%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV066+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 : n002.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 0.09s 0.25s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 33 ( 14 unt; 4 def)
% Number of atoms : 82 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 74 ( 25 ~; 23 |; 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,pv10)
& leq(n0,pv53)
& leq(pv10,minus(n135300,n1))
& leq(pv53,minus(n5,n1)) )
=> ( leq(n0,pv10)
& leq(n0,pv53)
& leq(pv10,minus(n135300,n1))
& leq(pv53,minus(n5,n1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_array_0007) ).
fof(f54,negated_conjecture,
~ ( ( leq(n0,pv10)
& leq(n0,pv53)
& leq(pv10,minus(n135300,n1))
& leq(pv53,minus(n5,n1)) )
=> ( leq(n0,pv10)
& leq(n0,pv53)
& leq(pv10,minus(n135300,n1))
& leq(pv53,minus(n5,n1)) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f143,plain,
( ( ~ leq(n0,pv10)
| ~ leq(n0,pv53)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv53,minus(n5,n1)) )
& leq(n0,pv10)
& leq(n0,pv53)
& leq(pv10,minus(n135300,n1))
& leq(pv53,minus(n5,n1)) ),
inference(ennf_transformation,[],[f54]) ).
fof(f144,plain,
( ( ~ leq(n0,pv10)
| ~ leq(n0,pv53)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv53,minus(n5,n1)) )
& leq(n0,pv10)
& leq(n0,pv53)
& leq(pv10,minus(n135300,n1))
& leq(pv53,minus(n5,n1)) ),
inference(flattening,[],[f143]) ).
fof(f307,plain,
leq(pv53,minus(n5,n1)),
inference(cnf_transformation,[],[f144]) ).
fof(f308,plain,
leq(pv10,minus(n135300,n1)),
inference(cnf_transformation,[],[f144]) ).
fof(f309,plain,
leq(n0,pv53),
inference(cnf_transformation,[],[f144]) ).
fof(f310,plain,
leq(n0,pv10),
inference(cnf_transformation,[],[f144]) ).
fof(f311,plain,
( ~ leq(n0,pv10)
| ~ leq(n0,pv53)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv53,minus(n5,n1)) ),
inference(cnf_transformation,[],[f144]) ).
fof(f435,definition,
( spl31_1
<=> leq(pv53,minus(n5,n1)) ),
introduced(definition,[new_symbols(definition,[spl31_1])],[avatar_definition]) ).
fof(f437,plain,
( ~ leq(pv53,minus(n5,n1))
| spl31_1 ),
inference(avatar_component_clause,[],[f435]) ).
fof(f439,definition,
( spl31_2
<=> leq(pv10,minus(n135300,n1)) ),
introduced(definition,[new_symbols(definition,[spl31_2])],[avatar_definition]) ).
fof(f441,plain,
( ~ leq(pv10,minus(n135300,n1))
| spl31_2 ),
inference(avatar_component_clause,[],[f439]) ).
fof(f443,definition,
( spl31_3
<=> leq(n0,pv53) ),
introduced(definition,[new_symbols(definition,[spl31_3])],[avatar_definition]) ).
fof(f445,plain,
( ~ leq(n0,pv53)
| spl31_3 ),
inference(avatar_component_clause,[],[f443]) ).
fof(f447,definition,
( spl31_4
<=> leq(n0,pv10) ),
introduced(definition,[new_symbols(definition,[spl31_4])],[avatar_definition]) ).
fof(f449,plain,
( ~ leq(n0,pv10)
| spl31_4 ),
inference(avatar_component_clause,[],[f447]) ).
fof(f450,plain,
( ~ spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4 ),
inference(avatar_split_clause,[],[f311,f447,f443,f439,f435]) ).
fof(f451,plain,
( $false
| spl31_3 ),
inference(resolution,[],[f445,f309]) ).
fof(f452,plain,
spl31_3,
inference(avatar_contradiction_clause,[],[f451]) ).
fof(f453,plain,
( $false
| spl31_4 ),
inference(resolution,[],[f449,f310]) ).
fof(f454,plain,
spl31_4,
inference(avatar_contradiction_clause,[],[f453]) ).
fof(f455,plain,
( $false
| spl31_1 ),
inference(resolution,[],[f437,f307]) ).
fof(f456,plain,
spl31_1,
inference(avatar_contradiction_clause,[],[f455]) ).
fof(f457,plain,
( $false
| spl31_2 ),
inference(resolution,[],[f441,f308]) ).
fof(f458,plain,
spl31_2,
inference(avatar_contradiction_clause,[],[f457]) ).
cnf(s1,plain,
( ~ spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4 ),
inference(sat_conversion,[],[f450]) ).
cnf(s2,plain,
spl31_3,
inference(sat_conversion,[],[f452]) ).
cnf(s3,plain,
spl31_4,
inference(sat_conversion,[],[f454]) ).
cnf(s4,plain,
spl31_1,
inference(sat_conversion,[],[f456]) ).
cnf(s5,plain,
spl31_2,
inference(sat_conversion,[],[f458]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s1,s3,s2,s5,s4]) ).
fof(f459,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV066+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.17 % Computer : n002.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Mon Sep 28 09:51:22 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 Running first-order model finding
% 0.09/0.21 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
% 0.09/0.25 % (242087)Will run a generic schedule for satisfiability detection.
% 0.09/0.25 % (242098)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1358572048:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.25 % (242093)% WARNING: option uhcvi not known.
% 0.09/0.25 % (242098) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-242087-242098"...
% 0.09/0.25 % (242098)...printing done.
% 0.09/0.25 % (242098)Refutation found. Thanks to Tanya!
% 0.09/0.25 % SZS status Theorem for theBenchmark
% 0.09/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.25 % (242098)------------------------------
% 0.09/0.25 % (242098)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.25 % (242098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.25 % (242098)CaDiCaL version: 2.1.3
% 0.09/0.25 % (242098)Termination reason: Refutation
% 0.09/0.25 % (242098)Time elapsed: 0.005 s
% 0.09/0.25 % (242098)Peak memory usage: 12 MB
% 0.09/0.25 % (242098)Instructions burned: 14 (million)
% 0.09/0.25 % (242087)Success in time 0.031 s
% 0.09/0.25 % Vampire exiting
%------------------------------------------------------------------------------