%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV070+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n009.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 01:20:07 PM UTC 2026
% Result : Theorem 0.07s 0.26s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 8 unt; 2 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 28 ( 11 ~; 5 |; 8 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f53,conjecture,
( ( leq(n0,pv10)
& leq(pv10,minus(n135300,n1)) )
=> ( leq(n0,pv10)
& leq(pv10,minus(n135300,n1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_array_0011) ).
fof(f54,negated_conjecture,
~ ( ( leq(n0,pv10)
& leq(pv10,minus(n135300,n1)) )
=> ( leq(n0,pv10)
& leq(pv10,minus(n135300,n1)) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f143,plain,
( ( ~ leq(n0,pv10)
| ~ leq(pv10,minus(n135300,n1)) )
& leq(n0,pv10)
& leq(pv10,minus(n135300,n1)) ),
inference(ennf_transformation,[],[f54]) ).
fof(f144,plain,
( ( ~ leq(n0,pv10)
| ~ leq(pv10,minus(n135300,n1)) )
& leq(n0,pv10)
& leq(pv10,minus(n135300,n1)) ),
inference(flattening,[],[f143]) ).
fof(f307,plain,
leq(pv10,minus(n135300,n1)),
inference(cnf_transformation,[],[f144]) ).
fof(f308,plain,
leq(n0,pv10),
inference(cnf_transformation,[],[f144]) ).
fof(f309,plain,
( ~ leq(n0,pv10)
| ~ leq(pv10,minus(n135300,n1)) ),
inference(cnf_transformation,[],[f144]) ).
fof(f379,definition,
( spl31_1
<=> leq(pv10,minus(n135300,n1)) ),
introduced(definition,[new_symbols(definition,[spl31_1])],[avatar_definition]) ).
fof(f383,definition,
( spl31_2
<=> leq(n0,pv10) ),
introduced(definition,[new_symbols(definition,[spl31_2])],[avatar_definition]) ).
fof(f386,plain,
( ~ spl31_1
| ~ spl31_2 ),
inference(avatar_split_clause,[],[f309,f383,f379]) ).
fof(f387,plain,
spl31_2,
inference(avatar_split_clause,[],[f308,f383]) ).
fof(f388,plain,
spl31_1,
inference(avatar_split_clause,[],[f307,f379]) ).
cnf(s1,plain,
( ~ spl31_1
| ~ spl31_2 ),
inference(sat_conversion,[],[f386]) ).
cnf(s2,plain,
spl31_2,
inference(sat_conversion,[],[f387]) ).
cnf(s3,plain,
spl31_1,
inference(sat_conversion,[],[f388]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f389,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV070+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18 % Computer : n009.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 09:49:30 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21 Running first-order model finding
% 0.07/0.21 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.26 % (2926309)Will run a generic schedule for satisfiability detection.
% 0.07/0.26 % (2926317)dis+10_1_sil=32000:sp=arity:random_seed=1335287190:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.07/0.26 % (2926317) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2926309-2926317"...
% 0.07/0.26 % (2926315)% WARNING: option uhcvi not known.
% 0.07/0.26 % (2926317)...printing done.
% 0.07/0.26 % (2926317)Refutation found. Thanks to Tanya!
% 0.07/0.26 % SZS status Theorem for theBenchmark
% 0.07/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.26 % (2926317)------------------------------
% 0.07/0.26 % (2926317)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.26 % (2926317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.26 % (2926317)CaDiCaL version: 2.1.3
% 0.07/0.26 % (2926317)Termination reason: Refutation
% 0.07/0.26 % (2926317)Time elapsed: 0.003 s
% 0.07/0.26 % (2926317)Peak memory usage: 12 MB
% 0.07/0.26 % (2926317)Instructions burned: 9 (million)
% 0.07/0.26 % (2926309)Success in time 0.036 s
% 0.18/0.26 % Vampire exiting
%------------------------------------------------------------------------------