%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : HWV025-3 : 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 : n026.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 4.67s 1.75s
% Output : Refutation 4.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 31 ( 13 unt; 4 def)
% Number of atoms : 67 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 57 ( 21 ~; 32 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 5 prp; 0-1 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 2 ( 0 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f34,axiom,
! [X0] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X0,n1)))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_27) ).
fof(f64,axiom,
! [X0] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X0,n1)))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_53) ).
fof(f152,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(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_DOTrd__error_(f_ADD_(t_206,n1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_3) ).
fof(f155,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(t_206)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_4) ).
fof(f253,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
inference(resolution,[],[f34,f154]) ).
fof(f255,definition,
( spl1_1
<=> p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f256,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f258,definition,
( spl1_2
<=> p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
fof(f261,definition,
( spl1_3
<=> p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
fof(f262,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f264,definition,
( spl1_4
<=> p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(t_206)) ),
introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).
fof(f265,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(t_206))
| ~ spl1_4 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f266,plain,
( spl1_1
| ~ spl1_2
| spl1_3
| spl1_4 ),
inference(avatar_split_clause,[],[f253,f264,f261,f258,f255]) ).
fof(f278,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
inference(resolution,[],[f64,f154]) ).
fof(f282,plain,
( spl1_1
| spl1_2
| spl1_3
| spl1_4 ),
inference(avatar_split_clause,[],[f278,f264,f261,f258,f255]) ).
fof(f283,plain,
( $false
| ~ spl1_3 ),
inference(resolution,[],[f262,f152]) ).
fof(f284,plain,
~ spl1_3,
inference(avatar_contradiction_clause,[],[f283]) ).
fof(f285,plain,
( $false
| ~ spl1_4 ),
inference(resolution,[],[f265,f155]) ).
fof(f286,plain,
~ spl1_4,
inference(avatar_contradiction_clause,[],[f285]) ).
fof(f287,plain,
( $false
| ~ spl1_1 ),
inference(resolution,[],[f256,f153]) ).
fof(f288,plain,
~ spl1_1,
inference(avatar_contradiction_clause,[],[f287]) ).
cnf(s1,plain,
( spl1_1
| ~ spl1_2
| spl1_3
| spl1_4 ),
inference(sat_conversion,[],[f266]) ).
cnf(s2,plain,
( spl1_1
| spl1_2
| spl1_3
| spl1_4 ),
inference(sat_conversion,[],[f282]) ).
cnf(s3,plain,
~ spl1_3,
inference(sat_conversion,[],[f284]) ).
cnf(s4,plain,
~ spl1_4,
inference(sat_conversion,[],[f286]) ).
cnf(s5,plain,
~ spl1_1,
inference(sat_conversion,[],[f288]) ).
cnf(s6,plain,
spl1_2,
inference(rat,[],[s2,s4,s3,s5]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s1,s4,s3,s6,s5]) ).
fof(f289,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV025-3 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.41 % Computer : n026.cluster.edu
% 0.14/0.41 % Model : x86_64 x86_64
% 0.14/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41 % Memory : 8046.5625MB
% 0.14/0.41 % OS : Linux 6.8.0-71-generic
% 0.14/0.41 % CPULimit : 300
% 0.14/0.41 % WCLimit : 300
% 0.14/0.41 % DateTime : Sun Sep 27 11:01:11 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.14/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.47 Running first-order theorem proving
% 0.14/0.47 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
% 4.67/1.75 % (2667170)Input is clausal, will run a generic CNF schedule.
% 4.67/1.75 % (2667183)dis-21_1_sil=8000:lcm=predicate:random_seed=3371001116: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)
% 4.67/1.75 % (2667182)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2170180067:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.67/1.75 % (2667183)First to succeed.
% 4.67/1.75 % (2667183)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2667170"
% 4.67/1.75 % (2667182)Also succeeded, but the first one will report.
% 4.67/1.75 % (2667178)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2703112081:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.67/1.75 % (2667179)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2997724992:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.67/1.75 % (2667177)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=2210355874:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.67/1.75 % (2667180)lrs+10_1_sil=8000:sp=occurrence:random_seed=2439806076:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.67/1.75 % (2667180)Also succeeded, but the first one will report.
% 4.67/1.75 % (2667181)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=363796556:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.67/1.75 % (2667181)Also succeeded, but the first one will report.
% 4.67/1.75 % (2667183)Refutation found. Thanks to Tanya!
% 4.67/1.75 % SZS status Unsatisfiable for theBenchmark
% 4.67/1.75 % SZS output start Proof for theBenchmark
% See solution above
% 4.67/1.75 % (2667183)------------------------------
% 4.67/1.75 % (2667183)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.67/1.75 % (2667183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.67/1.75 % (2667183)CaDiCaL version: 2.1.3
% 4.67/1.75 % (2667183)Termination reason: Refutation
% 4.67/1.75 % (2667183)Time elapsed: 0.006 s
% 4.67/1.75 % (2667183)Peak memory usage: 89 MB
% 4.67/1.75 % (2667183)Instructions burned: 6 (million)
% 4.67/1.75 % (2667183)------------------------------
% 4.67/1.75 % (2667183)------------------------------
% 4.67/1.75 % (2667170)Success in time 0.559 s
% 4.67/1.75 % Vampire exiting
%------------------------------------------------------------------------------