%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : PUZ005+1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 08:21:31 AM UTC 2026
% Result : Theorem 7.88s 2.06s
% Output : CNFRefutation 7.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 38 ( 7 unt; 0 def)
% Number of atoms : 109 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 129 ( 58 ~; 52 |; 6 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 33 ( 0 sgn 11 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thursday,axiom,
thursday('a$uthursday') ).
fof(wednesday_is_a_day,axiom,
! [X0] :
( wednesday(X0)
=> day(X0) ) ).
fof(thursday_is_a_day,axiom,
! [X0] :
( thursday(X0)
=> day(X0) ) ).
fof(thursday_follows_wednesday,axiom,
! [X0] :
( thursday(X0)
=> wednesday(yesterday(X0)) ) ).
fof(lion_lies_wednesday,axiom,
! [X0] :
( wednesday(X0)
=> 'lion$ulies'(X0) ) ).
fof(lion_does_not_lie_thursday,axiom,
! [X0] :
( thursday(X0)
=> ~ 'lion$ulies'(X0) ) ).
fof(unicorn_does_not_lie_wednesday,axiom,
! [X0] :
( wednesday(X0)
=> ~ 'unicorn$ulies'(X0) ) ).
fof(unicorn_lies_thursday,axiom,
! [X0] :
( thursday(X0)
=> 'unicorn$ulies'(X0) ) ).
fof(lion_lies_on_neither,axiom,
! [X0] :
( day(X0)
=> ! [X1] :
( day(X1)
=> ( ( ~ 'lies$uon$uone$uof'('a$ulion',X0,X1)
& ~ 'lion$ulies'(X0) )
=> ~ 'lion$ulies'(X1) ) ) ) ).
fof(unicorn_lies_on_both,axiom,
! [X0] :
( day(X0)
=> ! [X1] :
( day(X1)
=> ( ( ~ 'lies$uon$uone$uof'('a$uunicorn',X0,X1)
& 'unicorn$ulies'(X0) )
=> 'unicorn$ulies'(X1) ) ) ) ).
fof(prove_there_are_close_lying_days,conjecture,
? [X0] :
( 'lies$uon$uone$uof'('a$uunicorn',X0,yesterday(X0))
& 'lies$uon$uone$uof'('a$ulion',X0,yesterday(X0))
& day(X0) ) ).
fof(negated_conjecture,negated_conjecture,
~ ? [X0] :
( 'lies$uon$uone$uof'('a$uunicorn',X0,yesterday(X0))
& 'lies$uon$uone$uof'('a$ulion',X0,yesterday(X0))
& day(X0) ),
inference(negate_conjecture,[status(cth)],[prove_there_are_close_lying_days]) ).
cnf(c3,plain,
thursday('a$uthursday'),
inference(clausification,[status(esa)],[thursday]) ).
cnf(c9,plain,
( day(X0)
| ~ wednesday(X0) ),
inference(clausification,[status(esa)],[wednesday_is_a_day]) ).
cnf(c10,plain,
( day(X0)
| ~ thursday(X0) ),
inference(clausification,[status(esa)],[thursday_is_a_day]) ).
cnf(c17,plain,
( wednesday(yesterday(X0))
| ~ thursday(X0) ),
inference(clausification,[status(esa)],[thursday_follows_wednesday]) ).
cnf(c23,plain,
( 'lion$ulies'(X0)
| ~ wednesday(X0) ),
inference(clausification,[status(esa)],[lion_lies_wednesday]) ).
cnf(c24,plain,
( ~ 'lion$ulies'(X0)
| ~ thursday(X0) ),
inference(clausification,[status(esa)],[lion_does_not_lie_thursday]) ).
cnf(c30,plain,
( ~ 'unicorn$ulies'(X0)
| ~ wednesday(X0) ),
inference(clausification,[status(esa)],[unicorn_does_not_lie_wednesday]) ).
cnf(c31,plain,
( 'unicorn$ulies'(X0)
| ~ thursday(X0) ),
inference(clausification,[status(esa)],[unicorn_lies_thursday]) ).
cnf(c39,plain,
( ~ day(X0)
| ~ day(X1)
| 'lies$uon$uone$uof'('a$ulion',X0,X1)
| ~ 'lion$ulies'(X1)
| 'lion$ulies'(X0) ),
inference(clausification,[status(esa)],[lion_lies_on_neither]) ).
