%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : HWV026-2 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 10:20:16 AM UTC 2026
% Result : Unsatisfiable 2.35s 0.92s
% Output : Refutation 2.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 25 ( 12 unt; 3 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 34 ( 16 ~; 15 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 4 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 1 ( 0 sgn 1 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f68,axiom,
! [X0] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X0,n1)))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_57) ).
fof(f152,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_1) ).
fof(f153,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_2) ).
fof(f154,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(t_206,n1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_3) ).
fof(f155,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(t_206)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_4) ).
fof(f241,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
inference(resolution,[],[f68,f154]) ).
fof(f248,definition,
( spl1_1
<=> p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f249,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f251,definition,
( spl1_2
<=> p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
fof(f252,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f254,definition,
( spl1_3
<=> p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(t_206)) ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
fof(f255,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(t_206))
| spl1_3 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f256,plain,
( spl1_1
| spl1_2
| ~ spl1_3 ),
inference(avatar_split_clause,[],[f241,f254,f251,f248]) ).
fof(f257,plain,
( $false
| spl1_3 ),
inference(resolution,[],[f255,f155]) ).
fof(f258,plain,
spl1_3,
inference(avatar_contradiction_clause,[],[f257]) ).
fof(f259,plain,
( $false
| ~ spl1_2 ),
inference(resolution,[],[f252,f152]) ).
fof(f260,plain,
~ spl1_2,
inference(avatar_contradiction_clause,[],[f259]) ).
fof(f261,plain,
( $false
| ~ spl1_1 ),
inference(resolution,[],[f249,f153]) ).
fof(f262,plain,
~ spl1_1,
inference(avatar_contradiction_clause,[],[f261]) ).
cnf(s1,plain,
( spl1_1
| spl1_2
| ~ spl1_3 ),
inference(sat_conversion,[],[f256]) ).
cnf(s2,plain,
spl1_3,
inference(sat_conversion,[],[f258]) ).
cnf(s3,plain,
~ spl1_2,
inference(sat_conversion,[],[f260]) ).
cnf(s4,plain,
~ spl1_1,
inference(sat_conversion,[],[f262]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s2,s3,s4]) ).
fof(f263,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : HWV026-2 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.05/0.30 % Computer : n012.cluster.edu
% 0.05/0.30 % Model : x86_64 x86_64
% 0.05/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.30 % Memory : 8046.5625MB
% 0.05/0.30 % OS : Linux 6.8.0-71-generic
% 0.05/0.30 % CPULimit : 300
% 0.05/0.30 % WCLimit : 300
% 0.05/0.30 % DateTime : Sun Sep 27 10:57:49 UTC 2026
% 0.05/0.30 % CPUTime :
% 0.05/0.30 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.32 Running first-order theorem proving
% 0.07/0.32 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
% 2.35/0.92 % (2208712)Input is clausal, will run a generic CNF schedule.
% 2.35/0.92 % (2208717)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=3543751435:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.35/0.92 % (2208720)lrs+10_1_sil=8000:sp=occurrence:random_seed=2010791355:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.35/0.92 % (2208721)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3730181943:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.35/0.92 % (2208719)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2724609682:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.35/0.92 % (2208718)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2860189202:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.35/0.92 % (2208723)dis-21_1_sil=8000:lcm=predicate:random_seed=206625666: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)
% 2.35/0.92 % (2208722)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2800134072:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.35/0.92 % (2208723)First to succeed.
% 2.35/0.92 % (2208720)Also succeeded, but the first one will report.
% 2.35/0.92 % (2208723)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2208712"
% 2.35/0.92 % (2208721)Also succeeded, but the first one will report.
% 2.35/0.92 % (2208722)Also succeeded, but the first one will report.
% 2.35/0.92 % (2208723)Refutation found. Thanks to Tanya!
% 2.35/0.92 % SZS status Unsatisfiable for theBenchmark
% 2.35/0.92 % SZS output start Proof for theBenchmark
% See solution above
% 2.35/0.92 % (2208723)------------------------------
% 2.35/0.92 % (2208723)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.35/0.92 % (2208723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/0.92 % (2208723)CaDiCaL version: 2.1.3
% 2.35/0.92 % (2208723)Termination reason: Refutation
% 2.35/0.92 % (2208723)Time elapsed: 0.003 s
% 2.35/0.92 % (2208723)Peak memory usage: 89 MB
% 2.35/0.92 % (2208723)Instructions burned: 5 (million)
% 2.35/0.92 % (2208723)------------------------------
% 2.35/0.92 % (2208723)------------------------------
% 2.35/0.92 % (2208712)Success in time 0.302 s
% 2.35/0.92 % Vampire exiting
%------------------------------------------------------------------------------