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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYN008-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/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 02:06:25 PM UTC 2026

% Result   : Unsatisfiable 0.08s 0.26s
% Output   : Refutation 0.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   17 (  11 unt;   3 def)
%            Number of atoms       :   26 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   18 (   9   ~;   6   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :    7 (   6 usr;   7 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ~ p,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).

fof(f2,negated_conjecture,
    ~ q,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).

fof(f3,negated_conjecture,
    r,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).

fof(f6,negated_conjecture,
    ( ~ r
    | p
    | q ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).

fof(f8,definition,
    ( spl0_1
  <=> q ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f12,definition,
    ( spl0_2
  <=> p ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f16,definition,
    ( spl0_3
  <=> r ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f19,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f6,f16,f12,f8]) ).

fof(f20,plain,
    spl0_3,
    inference(avatar_split_clause,[],[f3,f16]) ).

fof(f21,plain,
    ~ spl0_1,
    inference(avatar_split_clause,[],[f2,f8]) ).

fof(f22,plain,
    ~ spl0_2,
    inference(avatar_split_clause,[],[f1,f12]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3 ),
    inference(sat_conversion,[],[f19]) ).

cnf(s2,plain,
    spl0_3,
    inference(sat_conversion,[],[f20]) ).

cnf(s3,plain,
    ~ spl0_1,
    inference(sat_conversion,[],[f21]) ).

cnf(s4,plain,
    ~ spl0_2,
    inference(sat_conversion,[],[f22]) ).

cnf(s5,plain,
    $false,
    inference(rat,[],[s1,s2,s4,s3]) ).

fof(f23,plain,
    $false,
    inference(avatar_sat_refutation,[],[s5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN008-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19  % Computer : n006.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 15:19:44 UTC 2026
% 0.08/0.19  % CPUTime  : 
% 0.08/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23  Running first-order model finding
% 0.08/0.23  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
% 0.08/0.26  % (4047116)Will run a generic schedule for satisfiability detection.
% 0.08/0.26  % (4047125)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=186125103:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.26  % (4047125) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4047116-4047125"...
% 0.08/0.26  % (4047125)...printing done.
% 0.08/0.26  % (4047125)Refutation found. Thanks to Tanya!
% 0.08/0.26  % SZS status Unsatisfiable for theBenchmark
% 0.08/0.26  % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.26  % (4047125)------------------------------
% 0.08/0.26  % (4047125)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.26  % (4047125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.26  % (4047125)CaDiCaL version: 2.1.3
% 0.08/0.26  % (4047125)Termination reason: Refutation
% 0.08/0.26  % (4047125)Time elapsed: 0.0000 s
% 0.08/0.26  % (4047125)Peak memory usage: 12 MB
% 0.08/0.26  % (4047116)Success in time 0.024 s
% 0.08/0.26  % Vampire exiting
%------------------------------------------------------------------------------