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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : ARI021_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n003.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 09:33:53 AM UTC 2026

% Result   : Theorem 0.21s 0.28s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    6 (   6 unt;   0 typ;   0 def)
%            Number of atoms       :    6 (   0 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number arithmetic     :   15 (   5 atm;   0 fun;  10 num;   0 var)
%            Number of types       :    0 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   0 usr;   2 con; 0-0 aty)
%            Number of variables   :    0 (   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f1,conjecture,
    $lesseq(-2,2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n2_lesseq_2) ).

tff(f2,negated_conjecture,
    ~ $lesseq(-2,2),
    inference(negated_conjecture,[status(cth)],[f1]) ).

tff(f3,plain,
    ~ ~ $less(2,-2),
    inference(theory_normalization,[],[f2]) ).

tff(f16,plain,
    $less(2,-2),
    inference(flattening,[],[f3]) ).

tff(f17,plain,
    $less(2,-2),
    inference(cnf_transformation,[],[f16]) ).

tff(f18,plain,
    $false,
    inference(evaluation,[],[f17]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ARI021_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20  % Computer : n003.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 20:42:58 UTC 2026
% 0.08/0.20  % CPUTime  : 
% 0.08/0.20  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23  Running first-order model finding
% 0.08/0.23  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
% 0.21/0.28  % (1972320)Will run a generic schedule for satisfiability detection.
% 0.21/0.28  % (1972325)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1667435955_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.28  % (1972325)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.28  % (1972325)Terminated due to inappropriate strategy.
% 0.21/0.28  % (1972325)------------------------------
% 0.21/0.28  % (1972325)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.28  % (1972325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.28  % (1972325)CaDiCaL version: 2.1.3
% 0.21/0.28  % (1972325)Termination reason: Inappropriate
% 0.21/0.28  % (1972325)Time elapsed: 0.0000 s
% 0.21/0.28  % (1972325)Peak memory usage: 10 MB
% 0.21/0.28  % (1972325)------------------------------
% 0.21/0.28  % (1972325)------------------------------
% 0.21/0.28  % (1972326)% WARNING: option uhcvi not known.
% 0.21/0.28  % (1972326)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2365963605:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.28  % (1972327)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3295828532:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.28  % (1972328)dis+10_1_sil=32000:sp=arity:random_seed=404285679:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.28  % (1972329)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3339097188:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.28  % (1972330)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1409593468:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.28  % (1972331)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1683619525:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.28  % (1972326) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1972320-1972326"...
% 0.21/0.28  % (1972328) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1972320-1972328"...
% 0.21/0.28  % (1972327) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1972320-1972327"...
% 0.21/0.28  % (1972329) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1972320-1972329"...
% 0.21/0.28  % (1972330) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1972320-1972330"...
% 0.21/0.28  % (1972331) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1972320-1972331"...
% 0.21/0.28  % (1972326)...printing done.
% 0.21/0.28  % (1972328)...printing done.
% 0.21/0.28  % (1972327)...printing done.
% 0.21/0.28  % (1972329)...printing done.
% 0.21/0.28  % (1972330)...printing done.
% 0.21/0.28  % (1972331)...printing done.
% 0.21/0.28  % (1972333)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=610206442:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.21/0.28  % (1972326)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  % (1972326)------------------------------
% 0.21/0.28  % (1972326)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.28  % (1972326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.28  % (1972326)CaDiCaL version: 2.1.3
% 0.21/0.28  % (1972326)Termination reason: Refutation
% 0.21/0.28  % (1972326)Time elapsed: 0.001 s
% 0.21/0.28  % (1972326)Peak memory usage: 11 MB
% 0.21/0.28  % (1972320)Success in time 0.037 s
% 0.21/0.28  % Vampire exiting
%------------------------------------------------------------------------------