%------------------------------------------------------------------------------
% File : Vampire---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 THM
% Computer : n014.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 12:31:04 PM UTC 2026
% Result : Unsatisfiable 2.67s 1.25s
% Output : Refutation 2.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 25
% Syntax : Number of formulae : 65 ( 18 unt; 12 def)
% Number of atoms : 112 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 90 ( 43 ~; 35 |; 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(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(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(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(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(f22,axiom,
( ~ banks(west(m(n0),c(n1)),east(m(n3),c(n2)),boatoneast)
| banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatonwest) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_bmmmcc_to_bmc_mmcc) ).
fof(f23,axiom,
( ~ banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatoneast)
| banks(west(m(n3),c(n2)),east(m(n0),c(n1)),boatonwest) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mmcc_bmc_to_bmmmcc_c) ).
fof(f26,axiom,
( ~ banks(west(m(n3),c(n3)),east(m(n0),c(n0)),boatonwest)
| banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatoneast) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bmmmccc_x_to_mmcc_bmc) ).
fof(f28,axiom,
( ~ banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatonwest)
| banks(west(m(n0),c(n0)),east(m(n3),c(n3)),boatoneast) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bmc_mmcc_to_x_bmmmccc) ).
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(n1),c(n1)),east(m(n2),c(n2)),boatoneast) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f37,definition,
( spl0_2
<=> banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatonwest) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f42,plain,
( spl0_2
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f29,f34,f37]) ).
fof(f44,definition,
( spl0_3
<=> banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatoneast) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f47,definition,
( spl0_4
<=> banks(west(m(n0),c(n3)),east(m(n3),c(n0)),boatonwest) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f54,definition,
( spl0_6
<=> banks(west(m(n3),c(n2)),east(m(n0),c(n1)),boatonwest) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f58,definition,
( spl0_7
<=> banks(west(m(n0),c(n1)),east(m(n3),c(n2)),boatoneast) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f65,definition,
( spl0_9
<=> banks(west(m(n3),c(n0)),east(m(n0),c(n3)),boatoneast) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f68,definition,
( spl0_10
<=> banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatonwest) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f72,definition,
( spl0_11
<=> banks(west(m(n0),c(n0)),east(m(n3),c(n3)),boatoneast) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f73,plain,
( banks(west(m(n0),c(n0)),east(m(n3),c(n3)),boatoneast)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f79,definition,
( spl0_13
<=> banks(west(m(n3),c(n3)),east(m(n0),c(n0)),boatonwest) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f82,plain,
( spl0_7
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f7,f47,f58]) ).
fof(f83,plain,
( spl0_9
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f8,f54,f65]) ).
fof(f87,plain,
( spl0_4
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f10,f44,f47]) ).
fof(f93,plain,
( spl0_10
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f12,f65,f68]) ).
fof(f106,definition,
( spl0_15
<=> banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatoneast) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f110,definition,
( spl0_16
<=> banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatonwest) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f113,plain,
( spl0_1
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f20,f68,f34]) ).
fof(f114,plain,
( spl0_3
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f21,f37,f44]) ).
fof(f116,plain,
( spl0_16
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f22,f58,f110]) ).
fof(f118,plain,
( spl0_6
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f23,f106,f54]) ).
fof(f121,plain,
( spl0_15
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f26,f79,f106]) ).
fof(f122,plain,
( spl0_11
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f28,f110,f72]) ).
fof(f124,plain,
spl0_13,
inference(avatar_split_clause,[],[f31,f79]) ).
fof(f125,plain,
( $false
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f73,f32]) ).
fof(f126,plain,
~ spl0_11,
inference(avatar_contradiction_clause,[],[f125]) ).
cnf(s2,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f42]) ).
cnf(s9,plain,
( ~ spl0_4
| spl0_7 ),
inference(sat_conversion,[],[f82]) ).
cnf(s10,plain,
( ~ spl0_6
| spl0_9 ),
inference(sat_conversion,[],[f83]) ).
cnf(s12,plain,
( ~ spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f87]) ).
