%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV080+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n006.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 01:20:09 PM UTC 2026
% Result : Theorem 0.06s 0.25s
% Output : Refutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 10 unt; 2 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 31 ( 13 ~; 6 |; 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,pv56)
& leq(pv56,minus(n5,n1)) )
=> ( leq(n0,pv56)
& leq(pv56,minus(n5,n1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_array_0021) ).
fof(f54,negated_conjecture,
~ ( ( leq(n0,pv56)
& leq(pv56,minus(n5,n1)) )
=> ( leq(n0,pv56)
& leq(pv56,minus(n5,n1)) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f136,plain,
( ( ~ leq(n0,pv56)
| ~ leq(pv56,minus(n5,n1)) )
& leq(n0,pv56)
& leq(pv56,minus(n5,n1)) ),
inference(ennf_transformation,[],[f54]) ).
fof(f137,plain,
( ( ~ leq(n0,pv56)
| ~ leq(pv56,minus(n5,n1)) )
& leq(n0,pv56)
& leq(pv56,minus(n5,n1)) ),
inference(flattening,[],[f136]) ).
fof(f308,plain,
( ~ leq(pv56,minus(n5,n1))
| ~ leq(n0,pv56) ),
inference(cnf_transformation,[],[f137]) ).
fof(f309,plain,
leq(pv56,minus(n5,n1)),
inference(cnf_transformation,[],[f137]) ).
fof(f310,plain,
leq(n0,pv56),
inference(cnf_transformation,[],[f137]) ).
fof(f504,plain,
~ leq(n0,pv56),
inference(consistent_polarity_flipping,[],[f310]) ).
fof(f505,plain,
~ leq(pv56,minus(n5,n1)),
inference(consistent_polarity_flipping,[],[f309]) ).
fof(f506,plain,
( leq(pv56,minus(n5,n1))
| leq(n0,pv56) ),
inference(consistent_polarity_flipping,[],[f308]) ).
fof(f514,definition,
( spl31_1
<=> leq(n0,pv56) ),
introduced(definition,[new_symbols(definition,[spl31_1])],[avatar_definition]) ).
fof(f518,definition,
( spl31_2
<=> leq(pv56,minus(n5,n1)) ),
introduced(definition,[new_symbols(definition,[spl31_2])],[avatar_definition]) ).
fof(f521,plain,
( spl31_1
| spl31_2 ),
inference(avatar_split_clause,[],[f506,f518,f514]) ).
fof(f522,plain,
~ spl31_2,
inference(avatar_split_clause,[],[f505,f518]) ).
fof(f523,plain,
~ spl31_1,
inference(avatar_split_clause,[],[f504,f514]) ).
cnf(s1,plain,
( spl31_1
| spl31_2 ),
inference(sat_conversion,[],[f521]) ).
cnf(s2,plain,
~ spl31_2,
inference(sat_conversion,[],[f522]) ).
cnf(s3,plain,
~ spl31_1,
inference(sat_conversion,[],[f523]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f524,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV080+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.06/0.17 % Computer : n006.cluster.edu
% 0.06/0.17 % Model : x86_64 x86_64
% 0.06/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.17 % Memory : 8046.5625MB
% 0.06/0.17 % OS : Linux 6.8.0-71-generic
% 0.06/0.17 % CPULimit : 300
% 0.06/0.17 % WCLimit : 300
% 0.06/0.17 % DateTime : Mon Sep 28 09:49:55 UTC 2026
% 0.06/0.18 % CPUTime :
% 0.06/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.06/0.21 Running first-order model finding
% 0.06/0.21 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.25 % (3855603)Will run a generic schedule for satisfiability detection.
% 0.06/0.25 % (3855609)% WARNING: option uhcvi not known.
% 0.06/0.25 % (3855609)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2967071862:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.06/0.25 % (3855611)dis+10_1_sil=32000:sp=arity:random_seed=2097545721:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.06/0.25 % (3855614)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1970266549:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.06/0.25 % (3855608)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1178717688_2999 on theBenchmark for (2999ds/0Mi)
% 0.06/0.25 % (3855612)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1353596815:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.06/0.25 % (3855610)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2731136492:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.06/0.25 % (3855613)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3726205369:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.06/0.25 % (3855609) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3855603-3855609"...
% 0.06/0.25 % (3855609)...printing done.
% 0.06/0.25 % (3855609)Refutation found. Thanks to Tanya!
% 0.06/0.25 % SZS status Theorem for theBenchmark
% 0.06/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.06/0.25 % (3855609)------------------------------
% 0.06/0.25 % (3855609)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.06/0.25 % (3855609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.06/0.25 % (3855609)CaDiCaL version: 2.1.3
% 0.06/0.25 % (3855609)Termination reason: Refutation
% 0.06/0.25 % (3855609)Time elapsed: 0.004 s
% 0.06/0.25 % (3855609)Peak memory usage: 12 MB
% 0.06/0.25 % (3855609)Instructions burned: 11 (million)
% 0.06/0.25 % (3855603)Success in time 0.034 s
% 0.06/0.25 % Vampire exiting
%------------------------------------------------------------------------------