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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYN933+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n011.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 02:22:53 PM UTC 2026

% Result   : Theorem 0.08s 0.24s
% Output   : Refutation 0.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   10 (   3 unt;   0 def)
%            Number of atoms       :   19 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   16 (   7   ~;   4   |;   1   &)
%                                         (   3 <=>;   0  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :    2 (   1 usr;   2 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    2 (   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ( ! [X0] : c
  <=> c ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

fof(f2,negated_conjecture,
    ~ ( ! [X0] : c
    <=> c ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ~ ( c
    <=> c ),
    inference(rectify,[],[f2]) ).

fof(f4,plain,
    ( c
  <~> c ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( ~ c
      | ~ c )
    & ( c
      | c ) ),
    inference(nnf_transformation,[],[f4]) ).

fof(f6,plain,
    ( c
    | c ),
    inference(cnf_transformation,[],[f5]) ).

fof(f7,plain,
    ( ~ c
    | ~ c ),
    inference(cnf_transformation,[],[f5]) ).

fof(f8,plain,
    c,
    inference(duplicate_literal_removal,[],[f6]) ).

fof(f9,plain,
    ~ c,
    inference(duplicate_literal_removal,[],[f7]) ).

fof(f10,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f9,f8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN933+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.17  % Computer : n011.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 17:13:46 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  % (3537340)Will run a generic schedule for satisfiability detection.
% 0.08/0.24  % (3537350)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3636333128:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.24  % (3537350) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3537340-3537350"...
% 0.08/0.24  % (3537350)...printing done.
% 0.08/0.24  % (3537350)Refutation found. Thanks to Tanya!
% 0.08/0.24  % SZS status Theorem for theBenchmark
% 0.08/0.24  % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.24  % (3537350)------------------------------
% 0.08/0.24  % (3537350)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.24  % (3537350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.24  % (3537350)CaDiCaL version: 2.1.3
% 0.08/0.24  % (3537350)Termination reason: Refutation
% 0.08/0.24  % (3537350)Time elapsed: 0.0000 s
% 0.08/0.24  % (3537350)Peak memory usage: 11 MB
% 0.08/0.24  % (3537340)Success in time 0.026 s
% 0.08/0.24  % Vampire exiting
%------------------------------------------------------------------------------