%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV084+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 : n011.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 01:20:10 PM UTC 2026
% Result : Theorem 0.21s 0.28s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 24 ( 10 unt; 2 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 39 ( 17 ~; 10 |; 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,pv67)
& leq(pv67,minus(n5,n1)) )
=> ( leq(n0,pv67)
& leq(pv67,minus(n5,n1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_array_0025) ).
fof(f54,negated_conjecture,
~ ( ( leq(n0,pv67)
& leq(pv67,minus(n5,n1)) )
=> ( leq(n0,pv67)
& leq(pv67,minus(n5,n1)) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f136,plain,
( ( ~ leq(n0,pv67)
| ~ leq(pv67,minus(n5,n1)) )
& leq(n0,pv67)
& leq(pv67,minus(n5,n1)) ),
inference(ennf_transformation,[],[f54]) ).
fof(f137,plain,
( ( ~ leq(n0,pv67)
| ~ leq(pv67,minus(n5,n1)) )
& leq(n0,pv67)
& leq(pv67,minus(n5,n1)) ),
inference(flattening,[],[f136]) ).
fof(f300,plain,
leq(pv67,minus(n5,n1)),
inference(cnf_transformation,[],[f137]) ).
fof(f301,plain,
leq(n0,pv67),
inference(cnf_transformation,[],[f137]) ).
fof(f302,plain,
( ~ leq(n0,pv67)
| ~ leq(pv67,minus(n5,n1)) ),
inference(cnf_transformation,[],[f137]) ).
fof(f450,plain,
( leq(n0,pv67)
| leq(pv67,minus(n5,n1)) ),
inference(consistent_polarity_flipping,[],[f302]) ).
fof(f451,plain,
~ leq(n0,pv67),
inference(consistent_polarity_flipping,[],[f301]) ).
fof(f452,plain,
~ leq(pv67,minus(n5,n1)),
inference(consistent_polarity_flipping,[],[f300]) ).
fof(f481,definition,
( spl31_1
<=> leq(pv67,minus(n5,n1)) ),
introduced(definition,[new_symbols(definition,[spl31_1])],[avatar_definition]) ).
fof(f483,plain,
( leq(pv67,minus(n5,n1))
| ~ spl31_1 ),
inference(avatar_component_clause,[],[f481]) ).
fof(f485,definition,
( spl31_2
<=> leq(n0,pv67) ),
introduced(definition,[new_symbols(definition,[spl31_2])],[avatar_definition]) ).
fof(f487,plain,
( leq(n0,pv67)
| ~ spl31_2 ),
inference(avatar_component_clause,[],[f485]) ).
fof(f488,plain,
( spl31_1
| spl31_2 ),
inference(avatar_split_clause,[],[f450,f485,f481]) ).
fof(f489,plain,
( $false
| ~ spl31_2 ),
inference(resolution,[],[f487,f451]) ).
fof(f490,plain,
~ spl31_2,
inference(avatar_contradiction_clause,[],[f489]) ).
fof(f491,plain,
( $false
| ~ spl31_1 ),
inference(resolution,[],[f483,f452]) ).
fof(f492,plain,
~ spl31_1,
inference(avatar_contradiction_clause,[],[f491]) ).
cnf(s1,plain,
( spl31_1
| spl31_2 ),
inference(sat_conversion,[],[f488]) ).
cnf(s2,plain,
~ spl31_2,
inference(sat_conversion,[],[f490]) ).
cnf(s3,plain,
~ spl31_1,
inference(sat_conversion,[],[f492]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f493,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV084+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n011.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 09:49:45 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 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
% 0.21/0.28 % (3290240)Will run a generic schedule for satisfiability detection.
% 0.21/0.28 % (3290251)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1963076092:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.28 % (3290246)% WARNING: option uhcvi not known.
% 0.21/0.28 % (3290251) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3290240-3290251"...
% 0.21/0.28 % (3290251)...printing done.
% 0.21/0.28 % (3290249)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1285581958:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.28 % (3290248)dis+10_1_sil=32000:sp=arity:random_seed=460562262:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.28 % (3290245)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1641068306_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.28 % (3290247)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3398872282:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.28 % (3290251)Refutation found. Thanks to Tanya!
% 0.21/0.28 % SZS status Theorem for theBenchmark
% 0.21/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.28 % (3290251)------------------------------
% 0.21/0.28 % (3290251)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.28 % (3290251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.28 % (3290251)CaDiCaL version: 2.1.3
% 0.21/0.28 % (3290251)Termination reason: Refutation
% 0.21/0.28 % (3290251)Time elapsed: 0.005 s
% 0.21/0.28 % (3290251)Peak memory usage: 12 MB
% 0.21/0.28 % (3290251)Instructions burned: 14 (million)
% 0.21/0.28 % (3290240)Success in time 0.037 s
% 0.21/0.28 % Vampire exiting
%------------------------------------------------------------------------------