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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SEU163+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/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 12:52:11 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    :   12 (   5 unt;   0 def)
%            Number of atoms       :   19 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   13 (   6   ~;   3   |;   1   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   14 (  12   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f45,axiom,
    ! [X0,X1] :
      ( in(X0,X1)
     => subset(X0,union(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l50_zfmisc_1) ).

fof(f92,conjecture,
    ! [X0,X1] :
      ( in(X0,X1)
     => subset(X0,union(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t92_zfmisc_1) ).

fof(f93,negated_conjecture,
    ~ ! [X0,X1] :
        ( in(X0,X1)
       => subset(X0,union(X1)) ),
    inference(negated_conjecture,[status(cth)],[f92]) ).

fof(f114,plain,
    ! [X0,X1] :
      ( subset(X0,union(X1))
      | ~ in(X0,X1) ),
    inference(ennf_transformation,[],[f45]) ).

fof(f142,plain,
    ? [X0,X1] :
      ( ~ subset(X0,union(X1))
      & in(X0,X1) ),
    inference(ennf_transformation,[],[f93]) ).

fof(f226,plain,
    ! [X0,X1] :
      ( ~ in(X0,X1)
      | subset(X0,union(X1)) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f288,plain,
    in(sK21,sK22),
    inference(cnf_transformation,[],[f142]) ).

fof(f289,plain,
    ~ subset(sK21,union(sK22)),
    inference(cnf_transformation,[],[f142]) ).

fof(f439,plain,
    ! [X0,X1] :
      ( subset(X0,union(X1))
      | in(X0,X1) ),
    inference(consistent_polarity_flipping,[],[f226]) ).

fof(f463,plain,
    ~ in(sK21,sK22),
    inference(consistent_polarity_flipping,[],[f288]) ).

fof(f497,plain,
    in(sK21,sK22),
    inference(resolution,[],[f439,f289]) ).

fof(f499,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f497,f463]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SEU163+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38  % Computer : n011.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 03:49:45 UTC 2026
% 0.12/0.38  % CPUTime  : 
% 0.12/0.38  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  % (3001171)Will run a generic schedule for satisfiability detection.
% 0.12/0.45  % (3001177)% WARNING: option uhcvi not known.
% 0.12/0.45  % (3001177)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2126348162:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.12/0.45  % (3001177) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3001171-3001177"...
% 0.12/0.45  % (3001177)...printing done.
% 0.12/0.45  % (3001178)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=191892543:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.12/0.45  % (3001177)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  % (3001177)------------------------------
% 0.12/0.45  % (3001177)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.45  % (3001177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.45  % (3001177)CaDiCaL version: 2.1.3
% 0.12/0.45  % (3001177)Termination reason: Refutation
% 0.12/0.45  % (3001177)Time elapsed: 0.003 s
% 0.12/0.45  % (3001177)Peak memory usage: 12 MB
% 0.12/0.45  % (3001177)Instructions burned: 7 (million)
% 0.12/0.45  % (3001171)Success in time 0.031 s
% 0.12/0.45  % Vampire exiting
%------------------------------------------------------------------------------