%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PUZ008-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n003.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 12:31:49 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.46s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 25
% Syntax : Number of formulae : 63 ( 18 unt; 12 def)
% Number of atoms : 108 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 86 ( 41 ~; 33 |; 0 &)
% ( 12 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 14 ( 13 usr; 13 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
( ~ banks(west(m(n3),c(n3)),east(m(n0),c(n0)),boatonwest)
| banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatoneast) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bmmmccc_x_to_mmmc_bcc) ).
fof(f7,axiom,
( ~ banks(west(m(n0),c(n3)),east(m(n3),c(n0)),boatonwest)
| banks(west(m(n0),c(n1)),east(m(n3),c(n2)),boatoneast) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bccc_mmm_to_c_bmmmcc) ).
fof(f8,axiom,
( ~ banks(west(m(n3),c(n2)),east(m(n0),c(n1)),boatonwest)
| banks(west(m(n3),c(n0)),east(m(n0),c(n3)),boatoneast) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bmmmcc_c_to_mmm_bccc) ).
fof(f9,axiom,
( ~ banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatonwest)
| banks(west(m(n0),c(n0)),east(m(n3),c(n3)),boatoneast) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bcc_mmmc_to_x_bmmmccc) ).
fof(f10,axiom,
( ~ banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatoneast)
| banks(west(m(n0),c(n3)),east(m(n3),c(n0)),boatonwest) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc_bmmmc_to_bccc_mmm) ).
fof(f11,axiom,
( ~ banks(west(m(n0),c(n1)),east(m(n3),c(n2)),boatoneast)
| banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatonwest) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_bmmmcc_to_bcc_mmmc) ).
fof(f12,axiom,
( ~ banks(west(m(n3),c(n0)),east(m(n0),c(n3)),boatoneast)
| banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatonwest) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mmm_bccc_to_bmmmc_cc) ).
fof(f14,axiom,
( ~ banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatoneast)
| banks(west(m(n3),c(n2)),east(m(n0),c(n1)),boatonwest) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mmmc_bcc_to_bmmmcc_c) ).
fof(f20,axiom,
( ~ banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatonwest)
| banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatoneast) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bmmmc_cc_to_mc_bmmcc) ).
fof(f21,axiom,
( ~ banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatonwest)
| banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatoneast) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bmmcc_mc_to_cc_bmmmc) ).
fof(f29,axiom,
( ~ banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatoneast)
| banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatonwest) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mc_bmmcc_to_bmmcc_mc) ).
fof(f31,axiom,
banks(west(m(n3),c(n3)),east(m(n0),c(n0)),boatonwest),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',starting_configuration) ).
fof(f32,negated_conjecture,
~ banks(west(m(n0),c(n0)),east(m(n3),c(n3)),boatoneast),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_can_get_across) ).
fof(f34,definition,
( spl0_1
<=> banks(west(m(n3),c(n3)),east(m(n0),c(n0)),boatonwest) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f43,definition,
( spl0_3
<=> banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatonwest) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f47,definition,
( spl0_4
<=> banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatoneast) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f50,plain,
( spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f29,f47,f43]) ).
fof(f52,definition,
( spl0_5
<=> banks(west(m(n0),c(n0)),east(m(n3),c(n3)),boatoneast) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f63,definition,
( spl0_7
<=> banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatonwest) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f68,definition,
( spl0_8
<=> banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatoneast) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f73,definition,
( spl0_9
<=> banks(west(m(n3),c(n2)),east(m(n0),c(n1)),boatonwest) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f78,definition,
( spl0_10
<=> banks(west(m(n0),c(n1)),east(m(n3),c(n2)),boatoneast) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f82,plain,
( spl0_8
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f21,f43,f68]) ).
fof(f83,plain,
( spl0_4
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f20,f63,f47]) ).
fof(f87,definition,
( spl0_11
<=> banks(west(m(n3),c(n0)),east(m(n0),c(n3)),boatoneast) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f92,definition,
( spl0_12
<=> banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatoneast) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f97,definition,
( spl0_13
<=> banks(west(m(n0),c(n3)),east(m(n3),c(n0)),boatonwest) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f101,plain,
( spl0_9
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f14,f92,f73]) ).
fof(f107,plain,
( spl0_7
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f12,f87,f63]) ).
fof(f109,definition,
( spl0_15
<=> banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatonwest) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f112,plain,
( spl0_15
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f11,f78,f109]) ).
fof(f113,plain,
( spl0_13
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f10,f68,f97]) ).
fof(f114,plain,
( spl0_5
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f9,f109,f52]) ).
fof(f115,plain,
( spl0_11
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f8,f73,f87]) ).
fof(f116,plain,
( spl0_10
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f7,f97,f78]) ).
fof(f117,plain,
( spl0_12
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f6,f34,f92]) ).
fof(f127,plain,
~ spl0_5,
inference(avatar_split_clause,[],[f32,f52]) ).
