%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : PUZ005+1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n004.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 : Fri Sep 25 02:31:49 PM UTC 2026
% Result : Theorem 26.75s 4.16s
% Output : Proof 26.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 62 ( 12 unt; 0 def)
% Number of atoms : 147 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 157 ( 72 ~; 66 |; 6 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 51 ( 0 sgn 35 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f17,axiom,
! [X] :
( thursday(X)
=> wednesday(yesterday(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thursday_follows_wednesday) ).
fof(f17_nnf,plain,
! [X] :
( wednesday(yesterday(X))
| ~ thursday(X) ),
inference(nnf_transformation,[status(thm)],[f17]) ).
fof(f17_sk,plain,
! [X] :
( wednesday(yesterday(X))
| ~ thursday(X) ),
inference(skolemisation,[status(esa)],[f17_nnf]) ).
cnf(c17,plain,
( wednesday(yesterday(X0))
| ~ thursday(X0) ),
inference(cnf_transformation,[status(esa)],[f17_sk]) ).
fof(f3,axiom,
thursday(a_thursday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thursday) ).
fof(f3_nnf,plain,
thursday(a_thursday),
inference(nnf_transformation,[status(thm)],[f3]) ).
cnf(c3,plain,
thursday(a_thursday),
inference(cnf_transformation,[status(esa)],[f3_nnf]) ).
cnf(p56,plain,
wednesday(yesterday(a_thursday)),
inference(resolution,[status(thm)],[c17,c3]) ).
fof(f9,axiom,
! [X] :
( wednesday(X)
=> day(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wednesday_is_a_day) ).
fof(f9_nnf,plain,
! [X] :
( day(X)
| ~ wednesday(X) ),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
! [X] :
( day(X)
| ~ wednesday(X) ),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c9,plain,
( day(X0)
| ~ wednesday(X0) ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(p129,plain,
day(yesterday(a_thursday)),
inference(resolution,[status(thm)],[p56,c9]) ).
fof(f10,axiom,
! [X] :
( thursday(X)
=> day(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thursday_is_a_day) ).
fof(f10_nnf,plain,
! [X] :
( day(X)
| ~ thursday(X) ),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
! [X] :
( day(X)
| ~ thursday(X) ),
inference(skolemisation,[status(esa)],[f10_nnf]) ).
cnf(c10,plain,
( day(X0)
| ~ thursday(X0) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p49,plain,
day(a_thursday),
inference(resolution,[status(thm)],[c10,c3]) ).
fof(f39,axiom,
! [X] :
( day(X)
=> ! [Y] :
( day(Y)
=> ( ( ~ lies_on_one_of(a_lion,X,Y)
& ~ lion_lies(X) )
=> ~ lion_lies(Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lion_lies_on_neither) ).
fof(f39_nnf,plain,
! [X] :
( ! [Y] :
( ~ lion_lies(Y)
| lies_on_one_of(a_lion,X,Y)
| lion_lies(X)
| ~ day(Y) )
| ~ day(X) ),
inference(nnf_transformation,[status(thm)],[f39]) ).
fof(f39_sk,plain,
! [X,Y] :
( ~ lion_lies(Y)
| lies_on_one_of(a_lion,X,Y)
| lion_lies(X)
| ~ day(Y)
| ~ day(X) ),
inference(skolemisation,[status(esa)],[f39_nnf]) ).
cnf(c39,plain,
( ~ lion_lies(X1)
| lies_on_one_of(a_lion,X0,X1)
| lion_lies(X0)
| ~ day(X1)
| ~ day(X0) ),
inference(cnf_transformation,[status(esa)],[f39_sk]) ).
cnf(p98,plain,
( ~ lion_lies(X0)
| lies_on_one_of(a_lion,a_thursday,X0)
| lion_lies(a_thursday)
| ~ day(X0) ),
inference(resolution,[status(thm)],[p49,c39]) ).
cnf(p327,plain,
( ~ lion_lies(yesterday(a_thursday))
| lies_on_one_of(a_lion,a_thursday,yesterday(a_thursday))
| lion_lies(a_thursday) ),
inference(resolution,[status(thm)],[p129,p98]) ).
