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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYN389+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/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 02:07:33 PM UTC 2026

% Result   : Theorem 0.20s 0.28s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    8 (   3 unt;   0 def)
%            Number of atoms       :   19 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   16 (   5   ~;   2   |;   1   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :    3 (   2 usr;   3 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ( ( ( p
       => q )
     => p )
   => p ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel8) ).

fof(f2,negated_conjecture,
    ~ ( ( ( p
         => q )
       => p )
     => p ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ~ ( ( ~ p
       => p )
     => p ),
    inference(pure_predicate_removal,[],[f2]) ).

fof(f4,plain,
    ( ~ p
    & ( p
      | p ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( p
    | p ),
    inference(cnf_transformation,[],[f4]) ).

fof(f6,plain,
    ~ p,
    inference(cnf_transformation,[],[f4]) ).

fof(f7,plain,
    p,
    inference(duplicate_literal_removal,[],[f5]) ).

fof(f8,plain,
    $false,
    inference(resolution,[],[f7,f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN389+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.20  % Computer : n003.cluster.edu
% 0.10/0.20  % Model    : x86_64 x86_64
% 0.10/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20  % Memory   : 8046.5625MB
% 0.10/0.20  % OS       : Linux 6.8.0-71-generic
% 0.10/0.20  % CPULimit : 300
% 0.10/0.20  % WCLimit  : 300
% 0.10/0.20  % DateTime : Mon Sep 28 15:55:43 UTC 2026
% 0.10/0.20  % CPUTime  : 
% 0.10/0.20  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.23  Running first-order model finding
% 0.10/0.23  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
% 0.20/0.28  % (1719500)Will run a generic schedule for satisfiability detection.
% 0.20/0.28  % (1719511)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1489883115:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.28  % (1719511) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1719500-1719511"...
% 0.20/0.28  % (1719511)...printing done.
% 0.20/0.28  % (1719511)Refutation found. Thanks to Tanya!
% 0.20/0.28  % SZS status Theorem for theBenchmark
% 0.20/0.28  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.28  % (1719511)------------------------------
% 0.20/0.28  % (1719511)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.28  % (1719511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.28  % (1719511)CaDiCaL version: 2.1.3
% 0.20/0.28  % (1719511)Termination reason: Refutation
% 0.20/0.28  % (1719511)Time elapsed: 0.0000 s
% 0.20/0.28  % (1719511)Peak memory usage: 11 MB
% 0.20/0.28  % (1719500)Success in time 0.039 s
% 0.20/0.28  % Vampire exiting
%------------------------------------------------------------------------------