%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN184-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 01:49:52 PM UTC 2026
% Result : Unsatisfiable 2.50s 1.12s
% Output : Refutation 2.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 8 unt; 1 def)
% Number of atoms : 14 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 4 ~; 2 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 2 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
r0(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
fof(f369,negated_conjecture,
~ r0(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f646,definition,
( spl0_81
<=> r0(b) ),
introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).
fof(f647,plain,
( ~ r0(b)
| spl0_81 ),
inference(avatar_component_clause,[],[f646]) ).
fof(f1388,plain,
~ spl0_81,
inference(avatar_split_clause,[],[f369,f646]) ).
fof(f1393,plain,
( $false
| spl0_81 ),
inference(forward_subsumption_resolution,[],[f647,f9]) ).
fof(f1394,plain,
spl0_81,
inference(avatar_contradiction_clause,[],[f1393]) ).
cnf(s152,plain,
~ spl0_81,
inference(sat_conversion,[],[f1388]) ).
cnf(s155,plain,
spl0_81,
inference(sat_conversion,[],[f1394]) ).
cnf(s156,plain,
$false,
inference(rat,[],[s152,s155]) ).
fof(f1395,plain,
$false,
inference(avatar_sat_refutation,[],[s156]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN184-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.17 % Computer : n018.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Mon Sep 28 15:39:55 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running first-order theorem proving
% 0.09/0.21 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
% 2.50/1.12 % (3491216)Input is clausal, will run a generic CNF schedule.
% 2.50/1.12 % (3491225)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2411842158:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.50/1.12 % (3491225)First to succeed.
% 2.50/1.12 % (3491225)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3491216"
% 2.50/1.12 % (3491221)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=1443456197:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.50/1.12 % (3491223)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2736285430:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.50/1.12 % (3491222)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1316972251:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.50/1.12 % (3491226)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1932922182:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.50/1.12 % (3491224)lrs+10_1_sil=8000:sp=occurrence:random_seed=1009532233:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.50/1.12 % (3491227)dis-21_1_sil=8000:lcm=predicate:random_seed=2938563750: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)
% 2.50/1.12 % (3491224)Also succeeded, but the first one will report.
% 2.50/1.12 % (3491226)Also succeeded, but the first one will report.
% 2.50/1.12 % (3491227)Also succeeded, but the first one will report.
% 2.50/1.12 % (3491225)Refutation found. Thanks to Tanya!
% 2.50/1.12 % SZS status Unsatisfiable for theBenchmark
% 2.50/1.12 % SZS output start Proof for theBenchmark
% See solution above
% 2.50/1.12 % (3491225)------------------------------
% 2.50/1.12 % (3491225)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.50/1.12 % (3491225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/1.12 % (3491225)CaDiCaL version: 2.1.3
% 2.50/1.12 % (3491225)Termination reason: Refutation
% 2.50/1.12 % (3491225)Time elapsed: 0.004 s
% 2.50/1.12 % (3491225)Peak memory usage: 89 MB
% 2.50/1.12 % (3491225)Instructions burned: 10 (million)
% 2.50/1.12 % (3491225)------------------------------
% 2.50/1.12 % (3491225)------------------------------
% 2.50/1.12 % (3491216)Success in time 0.279 s
% 2.50/1.12 % Vampire exiting
%------------------------------------------------------------------------------