fof(f23,axiom,
! [X] :
( wednesday(X)
=> lion_lies(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lion_lies_wednesday) ).
fof(f23_nnf,plain,
! [X] :
( lion_lies(X)
| ~ wednesday(X) ),
inference(nnf_transformation,[status(thm)],[f23]) ).
fof(f23_sk,plain,
! [X] :
( lion_lies(X)
| ~ wednesday(X) ),
inference(skolemisation,[status(esa)],[f23_nnf]) ).
cnf(c23,plain,
( lion_lies(X0)
| ~ wednesday(X0) ),
inference(cnf_transformation,[status(esa)],[f23_sk]) ).
cnf(p131,plain,
lion_lies(yesterday(a_thursday)),
inference(resolution,[status(thm)],[p56,c23]) ).
cnf(p728,plain,
( lies_on_one_of(a_lion,a_thursday,yesterday(a_thursday))
| lion_lies(a_thursday) ),
inference(resolution,[status(thm)],[p327,p131]) ).
fof(f45,conjecture,
? [X] :
( lies_on_one_of(a_unicorn,X,yesterday(X))
& lies_on_one_of(a_lion,X,yesterday(X))
& day(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_there_are_close_lying_days) ).
fof(f45_neg,negated_conjecture,
~ ? [X] :
( lies_on_one_of(a_unicorn,X,yesterday(X))
& lies_on_one_of(a_lion,X,yesterday(X))
& day(X) ),
inference(negated_conjecture,[status(cth)],[f45]) ).
fof(f45_nnf,plain,
! [X] :
( ~ lies_on_one_of(a_unicorn,X,yesterday(X))
| ~ lies_on_one_of(a_lion,X,yesterday(X))
| ~ day(X) ),
inference(nnf_transformation,[status(thm)],[f45_neg]) ).
fof(f45_sk,plain,
! [X] :
( ~ lies_on_one_of(a_unicorn,X,yesterday(X))
| ~ lies_on_one_of(a_lion,X,yesterday(X))
| ~ day(X) ),
inference(skolemisation,[status(esa)],[f45_nnf]) ).
cnf(c45,plain,
( ~ lies_on_one_of(a_unicorn,X0,yesterday(X0))
| ~ lies_on_one_of(a_lion,X0,yesterday(X0))
| ~ day(X0) ),
inference(cnf_transformation,[status(esa)],[f45_sk]) ).
cnf(p101,plain,
( ~ lies_on_one_of(a_unicorn,a_thursday,yesterday(a_thursday))
| ~ lies_on_one_of(a_lion,a_thursday,yesterday(a_thursday)) ),
inference(resolution,[status(thm)],[p49,c45]) ).
cnf(p1396,plain,
( ~ lies_on_one_of(a_unicorn,a_thursday,yesterday(a_thursday))
| lion_lies(a_thursday) ),
inference(resolution,[status(thm)],[p728,p101]) ).
fof(f44,axiom,
! [X] :
( day(X)
=> ! [Y] :
( day(Y)
=> ( ( ~ lies_on_one_of(a_unicorn,X,Y)
& unicorn_lies(X) )
=> unicorn_lies(Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unicorn_lies_on_both) ).
fof(f44_nnf,plain,
! [X] :
( ! [Y] :
( unicorn_lies(Y)
| lies_on_one_of(a_unicorn,X,Y)
| ~ unicorn_lies(X)
| ~ day(Y) )
| ~ day(X) ),
inference(nnf_transformation,[status(thm)],[f44]) ).
fof(f44_sk,plain,
! [X,Y] :
( unicorn_lies(Y)
| lies_on_one_of(a_unicorn,X,Y)
| ~ unicorn_lies(X)
| ~ day(Y)
| ~ day(X) ),
inference(skolemisation,[status(esa)],[f44_nnf]) ).
cnf(c44,plain,
( unicorn_lies(X1)
| lies_on_one_of(a_unicorn,X0,X1)
| ~ unicorn_lies(X0)
| ~ day(X1)
| ~ day(X0) ),
inference(cnf_transformation,[status(esa)],[f44_sk]) ).
