%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : PUZ005+1 : TPTP v9.0.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 : Fri Jul 25 01:24:24 PM UTC 2025
% Result : Theorem 0.18s 0.45s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 12
% Syntax : Number of formulae : 52 ( 12 unt; 0 def)
% Number of atoms : 114 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 113 ( 51 ~; 42 |; 6 &)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 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 : 27 ( 0 sgn 12 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_there_are_close_lying_days,plain,
? [X] :
( 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) ).
fof(prove_there_are_close_lying_days_negated,plain,
~ ? [X] :
( day(X)
& lies_on_one_of(a_lion,X,yesterday(X))
& lies_on_one_of(a_unicorn,X,yesterday(X)) ),
inference(negate_conjecture,[status(cth)],[prove_there_are_close_lying_days]) ).
cnf(45,plain,
( ~ day(X0)
| ~ lies_on_one_of(a_lion,X0,yesterday(X0))
| ~ lies_on_one_of(a_unicorn,X0,yesterday(X0)) ),
inference(cnf,[status(esa)],[prove_there_are_close_lying_days_negated]) ).
cnf(l0,plain,
( ~ 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(instantiation,[status(thm)],[45]) ).
fof(thursday_is_a_day,plain,
! [X] :
( thursday(X)
=> day(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thursday_is_a_day) ).
cnf(10,plain,
( ~ thursday(X0)
| day(X0) ),
inference(cnf,[status(esa)],[thursday_is_a_day]) ).
cnf(l2,plain,
( ~ thursday(a_thursday)
| day(a_thursday) ),
inference(instantiation,[status(thm)],[10]) ).
fof(thursday,plain,
thursday(a_thursday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thursday) ).
cnf(3,plain,
thursday(a_thursday),
inference(cnf,[status(esa)],[thursday]) ).
cnf(l6,plain,
thursday(a_thursday),
inference(instantiation,[status(thm)],[3]) ).
fof(lion_lies_on_neither,plain,
! [X] :
( day(X)
=> ! [Y] :
( 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) ).
cnf(39,plain,
( ~ lion_lies(X0)
| ~ day(X1)
| ~ day(X0)
| lion_lies(X1)
| lies_on_one_of(a_lion,X1,X0) ),
inference(cnf,[status(esa)],[lion_lies_on_neither]) ).
cnf(l1,plain,
( ~ lion_lies(yesterday(a_thursday))
| ~ day(a_thursday)
| ~ day(yesterday(a_thursday))
| lion_lies(a_thursday)
| lies_on_one_of(a_lion,a_thursday,yesterday(a_thursday)) ),
inference(instantiation,[status(thm)],[39]) ).
fof(lion_does_not_lie_thursday,plain,
! [X] :
( thursday(X)
=> ~ lion_lies(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lion_does_not_lie_thursday) ).
cnf(24,plain,
( ~ thursday(X0)
| ~ lion_lies(X0) ),
inference(cnf,[status(esa)],[lion_does_not_lie_thursday]) ).
cnf(l4,plain,
( ~ thursday(a_thursday)
| ~ lion_lies(a_thursday) ),
inference(instantiation,[status(thm)],[24]) ).
cnf(l97,plain,
thursday(a_thursday),
inference(instantiation,[status(thm)],[3]) ).
fof(unicorn_lies_on_both,plain,
! [X] :
( day(X)
=> ! [Y] :
( 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) ).
cnf(44,plain,
( ~ day(X0)
| ~ day(X1)
| ~ unicorn_lies(X0)
| unicorn_lies(X1)
| lies_on_one_of(a_unicorn,X0,X1) ),
inference(cnf,[status(esa)],[unicorn_lies_on_both]) ).
cnf(l3,plain,
( ~ day(a_thursday)
| ~ day(yesterday(a_thursday))
| ~ unicorn_lies(a_thursday)
| unicorn_lies(yesterday(a_thursday))
| lies_on_one_of(a_unicorn,a_thursday,yesterday(a_thursday)) ),
inference(instantiation,[status(thm)],[44]) ).
cnf(l8,plain,
( ~ thursday(a_thursday)
| day(a_thursday) ),
inference(instantiation,[status(thm)],[10]) ).
fof(lion_lies_wednesday,plain,
! [X] :
( wednesday(X)
=> lion_lies(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lion_lies_wednesday) ).
cnf(23,plain,
( ~ wednesday(X0)
| lion_lies(X0) ),
inference(cnf,[status(esa)],[lion_lies_wednesday]) ).
