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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYN959+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 : n006.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 0.19s 0.31s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   10 (   3 unt;   0 def)
%            Number of atoms       :   20 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   17 (   7   ~;   3   |;   3   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   14 (   4   !;  10   ?)

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

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

fof(f3,plain,
    ~ ( ? [X0] : b(X0)
     => ? [X1] :
          ( a(X1)
          | b(X1) ) ),
    inference(rectify,[],[f2]) ).

fof(f4,plain,
    ~ ( ? [X0] : b(X0)
     => ? [X1] : b(X1) ),
    inference(pure_predicate_removal,[],[f3]) ).

fof(f5,plain,
    ( ! [X1] : ~ b(X1)
    & ? [X0] : b(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f6,plain,
    ( ! [X0] : ~ b(X0)
    & ? [X1] : b(X1) ),
    inference(rectify,[],[f5]) ).

fof(f7,plain,
    ( ! [X0] : ~ b(X0)
    & b(sK0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0)],[f6]) ).

fof(f8,plain,
    b(sK0),
    inference(cnf_transformation,[],[f7]) ).

fof(f9,plain,
    ! [X0] : ~ b(X0),
    inference(cnf_transformation,[],[f7]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN959+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23  % Computer : n006.cluster.edu
% 0.08/0.23  % Model    : x86_64 x86_64
% 0.08/0.23  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.23  % Memory   : 8046.5625MB
% 0.08/0.23  % OS       : Linux 6.8.0-71-generic
% 0.08/0.23  % CPULimit : 300
% 0.08/0.23  % WCLimit  : 300
% 0.08/0.23  % DateTime : Mon Sep 28 17:16:40 UTC 2026
% 0.08/0.23  % CPUTime  : 
% 0.08/0.23  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.19/0.26  Running first-order model finding
% 0.19/0.26  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
% 0.19/0.31  % (4124132)Will run a generic schedule for satisfiability detection.
% 0.19/0.31  % (4124139)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3074450669:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.31  % (4124139) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4124132-4124139"...
% 0.19/0.31  % (4124139)...printing done.
% 0.19/0.31  % (4124138)% WARNING: option uhcvi not known.
% 0.19/0.31  % (4124139)Refutation found. Thanks to Tanya!
% 0.19/0.31  % SZS status Theorem for theBenchmark
% 0.19/0.31  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.31  % (4124139)------------------------------
% 0.19/0.31  % (4124139)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.31  % (4124139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.31  % (4124139)CaDiCaL version: 2.1.3
% 0.19/0.31  % (4124139)Termination reason: Refutation
% 0.19/0.31  % (4124139)Time elapsed: 0.001 s
% 0.19/0.31  % (4124139)Peak memory usage: 11 MB
% 0.19/0.31  % (4124132)Success in time 0.035 s
% 0.19/0.31  % Vampire exiting
%------------------------------------------------------------------------------