%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PUZ060+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n007.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 0.18s 0.47s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 17 ( 6 unt; 0 def)
% Number of atoms : 102 ( 0 equ)
% Maximal formula atoms : 14 ( 6 avg)
% Number of connectives : 115 ( 30 ~; 22 |; 48 &)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 73 ( 58 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0,X1,X2,X3,X4,X5] :
( ( ! [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/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f2,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5] :
( ( ! [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] :
( food(X6)
=> likes(X1,X6) )
& food(X4)
& food(X5)
& ! [X7] :
( ? [X8] :
( eats(X8,X7)
& not_killed_by(X8,X7) )
=> food(X7) )
& eats(X2,X0)
& alive(X2)
& ! [X9] :
( eats(X2,X9)
=> eats(X3,X9) )
& ! [X10] :
( alive(X10)
=> ! [X11] : not_killed_by(X10,X11) ) )
=> likes(X1,X0) ),
inference(rectify,[],[f2]) ).
fof(f4,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ likes(X1,X0)
& ! [X6] :
( likes(X1,X6)
| ~ food(X6) )
& food(X4)
& food(X5)
& ! [X7] :
( food(X7)
| ! [X8] :
( ~ eats(X8,X7)
| ~ not_killed_by(X8,X7) ) )
& eats(X2,X0)
& alive(X2)
& ! [X9] :
( eats(X3,X9)
| ~ eats(X2,X9) )
& ! [X10] :
( ! [X11] : not_killed_by(X10,X11)
| ~ alive(X10) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f5,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ likes(X1,X0)
& ! [X6] :
( likes(X1,X6)
| ~ food(X6) )
& food(X4)
& food(X5)
& ! [X7] :
( food(X7)
| ! [X8] :
( ~ eats(X8,X7)
| ~ not_killed_by(X8,X7) ) )
& eats(X2,X0)
& alive(X2)
& ! [X9] :
( eats(X3,X9)
| ~ eats(X2,X9) )
& ! [X10] :
( ! [X11] : not_killed_by(X10,X11)
| ~ alive(X10) ) ),
inference(flattening,[],[f4]) ).
fof(f6,plain,
( ~ likes(sK1,sK0)
& ! [X6] :
( likes(sK1,X6)
| ~ food(X6) )
& food(sK4)
& food(sK5)
& ! [X7] :
( food(X7)
| ! [X8] :
( ~ eats(X8,X7)
| ~ not_killed_by(X8,X7) ) )
& eats(sK2,sK0)
& alive(sK2)
& ! [X9] :
( eats(sK3,X9)
| ~ eats(sK2,X9) )
& ! [X10] :
( ! [X11] : not_killed_by(X10,X11)
| ~ alive(X10) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5)],[f5]) ).
fof(f7,plain,
! [X10,X11] :
( not_killed_by(X10,X11)
| ~ alive(X10) ),
inference(cnf_transformation,[],[f6]) ).
fof(f9,plain,
alive(sK2),
inference(cnf_transformation,[],[f6]) ).
fof(f10,plain,
eats(sK2,sK0),
inference(cnf_transformation,[],[f6]) ).
fof(f11,plain,
! [X8,X7] :
( ~ not_killed_by(X8,X7)
| ~ eats(X8,X7)
| food(X7) ),
inference(cnf_transformation,[],[f6]) ).
fof(f14,plain,
! [X6] :
( likes(sK1,X6)
| ~ food(X6) ),
inference(cnf_transformation,[],[f6]) ).
fof(f15,plain,
~ likes(sK1,sK0),
inference(cnf_transformation,[],[f6]) ).
fof(f30,plain,
~ food(sK0),
inference(resolution,[],[f14,f15]) ).
fof(f66,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| food(X1)
| ~ alive(X0) ),
inference(resolution,[],[f11,f7]) ).
fof(f69,plain,
( food(sK0)
| ~ alive(sK2) ),
inference(resolution,[],[f66,f10]) ).
fof(f71,plain,
~ alive(sK2),
inference(forward_subsumption_resolution,[],[f69,f30]) ).
fof(f72,plain,
$false,
inference(forward_subsumption_resolution,[],[f71,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ060+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n007.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 22:36:10 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.47 % (1841722)Will run a generic schedule for satisfiability detection.
% 0.18/0.47 % (1841729)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3869437865:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.47 % (1841729) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1841722-1841729"...
% 0.18/0.47 % (1841728)% WARNING: option uhcvi not known.
% 0.18/0.47 % (1841729)...printing done.
% 0.18/0.47 % (1841727)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2163539448_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.47 % (1841728)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1191927117:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.47 % (1841731)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2803559575:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.47 % (1841730)dis+10_1_sil=32000:sp=arity:random_seed=2767725730:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.47 % Detected minimum model sizes of [1]
% 0.18/0.47 % Detected maximum model sizes of [6]
% 0.18/0.47 % TRYING [1]
% 0.18/0.47 % (1841727) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1841722-1841727"...
% 0.18/0.47 % (1841731) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1841722-1841731"...
% 0.18/0.47 % (1841730) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1841722-1841730"...
% 0.18/0.47 % (1841728) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1841722-1841728"...
% 0.18/0.47 % (1841729)Refutation found. Thanks to Tanya!
% 0.18/0.47 % SZS status Theorem for theBenchmark
% 0.18/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.47 % (1841729)------------------------------
% 0.18/0.47 % (1841729)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.47 % (1841729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.47 % (1841729)CaDiCaL version: 2.1.3
% 0.18/0.47 % (1841729)Termination reason: Refutation
% 0.18/0.47 % (1841729)Time elapsed: 0.002 s
% 0.18/0.47 % (1841729)Peak memory usage: 11 MB
% 0.18/0.47 % (1841729)Instructions burned: 1 (million)
% 0.18/0.47 % (1841722)Success in time 0.039 s
% 0.18/0.47 % Vampire exiting
%------------------------------------------------------------------------------