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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWC405-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/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 01:05:54 PM UTC 2026

% Result   : Unsatisfiable 0.21s 0.26s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   23 (  13 unt;   2 def)
%            Number of atoms       :   34 (   2 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   23 (  12   ~;   9   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    1 (   0 sgn   1   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f204,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).

fof(f205,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).

fof(f206,negated_conjecture,
    ! [X0] :
      ( memberP(sk4,X0)
      | ~ ssItem(X0)
      | ~ memberP(sk3,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

fof(f208,negated_conjecture,
    ssItem(sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

fof(f209,negated_conjecture,
    memberP(sk1,sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

fof(f210,negated_conjecture,
    ~ memberP(sk2,sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

fof(f213,plain,
    memberP(sk3,sk5),
    inference(definition_unfolding,[],[f209,f205]) ).

fof(f214,plain,
    ~ memberP(sk4,sk5),
    inference(definition_unfolding,[],[f210,f204]) ).

fof(f344,plain,
    ( ~ ssItem(sk5)
    | ~ memberP(sk3,sk5) ),
    inference(resolution,[],[f206,f214]) ).

fof(f346,definition,
    ( spl0_10
  <=> memberP(sk3,sk5) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f348,plain,
    ( ~ memberP(sk3,sk5)
    | spl0_10 ),
    inference(avatar_component_clause,[],[f346]) ).

fof(f350,definition,
    ( spl0_11
  <=> ssItem(sk5) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f352,plain,
    ( ~ ssItem(sk5)
    | spl0_11 ),
    inference(avatar_component_clause,[],[f350]) ).

fof(f353,plain,
    ( ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f344,f350,f346]) ).

fof(f354,plain,
    ( $false
    | spl0_11 ),
    inference(resolution,[],[f352,f208]) ).

fof(f355,plain,
    spl0_11,
    inference(avatar_contradiction_clause,[],[f354]) ).

fof(f356,plain,
    ( $false
    | spl0_10 ),
    inference(resolution,[],[f348,f213]) ).

fof(f357,plain,
    spl0_10,
    inference(avatar_contradiction_clause,[],[f356]) ).

cnf(s11,plain,
    ( ~ spl0_10
    | ~ spl0_11 ),
    inference(sat_conversion,[],[f353]) ).

cnf(s12,plain,
    spl0_11,
    inference(sat_conversion,[],[f355]) ).

cnf(s13,plain,
    spl0_10,
    inference(sat_conversion,[],[f357]) ).

cnf(s14,plain,
    $false,
    inference(rat,[],[s11,s12,s13]) ).

fof(f358,plain,
    $false,
    inference(avatar_sat_refutation,[],[s14]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC405-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19  % Computer : n026.cluster.edu
% 0.08/0.19  % Model    : x86_64 x86_64
% 0.08/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19  % Memory   : 8046.5625MB
% 0.08/0.19  % OS       : Linux 6.8.0-71-generic
% 0.08/0.19  % CPULimit : 300
% 0.08/0.19  % WCLimit  : 300
% 0.08/0.19  % DateTime : Mon Sep 28 09:34:11 UTC 2026
% 0.08/0.19  % CPUTime  : 
% 0.08/0.19  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
% 0.21/0.26  % (3722024)Will run a generic schedule for satisfiability detection.
% 0.21/0.26  % (3722035)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1393468944:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.26  % (3722030)% WARNING: option uhcvi not known.
% 0.21/0.26  % (3722035) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3722024-3722035"...
% 0.21/0.26  % (3722035)...printing done.
% 0.21/0.26  % (3722035)Refutation found. Thanks to Tanya!
% 0.21/0.26  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.26  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.26  % (3722035)------------------------------
% 0.21/0.26  % (3722035)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.26  % (3722035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.26  % (3722035)CaDiCaL version: 2.1.3
% 0.21/0.26  % (3722035)Termination reason: Refutation
% 0.21/0.26  % (3722035)Time elapsed: 0.003 s
% 0.21/0.26  % (3722035)Peak memory usage: 13 MB
% 0.21/0.26  % (3722035)Instructions burned: 8 (million)
% 0.21/0.26  % (3722024)Success in time 0.028 s
% 0.21/0.26  % Vampire exiting
%------------------------------------------------------------------------------