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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYO215^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n017.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 : Wed Sep 30 08:49:32 AM UTC 2026

% Result   : Theorem 0.20s 0.26s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    9 (   4 unt;   0 def)
%            Number of atoms       :   14 (  13 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   15 (  10   ~;   0   |;   3   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   18 (   6   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ( ? [X0,X1] : X0 != X1
   => ! [X2] :
      ? [X3] : X3 != X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM26) ).

fof(f2,negated_conjecture,
    ~ ( ? [X0,X1] : X0 != X1
     => ! [X2] :
        ? [X3] : X3 != X2 ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ? [X2] :
      ! [X3] : X2 = X3
    & ? [X0,X1] : X0 != X1 ),
    inference(ennf_transformation,[],[f2]) ).

fof(f4,plain,
    ( ? [X0] :
      ! [X1] : X0 = X1
    & ? [X2,X3] : X2 != X3 ),
    inference(rectify,[],[f3]) ).

fof(f5,plain,
    ( ! [X1] : sK0 = X1
    & sK1 != sK2 ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X2,sK1),skolemize(X3,sK2)],[f4]) ).

fof(f6,plain,
    sK1 != sK2,
    inference(cnf_transformation,[],[f5]) ).

fof(f7,plain,
    ! [X1] : sK0 = X1,
    inference(cnf_transformation,[],[f5]) ).

fof(f9,plain,
    sK0 != sK1,
    inference(superposition,[],[f6,f7]) ).

fof(f10,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f9,f7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYO215^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.19  % Computer : n017.cluster.edu
% 0.10/0.19  % Model    : x86_64 x86_64
% 0.10/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19  % Memory   : 8046.5625MB
% 0.10/0.19  % OS       : Linux 6.8.0-71-generic
% 0.10/0.19  % CPULimit : 300
% 0.10/0.19  % WCLimit  : 300
% 0.10/0.19  % DateTime : Tue Sep 29 16:35:07 UTC 2026
% 0.10/0.19  % CPUTime  : 
% 0.10/0.19  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.22  Running first-order model finding
% 0.10/0.22  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.26  % (567330)Will run a generic schedule for satisfiability detection.
% 0.20/0.26  % (567344)dis+10_1_sil=32000:sp=arity:random_seed=319725874:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.26  % (567344) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-567330-567344"...
% 0.20/0.26  % (567344)...printing done.
% 0.20/0.26  % (567344)Refutation found. Thanks to Tanya!
% 0.20/0.26  % SZS status Theorem for theBenchmark
% 0.20/0.26  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.26  % (567344)------------------------------
% 0.20/0.26  % (567344)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.26  % (567344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.26  % (567344)CaDiCaL version: 2.1.3
% 0.20/0.26  % (567344)Termination reason: Refutation
% 0.20/0.26  % (567344)Time elapsed: 0.001 s
% 0.20/0.26  % (567344)Peak memory usage: 11 MB
% 0.20/0.26  % (567330)Success in time 0.034 s
% 0.20/0.26  % Vampire exiting
%------------------------------------------------------------------------------