cnf(s14,plain,
( ~ spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f93]) ).
cnf(s22,plain,
( spl0_1
| ~ spl0_10 ),
inference(sat_conversion,[],[f113]) ).
cnf(s23,plain,
( ~ spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f114]) ).
cnf(s24,plain,
( ~ spl0_7
| spl0_16 ),
inference(sat_conversion,[],[f116]) ).
cnf(s25,plain,
( spl0_6
| ~ spl0_15 ),
inference(sat_conversion,[],[f118]) ).
cnf(s28,plain,
( ~ spl0_13
| spl0_15 ),
inference(sat_conversion,[],[f121]) ).
cnf(s29,plain,
( spl0_11
| ~ spl0_16 ),
inference(sat_conversion,[],[f122]) ).
cnf(s31,plain,
spl0_13,
inference(sat_conversion,[],[f124]) ).
cnf(s32,plain,
~ spl0_11,
inference(sat_conversion,[],[f126]) ).
cnf(s33,plain,
~ spl0_16,
inference(rat,[],[s29,s32]) ).
cnf(s34,plain,
spl0_15,
inference(rat,[],[s28,s31]) ).
cnf(s35,plain,
spl0_6,
inference(rat,[],[s25,s34]) ).
cnf(s36,plain,
~ spl0_7,
inference(rat,[],[s24,s33]) ).
cnf(s38,plain,
spl0_9,
inference(rat,[],[s10,s35]) ).
cnf(s39,plain,
spl0_10,
inference(rat,[],[s14,s38]) ).
cnf(s40,plain,
spl0_1,
inference(rat,[],[s22,s39]) ).
cnf(s41,plain,
~ spl0_4,
inference(rat,[],[s9,s36]) ).
cnf(s42,plain,
~ spl0_3,
inference(rat,[],[s12,s41]) ).
cnf(s43,plain,
~ spl0_2,
inference(rat,[],[s23,s42]) ).
cnf(s46,plain,
$false,
inference(rat,[],[s2,s43,s40]) ).
fof(f127,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 THM
% 0.11/0.37 % Computer : n014.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 22:29:01 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.40 Running first-order theorem proving
% 0.15/0.40 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.67/1.25 % (1230327)Input is clausal, will run a generic CNF schedule.
% 2.67/1.25 % (1230452)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3413762411:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.67/1.25 % (1230452)First to succeed.
% 2.67/1.25 % (1230452)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1230327"
% 2.67/1.25 % (1230454)dis-21_1_sil=8000:lcm=predicate:random_seed=2126286854: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)
% 2.67/1.25 % (1230448)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=190796725:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.67/1.25 % (1230453)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1162841406:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.67/1.25 % (1230451)lrs+10_1_sil=8000:sp=occurrence:random_seed=1559286740:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.67/1.25 % (1230450)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3113580755:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.67/1.25 % (1230449)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3096540119:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.67/1.25 % (1230451)Also succeeded, but the first one will report.
% 2.67/1.25 % (1230453)Also succeeded, but the first one will report.
% 2.67/1.25 % (1230454)Also succeeded, but the first one will report.
% 2.67/1.25 % (1230452)Refutation found. Thanks to Tanya!
% 2.67/1.25 % SZS status Unsatisfiable for theBenchmark
% 2.67/1.25 % SZS output start Proof for theBenchmark
% See solution above
% 2.67/1.25 % (1230452)------------------------------
% 2.67/1.25 % (1230452)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.67/1.25 % (1230452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/1.25 % (1230452)CaDiCaL version: 2.1.3
% 2.67/1.25 % (1230452)Termination reason: Refutation
% 2.67/1.25 % (1230452)Time elapsed: 0.002 s
% 2.67/1.25 % (1230452)Peak memory usage: 89 MB
% 2.67/1.25 % (1230452)Instructions burned: 3 (million)
% 2.67/1.25 % (1230452)------------------------------
% 2.67/1.25 % (1230452)------------------------------
% 2.67/1.25 % (1230327)Success in time 0.308 s
% 2.67/1.25 % Vampire exiting
%------------------------------------------------------------------------------