%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV084+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 01:08:05 PM UTC 2026
% Result : Theorem 0.18s 0.80s
% Output : Refutation 0.18s
% 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,pv67)
& leq(pv67,minus(n5,n1)) )
=> ( leq(n0,pv67)
& leq(pv67,minus(n5,n1)) ) ),
file('/export/starexec/sandbox2/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(f339,definition,
( spl31_1
<=> leq(pv67,minus(n5,n1)) ),
introduced(definition,[new_symbols(definition,[spl31_1])],[avatar_definition]) ).
fof(f343,definition,
( spl31_2
<=> leq(n0,pv67) ),
introduced(definition,[new_symbols(definition,[spl31_2])],[avatar_definition]) ).
fof(f346,plain,
( ~ spl31_1
| ~ spl31_2 ),
inference(avatar_split_clause,[],[f302,f343,f339]) ).
fof(f347,plain,
spl31_2,
inference(avatar_split_clause,[],[f301,f343]) ).
fof(f348,plain,
spl31_1,
inference(avatar_split_clause,[],[f300,f339]) ).
cnf(s1,plain,
( ~ spl31_1
| ~ spl31_2 ),
inference(sat_conversion,[],[f346]) ).
cnf(s2,plain,
spl31_2,
inference(sat_conversion,[],[f347]) ).
cnf(s3,plain,
spl31_1,
inference(sat_conversion,[],[f348]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f349,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV084+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n005.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Mon Sep 28 09:49:47 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 Running first-order theorem proving
% 0.08/0.20 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.80 % (679115)Detected formulas, will run a generic FOF schedule.
% 0.18/0.80 % (679125)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2681173528:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.18/0.80 % (679125)First to succeed.
% 0.18/0.80 % (679125)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-679115"
% 0.18/0.80 % (679123)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1566562706:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.18/0.80 % (679120)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=700012593:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.18/0.80 % (679121)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=869870724:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.18/0.80 % (679122)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1345310277:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.18/0.80 % (679124)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1678816395:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.18/0.80 % (679126)dis-21_1_sil=8000:lcm=predicate:random_seed=2397995000:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 0.18/0.80 % (679124)Also succeeded, but the first one will report.
% 0.18/0.80 % (679123)Also succeeded, but the first one will report.
% 0.18/0.80 % (679126)Also succeeded, but the first one will report.
% 0.18/0.80 % (679125)Refutation found. Thanks to Tanya!
% 0.18/0.80 % SZS status Theorem for theBenchmark
% 0.18/0.80 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.80 % (679125)------------------------------
% 0.18/0.80 % (679125)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/0.80 % (679125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.80 % (679125)CaDiCaL version: 2.1.3
% 0.18/0.80 % (679125)Termination reason: Refutation
% 0.18/0.80 % (679125)Time elapsed: 0.003 s
% 0.18/0.80 % (679125)Peak memory usage: 89 MB
% 0.18/0.80 % (679125)Instructions burned: 9 (million)
% 0.18/0.80 % (679125)------------------------------
% 0.18/0.80 % (679125)------------------------------
% 0.18/0.80 % (679115)Success in time 0.306 s
% 0.18/0.80 % Vampire exiting
%------------------------------------------------------------------------------