%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV904-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 01:19:45 PM UTC 2026
% Result : Unsatisfiable 2.79s 1.18s
% Output : Refutation 2.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 9 ( 8 unt; 1 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 4 ( 3 ~; 0 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 3 ( 2 usr; 3 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f28,negated_conjecture,
c_Hoare__Mirabelle_Ostate__not__singleton,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f31,negated_conjecture,
~ c_Hoare__Mirabelle_Ostate__not__singleton,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f41,definition,
( spl0_3
<=> c_Hoare__Mirabelle_Ostate__not__singleton ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f62,plain,
~ spl0_3,
inference(avatar_split_clause,[],[f31,f41]) ).
fof(f64,plain,
spl0_3,
inference(avatar_split_clause,[],[f28,f41]) ).
cnf(s6,plain,
~ spl0_3,
inference(sat_conversion,[],[f62]) ).
cnf(s8,plain,
spl0_3,
inference(sat_conversion,[],[f64]) ).
cnf(s9,plain,
$false,
inference(rat,[],[s6,s8]) ).
fof(f65,plain,
$false,
inference(avatar_sat_refutation,[],[s9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV904-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 % Computer : n016.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Mon Sep 28 12:57:33 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 Running first-order theorem proving
% 0.10/0.23 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
% 2.79/1.18 % (3601303)Input is clausal, will run a generic CNF schedule.
% 2.79/1.18 % (3601368)lrs+10_1_sil=8000:sp=occurrence:random_seed=4067083022:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.79/1.18 % (3601368)First to succeed.
% 2.79/1.18 % (3601368)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3601303"
% 2.79/1.18 % (3601366)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=651191450:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.79/1.18 % (3601369)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2017908226:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.79/1.18 % (3601370)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=744869821:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.79/1.18 % (3601371)dis-21_1_sil=8000:lcm=predicate:random_seed=991090443: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)
% 2.79/1.18 % (3601365)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=3977374500:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.79/1.18 % (3601367)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2898593403:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.79/1.18 % (3601370)Also succeeded, but the first one will report.
% 2.79/1.18 % (3601369)Also succeeded, but the first one will report.
% 2.79/1.18 % (3601371)Also succeeded, but the first one will report.
% 2.79/1.18 % (3601368)Refutation found. Thanks to Tanya!
% 2.79/1.18 % SZS status Unsatisfiable for theBenchmark
% 2.79/1.18 % SZS output start Proof for theBenchmark
% See solution above
% 2.79/1.18 % (3601368)------------------------------
% 2.79/1.18 % (3601368)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.79/1.18 % (3601368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/1.18 % (3601368)CaDiCaL version: 2.1.3
% 2.79/1.18 % (3601368)Termination reason: Refutation
% 2.79/1.18 % (3601368)Time elapsed: 0.001 s
% 2.79/1.18 % (3601368)Peak memory usage: 89 MB
% 2.79/1.18 % (3601368)Instructions burned: 1 (million)
% 2.79/1.18 % (3601368)------------------------------
% 2.79/1.18 % (3601368)------------------------------
% 2.79/1.18 % (3601303)Success in time 0.303 s
% 2.79/1.18 % Vampire exiting
%------------------------------------------------------------------------------