cnf(c44,plain,
( 'unicorn$ulies'(X0)
| 'lies$uon$uone$uof'('a$uunicorn',X1,X0)
| ~ day(X1)
| ~ 'unicorn$ulies'(X1)
| ~ day(X0) ),
inference(clausification,[status(esa)],[unicorn_lies_on_both]) ).
cnf(c45,plain,
( ~ 'lies$uon$uone$uof'('a$uunicorn',X0,yesterday(X0))
| ~ 'lies$uon$uone$uof'('a$ulion',X0,yesterday(X0))
| ~ day(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
'unicorn$ulies'('a$uthursday'),
inference(resolution,[status(thm)],[c31,c3]) ).
cnf(d1,plain,
( day(yesterday(X0))
| ~ thursday(X0) ),
inference(resolution,[status(thm)],[c17,c9]) ).
cnf(d2,plain,
( ~ thursday(X0)
| 'lion$ulies'(yesterday(X0)) ),
inference(resolution,[status(thm)],[c23,c17]) ).
cnf(d3,plain,
( ~ 'lies$uon$uone$uof'('a$ulion',X0,yesterday(X0))
| ~ day(X0)
| ~ 'unicorn$ulies'(X0)
| 'unicorn$ulies'(yesterday(X0))
| ~ day(X0)
| ~ day(yesterday(X0)) ),
inference(resolution,[status(thm)],[c44,c45]) ).
cnf(d4,plain,
( ~ 'lion$ulies'(yesterday(X0))
| 'lion$ulies'(X0)
| ~ day(yesterday(X0))
| ~ day(X0)
| 'unicorn$ulies'(yesterday(X0))
| ~ 'unicorn$ulies'(X0)
| ~ day(yesterday(X0))
| ~ day(X0) ),
inference(resolution,[status(thm)],[d3,c39]) ).
cnf(d5,plain,
( ~ thursday(X0)
| 'unicorn$ulies'(yesterday(X0))
| ~ 'unicorn$ulies'(X0)
| 'lion$ulies'(X0)
| ~ day(yesterday(X0))
| ~ day(X0) ),
inference(resolution,[status(thm)],[d4,d2]) ).
cnf(d6,plain,
( ~ thursday(X0)
| 'unicorn$ulies'(yesterday(X0))
| ~ 'unicorn$ulies'(X0)
| 'lion$ulies'(X0)
| ~ day(X0)
| ~ thursday(X0) ),
inference(resolution,[status(thm)],[d5,d1]) ).
cnf(d7,plain,
( ~ wednesday(yesterday(X0))
| ~ 'unicorn$ulies'(X0)
| 'lion$ulies'(X0)
| ~ day(X0)
| ~ thursday(X0) ),
inference(resolution,[status(thm)],[d6,c30]) ).
cnf(d8,plain,
( ~ thursday(X0)
| ~ 'unicorn$ulies'(X0)
| 'lion$ulies'(X0)
| ~ day(X0)
| ~ thursday(X0) ),
inference(resolution,[status(thm)],[d7,c17]) ).
cnf(d9,plain,
( 'lion$ulies'('a$uthursday')
| ~ day('a$uthursday')
| ~ thursday('a$uthursday') ),
inference(resolution,[status(thm)],[d8,d0]) ).
cnf(d10,plain,
( 'lion$ulies'('a$uthursday')
| ~ day('a$uthursday') ),
inference(resolution,[status(thm)],[c3,d9]) ).
cnf(d11,plain,
day('a$uthursday'),
inference(resolution,[status(thm)],[c10,c3]) ).
cnf(d12,plain,
'lion$ulies'('a$uthursday'),
inference(resolution,[status(thm)],[d11,d10]) ).
cnf(d13,plain,
~ thursday('a$uthursday'),
inference(resolution,[status(thm)],[d12,c24]) ).
cnf(d14,plain,
$false,
inference(resolution,[status(thm)],[c3,d13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ005+1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n003.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sat Sep 26 05:04:38 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.88/2.06 % SZS status Theorem for theBenchmark.p
% 7.88/2.06 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------