(bind,[status(th)],]) ).
tff(33,plain,
( ! [X: $i] :
( ~ unicorn_lies(X)
| ~ wednesday(X) )
<=> ! [X: $i] :
( ~ unicorn_lies(X)
| ~ wednesday(X) ) ),
inference(quant_intro,[status(thm)],[32]) ).
tff(34,plain,
( ! [X: $i] :
( ~ unicorn_lies(X)
| ~ wednesday(X) )
<=> ! [X: $i] :
( ~ unicorn_lies(X)
| ~ wednesday(X) ) ),
inference(rewrite,[status(thm)],]) ).
tff(35,plain,
^ [X: $i] :
rewrite(
( ( wednesday(X)
=> ~ unicorn_lies(X) )
<=> ( ~ unicorn_lies(X)
| ~ wednesday(X) ) )),
inference(bind,[status(th)],]) ).
tff(36,plain,
( ! [X: $i] :
( wednesday(X)
=> ~ unicorn_lies(X) )
<=> ! [X: $i] :
( ~ unicorn_lies(X)
| ~ wednesday(X) ) ),
inference(quant_intro,[status(thm)],[35]) ).
tff(37,axiom,
! [X: $i] :
( wednesday(X)
=> ~ unicorn_lies(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unicorn_does_not_lie_wednesday) ).
tff(38,plain,
! [X: $i] :
( ~ unicorn_lies(X)
| ~ wednesday(X) ),
inference(modus_ponens,[status(thm)],[37,36]) ).
tff(39,plain,
! [X: $i] :
( ~ unicorn_lies(X)
| ~ wednesday(X) ),
inference(modus_ponens,[status(thm)],[38,34]) ).
tff(40,plain,
! [X: $i] :
( ~ unicorn_lies(X)
| ~ wednesday(X) ),
inference(skolemize,[status(sab)],[39]) ).
tff(41,plain,
! [X: $i] :
( ~ unicorn_lies(X)
| ~ wednesday(X) ),
inference(modus_ponens,[status(thm)],[40,33]) ).
tff(42,plain,
( ( ~ ! [X: $i] :
( ~ unicorn_lies(X)
| ~ wednesday(X) )
| ~ unicorn_lies(yesterday(a_thursday))
| ~ wednesday(yesterday(a_thursday)) )
<=> ( ~ ! [X: $i] :
( ~ unicorn_lies(X)
| ~ wednesday(X) )
| ~ unicorn_lies(yesterday(a_thursday))
| ~ wednesday(yesterday(a_thursday)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(43,plain,
( ~ ! [X: $i] :
( ~ unicorn_lies(X)
| ~ wednesday(X) )
| ~ unicorn_lies(yesterday(a_thursday))
| ~ wednesday(yesterday(a_thursday)) ),
inference(quant_inst,[status(thm)],]) ).
tff(44,plain,
( ~ ! [X: $i] :
( ~ unicorn_lies(X)
| ~ wednesday(X) )
| ~ unicorn_lies(yesterday(a_thursday))
| ~ wednesday(yesterday(a_thursday)) ),
inference(modus_ponens,[status(thm)],[43,42]) ).
tff(45,plain,
~ unicorn_lies(yesterday(a_thursday)),
inference(unit_resolution,[status(thm)],[44,41,17]) ).
tff(46,plain,
^ [X: $i] :
refl(
( ( day(X)
| ~ thursday(X) )
<=> ( day(X)
| ~ thursday(X) ) )),
inference(bind,[status(th)],]) ).
tff(47,plain,
( ! [X: $i] :
( day(X)
| ~ thursday(X) )
<=> ! [X: $i] :
( day(X)
| ~ thursday(X) ) ),
inference(quant_intro,[status(thm)],[46]) ).
tff(48,plain,
( ! [X: $i] :
( day(X)
| ~ thursday(X) )
<=> ! [X: $i] :
( day(X)
| ~ thursday(X) ) ),
inference(rewrite,[status(thm)],]) ).
tff(49,plain,
^ [X: $i] :
rewrite(
( ( thursday(X)
=> day(X) )
<=> ( day(X)
| ~ thursday(X) ) )),
inference(bind,[status(th)],]) ).
tff(50,plain,
( ! [X: $i] :
( thursday(X)
=> day(X) )
<=> ! [X: $i] :
( day(X)
| ~ thursday(X) ) ),
inference(quant_intro,[status(thm)],[49]) ).
tff(51,axiom,
! [X: $i] :
( thursday(X)
=> day(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thursday_is_a_day) ).
tff(52,plain,
! [X: $i] :
( day(X)
| ~ thursday(X) ),
inference(modus_ponens,[status(thm)],[51,50]) ).
tff(53,plain,
! [X: $i] :
( day(X)
| ~ thursday(X) ),
inference(modus_ponens,[status(thm)],[52,48]) ).
tff(54,plain,
! [X: $i] :
( day(X)
| ~ thursday(X) ),
inference(skolemize,[status(sab)],[53]) ).
tff(55,plain,
! [X: $i] :
( day(X)
| ~ thursday(X) ),
inference(modus_ponens,[status(thm)],[54,47]) ).
tff(56,plain,
( ( ~ ! [X: $i] :
( day(X)
| ~ thursday(X) )
| day(a_thursday)
| ~ thursday(a_thursday) )
<=> ( ~ ! [X: $i] :
( day(X)
| ~ thursday(X) )
| day(a_thursday)
| ~ thursday(a_thursday) ) ),
inference(rewrite,[status(thm)],]) ).
tff(57,plain,
( ~ ! [X: $i] :
( day(X)
| ~ thursday(X) )
| day(a_thursday)
| ~ thursday(a_thursday) ),
inference(quant_inst,[status(thm)],]) ).
tff(58,plain,
( ~ ! [X: $i] :
( day(X)
| ~ thursday(X) )
| day(a_thursday)
| ~ thursday(a_thursday) ),
inference(modus_ponens,[status(thm)],[57,56]) ).
tff(59,plain,
day(a_thursday),
inference(unit_resolution,[status(thm)],[58,13,55]) ).
tff(60,plain,
^ [X: $i] :
refl(
( ( ~ day(X)
| ! [Y: $i] :
( unicorn_lies(Y)
| lies_on_one_of(a_unicorn,X,Y)
| ~ unicorn_lies(X)
| ~ day(Y) ) )
<=> ( ~ day(X)
| ! [Y: $i] :
( unicorn_lies(Y)
| lies_on_one_of(a_unicorn,X,Y)
| ~ unicorn_lies(X)
| ~ day(Y) ) ) )),
inference(bind,[status(th)],]) ).
tff(61,plain,
( ! [X: $i] :
( ~ day(X)
| ! [Y: $i] :
( unicorn_lies(Y)
| lies_on_one_of(a_unicorn,X,Y)
| ~ unicorn_lies(X)
| ~ day(Y) ) )
<=> ! [X: $i] :
( ~ day(X)
| ! [Y: $i] :
( unicorn_lies(Y)
| lies_on_one_of(a_unicorn,X,Y)
| ~ unicorn_lies(X)
| ~ day(Y) ) ) ),
inference(quant_intro,[status(thm)],[60]) ).
tff(62,plain,
^ [X: $i] :
rewrite(
( ( ~ day(X)
| ! [Y: $i] :
( unicorn_lies(Y)
| lies_on_one_of(a_unicorn,X,Y)
| ~ unicorn_lies(X)
| ~ day(Y) ) )
<=> ( ~ day(X)
| ! [Y: $i] :
( unicorn_lies(Y)
| lies_on_one_of(a_unicorn,X,Y)
| ~ unicorn_lies(X)
| ~ day(Y) ) ) )),
inference(bind,[status(th)],]) ).
tff(63,plain,
( ! [X: $i] :
( ~ day(X)
| ! [Y: $i] :
( unicorn_lies(Y)
| lies_on_one_of(a_unicorn,X,Y)
| ~ unicorn_lies(X)
| ~ day(Y) ) )
<=> ! [X: $i] :
( ~ day(X)
| ! [Y: $i] :
( unicorn_lies(Y)
| lies_on_one_of(a_unicorn,X,Y)
| ~ unicorn_lies(X)
| ~ day(Y) ) ) ),
inference(quant_intro,[status(thm)],[62]) ).
