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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWV410+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 : n002.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 01:21:11 PM UTC 2026

% Result   : Theorem 0.09s 0.26s
% Output   : Refutation 0.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    8 (   4 unt;   0 def)
%            Number of atoms       :   12 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    9 (   5   ~;   0   |;   2   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    9 (   6   !;   3   ?)

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

fof(f19,conjecture,
    ! [X0] :
      ( contains_slb(create_slb,X0)
     => ? [X1] : pair_in_list(create_slb,X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l46_co) ).

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

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

fof(f37,plain,
    ( ! [X1] : ~ pair_in_list(create_slb,sK0,X1)
    & contains_slb(create_slb,sK0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f32]) ).

fof(f45,plain,
    ! [X0] : ~ contains_slb(create_slb,X0),
    inference(cnf_transformation,[],[f8]) ).

fof(f61,plain,
    contains_slb(create_slb,sK0),
    inference(cnf_transformation,[],[f37]) ).

fof(f66,plain,
    $false,
    inference(resolution,[],[f45,f61]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV410+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19  % Computer : n002.cluster.edu
% 0.09/0.19  % Model    : x86_64 x86_64
% 0.09/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19  % Memory   : 8046.5625MB
% 0.09/0.19  % OS       : Linux 6.8.0-71-generic
% 0.09/0.19  % CPULimit : 300
% 0.09/0.19  % WCLimit  : 300
% 0.09/0.19  % DateTime : Mon Sep 28 10:53:52 UTC 2026
% 0.09/0.19  % CPUTime  : 
% 0.09/0.19  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22  Running first-order model finding
% 0.09/0.22  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
% 0.09/0.26  % (277748)Will run a generic schedule for satisfiability detection.
% 0.09/0.26  % (277756)dis+10_1_sil=32000:sp=arity:random_seed=2437063342:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.26  % (277756) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-277748-277756"...
% 0.09/0.26  % (277756)...printing done.
% 0.09/0.26  % (277756)Refutation found. Thanks to Tanya!
% 0.09/0.26  % SZS status Theorem for theBenchmark
% 0.09/0.26  % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.26  % (277756)------------------------------
% 0.09/0.26  % (277756)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.26  % (277756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.26  % (277756)CaDiCaL version: 2.1.3
% 0.09/0.26  % (277756)Termination reason: Refutation
% 0.09/0.26  % (277756)Time elapsed: 0.001 s
% 0.09/0.26  % (277756)Peak memory usage: 11 MB
% 0.09/0.26  % (277756)Instructions burned: 1 (million)
% 0.09/0.26  % (277748)Success in time 0.025 s
% 0.09/0.26  % Vampire exiting
%------------------------------------------------------------------------------