%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PUZ022-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n008.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 12:31:56 PM UTC 2026
% Result : Unsatisfiable 0.16s 0.47s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 24 ( 14 unt; 1 def)
% Number of atoms : 49 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 59 ( 34 ~; 24 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 10 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ borders(X0,X1)
| borders(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_borders) ).
fof(f5,negated_conjecture,
ocean(southern),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',southern) ).
fof(f9,negated_conjecture,
state(south_australia),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',south_australia) ).
fof(f11,negated_conjecture,
state(victoria),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',victoria) ).
fof(f18,negated_conjecture,
borders(south_australia,victoria),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sa_vic) ).
fof(f26,negated_conjecture,
borders(southern,south_australia),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',southern_sa) ).
fof(f27,negated_conjecture,
borders(southern,victoria),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',southern_vic) ).
fof(f33,negated_conjecture,
! [X2,X0,X1] :
( ~ borders(X1,X2)
| ~ state(X1)
| ~ borders(X0,X1)
| ~ borders(X0,X2)
| ~ state(X0)
| ~ ocean(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_borders) ).
fof(f80,definition,
( spl0_5
<=> ! [X0] :
( ~ borders(X0,southern)
| ~ state(X0)
| ~ borders(X0,victoria) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f81,plain,
( ! [X0] :
( ~ borders(X0,victoria)
| ~ state(X0)
| ~ borders(X0,southern) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f191,plain,
borders(south_australia,southern),
inference(resolution,[],[f1,f26]) ).
fof(f192,plain,
borders(victoria,southern),
inference(resolution,[],[f1,f27]) ).
fof(f249,plain,
! [X0] :
( ~ state(victoria)
| ~ borders(X0,victoria)
| ~ borders(X0,southern)
| ~ state(X0)
| ~ ocean(southern) ),
inference(resolution,[],[f192,f33]) ).
fof(f250,plain,
! [X0] :
( ~ borders(X0,victoria)
| ~ borders(X0,southern)
| ~ state(X0)
| ~ ocean(southern) ),
inference(forward_subsumption_resolution,[],[f249,f11]) ).
fof(f251,plain,
! [X0] :
( ~ borders(X0,victoria)
| ~ borders(X0,southern)
| ~ state(X0) ),
inference(forward_subsumption_resolution,[],[f250,f5]) ).
fof(f252,plain,
spl0_5,
inference(avatar_split_clause,[],[f251,f80]) ).
fof(f280,plain,
( ~ state(south_australia)
| ~ borders(south_australia,southern)
| ~ spl0_5 ),
inference(resolution,[],[f81,f18]) ).
fof(f283,plain,
( ~ borders(south_australia,southern)
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f280,f9]) ).
fof(f284,plain,
( $false
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f283,f191]) ).
fof(f285,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f284]) ).
cnf(s30,plain,
spl0_5,
inference(sat_conversion,[],[f252]) ).
cnf(s32,plain,
~ spl0_5,
inference(sat_conversion,[],[f285]) ).
cnf(s33,plain,
$false,
inference(rat,[],[s30,s32]) ).
fof(f286,plain,
$false,
inference(avatar_sat_refutation,[],[s33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ022-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n008.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 22:31:10 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 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
% 0.16/0.47 % (1664249)Will run a generic schedule for satisfiability detection.
% 0.16/0.47 % (1664254)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4149608840_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.47 % Detected minimum model sizes of [1]
% 0.16/0.47 % Detected maximum model sizes of [11]
% 0.16/0.47 % TRYING [1]
% 0.16/0.47 % TRYING [2]
% 0.16/0.47 % TRYING [3]
% 0.16/0.47 % TRYING [4]
% 0.16/0.47 % TRYING [5]
% 0.16/0.47 % TRYING [6]
% 0.16/0.47 % TRYING [7]
% 0.16/0.47 % (1664255)% WARNING: option uhcvi not known.
% 0.16/0.47 % TRYING [8]
% 0.16/0.47 % TRYING [9]
% 0.16/0.47 % TRYING [10]
% 0.16/0.47 % (1664255)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3575335546:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.47 % (1664256)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=550517711:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.47 % (1664257)dis+10_1_sil=32000:sp=arity:random_seed=3564409218:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.47 % (1664258)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2006458003:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.47 % (1664259)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2354944707:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.47 % (1664260)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1542795048:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.47 % TRYING [11]
% 0.16/0.47 % (1664257) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1664249-1664257"...
% 0.16/0.47 % (1664255) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1664249-1664255"...
% 0.16/0.47 % (1664256) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1664249-1664256"...
% 0.16/0.47 % (1664259) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1664249-1664259"...
% 0.16/0.47 % (1664254) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1664249-1664254"...
% 0.16/0.47 % (1664258) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1664249-1664258"...
% 0.16/0.47 % (1664257)...printing done.
% 0.16/0.47 % (1664255)...printing done.
% 0.16/0.47 % (1664256)...printing done.
% 0.16/0.47 % (1664254)...printing done.
% 0.16/0.47 % (1664259)...printing done.
% 0.16/0.47 % (1664257)Refutation found. Thanks to Tanya!
% 0.16/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.47 % (1664257)------------------------------
% 0.16/0.47 % (1664257)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.47 % (1664257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.47 % (1664257)CaDiCaL version: 2.1.3
% 0.16/0.47 % (1664257)Termination reason: Refutation
% 0.16/0.47 % (1664257)Time elapsed: 0.003 s
% 0.16/0.47 % (1664257)Peak memory usage: 12 MB
% 0.16/0.47 % (1664257)Instructions burned: 4 (million)
% 0.16/0.47 % (1664249)Success in time 0.048 s
% 0.16/0.47 % Vampire exiting
%------------------------------------------------------------------------------