tff(64,plain,
( ! [X: $i] :
( ~ day(X)
| ! [Y: $i] :
( unicorn_lies(Y)
| lies_on_one_of(a_unicorn,X,Y)
| ~ unicorn_lies(X)
| ~ day(Y) ) )
<=> ! [X: $i] :
( ~ day(X)
| ! [Y: $i] :
( unicorn_lies(Y)
| lies_on_one_of(a_unicorn,X,Y)
| ~ unicorn_lies(X)
| ~ day(Y) ) ) ),
inference(transitivity,[status(thm)],[63,61]) ).
tff(65,plain,
^ [X: $i] :
rewrite(
( ( ~ day(X)
| ! [Y: $i] :
( unicorn_lies(Y)
| ~ day(Y)
| ~ ( unicorn_lies(X)
& ~ lies_on_one_of(a_unicorn,X,Y) ) ) )
<=> ( ~ day(X)
| ! [Y: $i] :
( unicorn_lies(Y)
| lies_on_one_of(a_unicorn,X,Y)
| ~ unicorn_lies(X)
| ~ day(Y) ) ) )),
inference(bind,[status(th)],]) ).
tff(66,plain,
( ! [X: $i] :
( ~ day(X)
| ! [Y: $i] :
( unicorn_lies(Y)
| ~ day(Y)
| ~ ( unicorn_lies(X)
& ~ lies_on_one_of(a_unicorn,X,Y) ) ) )
<=> ! [X: $i] :
( ~ day(X)
| ! [Y: $i] :
( unicorn_lies(Y)
| lies_on_one_of(a_unicorn,X,Y)
| ~ unicorn_lies(X)
| ~ day(Y) ) ) ),
inference(quant_intro,[status(thm)],[65]) ).
tff(67,plain,
( ! [X: $i] :
( ~ day(X)
| ! [Y: $i] :
( unicorn_lies(Y)
| ~ day(Y)
| ~ ( unicorn_lies(X)
& ~ lies_on_one_of(a_unicorn,X,Y) ) ) )
<=> ! [X: $i] :
( ~ day(X)
| ! [Y: $i] :
( unicorn_lies(Y)
| ~ day(Y)
| ~ ( unicorn_lies(X)
& ~ lies_on_one_of(a_unicorn,X,Y) ) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(68,plain,
^ [X: $i] :
trans(
monotonicity(
quant_intro(
proof_bind(
^ [Y: $i] :
trans(
monotonicity(
rewrite(
( ( ( unicorn_lies(X)
& ~ lies_on_one_of(a_unicorn,X,Y) )
=> unicorn_lies(Y) )
<=> ( unicorn_lies(Y)
| ~ ( unicorn_lies(X)
& ~ lies_on_one_of(a_unicorn,X,Y) ) ) )),
( ( day(Y)
=> ( ( unicorn_lies(X)
& ~ lies_on_one_of(a_unicorn,X,Y) )
=> unicorn_lies(Y) ) )
<=> ( day(Y)
=> ( unicorn_lies(Y)
| ~ ( unicorn_lies(X)
& ~ lies_on_one_of(a_unicorn,X,Y) ) ) ) )),
rewrite(
( ( day(Y)
=> ( unicorn_lies(Y)
| ~ ( unicorn_lies(X)
& ~ lies_on_one_of(a_unicorn,X,Y) ) ) )
<=> ( unicorn_lies(Y)
| ~ day(Y)
| ~ ( unicorn_lies(X)
& ~ lies_on_one_of(a_unicorn,X,Y) ) ) )),
( ( day(Y)
=> ( ( unicorn_lies(X)
& ~ lies_on_one_of(a_unicorn,X,Y) )
=> unicorn_lies(Y) ) )
<=> ( unicorn_lies(Y)
| ~ day(Y)
| ~ ( unicorn_lies(X)
& ~ lies_on_one_of(a_unicorn,X,Y) ) ) ))),
( ! [Y: $i] :
( day(Y)
=> ( ( unicorn_lies(X)
& ~ lies_on_one_of(a_unicorn,X,Y) )
=> unicorn_lies(Y) ) )
<=> ! [Y: $i] :
( unicorn_lies(Y)
| ~ day(Y)
| ~ ( unicorn_lies(X)
& ~ lies_on_one_of(a_unicorn,X,Y) ) ) )),
( ( day(X)
=> ! [Y: $i] :
( day(Y)
=> ( ( unicorn_lies(X)
& ~ lies_on_one_of(a_unicorn,X,Y) )
=> unicorn_lies(Y) ) ) )
<=> ( day(X)
=> ! [Y: $i] :
( unicorn_lies(Y)
| ~ day(Y)
| ~ ( unicorn_lies(X)
& ~ lies_on_one_of(a_unicorn,X,Y) ) ) ) )),
rewrite(
( ( day(X)
=> ! [Y: $i] :
( unicorn_lies(Y)
| ~ day(Y)
| ~ ( unicorn_lies(X)
& ~ lies_on_one_of(a_unicorn,X,Y) ) ) )
<=> ( ~ day(X)
| ! [Y: $i] :
( unicorn_lies(Y)
| ~ day(Y)
| ~ ( unicorn_lies(X)
& ~ lies_on_one_of(a_unicorn,X,Y) ) ) ) )),
( ( day(X)
=> ! [Y: $i] :
( day(Y)
=> ( ( unicorn_lies(X)
& ~ lies_on_one_of(a_unicorn,X,Y) )
=> unicorn_lies(Y) ) ) )
<=> ( ~ day(X)
| ! [Y: $i] :
( unicorn_lies(Y)
| ~ day(Y)
| ~ ( unicorn_lies(X)
& ~ lies_on_one_of(a_unicorn,X,Y) ) ) ) )),
inference(bind,[status(th)],]) ).
tff(69,plain,
( ! [X: $i] :
( day(X)
=> ! [Y: $i] :
( day(Y)
=> ( ( unicorn_lies(X)
& ~ lies_on_one_of(a_unicorn,X,Y) )
=> unicorn_lies(Y) ) ) )
<=> ! [X: $i] :
( ~ day(X)
| ! [Y: $i] :
( unicorn_lies(Y)
| ~ day(Y)
| ~ ( unicorn_lies(X)
& ~ lies_on_one_of(a_unicorn,X,Y) ) ) ) ),
inference(quant_intro,[status(thm)],[68]) ).
tff(70,axiom,
! [X: $i] :
( day(X)
=> ! [Y: $i] :
( day(Y)
=> ( ( unicorn_lies(X)
& ~ lies_on_one_of(a_unicorn,X,Y) )
=> unicorn_lies(Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unicorn_lies_on_both) ).
tff(71,plain,
! [X: $i] :
( ~ day(X)
| ! [Y: $i] :
( unicorn_lies(Y)
| ~ day(Y)
| ~ ( unicorn_lies(X)
& ~ lies_on_one_of(a_unicorn,X,Y) ) ) ),
inference(modus_ponens,[status(thm)],[70,69]) ).
tff(72,plain,
! [X: $i] :
( ~ day(X)
| ! [Y: $i] :
( unicorn_lies(Y)
| ~ day(Y)
| ~ ( unicorn_lies(X)
& ~ lies_on_one_of(a_unicorn,X,Y) ) ) ),
inference(modus_ponens,[status(thm)],[71,67]) ).
tff(73,plain,
! [X: $i] :
( ~ day(X)
| ! [Y: $i] :
( unicorn_lies(Y)
| ~ day(Y)
| ~ ( unicorn_lies(X)
& ~ lies_on_one_of(a_unicorn,X,Y) ) ) ),
inference(skolemize,[status(sab)],[72]) ).
tff(74,plain,
! [X: $i] :
( ~ day(X)
| ! [Y: $i] :
( unicorn_lies(Y)
| lies_on_one_of(a_unicorn,X,Y)
| ~ unicorn_lies(X)
| ~ day(Y) ) ),
inference(modus_ponens,[status(thm)],[73,66]) ).
