%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV074+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 : n014.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 01:20:08 PM UTC 2026
% Result : Theorem 0.19s 0.27s
% Output : Refutation 0.19s
% 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,pv31)
& leq(n0,pv36)
& leq(pv31,minus(n5,n1))
& leq(pv36,minus(n135300,n1)) )
=> ( leq(n0,pv31)
& leq(n0,pv36)
& leq(pv31,minus(n5,n1))
& leq(pv36,minus(n135300,n1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_array_0015) ).
fof(f54,negated_conjecture,
~ ( ( leq(n0,pv31)
& leq(n0,pv36)
& leq(pv31,minus(n5,n1))
& leq(pv36,minus(n135300,n1)) )
=> ( leq(n0,pv31)
& leq(n0,pv36)
& leq(pv31,minus(n5,n1))
& leq(pv36,minus(n135300,n1)) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f143,plain,
( ( ~ leq(n0,pv31)
| ~ leq(n0,pv36)
| ~ leq(pv31,minus(n5,n1))
| ~ leq(pv36,minus(n135300,n1)) )
& leq(n0,pv31)
& leq(n0,pv36)
& leq(pv31,minus(n5,n1))
& leq(pv36,minus(n135300,n1)) ),
inference(ennf_transformation,[],[f54]) ).
fof(f144,plain,
( ( ~ leq(n0,pv31)
| ~ leq(n0,pv36)
| ~ leq(pv31,minus(n5,n1))
| ~ leq(pv36,minus(n135300,n1)) )
& leq(n0,pv31)
& leq(n0,pv36)
& leq(pv31,minus(n5,n1))
& leq(pv36,minus(n135300,n1)) ),
inference(flattening,[],[f143]) ).
fof(f307,plain,
leq(pv36,minus(n135300,n1)),
inference(cnf_transformation,[],[f144]) ).
fof(f308,plain,
leq(pv31,minus(n5,n1)),
inference(cnf_transformation,[],[f144]) ).
fof(f309,plain,
leq(n0,pv36),
inference(cnf_transformation,[],[f144]) ).
fof(f310,plain,
leq(n0,pv31),
inference(cnf_transformation,[],[f144]) ).
fof(f311,plain,
( ~ leq(n0,pv31)
| ~ leq(n0,pv36)
| ~ leq(pv31,minus(n5,n1))
| ~ leq(pv36,minus(n135300,n1)) ),
inference(cnf_transformation,[],[f144]) ).
fof(f381,definition,
( spl31_1
<=> leq(pv36,minus(n135300,n1)) ),
introduced(definition,[new_symbols(definition,[spl31_1])],[avatar_definition]) ).
fof(f385,definition,
( spl31_2
<=> leq(pv31,minus(n5,n1)) ),
introduced(definition,[new_symbols(definition,[spl31_2])],[avatar_definition]) ).
fof(f389,definition,
( spl31_3
<=> leq(n0,pv36) ),
introduced(definition,[new_symbols(definition,[spl31_3])],[avatar_definition]) ).
fof(f393,definition,
( spl31_4
<=> leq(n0,pv31) ),
introduced(definition,[new_symbols(definition,[spl31_4])],[avatar_definition]) ).
fof(f396,plain,
( ~ spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4 ),
inference(avatar_split_clause,[],[f311,f393,f389,f385,f381]) ).
fof(f397,plain,
spl31_3,
inference(avatar_split_clause,[],[f309,f389]) ).
fof(f398,plain,
spl31_4,
inference(avatar_split_clause,[],[f310,f393]) ).
fof(f399,plain,
spl31_1,
inference(avatar_split_clause,[],[f307,f381]) ).
fof(f400,plain,
spl31_2,
inference(avatar_split_clause,[],[f308,f385]) ).
cnf(s1,plain,
( ~ spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4 ),
inference(sat_conversion,[],[f396]) ).
cnf(s2,plain,
spl31_3,
inference(sat_conversion,[],[f397]) ).
cnf(s3,plain,
spl31_4,
inference(sat_conversion,[],[f398]) ).
cnf(s4,plain,
spl31_1,
inference(sat_conversion,[],[f399]) ).
cnf(s5,plain,
spl31_2,
inference(sat_conversion,[],[f400]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s1,s3,s2,s5,s4]) ).
fof(f401,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV074+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 % Computer : n014.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 09:49:31 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 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
% 0.19/0.27 % (1676428)Will run a generic schedule for satisfiability detection.
% 0.19/0.27 % (1676436)dis+10_1_sil=32000:sp=arity:random_seed=513843177:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.27 % (1676434)% WARNING: option uhcvi not known.
% 0.19/0.27 % (1676436) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1676428-1676436"...
% 0.19/0.27 % (1676436)...printing done.
% 0.19/0.27 % (1676436)Refutation found. Thanks to Tanya!
% 0.19/0.27 % SZS status Theorem for theBenchmark
% 0.19/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.28 % (1676436)------------------------------
% 0.19/0.28 % (1676436)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.28 % (1676436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.28 % (1676436)CaDiCaL version: 2.1.3
% 0.19/0.28 % (1676436)Termination reason: Refutation
% 0.19/0.28 % (1676436)Time elapsed: 0.003 s
% 0.19/0.28 % (1676436)Peak memory usage: 12 MB
% 0.19/0.28 % (1676436)Instructions burned: 9 (million)
% 0.19/0.28 % (1676428)Success in time 0.035 s
% 0.19/0.28 % Vampire exiting
%------------------------------------------------------------------------------