%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV071+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 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 01:08:03 PM UTC 2026
% Result : Theorem 2.61s 1.14s
% Output : Refutation 2.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 14 unt; 4 def)
% Number of atoms : 66 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 62 ( 21 ~; 15 |; 20 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 5 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f53,conjecture,
( ( leq(n0,pv21)
& leq(n0,pv23)
& leq(pv21,minus(n5,n1))
& leq(pv23,minus(n135300,n1)) )
=> ( leq(n0,pv21)
& leq(n0,pv23)
& leq(pv21,minus(n5,n1))
& leq(pv23,minus(n135300,n1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_array_0012) ).
fof(f54,negated_conjecture,
~ ( ( leq(n0,pv21)
& leq(n0,pv23)
& leq(pv21,minus(n5,n1))
& leq(pv23,minus(n135300,n1)) )
=> ( leq(n0,pv21)
& leq(n0,pv23)
& leq(pv21,minus(n5,n1))
& leq(pv23,minus(n135300,n1)) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f143,plain,
( ( ~ leq(n0,pv21)
| ~ leq(n0,pv23)
| ~ leq(pv21,minus(n5,n1))
| ~ leq(pv23,minus(n135300,n1)) )
& leq(n0,pv21)
& leq(n0,pv23)
& leq(pv21,minus(n5,n1))
& leq(pv23,minus(n135300,n1)) ),
inference(ennf_transformation,[],[f54]) ).
fof(f144,plain,
( ( ~ leq(n0,pv21)
| ~ leq(n0,pv23)
| ~ leq(pv21,minus(n5,n1))
| ~ leq(pv23,minus(n135300,n1)) )
& leq(n0,pv21)
& leq(n0,pv23)
& leq(pv21,minus(n5,n1))
& leq(pv23,minus(n135300,n1)) ),
inference(flattening,[],[f143]) ).
fof(f307,plain,
leq(pv23,minus(n135300,n1)),
inference(cnf_transformation,[],[f144]) ).
fof(f308,plain,
leq(pv21,minus(n5,n1)),
inference(cnf_transformation,[],[f144]) ).
fof(f309,plain,
leq(n0,pv23),
inference(cnf_transformation,[],[f144]) ).
fof(f310,plain,
leq(n0,pv21),
inference(cnf_transformation,[],[f144]) ).
fof(f311,plain,
( ~ leq(n0,pv21)
| ~ leq(n0,pv23)
| ~ leq(pv21,minus(n5,n1))
| ~ leq(pv23,minus(n135300,n1)) ),
inference(cnf_transformation,[],[f144]) ).
fof(f355,definition,
( spl31_1
<=> leq(pv23,minus(n135300,n1)) ),
introduced(definition,[new_symbols(definition,[spl31_1])],[avatar_definition]) ).
fof(f359,definition,
( spl31_2
<=> leq(pv21,minus(n5,n1)) ),
introduced(definition,[new_symbols(definition,[spl31_2])],[avatar_definition]) ).
fof(f363,definition,
( spl31_3
<=> leq(n0,pv23) ),
introduced(definition,[new_symbols(definition,[spl31_3])],[avatar_definition]) ).
fof(f367,definition,
( spl31_4
<=> leq(n0,pv21) ),
introduced(definition,[new_symbols(definition,[spl31_4])],[avatar_definition]) ).
fof(f370,plain,
( ~ spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4 ),
inference(avatar_split_clause,[],[f311,f367,f363,f359,f355]) ).
fof(f371,plain,
spl31_3,
inference(avatar_split_clause,[],[f309,f363]) ).
fof(f372,plain,
spl31_4,
inference(avatar_split_clause,[],[f310,f367]) ).
fof(f373,plain,
spl31_1,
inference(avatar_split_clause,[],[f307,f355]) ).
fof(f374,plain,
spl31_2,
inference(avatar_split_clause,[],[f308,f359]) ).
cnf(s1,plain,
( ~ spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4 ),
inference(sat_conversion,[],[f370]) ).
cnf(s2,plain,
spl31_3,
inference(sat_conversion,[],[f371]) ).
cnf(s3,plain,
spl31_4,
inference(sat_conversion,[],[f372]) ).
cnf(s4,plain,
spl31_1,
inference(sat_conversion,[],[f373]) ).
cnf(s5,plain,
spl31_2,
inference(sat_conversion,[],[f374]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s1,s3,s2,s5,s4]) ).
fof(f375,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV071+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n018.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 09:51:40 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running first-order theorem proving
% 0.09/0.24 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
% 2.61/1.14 % (3270274)Detected formulas, will run a generic FOF schedule.
% 2.61/1.14 % (3270284)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2146546600:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.61/1.14 % (3270284)First to succeed.
% 2.61/1.14 % (3270284)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3270274"
% 2.61/1.14 % (3270282)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1994742192:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.61/1.14 % (3270281)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3013975064:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.61/1.14 % (3270282)Also succeeded, but the first one will report.
% 2.61/1.14 % (3270280)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=877186485:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.61/1.14 % (3270279)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=4178643341:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.61/1.14 % (3270285)dis-21_1_sil=8000:lcm=predicate:random_seed=3955486968:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.61/1.14 % (3270283)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2860240358:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.61/1.14 % (3270285)Also succeeded, but the first one will report.
% 2.61/1.14 % (3270283)Also succeeded, but the first one will report.
% 2.61/1.14 % (3270284)Refutation found. Thanks to Tanya!
% 2.61/1.14 % SZS status Theorem for theBenchmark
% 2.61/1.14 % SZS output start Proof for theBenchmark
% See solution above
% 2.61/1.14 % (3270284)------------------------------
% 2.61/1.14 % (3270284)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.61/1.14 % (3270284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/1.14 % (3270284)CaDiCaL version: 2.1.3
% 2.61/1.14 % (3270284)Termination reason: Refutation
% 2.61/1.14 % (3270284)Time elapsed: 0.004 s
% 2.61/1.14 % (3270284)Peak memory usage: 89 MB
% 2.61/1.14 % (3270284)Instructions burned: 9 (million)
% 2.61/1.14 % (3270284)------------------------------
% 2.61/1.14 % (3270284)------------------------------
% 2.61/1.14 % (3270274)Success in time 0.274 s
% 2.61/1.14 % Vampire exiting
%------------------------------------------------------------------------------