tff(75,plain,
! [X: $i] :
( ~ day(X)
| ! [Y: $i] :
( unicorn_lies(Y)
| lies_on_one_of(a_unicorn,X,Y)
| ~ unicorn_lies(X)
| ~ day(Y) ) ),
inference(modus_ponens,[status(thm)],[74,64]) ).
tff(76,plain,
( ( ~ ! [X: $i] :
( ~ day(X)
| ! [Y: $i] :
( unicorn_lies(Y)
| lies_on_one_of(a_unicorn,X,Y)
| ~ unicorn_lies(X)
| ~ day(Y) ) )
| ~ day(a_thursday)
| ! [Y: $i] :
( unicorn_lies(Y)
| ~ day(Y)
| lies_on_one_of(a_unicorn,a_thursday,Y)
| ~ unicorn_lies(a_thursday) ) )
<=> ( ~ ! [X: $i] :
( ~ day(X)
| ! [Y: $i] :
( unicorn_lies(Y)
| lies_on_one_of(a_unicorn,X,Y)
| ~ unicorn_lies(X)
| ~ day(Y) ) )
| ~ day(a_thursday)
| ! [Y: $i] :
( unicorn_lies(Y)
| ~ day(Y)
| lies_on_one_of(a_unicorn,a_thursday,Y)
| ~ unicorn_lies(a_thursday) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(77,plain,
( ( ~ day(a_thursday)
| ! [Y: $i] :
( unicorn_lies(Y)
| lies_on_one_of(a_unicorn,a_thursday,Y)
| ~ unicorn_lies(a_thursday)
| ~ day(Y) ) )
<=> ( ~ day(a_thursday)
| ! [Y: $i] :
( unicorn_lies(Y)
| ~ day(Y)
| lies_on_one_of(a_unicorn,a_thursday,Y)
| ~ unicorn_lies(a_thursday) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(78,plain,
( ( ~ ! [X: $i] :
( ~ day(X)
| ! [Y: $i] :
( unicorn_lies(Y)
| lies_on_one_of(a_unicorn,X,Y)
| ~ unicorn_lies(X)
| ~ day(Y) ) )
| ~ day(a_thursday)
| ! [Y: $i] :
( unicorn_lies(Y)
| lies_on_one_of(a_unicorn,a_thursday,Y)
| ~ unicorn_lies(a_thursday)
| ~ day(Y) ) )
<=> ( ~ ! [X: $i] :
( ~ day(X)
| ! [Y: $i] :
( unicorn_lies(Y)
| lies_on_one_of(a_unicorn,X,Y)
| ~ unicorn_lies(X)
| ~ day(Y) ) )
| ~ day(a_thursday)
| ! [Y: $i] :
( unicorn_lies(Y)
| ~ day(Y)
| lies_on_one_of(a_unicorn,a_thursday,Y)
| ~ unicorn_lies(a_thursday) ) ) ),
inference(monotonicity,[status(thm)],[77]) ).
tff(79,plain,
( ( ~ ! [X: $i] :
( ~ day(X)
| ! [Y: $i] :
( unicorn_lies(Y)
| lies_on_one_of(a_unicorn,X,Y)
| ~ unicorn_lies(X)
| ~ day(Y) ) )
| ~ day(a_thursday)
| ! [Y: $i] :
( unicorn_lies(Y)
| lies_on_one_of(a_unicorn,a_thursday,Y)
| ~ unicorn_lies(a_thursday)
| ~ day(Y) ) )
<=> ( ~ ! [X: $i] :
( ~ day(X)
| ! [Y: $i] :
( unicorn_lies(Y)
| lies_on_one_of(a_unicorn,X,Y)
| ~ unicorn_lies(X)
| ~ day(Y) ) )
| ~ day(a_thursday)
| ! [Y: $i] :
( unicorn_lies(Y)
| ~ day(Y)
| lies_on_one_of(a_unicorn,a_thursday,Y)
| ~ unicorn_lies(a_thursday) ) ) ),
inference(transitivity,[status(thm)],[78,76]) ).
tff(80,plain,
( ~ ! [X: $i] :
( ~ day(X)
| ! [Y: $i] :
( unicorn_lies(Y)
| lies_on_one_of(a_unicorn,X,Y)
| ~ unicorn_lies(X)
| ~ day(Y) ) )
| ~ day(a_thursday)
| ! [Y: $i] :
( unicorn_lies(Y)
| lies_on_one_of(a_unicorn,a_thursday,Y)
| ~ unicorn_lies(a_thursday)
| ~ day(Y) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(81,plain,
( ~ ! [X: $i] :
( ~ day(X)
| ! [Y: $i] :
( unicorn_lies(Y)
| lies_on_one_of(a_unicorn,X,Y)
| ~ unicorn_lies(X)
| ~ day(Y) ) )
| ~ day(a_thursday)
| ! [Y: $i] :
( unicorn_lies(Y)
| ~ day(Y)
| lies_on_one_of(a_unicorn,a_thursday,Y)
| ~ unicorn_lies(a_thursday) ) ),
inference(modus_ponens,[status(thm)],[80,79]) ).
tff(82,plain,
! [Y: $i] :
( unicorn_lies(Y)
| ~ day(Y)
| lies_on_one_of(a_unicorn,a_thursday,Y)
| ~ unicorn_lies(a_thursday) ),
inference(unit_resolution,[status(thm)],[81,75,59]) ).
tff(83,plain,
^ [X: $i] :
refl(
( ( unicorn_lies(X)
| ~ thursday(X) )
<=> ( unicorn_lies(X)
| ~ thursday(X) ) )),
inference(bind,[status(th)],]) ).
tff(84,plain,
( ! [X: $i] :
( unicorn_lies(X)
| ~ thursday(X) )
<=> ! [X: $i] :
( unicorn_lies(X)
| ~ thursday(X) ) ),
inference(quant_intro,[status(thm)],[83]) ).
tff(85,plain,
( ! [X: $i] :
( unicorn_lies(X)
| ~ thursday(X) )
<=> ! [X: $i] :
( unicorn_lies(X)
| ~ thursday(X) ) ),
inference(rewrite,[status(thm)],]) ).
tff(86,plain,
^ [X: $i] :
rewrite(
( ( thursday(X)
=> unicorn_lies(X) )
<=> ( unicorn_lies(X)
| ~ thursday(X) ) )),
inference(bind,[status(th)],]) ).
tff(87,plain,
( ! [X: $i] :
( thursday(X)
=> unicorn_lies(X) )
<=> ! [X: $i] :
( unicorn_lies(X)
| ~ thursday(X) ) ),
inference(quant_intro,[status(thm)],[86]) ).
tff(88,axiom,
! [X: $i] :
( thursday(X)
=> unicorn_lies(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unicorn_lies_thursday) ).
tff(89,plain,
! [X: $i] :
( unicorn_lies(X)
| ~ thursday(X) ),
inference(modus_ponens,[status(thm)],[88,87]) ).
tff(90,plain,
! [X: $i] :
( unicorn_lies(X)
| ~ thursday(X) ),
inference(modus_ponens,[status(thm)],[89,85]) ).
tff(91,plain,
! [X: $i] :
( unicorn_lies(X)
| ~ thursday(X) ),
inference(skolemize,[status(sab)],[90]) ).
tff(92,plain,
! [X: $i] :
( unicorn_lies(X)
| ~ thursday(X) ),
inference(modus_ponens,[status(thm)],[91,84]) ).
tff(93,plain,
( ( ~ ! [X: $i] :
( unicorn_lies(X)
| ~ thursday(X) )
| unicorn_lies(a_thursday)
| ~ thursday(a_thursday) )
<=> ( ~ ! [X: $i] :
( unicorn_lies(X)
| ~ thursday(X) )
| unicorn_lies(a_thursday)
| ~ thursday(a_thursday) ) ),
inference(rewrite,[status(thm)],]) ).
tff(94,plain,
( ~ ! [X: $i] :
( unicorn_lies(X)
| ~ thursday(X) )
| unicorn_lies(a_thursday)
| ~ thursday(a_thursday) ),
inference(quant_inst,[status(thm)],]) ).