fof(f128,plain,
spl0_1,
inference(avatar_split_clause,[],[f31,f34]) ).
cnf(s2,plain,
( spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f50]) ).
cnf(s10,plain,
( ~ spl0_3
| spl0_8 ),
inference(sat_conversion,[],[f82]) ).
cnf(s11,plain,
( spl0_4
| ~ spl0_7 ),
inference(sat_conversion,[],[f83]) ).
cnf(s17,plain,
( spl0_9
| ~ spl0_12 ),
inference(sat_conversion,[],[f101]) ).
cnf(s19,plain,
( spl0_7
| ~ spl0_11 ),
inference(sat_conversion,[],[f107]) ).
cnf(s20,plain,
( ~ spl0_10
| spl0_15 ),
inference(sat_conversion,[],[f112]) ).
cnf(s21,plain,
( ~ spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f113]) ).
cnf(s22,plain,
( spl0_5
| ~ spl0_15 ),
inference(sat_conversion,[],[f114]) ).
cnf(s23,plain,
( ~ spl0_9
| spl0_11 ),
inference(sat_conversion,[],[f115]) ).
cnf(s24,plain,
( spl0_10
| ~ spl0_13 ),
inference(sat_conversion,[],[f116]) ).
cnf(s25,plain,
( ~ spl0_1
| spl0_12 ),
inference(sat_conversion,[],[f117]) ).
cnf(s31,plain,
~ spl0_5,
inference(sat_conversion,[],[f127]) ).
cnf(s32,plain,
spl0_1,
inference(sat_conversion,[],[f128]) ).
cnf(s34,plain,
spl0_12,
inference(rat,[],[s25,s32]) ).
cnf(s35,plain,
~ spl0_15,
inference(rat,[],[s22,s31]) ).
cnf(s36,plain,
~ spl0_10,
inference(rat,[],[s20,s35]) ).
cnf(s37,plain,
~ spl0_13,
inference(rat,[],[s24,s36]) ).
cnf(s38,plain,
~ spl0_8,
inference(rat,[],[s21,s37]) ).
cnf(s39,plain,
spl0_9,
inference(rat,[],[s17,s34]) ).
cnf(s40,plain,
spl0_11,
inference(rat,[],[s23,s39]) ).
cnf(s41,plain,
spl0_7,
inference(rat,[],[s19,s40]) ).
cnf(s44,plain,
spl0_4,
inference(rat,[],[s11,s41]) ).
cnf(s45,plain,
~ spl0_3,
inference(rat,[],[s10,s38]) ).
cnf(s46,plain,
$false,
inference(rat,[],[s2,s44,s45]) ).
fof(f129,plain,
$false,
inference(avatar_sat_refutation,[],[s46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ008-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37 % Computer : n003.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 22:30:56 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40 Running first-order model finding
% 0.12/0.40 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
% 0.12/0.46 % (981897)Will run a generic schedule for satisfiability detection.
% 0.12/0.46 % (981908)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1066063003_2999 on theBenchmark for (2999ds/0Mi)
% 0.12/0.46 % TRYING [1]
% 0.12/0.46 % TRYING [2]
% 0.12/0.46 % (981909)% WARNING: option uhcvi not known.
% 0.12/0.46 % TRYING [3]
% 0.12/0.46 % (981911)dis+10_1_sil=32000:sp=arity:random_seed=364899870:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.12/0.46 % (981909)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=951242497:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.12/0.46 % (981910)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3809520482:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.12/0.46 % (981912)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=832385329:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.12/0.46 % (981914)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=297215628:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.12/0.46 % (981913)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3052214838:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.12/0.46 % (981911) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-981897-981911"...
% 0.12/0.46 % (981909) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-981897-981909"...
% 0.12/0.46 % (981910) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-981897-981910"...
% 0.12/0.46 % (981913) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-981897-981913"...
% 0.12/0.46 % (981914) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-981897-981914"...
% 0.12/0.46 % (981912) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-981897-981912"...
% 0.12/0.46 % (981911)...printing done.
% 0.12/0.46 % (981910)...printing done.
% 0.12/0.46 % (981909)...printing done.
% 0.12/0.46 % (981913)...printing done.
% 0.12/0.46 % (981911)Refutation found. Thanks to Tanya!
% 0.12/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.46 % (981911)------------------------------
% 0.12/0.46 % (981911)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.46 % (981911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.46 % (981911)CaDiCaL version: 2.1.3
% 0.12/0.46 % (981911)Termination reason: Refutation
% 0.12/0.46 % (981911)Time elapsed: 0.002 s
% 0.12/0.46 % (981911)Peak memory usage: 11 MB
% 0.12/0.46 % (981911)Instructions burned: 1 (million)
% 0.12/0.46 % (981897)Success in time 0.041 s
% 0.12/0.46 % Vampire exiting
%------------------------------------------------------------------------------