%------------------------------------------------------------------------------
% File : Vampire---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 THM
% Computer : n011.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 12:31:21 PM UTC 2026
% Result : Unsatisfiable 3.46s 1.47s
% Output : Refutation 3.46s
% 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.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n011.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 22:36:01 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.46/1.47 % (2823571)Input is clausal, will run a generic CNF schedule.
% 3.46/1.47 % (2823576)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2596217674:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.46/1.47 % (2823577)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3124385873:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.46/1.47 % (2823579)lrs+10_1_sil=8000:sp=occurrence:random_seed=167701866:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.46/1.47 % (2823578)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3895223047:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.46/1.47 % (2823579)First to succeed.
% 3.46/1.47 % (2823579)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2823571"
% 3.46/1.47 % (2823580)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=484621717:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.46/1.47 % (2823580)Also succeeded, but the first one will report.
% 3.46/1.47 % (2823582)dis-21_1_sil=8000:lcm=predicate:random_seed=1266715721:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.46/1.47 % (2823582)Also succeeded, but the first one will report.
% 3.46/1.47 % (2823581)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3387603956:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.46/1.47 % (2823581)Also succeeded, but the first one will report.
% 3.46/1.47 % (2823579)Refutation found. Thanks to Tanya!
% 3.46/1.47 % SZS status Unsatisfiable for theBenchmark
% 3.46/1.47 % SZS output start Proof for theBenchmark
% See solution above
% 3.46/1.47 % (2823579)------------------------------
% 3.46/1.47 % (2823579)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.46/1.47 % (2823579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/1.47 % (2823579)CaDiCaL version: 2.1.3
% 3.46/1.47 % (2823579)Termination reason: Refutation
% 3.46/1.47 % (2823579)Time elapsed: 0.002 s
% 3.46/1.47 % (2823579)Peak memory usage: 88 MB
% 3.46/1.47 % (2823579)Instructions burned: 1 (million)
% 3.46/1.47 % (2823579)------------------------------
% 3.46/1.47 % (2823579)------------------------------
% 3.46/1.47 % (2823571)Success in time 0.407 s
% 3.46/1.47 % Vampire exiting
%------------------------------------------------------------------------------