tff(95,plain,
( ~ ! [X: $i] :
( unicorn_lies(X)
| ~ thursday(X) )
| unicorn_lies(a_thursday)
| ~ thursday(a_thursday) ),
inference(modus_ponens,[status(thm)],[94,93]) ).
tff(96,plain,
unicorn_lies(a_thursday),
inference(unit_resolution,[status(thm)],[95,13,92]) ).
tff(97,plain,
( ( ~ ! [Y: $i] :
( unicorn_lies(Y)
| ~ day(Y)
| lies_on_one_of(a_unicorn,a_thursday,Y)
| ~ unicorn_lies(a_thursday) )
| ~ unicorn_lies(a_thursday)
| lies_on_one_of(a_unicorn,a_thursday,yesterday(a_thursday))
| unicorn_lies(yesterday(a_thursday))
| ~ day(yesterday(a_thursday)) )
<=> ( ~ ! [Y: $i] :
( unicorn_lies(Y)
| ~ day(Y)
| lies_on_one_of(a_unicorn,a_thursday,Y)
| ~ unicorn_lies(a_thursday) )
| ~ unicorn_lies(a_thursday)
| lies_on_one_of(a_unicorn,a_thursday,yesterday(a_thursday))
| unicorn_lies(yesterday(a_thursday))
| ~ day(yesterday(a_thursday)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(98,plain,
( ( unicorn_lies(yesterday(a_thursday))
| ~ day(yesterday(a_thursday))
| lies_on_one_of(a_unicorn,a_thursday,yesterday(a_thursday))
| ~ unicorn_lies(a_thursday) )
<=> ( ~ unicorn_lies(a_thursday)
| lies_on_one_of(a_unicorn,a_thursday,yesterday(a_thursday))
| unicorn_lies(yesterday(a_thursday))
| ~ day(yesterday(a_thursday)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(99,plain,
( ( ~ ! [Y: $i] :
( unicorn_lies(Y)
| ~ day(Y)
| lies_on_one_of(a_unicorn,a_thursday,Y)
| ~ unicorn_lies(a_thursday) )
| unicorn_lies(yesterday(a_thursday))
| ~ day(yesterday(a_thursday))
| lies_on_one_of(a_unicorn,a_thursday,yesterday(a_thursday))
| ~ unicorn_lies(a_thursday) )
<=> ( ~ ! [Y: $i] :
( unicorn_lies(Y)
| ~ day(Y)
| lies_on_one_of(a_unicorn,a_thursday,Y)
| ~ unicorn_lies(a_thursday) )
| ~ unicorn_lies(a_thursday)
| lies_on_one_of(a_unicorn,a_thursday,yesterday(a_thursday))
| unicorn_lies(yesterday(a_thursday))
| ~ day(yesterday(a_thursday)) ) ),
inference(monotonicity,[status(thm)],[98]) ).
tff(100,plain,
( ( ~ ! [Y: $i] :
( unicorn_lies(Y)
| ~ day(Y)
| lies_on_one_of(a_unicorn,a_thursday,Y)
| ~ unicorn_lies(a_thursday) )
| unicorn_lies(yesterday(a_thursday))
| ~ day(yesterday(a_thursday))
| lies_on_one_of(a_unicorn,a_thursday,yesterday(a_thursday))
| ~ unicorn_lies(a_thursday) )
<=> ( ~ ! [Y: $i] :
( unicorn_lies(Y)
| ~ day(Y)
| lies_on_one_of(a_unicorn,a_thursday,Y)
| ~ unicorn_lies(a_thursday) )
| ~ unicorn_lies(a_thursday)
| lies_on_one_of(a_unicorn,a_thursday,yesterday(a_thursday))
| unicorn_lies(yesterday(a_thursday))
| ~ day(yesterday(a_thursday)) ) ),
inference(transitivity,[status(thm)],[99,97]) ).
tff(101,plain,
( ~ ! [Y: $i] :
( unicorn_lies(Y)
| ~ day(Y)
| lies_on_one_of(a_unicorn,a_thursday,Y)
| ~ unicorn_lies(a_thursday) )
| unicorn_lies(yesterday(a_thursday))
| ~ day(yesterday(a_thursday))
| lies_on_one_of(a_unicorn,a_thursday,yesterday(a_thursday))
| ~ unicorn_lies(a_thursday) ),
inference(quant_inst,[status(thm)],]) ).
tff(102,plain,
( ~ ! [Y: $i] :
( unicorn_lies(Y)
| ~ day(Y)
| lies_on_one_of(a_unicorn,a_thursday,Y)
| ~ unicorn_lies(a_thursday) )
| ~ unicorn_lies(a_thursday)
| lies_on_one_of(a_unicorn,a_thursday,yesterday(a_thursday))
| unicorn_lies(yesterday(a_thursday))
| ~ day(yesterday(a_thursday)) ),
inference(modus_ponens,[status(thm)],[101,100]) ).
tff(103,plain,
lies_on_one_of(a_unicorn,a_thursday,yesterday(a_thursday)),
inference(unit_resolution,[status(thm)],[102,96,82,45,31]) ).
tff(104,plain,
^ [X: $i] :
refl(
( ( lion_lies(X)
| ~ wednesday(X) )
<=> ( lion_lies(X)
| ~ wednesday(X) ) )),
inference(bind,[status(th)],]) ).
tff(105,plain,
( ! [X: $i] :
( lion_lies(X)
| ~ wednesday(X) )
<=> ! [X: $i] :
( lion_lies(X)
| ~ wednesday(X) ) ),
inference(quant_intro,[status(thm)],[104]) ).
tff(106,plain,
( ! [X: $i] :
( lion_lies(X)
| ~ wednesday(X) )
<=> ! [X: $i] :
( lion_lies(X)
| ~ wednesday(X) ) ),
inference(rewrite,[status(thm)],]) ).
tff(107,plain,
^ [X: $i] :
rewrite(
( ( wednesday(X)
=> lion_lies(X) )
<=> ( lion_lies(X)
| ~ wednesday(X) ) )),
inference(bind,[status(th)],]) ).
tff(108,plain,
( ! [X: $i] :
( wednesday(X)
=> lion_lies(X) )
<=> ! [X: $i] :
( lion_lies(X)
| ~ wednesday(X) ) ),
inference(quant_intro,[status(thm)],[107]) ).
tff(109,axiom,
! [X: $i] :
( wednesday(X)
=> lion_lies(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lion_lies_wednesday) ).
tff(110,plain,
! [X: $i] :
( lion_lies(X)
| ~ wednesday(X) ),
inference(modus_ponens,[status(thm)],[109,108]) ).
tff(111,plain,
! [X: $i] :
( lion_lies(X)
| ~ wednesday(X) ),
inference(modus_ponens,[status(thm)],[110,106]) ).
tff(112,plain,
! [X: $i] :
( lion_lies(X)
| ~ wednesday(X) ),
inference(skolemize,[status(sab)],[111]) ).
tff(113,plain,
! [X: $i] :
( lion_lies(X)
| ~ wednesday(X) ),
inference(modus_ponens,[status(thm)],[112,105]) ).
tff(114,plain,
( ( ~ ! [X: $i] :
( lion_lies(X)
| ~ wednesday(X) )
| lion_lies(yesterday(a_thursday))
| ~ wednesday(yesterday(a_thursday)) )
<=> ( ~ ! [X: $i] :
( lion_lies(X)
| ~ wednesday(X) )
| lion_lies(yesterday(a_thursday))
| ~ wednesday(yesterday(a_thursday)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(115,plain,
( ~ ! [X: $i] :
( lion_lies(X)
| ~ wednesday(X) )
| lion_lies(yesterday(a_thursday))
| ~ wednesday(yesterday(a_thursday)) ),
inference(quant_inst,[status(thm)],]) ).
tff(116,plain,
( ~ ! [X: $i] :
( lion_lies(X)
| ~ wednesday(X) )
| lion_lies(yesterday(a_thursday))
| ~ wednesday(yesterday(a_thursday)) ),
inference(modus_ponens,[status(thm)],[115,114]) ).
