%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PUZ047-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 12:32:03 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.46s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 16 ( 10 unt; 0 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 20 ( 14 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-5 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-1 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
p(south,south,south,south,start),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm100_1) ).
fof(f3,negated_conjecture,
! [X0] :
( p(south,north,south,north,go_alone(X0))
| ~ p(north,north,south,north,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm100_3) ).
fof(f5,negated_conjecture,
! [X0] :
( p(south,south,north,south,go_alone(X0))
| ~ p(north,south,north,south,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm100_5) ).
fof(f6,negated_conjecture,
! [X0] :
( p(north,north,south,north,take_wolf(X0))
| ~ p(south,south,south,north,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm100_6) ).
fof(f10,negated_conjecture,
! [X2,X0,X1] :
( p(north,X0,north,X1,take_goat(X2))
| ~ p(south,X0,south,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm100_10) ).
fof(f11,negated_conjecture,
! [X2,X0,X1] :
( p(south,X0,south,X1,take_goat(X2))
| ~ p(north,X0,north,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm100_11) ).
fof(f14,negated_conjecture,
! [X0] :
( p(north,south,north,north,take_cabbage(X0))
| ~ p(south,south,north,south,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm100_14) ).
fof(f16,negated_conjecture,
! [X0] : ~ p(north,north,north,north,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm100_16) ).
fof(f17,plain,
! [X0] : ~ p(south,north,south,north,X0),
inference(resolution,[],[f10,f16]) ).
fof(f18,plain,
! [X0] : ~ p(north,north,south,north,X0),
inference(resolution,[],[f17,f3]) ).
fof(f21,plain,
! [X0] : ~ p(south,south,south,north,X0),
inference(resolution,[],[f18,f6]) ).
fof(f24,plain,
! [X0] : ~ p(north,south,north,north,X0),
inference(resolution,[],[f21,f11]) ).
fof(f27,plain,
! [X0] : ~ p(south,south,north,south,X0),
inference(resolution,[],[f24,f14]) ).
fof(f31,plain,
! [X0] : ~ p(north,south,north,south,X0),
inference(resolution,[],[f27,f5]) ).
fof(f35,plain,
! [X0] : ~ p(south,south,south,south,X0),
inference(resolution,[],[f31,f10]) ).
fof(f36,plain,
$false,
inference(resolution,[],[f35,f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ047-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/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 22:33:55 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 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
% 0.17/0.46 % (1839594)Will run a generic schedule for satisfiability detection.
% 0.17/0.46 % (1839603)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2077062300:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.46 % (1839603) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1839594-1839603"...
% 0.17/0.46 % (1839603)...printing done.
% 0.17/0.46 % (1839603)Refutation found. Thanks to Tanya!
% 0.17/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.47 % (1839603)------------------------------
% 0.17/0.47 % (1839603)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.47 % (1839603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.47 % (1839603)CaDiCaL version: 2.1.3
% 0.17/0.47 % (1839603)Termination reason: Refutation
% 0.17/0.47 % (1839603)Time elapsed: 0.001 s
% 0.17/0.47 % (1839603)Peak memory usage: 11 MB
% 0.17/0.47 % (1839603)Instructions burned: 2 (million)
% 0.17/0.47 % (1839594)Success in time 0.038 s
% 0.17/0.47 % Vampire exiting
%------------------------------------------------------------------------------