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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYN957+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 : 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 02:22:57 PM UTC 2026

% Result   : Theorem 0.09s 0.25s
% Output   : Refutation 0.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    8 (   3 unt;   0 def)
%            Number of atoms       :   13 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   14 (   9   ~;   2   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :    8 (   5   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ? [X0] :
      ! [X1] :
        ( a(X1,X0)
      <=> ~ a(X1,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

fof(f2,negated_conjecture,
    ~ ~ ? [X0] :
        ! [X1] :
          ( a(X1,X0)
        <=> ~ a(X1,X1) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ? [X0] :
    ! [X1] :
      ( a(X1,X0)
    <=> ~ a(X1,X1) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ! [X1] :
      ( a(X1,X1)
      | a(X1,sK0) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f5,plain,
    ! [X1] :
      ( ~ a(X1,X1)
      | ~ a(X1,sK0) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f6,plain,
    a(sK0,sK0),
    inference(factoring,[],[f4]) ).

fof(f10,plain,
    ~ a(sK0,sK0),
    inference(resolution,[],[f6,f5]) ).

fof(f11,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f10,f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN957+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.17  % Computer : n018.cluster.edu
% 0.09/0.17  % Model    : x86_64 x86_64
% 0.09/0.17  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17  % Memory   : 8046.5625MB
% 0.09/0.17  % OS       : Linux 6.8.0-71-generic
% 0.09/0.17  % CPULimit : 300
% 0.09/0.17  % WCLimit  : 300
% 0.09/0.17  % DateTime : Mon Sep 28 17:18:55 UTC 2026
% 0.09/0.17  % CPUTime  : 
% 0.09/0.17  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20  Running first-order model finding
% 0.09/0.20  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
% 0.09/0.25  % (3551935)Will run a generic schedule for satisfiability detection.
% 0.09/0.25  % (3551944)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=658555463:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.25  % (3551944) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3551935-3551944"...
% 0.09/0.25  % (3551944)...printing done.
% 0.09/0.25  % (3551944)Refutation found. Thanks to Tanya!
% 0.09/0.25  % SZS status Theorem for theBenchmark
% 0.09/0.25  % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.25  % (3551944)------------------------------
% 0.09/0.25  % (3551944)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.25  % (3551944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.25  % (3551944)CaDiCaL version: 2.1.3
% 0.09/0.25  % (3551944)Termination reason: Refutation
% 0.09/0.25  % (3551944)Time elapsed: 0.001 s
% 0.09/0.25  % (3551944)Peak memory usage: 11 MB
% 0.09/0.25  % (3551935)Success in time 0.037 s
% 0.09/0.25  % Vampire exiting
%------------------------------------------------------------------------------