%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PUZ061+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n010.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 : Tue Sep 29 12:32:07 PM UTC 2026
% Result : Theorem 0.22s 0.55s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 16 ( 6 unt; 0 def)
% Number of atoms : 103 ( 0 equ)
% Maximal formula atoms : 17 ( 6 avg)
% Number of connectives : 115 ( 28 ~; 21 |; 48 &)
% ( 0 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 9 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 78 ( 63 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0,X1,X2,X3,X4,X5] :
( ( ! [X6,X7] :
( ( alive(X7)
& eats(X7,X5) )
=> likes(X7,X6) )
& ! [X6] :
( food(X6)
=> likes(X1,X6) )
& food(X4)
& food(X5)
& ! [X6] :
( ? [X7] :
( eats(X7,X6)
& not_killed_by(X7,X6) )
=> food(X6) )
& eats(X2,X0)
& alive(X2)
& ! [X6] :
( eats(X2,X6)
=> eats(X3,X6) )
& ! [X7] :
( alive(X7)
=> ! [X6] : not_killed_by(X7,X6) ) )
=> likes(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f2,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5] :
( ( ! [X6,X7] :
( ( alive(X7)
& eats(X7,X5) )
=> likes(X7,X6) )
& ! [X6] :
( food(X6)
=> likes(X1,X6) )
& food(X4)
& food(X5)
& ! [X6] :
( ? [X7] :
( eats(X7,X6)
& not_killed_by(X7,X6) )
=> food(X6) )
& eats(X2,X0)
& alive(X2)
& ! [X6] :
( eats(X2,X6)
=> eats(X3,X6) )
& ! [X7] :
( alive(X7)
=> ! [X6] : not_killed_by(X7,X6) ) )
=> likes(X1,X0) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
~ ! [X0,X1,X2,X3,X4,X5] :
( ( ! [X6,X7] :
( ( alive(X7)
& eats(X7,X5) )
=> likes(X7,X6) )
& ! [X8] :
( food(X8)
=> likes(X1,X8) )
& food(X4)
& food(X5)
& ! [X9] :
( ? [X10] :
( eats(X10,X9)
& not_killed_by(X10,X9) )
=> food(X9) )
& eats(X2,X0)
& alive(X2)
& ! [X11] :
( eats(X2,X11)
=> eats(X3,X11) )
& ! [X12] :
( alive(X12)
=> ! [X13] : not_killed_by(X12,X13) ) )
=> likes(X1,X0) ),
inference(rectify,[],[f2]) ).
fof(f4,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ likes(X1,X0)
& ! [X6,X7] :
( likes(X7,X6)
| ~ alive(X7)
| ~ eats(X7,X5) )
& ! [X8] :
( likes(X1,X8)
| ~ food(X8) )
& food(X4)
& food(X5)
& ! [X9] :
( food(X9)
| ! [X10] :
( ~ eats(X10,X9)
| ~ not_killed_by(X10,X9) ) )
& eats(X2,X0)
& alive(X2)
& ! [X11] :
( eats(X3,X11)
| ~ eats(X2,X11) )
& ! [X12] :
( ! [X13] : not_killed_by(X12,X13)
| ~ alive(X12) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f5,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ likes(X1,X0)
& ! [X6,X7] :
( likes(X7,X6)
| ~ alive(X7)
| ~ eats(X7,X5) )
& ! [X8] :
( likes(X1,X8)
| ~ food(X8) )
& food(X4)
& food(X5)
& ! [X9] :
( food(X9)
| ! [X10] :
( ~ eats(X10,X9)
| ~ not_killed_by(X10,X9) ) )
& eats(X2,X0)
& alive(X2)
& ! [X11] :
( eats(X3,X11)
| ~ eats(X2,X11) )
& ! [X12] :
( ! [X13] : not_killed_by(X12,X13)
| ~ alive(X12) ) ),
inference(flattening,[],[f4]) ).
fof(f6,plain,
! [X10,X9] :
( ~ not_killed_by(X10,X9)
| ~ eats(X10,X9)
| food(X9) ),
inference(cnf_transformation,[],[f5]) ).
fof(f8,plain,
! [X8] :
( likes(sK1,X8)
| ~ food(X8) ),
inference(cnf_transformation,[],[f5]) ).
fof(f10,plain,
! [X12,X13] :
( not_killed_by(X12,X13)
| ~ alive(X12) ),
inference(cnf_transformation,[],[f5]) ).
fof(f11,plain,
alive(sK2),
inference(cnf_transformation,[],[f5]) ).
fof(f12,plain,
eats(sK2,sK0),
inference(cnf_transformation,[],[f5]) ).
fof(f15,plain,
~ likes(sK1,sK0),
inference(cnf_transformation,[],[f5]) ).
fof(f16,plain,
~ food(sK0),
inference(resolution,[],[f8,f15]) ).
fof(f17,plain,
! [X0,X1] :
( ~ alive(X0)
| food(X1)
| ~ eats(X0,X1) ),
inference(resolution,[],[f6,f10]) ).
fof(f18,plain,
! [X0] :
( food(X0)
| ~ eats(sK2,X0) ),
inference(resolution,[],[f17,f11]) ).
fof(f29,plain,
~ eats(sK2,sK0),
inference(resolution,[],[f18,f16]) ).
fof(f30,plain,
$false,
inference(forward_subsumption_resolution,[],[f29,f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : PUZ061+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.18/0.45 % Computer : n010.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Sun Sep 27 22:38:32 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.22/0.50 Running first-order model finding
% 0.22/0.51 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.55 % (1374590)Will run a generic schedule for satisfiability detection.
% 0.22/0.55 % (1374599)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1191633250:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.22/0.55 % (1374599) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1374590-1374599"...
% 0.22/0.55 % (1374599)...printing done.
% 0.22/0.55 % (1374599)Refutation found. Thanks to Tanya!
% 0.22/0.55 % SZS status Theorem for theBenchmark
% 0.22/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.55 % (1374599)------------------------------
% 0.22/0.55 % (1374599)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.55 % (1374599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.55 % (1374599)CaDiCaL version: 2.1.3
% 0.22/0.55 % (1374599)Termination reason: Refutation
% 0.22/0.55 % (1374599)Time elapsed: 0.002 s
% 0.22/0.55 % (1374599)Peak memory usage: 11 MB
% 0.22/0.55 % (1374599)Instructions burned: 1 (million)
% 0.22/0.55 % (1374590)Success in time 0.036 s
% 0.22/0.55 % Vampire exiting
%------------------------------------------------------------------------------