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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SET043+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n026.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 12:42:47 PM UTC 2026

% Result   : Theorem 0.13s 10.69s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   10 (   3 unt;   0 def)
%            Number of atoms       :   17 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   18 (  11   ~;   4   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   10 (   7   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ? [X0] :
      ! [X1] :
        ( element(X1,X0)
      <=> ~ element(X1,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel39) ).

fof(f2,negated_conjecture,
    ~ ~ ? [X0] :
        ! [X1] :
          ( element(X1,X0)
        <=> ~ element(X1,X1) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ? [X0] :
    ! [X1] :
      ( element(X1,X0)
    <=> ~ element(X1,X1) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ! [X1] :
      ( element(X1,X1)
      | element(X1,sK0) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f5,plain,
    ! [X1] :
      ( ~ element(X1,X1)
      | ~ element(X1,sK0) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f6,plain,
    ! [X1] :
      ( element(X1,X1)
      | element(X1,sK0) ),
    inference(consistent_polarity_flipping,[],[f5]) ).

fof(f7,plain,
    ! [X1] :
      ( ~ element(X1,sK0)
      | ~ element(X1,X1) ),
    inference(consistent_polarity_flipping,[],[f4]) ).

fof(f8,plain,
    element(sK0,sK0),
    inference(factoring,[],[f6]) ).

fof(f10,plain,
    ~ element(sK0,sK0),
    inference(resolution,[],[f8,f7]) ).

fof(f11,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f10,f8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET043+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/10.62  % Computer : n026.cluster.edu
% 0.13/10.62  % Model    : x86_64 x86_64
% 0.13/10.62  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/10.62  % Memory   : 8046.5625MB
% 0.13/10.62  % OS       : Linux 6.8.0-71-generic
% 0.13/10.62  % CPULimit : 300
% 0.13/10.62  % WCLimit  : 300
% 0.13/10.62  % DateTime : Mon Sep 28 00:23:54 UTC 2026
% 0.13/10.62  % CPUTime  : 
% 0.13/10.62  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/10.65  Running first-order model finding
% 0.13/10.65  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
% 0.13/10.69  % (3360816)Will run a generic schedule for satisfiability detection.
% 0.13/10.69  % (3360822)% WARNING: option uhcvi not known.
% 0.13/10.69  % (3360822)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3066319232:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.13/10.69  % (3360822) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3360816-3360822"...
% 0.13/10.69  % (3360822)...printing done.
% 0.13/10.69  % (3360822)Refutation found. Thanks to Tanya!
% 0.13/10.69  % SZS status Theorem for theBenchmark
% 0.13/10.69  % SZS output start Proof for theBenchmark
% See solution above
% 0.13/10.69  % (3360822)------------------------------
% 0.13/10.69  % (3360822)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.13/10.69  % (3360822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.13/10.69  % (3360822)CaDiCaL version: 2.1.3
% 0.13/10.69  % (3360822)Termination reason: Refutation
% 0.13/10.69  % (3360822)Time elapsed: 0.001 s
% 0.13/10.69  % (3360822)Peak memory usage: 11 MB
% 0.13/10.69  % (3360816)Success in time 0.022 s
% 0.13/10.69  % Vampire exiting
%------------------------------------------------------------------------------