cnf(p100,plain,
( unicorn_lies(X0)
| lies_on_one_of(a_unicorn,a_thursday,X0)
| ~ unicorn_lies(a_thursday)
| ~ day(X0) ),
inference(resolution,[status(thm)],[p49,c44]) ).
cnf(p328,plain,
( unicorn_lies(yesterday(a_thursday))
| lies_on_one_of(a_unicorn,a_thursday,yesterday(a_thursday))
| ~ unicorn_lies(a_thursday) ),
inference(resolution,[status(thm)],[p129,p100]) ).
fof(f31,axiom,
! [X] :
( thursday(X)
=> unicorn_lies(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unicorn_lies_thursday) ).
fof(f31_nnf,plain,
! [X] :
( unicorn_lies(X)
| ~ thursday(X) ),
inference(nnf_transformation,[status(thm)],[f31]) ).
fof(f31_sk,plain,
! [X] :
( unicorn_lies(X)
| ~ thursday(X) ),
inference(skolemisation,[status(esa)],[f31_nnf]) ).
cnf(c31,plain,
( unicorn_lies(X0)
| ~ thursday(X0) ),
inference(cnf_transformation,[status(esa)],[f31_sk]) ).
cnf(p70,plain,
unicorn_lies(a_thursday),
inference(resolution,[status(thm)],[c31,c3]) ).
cnf(p729,plain,
( unicorn_lies(yesterday(a_thursday))
| lies_on_one_of(a_unicorn,a_thursday,yesterday(a_thursday)) ),
inference(resolution,[status(thm)],[p328,p70]) ).
cnf(p2426,plain,
( unicorn_lies(yesterday(a_thursday))
| lion_lies(a_thursday) ),
inference(resolution,[status(thm)],[p1396,p729]) ).
fof(f30,axiom,
! [X] :
( wednesday(X)
=> ~ unicorn_lies(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unicorn_does_not_lie_wednesday) ).
fof(f30_nnf,plain,
! [X] :
( ~ unicorn_lies(X)
| ~ wednesday(X) ),
inference(nnf_transformation,[status(thm)],[f30]) ).
fof(f30_sk,plain,
! [X] :
( ~ unicorn_lies(X)
| ~ wednesday(X) ),
inference(skolemisation,[status(esa)],[f30_nnf]) ).
cnf(c30,plain,
( ~ unicorn_lies(X0)
| ~ wednesday(X0) ),
inference(cnf_transformation,[status(esa)],[f30_sk]) ).
cnf(p132,plain,
~ unicorn_lies(yesterday(a_thursday)),
inference(resolution,[status(thm)],[p56,c30]) ).
cnf(p3820,plain,
lion_lies(a_thursday),
inference(resolution,[status(thm)],[p2426,p132]) ).
fof(f24,axiom,
! [X] :
( thursday(X)
=> ~ lion_lies(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lion_does_not_lie_thursday) ).
fof(f24_nnf,plain,
! [X] :
( ~ lion_lies(X)
| ~ thursday(X) ),
inference(nnf_transformation,[status(thm)],[f24]) ).
fof(f24_sk,plain,
! [X] :
( ~ lion_lies(X)
| ~ thursday(X) ),
inference(skolemisation,[status(esa)],[f24_nnf]) ).
cnf(c24,plain,
( ~ lion_lies(X0)
| ~ thursday(X0) ),
inference(cnf_transformation,[status(esa)],[f24_sk]) ).
cnf(p63,plain,
~ lion_lies(a_thursday),
inference(resolution,[status(thm)],[c24,c3]) ).
cnf(p5535,plain,
$false,
inference(resolution,[status(thm)],[p3820,p63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ005+1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.57 % Computer : n004.cluster.edu
% 0.09/0.57 % Model : x86_64 x86_64
% 0.09/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.57 % Memory : 8046.5625MB
% 0.09/0.57 % OS : Linux 6.8.0-71-generic
% 0.09/0.57 % CPULimit : 300
% 0.09/0.57 % WCLimit : 300
% 0.09/0.57 % DateTime : Thu Sep 24 06:36:21 UTC 2026
% 0.09/0.58 % CPUTime :
% 0.09/0.58 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 26.75/4.16 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 26.75/4.16 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------