tff(117,plain,
lion_lies(yesterday(a_thursday)),
inference(unit_resolution,[status(thm)],[116,113,17]) ).
tff(118,plain,
^ [X: $i] :
refl(
( ( ~ day(X)
| ! [Y: $i] :
( ~ lion_lies(Y)
| lies_on_one_of(a_lion,X,Y)
| lion_lies(X)
| ~ day(Y) ) )
<=> ( ~ day(X)
| ! [Y: $i] :
( ~ lion_lies(Y)
| lies_on_one_of(a_lion,X,Y)
| lion_lies(X)
| ~ day(Y) ) ) )),
inference(bind,[status(th)],]) ).
tff(119,plain,
( ! [X: $i] :
( ~ day(X)
| ! [Y: $i] :
( ~ lion_lies(Y)
| lies_on_one_of(a_lion,X,Y)
| lion_lies(X)
| ~ day(Y) ) )
<=> ! [X: $i] :
( ~ day(X)
| ! [Y: $i] :
( ~ lion_lies(Y)
| lies_on_one_of(a_lion,X,Y)
| lion_lies(X)
| ~ day(Y) ) ) ),
inference(quant_intro,[status(thm)],[118]) ).
tff(120,plain,
^ [X: $i] :
rewrite(
( ( ~ day(X)
| ! [Y: $i] :
( ~ lion_lies(Y)
| lies_on_one_of(a_lion,X,Y)
| lion_lies(X)
| ~ day(Y) ) )
<=> ( ~ day(X)
| ! [Y: $i] :
( ~ lion_lies(Y)
| lies_on_one_of(a_lion,X,Y)
| lion_lies(X)
| ~ day(Y) ) ) )),
inference(bind,[status(th)],]) ).
tff(121,plain,
( ! [X: $i] :
( ~ day(X)
| ! [Y: $i] :
( ~ lion_lies(Y)
| lies_on_one_of(a_lion,X,Y)
| lion_lies(X)
| ~ day(Y) ) )
<=> ! [X: $i] :
( ~ day(X)
| ! [Y: $i] :
( ~ lion_lies(Y)
| lies_on_one_of(a_lion,X,Y)
| lion_lies(X)
| ~ day(Y) ) ) ),
inference(quant_intro,[status(thm)],[120]) ).
tff(122,plain,
( ! [X: $i] :
( ~ day(X)
| ! [Y: $i] :
( ~ lion_lies(Y)
| lies_on_one_of(a_lion,X,Y)
| lion_lies(X)
| ~ day(Y) ) )
<=> ! [X: $i] :
( ~ day(X)
| ! [Y: $i] :
( ~ lion_lies(Y)
| lies_on_one_of(a_lion,X,Y)
| lion_lies(X)
| ~ day(Y) ) ) ),
inference(transitivity,[status(thm)],[121,119]) ).
tff(123,plain,
^ [X: $i] :
rewrite(
( ( ~ day(X)
| ! [Y: $i] :
( ~ lion_lies(Y)
| ~ day(Y)
| ~ ( ~ lion_lies(X)
& ~ lies_on_one_of(a_lion,X,Y) ) ) )
<=> ( ~ day(X)
| ! [Y: $i] :
( ~ lion_lies(Y)
| lies_on_one_of(a_lion,X,Y)
| lion_lies(X)
| ~ day(Y) ) ) )),
inference(bind,[status(th)],]) ).
tff(124,plain,
( ! [X: $i] :
( ~ day(X)
| ! [Y: $i] :
( ~ lion_lies(Y)
| ~ day(Y)
| ~ ( ~ lion_lies(X)
& ~ lies_on_one_of(a_lion,X,Y) ) ) )
<=> ! [X: $i] :
( ~ day(X)
| ! [Y: $i] :
( ~ lion_lies(Y)
| lies_on_one_of(a_lion,X,Y)
| lion_lies(X)
| ~ day(Y) ) ) ),
inference(quant_intro,[status(thm)],[123]) ).
tff(125,plain,
( ! [X: $i] :
( ~ day(X)
| ! [Y: $i] :
( ~ lion_lies(Y)
| ~ day(Y)
| ~ ( ~ lion_lies(X)
& ~ lies_on_one_of(a_lion,X,Y) ) ) )
<=> ! [X: $i] :
( ~ day(X)
| ! [Y: $i] :
( ~ lion_lies(Y)
| ~ day(Y)
| ~ ( ~ lion_lies(X)
& ~ lies_on_one_of(a_lion,X,Y) ) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(126,plain,
^ [X: $i] :
trans(
monotonicity(
quant_intro(
proof_bind(
^ [Y: $i] :
trans(
monotonicity(
rewrite(
( ( ( ~ lion_lies(X)
& ~ lies_on_one_of(a_lion,X,Y) )
=> ~ lion_lies(Y) )
<=> ( ~ lion_lies(Y)
| ~ ( ~ lion_lies(X)
& ~ lies_on_one_of(a_lion,X,Y) ) ) )),
( ( day(Y)
=> ( ( ~ lion_lies(X)
& ~ lies_on_one_of(a_lion,X,Y) )
=> ~ lion_lies(Y) ) )
<=> ( day(Y)
=> ( ~ lion_lies(Y)
| ~ ( ~ lion_lies(X)
& ~ lies_on_one_of(a_lion,X,Y) ) ) ) )),
rewrite(
( ( day(Y)
=> ( ~ lion_lies(Y)
| ~ ( ~ lion_lies(X)
& ~ lies_on_one_of(a_lion,X,Y) ) ) )
<=> ( ~ lion_lies(Y)
| ~ day(Y)
| ~ ( ~ lion_lies(X)
& ~ lies_on_one_of(a_lion,X,Y) ) ) )),
( ( day(Y)
=> ( ( ~ lion_lies(X)
& ~ lies_on_one_of(a_lion,X,Y) )
=> ~ lion_lies(Y) ) )
<=> ( ~ lion_lies(Y)
| ~ day(Y)
| ~ ( ~ lion_lies(X)
& ~ lies_on_one_of(a_lion,X,Y) ) ) ))),
( ! [Y: $i] :
( day(Y)
=> ( ( ~ lion_lies(X)
& ~ lies_on_one_of(a_lion,X,Y) )
=> ~ lion_lies(Y) ) )
<=> ! [Y: $i] :
( ~ lion_lies(Y)
| ~ day(Y)
| ~ ( ~ lion_lies(X)
& ~ lies_on_one_of(a_lion,X,Y) ) ) )),
( ( day(X)
=> ! [Y: $i] :
( day(Y)
=> ( ( ~ lion_lies(X)
& ~ lies_on_one_of(a_lion,X,Y) )
=> ~ lion_lies(Y) ) ) )
<=> ( day(X)
=> ! [Y: $i] :
( ~ lion_lies(Y)
| ~ day(Y)
| ~ ( ~ lion_lies(X)
& ~ lies_on_one_of(a_lion,X,Y) ) ) ) )),
rewrite(
( ( day(X)
=> ! [Y: $i] :
( ~ lion_lies(Y)
| ~ day(Y)
| ~ ( ~ lion_lies(X)
& ~ lies_on_one_of(a_lion,X,Y) ) ) )
<=> ( ~ day(X)
| ! [Y: $i] :
( ~ lion_lies(Y)
| ~ day(Y)
| ~ ( ~ lion_lies(X)
& ~ lies_on_one_of(a_lion,X,Y) ) ) ) )),
( ( day(X)
=> ! [Y: $i] :
( day(Y)
=> ( ( ~ lion_lies(X)
& ~ lies_on_one_of(a_lion,X,Y) )
=> ~ lion_lies(Y) ) ) )
<=> ( ~ day(X)
| ! [Y: $i] :
( ~ lion_lies(Y)
| ~ day(Y)
| ~ ( ~ lion_lies(X)
& ~ lies_on_one_of(a_lion,X,Y) ) ) ) )),
inference(bind,[status(th)],]) ).
