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Vampire-SAT---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : LAT088-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n026.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 11:47:49 AM UTC 2026

% Result   : Unsatisfiable 0.22s 0.53s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   11 (  11 unt;   0 def)
%            Number of atoms       :   11 (  10 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-2 aty)
%            Number of variables   :   15 (  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] : join(meet(X0,X1),meet(X0,join(X0,X1))) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',wal_absorbtion_1) ).

fof(f4,axiom,
    ! [X2,X0,X1] : meet(meet(join(X0,X1),join(X2,X0)),X0) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',wal_absorbtion_4) ).

fof(f5,axiom,
    ! [X2,X0,X1] : join(join(meet(X0,X1),meet(X2,X0)),X0) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',wal_absorbtion_5) ).

fof(f6,negated_conjecture,
    meet(a,a) != a,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_normal_axioms_1) ).

fof(f7,plain,
    a != meet(a,a),
    inference(reorient_equations,[],[f6]) ).

fof(f29,plain,
    ! [X0,X1] : meet(meet(join(X0,X1),X0),X0) = X0,
    inference(superposition,[],[f4,f5]) ).

fof(f38,plain,
    ! [X0,X1] : meet(X0,X1) = meet(meet(X0,meet(X0,X1)),meet(X0,X1)),
    inference(superposition,[],[f29,f1]) ).

fof(f58,plain,
    ! [X0,X1] : meet(meet(meet(join(X0,X1),X0),X0),X0) = X0,
    inference(superposition,[],[f38,f29]) ).

fof(f67,plain,
    ! [X0] : meet(X0,X0) = X0,
    inference(forward_demodulation,[],[f58,f29]) ).

fof(f81,plain,
    a != a,
    inference(superposition,[],[f7,f67]) ).

fof(f82,plain,
    $false,
    inference(trivial_inequality_removal,[],[f81]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LAT088-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.07  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.16/0.43  % Computer : n026.cluster.edu
% 0.16/0.43  % Model    : x86_64 x86_64
% 0.16/0.43  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43  % Memory   : 8046.5625MB
% 0.16/0.43  % OS       : Linux 6.8.0-71-generic
% 0.16/0.43  % CPULimit : 300
% 0.16/0.43  % WCLimit  : 300
% 0.16/0.43  % DateTime : Sun Sep 27 14:02:56 UTC 2026
% 0.16/0.43  % CPUTime  : 
% 0.16/0.43  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.22/0.47  Running first-order model finding
% 0.22/0.47  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
% 0.22/0.53  % (2870491)Will run a generic schedule for satisfiability detection.
% 0.22/0.53  % (2870496)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2773083452_3000 on theBenchmark for (3000ds/0Mi)
% 0.22/0.53  % TRYING [1]
% 0.22/0.53  % TRYING [2]
% 0.22/0.53  % TRYING [3]
% 0.22/0.53  % TRYING [4]
% 0.22/0.53  % (2870497)% WARNING: option uhcvi not known.
% 0.22/0.53  % TRYING [5]
% 0.22/0.53  % (2870497)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=328046712:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.22/0.53  % (2870498)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2377965632:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.22/0.53  % (2870500)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2565499457:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.22/0.53  % (2870501)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2603712823:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.22/0.53  % (2870502)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2525093672:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.22/0.53  % (2870499)dis+10_1_sil=32000:sp=arity:random_seed=1335723732:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.22/0.53  % TRYING [6]
% 0.22/0.53  % (2870498) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2870491-2870498"...
% 0.22/0.53  % (2870498)...printing done.
% 0.22/0.53  % (2870502) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2870491-2870502"...
% 0.22/0.53  % (2870497) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2870491-2870497"...
% 0.22/0.53  % (2870498)Refutation found. Thanks to Tanya!
% 0.22/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.22/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.53  % (2870498)------------------------------
% 0.22/0.53  % (2870498)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.53  % (2870498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.53  % (2870498)CaDiCaL version: 2.1.3
% 0.22/0.53  % (2870498)Termination reason: Refutation
% 0.22/0.53  % (2870498)Time elapsed: 0.006 s
% 0.22/0.53  % (2870498)Peak memory usage: 11 MB
% 0.22/0.53  % (2870498)Instructions burned: 5 (million)
% 0.22/0.53  % (2870491)Success in time 0.045 s
% 0.22/0.53  % Vampire exiting
%------------------------------------------------------------------------------