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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYN047-1 : 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 : n018.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 02:06:32 PM UTC 2026

% Result   : Unsatisfiable 0.08s 0.24s
% Output   : Refutation 0.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   29 (  11 unt;   4 def)
%            Number of atoms       :   55 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   51 (  25   ~;  22   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :    9 (   8 usr;   9 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,
    ( ~ p
    | q
    | s ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).

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

fof(f4,negated_conjecture,
    ~ s,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).

fof(f5,negated_conjecture,
    ( ~ q
    | r ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).

fof(f6,plain,
    ( ~ p
    | ~ q
    | ~ s ),
    inference(consistent_polarity_flipping,[],[f2]) ).

fof(f7,plain,
    ( ~ p
    | r
    | ~ s ),
    inference(consistent_polarity_flipping,[],[f3]) ).

fof(f8,plain,
    s,
    inference(consistent_polarity_flipping,[],[f4]) ).

fof(f9,plain,
    ( q
    | ~ r ),
    inference(consistent_polarity_flipping,[],[f5]) ).

fof(f11,definition,
    ( spl0_1
  <=> r ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f15,definition,
    ( spl0_2
  <=> q ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f18,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f9,f15,f11]) ).

fof(f20,definition,
    ( spl0_3
  <=> s ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f22,plain,
    ( ~ s
    | spl0_3 ),
    inference(avatar_component_clause,[],[f20]) ).

fof(f24,definition,
    ( spl0_4
  <=> p ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f27,plain,
    ( ~ spl0_3
    | spl0_1
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f7,f24,f11,f20]) ).

fof(f28,plain,
    ( ~ spl0_3
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f6,f24,f15,f20]) ).

fof(f29,plain,
    spl0_4,
    inference(avatar_split_clause,[],[f1,f24]) ).

fof(f30,plain,
    ( $false
    | spl0_3 ),
    inference(resolution,[],[f22,f8]) ).

fof(f31,plain,
    spl0_3,
    inference(avatar_contradiction_clause,[],[f30]) ).

cnf(s1,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(sat_conversion,[],[f18]) ).

cnf(s2,plain,
    ( spl0_1
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(sat_conversion,[],[f27]) ).

cnf(s3,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(sat_conversion,[],[f28]) ).

cnf(s4,plain,
    spl0_4,
    inference(sat_conversion,[],[f29]) ).

cnf(s5,plain,
    spl0_3,
    inference(sat_conversion,[],[f31]) ).

cnf(s6,plain,
    ~ spl0_2,
    inference(rat,[],[s3,s4,s5]) ).

cnf(s7,plain,
    spl0_1,
    inference(rat,[],[s2,s4,s5]) ).

cnf(s8,plain,
    $false,
    inference(rat,[],[s1,s6,s7]) ).

fof(f32,plain,
    $false,
    inference(avatar_sat_refutation,[],[s8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN047-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.17  % Computer : n018.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 15:24:25 UTC 2026
% 0.08/0.17  % CPUTime  : 
% 0.08/0.17  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20  Running first-order model finding
% 0.08/0.20  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
% 0.08/0.24  % (3478716)Will run a generic schedule for satisfiability detection.
% 0.08/0.24  % (3478727)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=915310612:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.24  % (3478727) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3478716-3478727"...
% 0.08/0.24  % (3478727)...printing done.
% 0.08/0.24  % (3478727)Refutation found. Thanks to Tanya!
% 0.08/0.24  % SZS status Unsatisfiable for theBenchmark
% 0.08/0.24  % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.24  % (3478727)------------------------------
% 0.08/0.24  % (3478727)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.24  % (3478727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.24  % (3478727)CaDiCaL version: 2.1.3
% 0.08/0.24  % (3478727)Termination reason: Refutation
% 0.08/0.24  % (3478727)Time elapsed: 0.001 s
% 0.08/0.24  % (3478727)Peak memory usage: 12 MB
% 0.08/0.24  % (3478716)Success in time 0.029 s
% 0.08/0.24  % Vampire exiting
%------------------------------------------------------------------------------