tff(127,plain,
( ! [X: $i] :
( day(X)
=> ! [Y: $i] :
( day(Y)
=> ( ( ~ lion_lies(X)
& ~ lies_on_one_of(a_lion,X,Y) )
=> ~ lion_lies(Y) ) ) )
<=> ! [X: $i] :
( ~ day(X)
| ! [Y: $i] :
( ~ lion_lies(Y)
| ~ day(Y)
| ~ ( ~ lion_lies(X)
& ~ lies_on_one_of(a_lion,X,Y) ) ) ) ),
inference(quant_intro,[status(thm)],[126]) ).
tff(128,axiom,
! [X: $i] :
( day(X)
=> ! [Y: $i] :
( day(Y)
=> ( ( ~ lion_lies(X)
& ~ lies_on_one_of(a_lion,X,Y) )
=> ~ lion_lies(Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lion_lies_on_neither) ).
tff(129,plain,
! [X: $i] :
( ~ day(X)
| ! [Y: $i] :
( ~ lion_lies(Y)
| ~ day(Y)
| ~ ( ~ lion_lies(X)
& ~ lies_on_one_of(a_lion,X,Y) ) ) ),
inference(modus_ponens,[status(thm)],[128,127]) ).
tff(130,plain,
! [X: $i] :
( ~ day(X)
| ! [Y: $i] :
( ~ lion_lies(Y)
| ~ day(Y)
| ~ ( ~ lion_lies(X)
& ~ lies_on_one_of(a_lion,X,Y) ) ) ),
inference(modus_ponens,[status(thm)],[129,125]) ).
tff(131,plain,
! [X: $i] :
( ~ day(X)
| ! [Y: $i] :
( ~ lion_lies(Y)
| ~ day(Y)
| ~ ( ~ lion_lies(X)
& ~ lies_on_one_of(a_lion,X,Y) ) ) ),
inference(skolemize,[status(sab)],[130]) ).
tff(132,plain,
! [X: $i] :
( ~ day(X)
| ! [Y: $i] :
( ~ lion_lies(Y)
| lies_on_one_of(a_lion,X,Y)
| lion_lies(X)
| ~ day(Y) ) ),
inference(modus_ponens,[status(thm)],[131,124]) ).
tff(133,plain,
! [X: $i] :
( ~ day(X)
| ! [Y: $i] :
( ~ lion_lies(Y)
| lies_on_one_of(a_lion,X,Y)
| lion_lies(X)
| ~ day(Y) ) ),
inference(modus_ponens,[status(thm)],[132,122]) ).
tff(134,plain,
( ( ~ ! [X: $i] :
( ~ day(X)
| ! [Y: $i] :
( ~ lion_lies(Y)
| lies_on_one_of(a_lion,X,Y)
| lion_lies(X)
| ~ day(Y) ) )
| ~ day(a_thursday)
| ! [Y: $i] :
( ~ lion_lies(Y)
| ~ day(Y)
| lion_lies(a_thursday)
| lies_on_one_of(a_lion,a_thursday,Y) ) )
<=> ( ~ ! [X: $i] :
( ~ day(X)
| ! [Y: $i] :
( ~ lion_lies(Y)
| lies_on_one_of(a_lion,X,Y)
| lion_lies(X)
| ~ day(Y) ) )
| ~ day(a_thursday)
| ! [Y: $i] :
( ~ lion_lies(Y)
| ~ day(Y)
| lion_lies(a_thursday)
| lies_on_one_of(a_lion,a_thursday,Y) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(135,plain,
( ( ~ day(a_thursday)
| ! [Y: $i] :
( ~ lion_lies(Y)
| lies_on_one_of(a_lion,a_thursday,Y)
| lion_lies(a_thursday)
| ~ day(Y) ) )
<=> ( ~ day(a_thursday)
| ! [Y: $i] :
( ~ lion_lies(Y)
| ~ day(Y)
| lion_lies(a_thursday)
| lies_on_one_of(a_lion,a_thursday,Y) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(136,plain,
( ( ~ ! [X: $i] :
( ~ day(X)
| ! [Y: $i] :
( ~ lion_lies(Y)
| lies_on_one_of(a_lion,X,Y)
| lion_lies(X)
| ~ day(Y) ) )
| ~ day(a_thursday)
| ! [Y: $i] :
( ~ lion_lies(Y)
| lies_on_one_of(a_lion,a_thursday,Y)
| lion_lies(a_thursday)
| ~ day(Y) ) )
<=> ( ~ ! [X: $i] :
( ~ day(X)
| ! [Y: $i] :
( ~ lion_lies(Y)
| lies_on_one_of(a_lion,X,Y)
| lion_lies(X)
| ~ day(Y) ) )
| ~ day(a_thursday)
| ! [Y: $i] :
( ~ lion_lies(Y)
| ~ day(Y)
| lion_lies(a_thursday)
| lies_on_one_of(a_lion,a_thursday,Y) ) ) ),
inference(monotonicity,[status(thm)],[135]) ).
tff(137,plain,
( ( ~ ! [X: $i] :
( ~ day(X)
| ! [Y: $i] :
( ~ lion_lies(Y)
| lies_on_one_of(a_lion,X,Y)
| lion_lies(X)
| ~ day(Y) ) )
| ~ day(a_thursday)
| ! [Y: $i] :
( ~ lion_lies(Y)
| lies_on_one_of(a_lion,a_thursday,Y)
| lion_lies(a_thursday)
| ~ day(Y) ) )
<=> ( ~ ! [X: $i] :
( ~ day(X)
| ! [Y: $i] :
( ~ lion_lies(Y)
| lies_on_one_of(a_lion,X,Y)
| lion_lies(X)
| ~ day(Y) ) )
| ~ day(a_thursday)
| ! [Y: $i] :
( ~ lion_lies(Y)
| ~ day(Y)
| lion_lies(a_thursday)
| lies_on_one_of(a_lion,a_thursday,Y) ) ) ),
inference(transitivity,[status(thm)],[136,134]) ).
tff(138,plain,
( ~ ! [X: $i] :
( ~ day(X)
| ! [Y: $i] :
( ~ lion_lies(Y)
| lies_on_one_of(a_lion,X,Y)
| lion_lies(X)
| ~ day(Y) ) )
| ~ day(a_thursday)
| ! [Y: $i] :
( ~ lion_lies(Y)
| lies_on_one_of(a_lion,a_thursday,Y)
| lion_lies(a_thursday)
| ~ day(Y) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(139,plain,
( ~ ! [X: $i] :
( ~ day(X)
| ! [Y: $i] :
( ~ lion_lies(Y)
| lies_on_one_of(a_lion,X,Y)
| lion_lies(X)
| ~ day(Y) ) )
| ~ day(a_thursday)
| ! [Y: $i] :
( ~ lion_lies(Y)
| ~ day(Y)
| lion_lies(a_thursday)
| lies_on_one_of(a_lion,a_thursday,Y) ) ),
inference(modus_ponens,[status(thm)],[138,137]) ).
tff(140,plain,
! [Y: $i] :
( ~ lion_lies(Y)
| ~ day(Y)
| lion_lies(a_thursday)
| lies_on_one_of(a_lion,a_thursday,Y) ),
inference(unit_resolution,[status(thm)],[139,133,59]) ).
tff(141,plain,
^ [X: $i] :
refl(
( ( ~ lion_lies(X)
| ~ thursday(X) )
<=> ( ~ lion_lies(X)
| ~ thursday(X) ) )),
inference(bind,[status(th)],]) ).
tff(142,plain,
( ! [X: $i] :
( ~ lion_lies(X)
| ~ thursday(X) )
<=> ! [X: $i] :
( ~ lion_lies(X)
| ~ thursday(X) ) ),
inference(quant_intro,[status(thm)],[141]) ).
tff(143,plain,
( ! [X: $i] :
( ~ lion_lies(X)
| ~ thursday(X) )
<=> ! [X: $i] :
( ~ lion_lies(X)
| ~ thursday(X) ) ),
inference(rewrite,[status(thm)],]) ).
tff(144,plain,
^ [X: $i] :
rewrite(
( ( thursday(X)
=> ~ lion_lies(X) )
<=> ( ~ lion_lies(X)
| ~ thursday(X) ) )),
inference(bind,[status(th)],]) ).
