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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SET061+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n014.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 12:42:52 PM UTC 2026

% Result   : Theorem 0.12s 0.45s
% Output   : Refutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    8 (   8 unt;   0 def)
%            Number of atoms       :    8 (   0 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    5 (   5   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   10 (   7   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f16,axiom,
    ! [X0] : ~ member(X0,null_class),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax',null_class_defn) ).

fof(f44,conjecture,
    ? [X0] :
    ! [X1] : ~ member(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_null_class) ).

fof(f45,negated_conjecture,
    ~ ? [X0] :
      ! [X1] : ~ member(X1,X0),
    inference(negated_conjecture,[status(cth)],[f44]) ).

fof(f60,plain,
    ! [X0] :
    ? [X1] : member(X1,X0),
    inference(ennf_transformation,[],[f45]) ).

fof(f103,plain,
    ! [X0] : member(sK6(X0),X0),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X1,sK6(X0))],[f60]) ).

fof(f135,plain,
    ! [X0] : ~ member(X0,null_class),
    inference(cnf_transformation,[],[f16]) ).

fof(f191,plain,
    ! [X0] : member(sK6(X0),X0),
    inference(cnf_transformation,[],[f103]) ).

fof(f240,plain,
    $false,
    inference(resolution,[],[f135,f191]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET061+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38  % Computer : n014.cluster.edu
% 0.12/0.38  % Model    : x86_64 x86_64
% 0.12/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38  % Memory   : 8046.5625MB
% 0.12/0.38  % OS       : Linux 6.8.0-71-generic
% 0.12/0.38  % CPULimit : 300
% 0.12/0.38  % WCLimit  : 300
% 0.12/0.38  % DateTime : Mon Sep 28 00:24:46 UTC 2026
% 0.12/0.39  % CPUTime  : 
% 0.12/0.39  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41  Running first-order model finding
% 0.12/0.41  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
% 0.12/0.45  % (1314886)Will run a generic schedule for satisfiability detection.
% 0.12/0.45  % (1314897)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=986185498:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.12/0.45  % (1314897) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1314886-1314897"...
% 0.12/0.45  % (1314892)% WARNING: option uhcvi not known.
% 0.12/0.45  % (1314897)...printing done.
% 0.12/0.45  % (1314897)Refutation found. Thanks to Tanya!
% 0.12/0.45  % SZS status Theorem for theBenchmark
% 0.12/0.45  % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.45  % (1314897)------------------------------
% 0.12/0.45  % (1314897)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.45  % (1314897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.45  % (1314897)CaDiCaL version: 2.1.3
% 0.12/0.45  % (1314897)Termination reason: Refutation
% 0.12/0.45  % (1314897)Time elapsed: 0.002 s
% 0.12/0.45  % (1314897)Peak memory usage: 12 MB
% 0.12/0.45  % (1314897)Instructions burned: 6 (million)
% 0.12/0.45  % (1314886)Success in time 0.027 s
% 0.12/0.45  % Vampire exiting
%------------------------------------------------------------------------------