%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PLA001-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n005.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 12:28:32 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.50s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 10
% Syntax : Number of formulae : 29 ( 15 unt; 1 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 74 ( 43 ~; 30 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 2 prp; 0-4 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 48 ( 0 sgn 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1,X4] :
( at(X4,X1,s(s(X2)),drive(X4,X3))
| ~ next_to(X0,X4)
| ~ at(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',drive1) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( at(X0,s(X1),s(X2),buy(X3))
| ~ at(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',buy_in_city) ).
fof(f10,axiom,
next_to(cheyenne,northPlatte),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',map6) ).
fof(f11,axiom,
next_to(northPlatte,grandIsland),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',map7) ).
fof(f12,axiom,
next_to(grandIsland,lincoln),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',map8) ).
fof(f13,axiom,
next_to(lincoln,omaha),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',map9) ).
fof(f14,axiom,
next_to(omaha,desMoines),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',map10) ).
fof(f15,axiom,
at(cheyenne,none,start,initial_situation),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial) ).
fof(f16,negated_conjecture,
! [X0,X1] : ~ at(desMoines,s(none),X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_you_gat_get_there_with_bread) ).
fof(f18,plain,
! [X0,X1] : ~ at(desMoines,none,X0,X1),
inference(resolution,[],[f4,f16]) ).
fof(f21,plain,
! [X2,X0,X1] :
( ~ at(X0,none,X1,X2)
| ~ next_to(X0,desMoines) ),
inference(resolution,[],[f1,f18]) ).
fof(f24,plain,
! [X2,X3,X0,X1] :
( ~ at(X1,none,X2,X3)
| ~ next_to(X1,X0)
| ~ next_to(X0,desMoines) ),
inference(resolution,[],[f21,f1]) ).
fof(f43,plain,
! [X2,X3,X0,X1,X4] :
( ~ at(X2,none,X3,X4)
| ~ next_to(X1,desMoines)
| ~ next_to(X2,X0)
| ~ next_to(X0,X1) ),
inference(resolution,[],[f24,f1]) ).
fof(f87,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ at(X3,none,X4,X5)
| ~ next_to(X1,X2)
| ~ next_to(X2,X0)
| ~ next_to(X3,X1)
| ~ next_to(X0,desMoines) ),
inference(resolution,[],[f43,f1]) ).
fof(f267,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ at(X4,none,X5,X6)
| ~ next_to(X1,X2)
| ~ next_to(X3,X0)
| ~ next_to(X2,desMoines)
| ~ next_to(X4,X3)
| ~ next_to(X0,X1) ),
inference(resolution,[],[f87,f1]) ).
fof(f390,definition,
( spl0_12
<=> next_to(cheyenne,northPlatte) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f392,plain,
( ~ next_to(cheyenne,northPlatte)
| spl0_12 ),
inference(avatar_component_clause,[],[f390]) ).
fof(f394,plain,
( $false
| spl0_12 ),
inference(resolution,[],[f392,f10]) ).
fof(f395,plain,
spl0_12,
inference(avatar_contradiction_clause,[],[f394]) ).
fof(f920,plain,
! [X2,X3,X0,X1] :
( ~ next_to(X0,X1)
| ~ next_to(X2,X3)
| ~ next_to(X1,desMoines)
| ~ next_to(cheyenne,X2)
| ~ next_to(X3,X0) ),
inference(resolution,[],[f267,f15]) ).
fof(f924,plain,
! [X2,X0,X1] :
( ~ next_to(X0,omaha)
| ~ next_to(X1,X2)
| ~ next_to(cheyenne,X1)
| ~ next_to(X2,X0) ),
inference(resolution,[],[f920,f14]) ).
fof(f938,plain,
! [X0,X1] :
( ~ next_to(X0,X1)
| ~ next_to(cheyenne,X0)
| ~ next_to(X1,lincoln) ),
inference(resolution,[],[f924,f13]) ).
fof(f944,plain,
! [X0] :
( ~ next_to(X0,grandIsland)
| ~ next_to(cheyenne,X0) ),
inference(resolution,[],[f938,f12]) ).
fof(f946,plain,
~ next_to(cheyenne,northPlatte),
inference(resolution,[],[f944,f11]) ).
fof(f947,plain,
~ spl0_12,
inference(avatar_split_clause,[],[f946,f390]) ).
cnf(s8,plain,
spl0_12,
inference(sat_conversion,[],[f395]) ).
cnf(s16,plain,
~ spl0_12,
inference(sat_conversion,[],[f947]) ).
cnf(s17,plain,
$false,
inference(rat,[],[s8,s16]) ).
fof(f948,plain,
$false,
inference(avatar_sat_refutation,[],[s17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PLA001-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n005.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 22:09:02 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.44 Running first-order model finding
% 0.12/0.44 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
% 0.17/0.50 % (219723)Will run a generic schedule for satisfiability detection.
% 0.17/0.50 % (219734)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1816764803:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.50 % (219729)% WARNING: option uhcvi not known.
% 0.17/0.50 % (219728)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1615132490_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.50 % (219732)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=268646511:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.50 % (219733)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=307464838:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.50 % (219730)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1645525716:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.50 % (219729)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=171024249:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.50 % (219731)dis+10_1_sil=32000:sp=arity:random_seed=3927792303:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.50 % TRYING [1]
% 0.17/0.50 % TRYING [2]
% 0.17/0.50 % TRYING [3]
% 0.17/0.50 % (219734) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-219723-219734"...
% 0.17/0.50 % (219734)...printing done.
% 0.17/0.50 % (219734)Refutation found. Thanks to Tanya!
% 0.17/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.50 % (219734)------------------------------
% 0.17/0.50 % (219734)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.50 % (219734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.50 % (219734)CaDiCaL version: 2.1.3
% 0.17/0.50 % (219734)Termination reason: Refutation
% 0.17/0.50 % (219734)Time elapsed: 0.025 s
% 0.17/0.50 % (219734)Peak memory usage: 12 MB
% 0.17/0.50 % (219734)Instructions burned: 48 (million)
% 0.17/0.50 % (219723)Success in time 0.049 s
% 0.17/0.50 % Vampire exiting
%------------------------------------------------------------------------------