tff(145,plain,
( ! [X: $i] :
( thursday(X)
=> ~ lion_lies(X) )
<=> ! [X: $i] :
( ~ lion_lies(X)
| ~ thursday(X) ) ),
inference(quant_intro,[status(thm)],[144]) ).
tff(146,axiom,
! [X: $i] :
( thursday(X)
=> ~ lion_lies(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lion_does_not_lie_thursday) ).
tff(147,plain,
! [X: $i] :
( ~ lion_lies(X)
| ~ thursday(X) ),
inference(modus_ponens,[status(thm)],[146,145]) ).
tff(148,plain,
! [X: $i] :
( ~ lion_lies(X)
| ~ thursday(X) ),
inference(modus_ponens,[status(thm)],[147,143]) ).
tff(149,plain,
! [X: $i] :
( ~ lion_lies(X)
| ~ thursday(X) ),
inference(skolemize,[status(sab)],[148]) ).
tff(150,plain,
! [X: $i] :
( ~ lion_lies(X)
| ~ thursday(X) ),
inference(modus_ponens,[status(thm)],[149,142]) ).
tff(151,plain,
( ( ~ ! [X: $i] :
( ~ lion_lies(X)
| ~ thursday(X) )
| ~ lion_lies(a_thursday)
| ~ thursday(a_thursday) )
<=> ( ~ ! [X: $i] :
( ~ lion_lies(X)
| ~ thursday(X) )
| ~ lion_lies(a_thursday)
| ~ thursday(a_thursday) ) ),
inference(rewrite,[status(thm)],]) ).
tff(152,plain,
( ~ ! [X: $i] :
( ~ lion_lies(X)
| ~ thursday(X) )
| ~ lion_lies(a_thursday)
| ~ thursday(a_thursday) ),
inference(quant_inst,[status(thm)],]) ).
tff(153,plain,
( ~ ! [X: $i] :
( ~ lion_lies(X)
| ~ thursday(X) )
| ~ lion_lies(a_thursday)
| ~ thursday(a_thursday) ),
inference(modus_ponens,[status(thm)],[152,151]) ).
tff(154,plain,
~ lion_lies(a_thursday),
inference(unit_resolution,[status(thm)],[153,13,150]) ).
tff(155,plain,
( ( ~ ! [Y: $i] :
( ~ lion_lies(Y)
| ~ day(Y)
| lion_lies(a_thursday)
| lies_on_one_of(a_lion,a_thursday,Y) )
| lion_lies(a_thursday)
| lies_on_one_of(a_lion,a_thursday,yesterday(a_thursday))
| ~ day(yesterday(a_thursday))
| ~ lion_lies(yesterday(a_thursday)) )
<=> ( ~ ! [Y: $i] :
( ~ lion_lies(Y)
| ~ day(Y)
| lion_lies(a_thursday)
| lies_on_one_of(a_lion,a_thursday,Y) )
| lion_lies(a_thursday)
| lies_on_one_of(a_lion,a_thursday,yesterday(a_thursday))
| ~ day(yesterday(a_thursday))
| ~ lion_lies(yesterday(a_thursday)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(156,plain,
( ( ~ lion_lies(yesterday(a_thursday))
| ~ day(yesterday(a_thursday))
| lion_lies(a_thursday)
| lies_on_one_of(a_lion,a_thursday,yesterday(a_thursday)) )
<=> ( lion_lies(a_thursday)
| lies_on_one_of(a_lion,a_thursday,yesterday(a_thursday))
| ~ day(yesterday(a_thursday))
| ~ lion_lies(yesterday(a_thursday)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(157,plain,
( ( ~ ! [Y: $i] :
( ~ lion_lies(Y)
| ~ day(Y)
| lion_lies(a_thursday)
| lies_on_one_of(a_lion,a_thursday,Y) )
| ~ lion_lies(yesterday(a_thursday))
| ~ day(yesterday(a_thursday))
| lion_lies(a_thursday)
| lies_on_one_of(a_lion,a_thursday,yesterday(a_thursday)) )
<=> ( ~ ! [Y: $i] :
( ~ lion_lies(Y)
| ~ day(Y)
| lion_lies(a_thursday)
| lies_on_one_of(a_lion,a_thursday,Y) )
| lion_lies(a_thursday)
| lies_on_one_of(a_lion,a_thursday,yesterday(a_thursday))
| ~ day(yesterday(a_thursday))
| ~ lion_lies(yesterday(a_thursday)) ) ),
inference(monotonicity,[status(thm)],[156]) ).
tff(158,plain,
( ( ~ ! [Y: $i] :
( ~ lion_lies(Y)
| ~ day(Y)
| lion_lies(a_thursday)
| lies_on_one_of(a_lion,a_thursday,Y) )
| ~ lion_lies(yesterday(a_thursday))
| ~ day(yesterday(a_thursday))
| lion_lies(a_thursday)
| lies_on_one_of(a_lion,a_thursday,yesterday(a_thursday)) )
<=> ( ~ ! [Y: $i] :
( ~ lion_lies(Y)
| ~ day(Y)
| lion_lies(a_thursday)
| lies_on_one_of(a_lion,a_thursday,Y) )
| lion_lies(a_thursday)
| lies_on_one_of(a_lion,a_thursday,yesterday(a_thursday))
| ~ day(yesterday(a_thursday))
| ~ lion_lies(yesterday(a_thursday)) ) ),
inference(transitivity,[status(thm)],[157,155]) ).
tff(159,plain,
( ~ ! [Y: $i] :
( ~ lion_lies(Y)
| ~ day(Y)
| lion_lies(a_thursday)
| lies_on_one_of(a_lion,a_thursday,Y) )
| ~ lion_lies(yesterday(a_thursday))
| ~ day(yesterday(a_thursday))
| lion_lies(a_thursday)
| lies_on_one_of(a_lion,a_thursday,yesterday(a_thursday)) ),
inference(quant_inst,[status(thm)],]) ).
tff(160,plain,
( ~ ! [Y: $i] :
( ~ lion_lies(Y)
| ~ day(Y)
| lion_lies(a_thursday)
| lies_on_one_of(a_lion,a_thursday,Y) )
| lion_lies(a_thursday)
| lies_on_one_of(a_lion,a_thursday,yesterday(a_thursday))
| ~ day(yesterday(a_thursday))
| ~ lion_lies(yesterday(a_thursday)) ),
inference(modus_ponens,[status(thm)],[159,158]) ).
tff(161,plain,
lies_on_one_of(a_lion,a_thursday,yesterday(a_thursday)),
inference(unit_resolution,[status(thm)],[160,154,140,117,31]) ).
tff(162,plain,
^ [X: $i] :
refl(
( ( ~ day(X)
| ~ lies_on_one_of(a_lion,X,yesterday(X))
| ~ lies_on_one_of(a_unicorn,X,yesterday(X)) )
<=> ( ~ day(X)
| ~ lies_on_one_of(a_lion,X,yesterday(X))
| ~ lies_on_one_of(a_unicorn,X,yesterday(X)) ) )),
inference(bind,[status(th)],]) ).
tff(163,plain,
( ! [X: $i] :
( ~ day(X)
| ~ lies_on_one_of(a_lion,X,yesterday(X))
| ~ lies_on_one_of(a_unicorn,X,yesterday(X)) )
<=> ! [X: $i] :
( ~ day(X)
| ~ lies_on_one_of(a_lion,X,yesterday(X))
| ~ lies_on_one_of(a_unicorn,X,yesterday(X)) ) ),
inference(quant_intro,[status(thm)],[162]) ).