cnf(l7,plain,
( ~ wednesday(yesterday(a_thursday))
| lion_lies(yesterday(a_thursday)) ),
inference(instantiation,[status(thm)],[23]) ).
fof(thursday_follows_wednesday,plain,
! [X] :
( thursday(X)
=> wednesday(yesterday(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thursday_follows_wednesday) ).
cnf(17,plain,
( ~ thursday(X0)
| wednesday(yesterday(X0)) ),
inference(cnf,[status(esa)],[thursday_follows_wednesday]) ).
cnf(l30,plain,
( ~ thursday(a_thursday)
| wednesday(yesterday(a_thursday)) ),
inference(instantiation,[status(thm)],[17]) ).
fof(unicorn_lies_on_a_day,plain,
! [X] :
( unicorn_lies(X)
=> day(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unicorn_lies_on_a_day) ).
cnf(36,plain,
( ~ unicorn_lies(X0)
| day(X0) ),
inference(cnf,[status(esa)],[unicorn_lies_on_a_day]) ).
cnf(l10,plain,
( ~ unicorn_lies(a_thursday)
| day(a_thursday) ),
inference(instantiation,[status(thm)],[36]) ).
fof(unicorn_lies_thursday,plain,
! [X] :
( thursday(X)
=> unicorn_lies(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unicorn_lies_thursday) ).
cnf(31,plain,
( ~ thursday(X0)
| unicorn_lies(X0) ),
inference(cnf,[status(esa)],[unicorn_lies_thursday]) ).
cnf(l38,plain,
( ~ thursday(a_thursday)
| unicorn_lies(a_thursday) ),
inference(instantiation,[status(thm)],[31]) ).
fof(wednesday_is_a_day,plain,
! [X] :
( wednesday(X)
=> day(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wednesday_is_a_day) ).
cnf(9,plain,
( ~ wednesday(X0)
| day(X0) ),
inference(cnf,[status(esa)],[wednesday_is_a_day]) ).
cnf(l12,plain,
( ~ wednesday(yesterday(a_thursday))
| day(yesterday(a_thursday)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l15,plain,
( ~ thursday(a_thursday)
| wednesday(yesterday(a_thursday)) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(l17,plain,
thursday(a_thursday),
inference(instantiation,[status(thm)],[3]) ).
cnf(l9,plain,
( ~ thursday(a_thursday)
| unicorn_lies(a_thursday) ),
inference(instantiation,[status(thm)],[31]) ).
cnf(l37,plain,
thursday(a_thursday),
inference(instantiation,[status(thm)],[3]) ).
cnf(l46,plain,
thursday(a_thursday),
inference(instantiation,[status(thm)],[3]) ).
cnf(l14,plain,
( ~ wednesday(yesterday(a_thursday))
| day(yesterday(a_thursday)) ),
inference(instantiation,[status(thm)],[9]) ).
fof(unicorn_does_not_lie_wednesday,plain,
! [X] :
( wednesday(X)
=> ~ unicorn_lies(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unicorn_does_not_lie_wednesday) ).
cnf(30,plain,
( ~ wednesday(X0)
| ~ unicorn_lies(X0) ),
inference(cnf,[status(esa)],[unicorn_does_not_lie_wednesday]) ).
cnf(l5,plain,
( ~ wednesday(yesterday(a_thursday))
| ~ unicorn_lies(yesterday(a_thursday)) ),
inference(instantiation,[status(thm)],[30]) ).
cnf(l31,plain,
( ~ thursday(a_thursday)
| wednesday(yesterday(a_thursday)) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(l51,plain,
thursday(a_thursday),
inference(instantiation,[status(thm)],[3]) ).
cnf(l80,plain,
( ~ thursday(a_thursday)
| wednesday(yesterday(a_thursday)) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(l82,plain,
thursday(a_thursday),
inference(instantiation,[status(thm)],[3]) ).
cnf(l16,plain,
thursday(a_thursday),
inference(instantiation,[status(thm)],[3]) ).
cnf(l35,plain,
thursday(a_thursday),
inference(instantiation,[status(thm)],[3]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l2,l6,l1,l4,l97,l3,l8,l7,l30,l10,l38,l12,l15,l17,l9,l37,l46,l14,l5,l31,l51,l80,l82,l16,l35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : PUZ005+1 : TPTP v9.0.0. Released v2.2.0.
% 0.11/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Jul 21 15:47:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.35 % launching worker at depth: 11
% 0.18/0.45 % SZS status Theorem for theBenchmark
% 0.18/0.45 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------