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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWV392+1 : 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 : n009.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 01:21:09 PM UTC 2026

% Result   : Theorem 0.20s 0.27s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    9 (   4 unt;   0 def)
%            Number of atoms       :   24 (   5 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   24 (   9   ~;   2   |;   9   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   14 (   8   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8,axiom,
    ! [X0] : ~ contains_slb(create_slb,X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+2.ax',ax20) ).

fof(f19,conjecture,
    ! [X0,X1] :
      ( pair_in_list(create_slb,X0,X1)
     => ! [X2] :
          ( contains_slb(create_slb,X2)
         => ( pair_in_list(remove_slb(create_slb,X2),X0,X1)
            | X0 = X2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l28_co) ).

fof(f20,negated_conjecture,
    ~ ! [X0,X1] :
        ( pair_in_list(create_slb,X0,X1)
       => ! [X2] :
            ( contains_slb(create_slb,X2)
           => ( pair_in_list(remove_slb(create_slb,X2),X0,X1)
              | X0 = X2 ) ) ),
    inference(negated_conjecture,[status(cth)],[f19]) ).

fof(f32,plain,
    ? [X0,X1] :
      ( ? [X2] :
          ( ~ pair_in_list(remove_slb(create_slb,X2),X0,X1)
          & X0 != X2
          & contains_slb(create_slb,X2) )
      & pair_in_list(create_slb,X0,X1) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f33,plain,
    ? [X0,X1] :
      ( ? [X2] :
          ( ~ pair_in_list(remove_slb(create_slb,X2),X0,X1)
          & X0 != X2
          & contains_slb(create_slb,X2) )
      & pair_in_list(create_slb,X0,X1) ),
    inference(flattening,[],[f32]) ).

fof(f38,plain,
    ( ~ pair_in_list(remove_slb(create_slb,sK2),sK0,sK1)
    & sK0 != sK2
    & contains_slb(create_slb,sK2)
    & pair_in_list(create_slb,sK0,sK1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f33]) ).

fof(f46,plain,
    ! [X0] : ~ contains_slb(create_slb,X0),
    inference(cnf_transformation,[],[f8]) ).

fof(f63,plain,
    contains_slb(create_slb,sK2),
    inference(cnf_transformation,[],[f38]) ).

fof(f66,plain,
    $false,
    inference(resolution,[],[f46,f63]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV392+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20  % Computer : n009.cluster.edu
% 0.09/0.20  % Model    : x86_64 x86_64
% 0.09/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20  % Memory   : 8046.5625MB
% 0.09/0.20  % OS       : Linux 6.8.0-71-generic
% 0.09/0.20  % CPULimit : 300
% 0.09/0.20  % WCLimit  : 300
% 0.09/0.20  % DateTime : Mon Sep 28 10:48:45 UTC 2026
% 0.09/0.20  % CPUTime  : 
% 0.09/0.20  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23  Running first-order model finding
% 0.09/0.23  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
% 0.20/0.27  % (2949677)Will run a generic schedule for satisfiability detection.
% 0.20/0.27  % (2949697)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3081753359:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.27  % (2949697) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2949677-2949697"...
% 0.20/0.27  % (2949697)...printing done.
% 0.20/0.27  % (2949697)Refutation found. Thanks to Tanya!
% 0.20/0.27  % SZS status Theorem for theBenchmark
% 0.20/0.27  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.27  % (2949697)------------------------------
% 0.20/0.27  % (2949697)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.27  % (2949697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.27  % (2949697)CaDiCaL version: 2.1.3
% 0.20/0.27  % (2949697)Termination reason: Refutation
% 0.20/0.27  % (2949697)Time elapsed: 0.001 s
% 0.20/0.27  % (2949697)Peak memory usage: 11 MB
% 0.20/0.27  % (2949697)Instructions burned: 1 (million)
% 0.20/0.27  % (2949677)Success in time 0.033 s
% 0.20/0.27  % Vampire exiting
%------------------------------------------------------------------------------