tff(164,plain,
^ [X: $i] :
trans(
monotonicity(
rewrite(
( ( day(X)
& lies_on_one_of(a_lion,X,yesterday(X))
& lies_on_one_of(a_unicorn,X,yesterday(X)) )
<=> ~ ( ~ day(X)
| ~ lies_on_one_of(a_lion,X,yesterday(X))
| ~ lies_on_one_of(a_unicorn,X,yesterday(X)) ) )),
( ~ ( day(X)
& lies_on_one_of(a_lion,X,yesterday(X))
& lies_on_one_of(a_unicorn,X,yesterday(X)) )
<=> ~ ~ ( ~ day(X)
| ~ lies_on_one_of(a_lion,X,yesterday(X))
| ~ lies_on_one_of(a_unicorn,X,yesterday(X)) ) )),
rewrite(
( ~ ~ ( ~ day(X)
| ~ lies_on_one_of(a_lion,X,yesterday(X))
| ~ lies_on_one_of(a_unicorn,X,yesterday(X)) )
<=> ( ~ day(X)
| ~ lies_on_one_of(a_lion,X,yesterday(X))
| ~ lies_on_one_of(a_unicorn,X,yesterday(X)) ) )),
( ~ ( day(X)
& lies_on_one_of(a_lion,X,yesterday(X))
& lies_on_one_of(a_unicorn,X,yesterday(X)) )
<=> ( ~ day(X)
| ~ lies_on_one_of(a_lion,X,yesterday(X))
| ~ lies_on_one_of(a_unicorn,X,yesterday(X)) ) )),
inference(bind,[status(th)],]) ).
tff(165,plain,
( ! [X: $i] :
~ ( day(X)
& lies_on_one_of(a_lion,X,yesterday(X))
& lies_on_one_of(a_unicorn,X,yesterday(X)) )
<=> ! [X: $i] :
( ~ day(X)
| ~ lies_on_one_of(a_lion,X,yesterday(X))
| ~ lies_on_one_of(a_unicorn,X,yesterday(X)) ) ),
inference(quant_intro,[status(thm)],[164]) ).
tff(166,plain,
( ~ ? [X: $i] :
( day(X)
& lies_on_one_of(a_lion,X,yesterday(X))
& lies_on_one_of(a_unicorn,X,yesterday(X)) )
<=> ~ ? [X: $i] :
( day(X)
& lies_on_one_of(a_lion,X,yesterday(X))
& lies_on_one_of(a_unicorn,X,yesterday(X)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(167,plain,
( ~ ? [X: $i] :
( day(X)
& lies_on_one_of(a_lion,X,yesterday(X))
& lies_on_one_of(a_unicorn,X,yesterday(X)) )
<=> ~ ? [X: $i] :
( day(X)
& lies_on_one_of(a_lion,X,yesterday(X))
& lies_on_one_of(a_unicorn,X,yesterday(X)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(168,axiom,
~ ? [X: $i] :
( day(X)
& lies_on_one_of(a_lion,X,yesterday(X))
& lies_on_one_of(a_unicorn,X,yesterday(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_there_are_close_lying_days) ).
tff(169,plain,
~ ? [X: $i] :
( day(X)
& lies_on_one_of(a_lion,X,yesterday(X))
& lies_on_one_of(a_unicorn,X,yesterday(X)) ),
inference(modus_ponens,[status(thm)],[168,167]) ).
tff(170,plain,
~ ? [X: $i] :
( day(X)
& lies_on_one_of(a_lion,X,yesterday(X))
& lies_on_one_of(a_unicorn,X,yesterday(X)) ),
inference(modus_ponens,[status(thm)],[169,166]) ).
tff(171,plain,
~ ? [X: $i] :
( day(X)
& lies_on_one_of(a_lion,X,yesterday(X))
& lies_on_one_of(a_unicorn,X,yesterday(X)) ),
inference(modus_ponens,[status(thm)],[170,166]) ).
tff(172,plain,
~ ? [X: $i] :
( day(X)
& lies_on_one_of(a_lion,X,yesterday(X))
& lies_on_one_of(a_unicorn,X,yesterday(X)) ),
inference(modus_ponens,[status(thm)],[171,166]) ).
tff(173,plain,
~ ? [X: $i] :
( day(X)
& lies_on_one_of(a_lion,X,yesterday(X))
& lies_on_one_of(a_unicorn,X,yesterday(X)) ),
inference(modus_ponens,[status(thm)],[172,166]) ).
tff(174,plain,
~ ? [X: $i] :
( day(X)
& lies_on_one_of(a_lion,X,yesterday(X))
& lies_on_one_of(a_unicorn,X,yesterday(X)) ),
inference(modus_ponens,[status(thm)],[173,166]) ).
tff(175,plain,
~ ? [X: $i] :
( day(X)
& lies_on_one_of(a_lion,X,yesterday(X))
& lies_on_one_of(a_unicorn,X,yesterday(X)) ),
inference(modus_ponens,[status(thm)],[174,166]) ).
tff(176,plain,
^ [X: $i] :
refl(
$oeq(
~ ( day(X)
& lies_on_one_of(a_lion,X,yesterday(X))
& lies_on_one_of(a_unicorn,X,yesterday(X)) ),
~ ( day(X)
& lies_on_one_of(a_lion,X,yesterday(X))
& lies_on_one_of(a_unicorn,X,yesterday(X)) ))),
inference(bind,[status(th)],]) ).
tff(177,plain,
! [X: $i] :
~ ( day(X)
& lies_on_one_of(a_lion,X,yesterday(X))
& lies_on_one_of(a_unicorn,X,yesterday(X)) ),
inference(nnf-neg,[status(sab)],[175,176]) ).
tff(178,plain,
! [X: $i] :
( ~ day(X)
| ~ lies_on_one_of(a_lion,X,yesterday(X))
| ~ lies_on_one_of(a_unicorn,X,yesterday(X)) ),
inference(modus_ponens,[status(thm)],[177,165]) ).
tff(179,plain,
! [X: $i] :
( ~ day(X)
| ~ lies_on_one_of(a_lion,X,yesterday(X))
| ~ lies_on_one_of(a_unicorn,X,yesterday(X)) ),
inference(modus_ponens,[status(thm)],[178,163]) ).
tff(180,plain,
( ( ~ ! [X: $i] :
( ~ day(X)
| ~ lies_on_one_of(a_lion,X,yesterday(X))
| ~ lies_on_one_of(a_unicorn,X,yesterday(X)) )
| ~ day(a_thursday)
| ~ lies_on_one_of(a_lion,a_thursday,yesterday(a_thursday))
| ~ lies_on_one_of(a_unicorn,a_thursday,yesterday(a_thursday)) )
<=> ( ~ ! [X: $i] :
( ~ day(X)
| ~ lies_on_one_of(a_lion,X,yesterday(X))
| ~ lies_on_one_of(a_unicorn,X,yesterday(X)) )
| ~ day(a_thursday)
| ~ lies_on_one_of(a_lion,a_thursday,yesterday(a_thursday))
| ~ lies_on_one_of(a_unicorn,a_thursday,yesterday(a_thursday)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(181,plain,
( ~ ! [X: $i] :
( ~ day(X)
| ~ lies_on_one_of(a_lion,X,yesterday(X))
| ~ lies_on_one_of(a_unicorn,X,yesterday(X)) )
| ~ day(a_thursday)
| ~ lies_on_one_of(a_lion,a_thursday,yesterday(a_thursday))
| ~ lies_on_one_of(a_unicorn,a_thursday,yesterday(a_thursday)) ),
inference(quant_inst,[status(thm)],]) ).
tff(182,plain,
( ~ ! [X: $i] :
( ~ day(X)
| ~ lies_on_one_of(a_lion,X,yesterday(X))
| ~ lies_on_one_of(a_unicorn,X,yesterday(X)) )
| ~ day(a_thursday)
| ~ lies_on_one_of(a_lion,a_thursday,yesterday(a_thursday))
| ~ lies_on_one_of(a_unicorn,a_thursday,yesterday(a_thursday)) ),
inference(modus_ponens,[status(thm)],[181,180]) ).
tff(183,plain,
( ~ lies_on_one_of(a_lion,a_thursday,yesterday(a_thursday))
| ~ lies_on_one_of(a_unicorn,a_thursday,yesterday(a_thursday)) ),
inference(unit_resolution,[status(thm)],[182,179,59]) ).
tff(184,plain,
$false,
inference(unit_resolution,[status(thm)],[183,161,103]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : PUZ005+1 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Sep 2 18:19:59 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 0.22/0.42 % SZS status Theorem
% 0.22/0.42 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------