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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : CSR067+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n001.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 09:44:52 AM UTC 2026

% Result   : Theorem 0.35s 0.44s
% Output   : Refutation 0.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   14 (   5 unt;   0 def)
%            Number of atoms       :   23 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   17 (   8   ~;   4   |;   1   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   11 (   9   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ( mtvisible(c_tptpgeo_member7_mt)
   => borderson(c_georegion_l4_x29_y75,c_georegion_l4_x29_y76) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just1) ).

fof(f28,axiom,
    ! [X0,X1] :
      ( borderson(X0,X1)
     => borderson(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just28) ).

fof(f30,conjecture,
    ? [X0] :
      ( mtvisible(c_tptpgeo_member7_mt)
     => borderson(X0,c_georegion_l4_x29_y75) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query67) ).

fof(f31,negated_conjecture,
    ~ ? [X0] :
        ( mtvisible(c_tptpgeo_member7_mt)
       => borderson(X0,c_georegion_l4_x29_y75) ),
    inference(negated_conjecture,[status(cth)],[f30]) ).

fof(f46,plain,
    ( borderson(c_georegion_l4_x29_y75,c_georegion_l4_x29_y76)
    | ~ mtvisible(c_tptpgeo_member7_mt) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( borderson(X1,X0)
      | ~ borderson(X0,X1) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f63,plain,
    ! [X0] :
      ( ~ borderson(X0,c_georegion_l4_x29_y75)
      & mtvisible(c_tptpgeo_member7_mt) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f64,plain,
    ( ~ mtvisible(c_tptpgeo_member7_mt)
    | borderson(c_georegion_l4_x29_y75,c_georegion_l4_x29_y76) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f77,plain,
    ! [X0,X1] :
      ( ~ borderson(X0,X1)
      | borderson(X1,X0) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f79,plain,
    mtvisible(c_tptpgeo_member7_mt),
    inference(cnf_transformation,[],[f63]) ).

fof(f80,plain,
    ! [X0] : ~ borderson(X0,c_georegion_l4_x29_y75),
    inference(cnf_transformation,[],[f63]) ).

fof(f81,plain,
    borderson(c_georegion_l4_x29_y75,c_georegion_l4_x29_y76),
    inference(forward_subsumption_resolution,[],[f64,f79]) ).

fof(f83,plain,
    ! [X0] : ~ borderson(c_georegion_l4_x29_y75,X0),
    inference(resolution,[],[f77,f80]) ).

fof(f85,plain,
    $false,
    inference(resolution,[],[f83,f81]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : CSR067+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.10  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.25/0.32  % Computer : n001.cluster.edu
% 0.25/0.32  % Model    : x86_64 x86_64
% 0.25/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.25/0.32  % Memory   : 8046.5625MB
% 0.25/0.32  % OS       : Linux 6.8.0-71-generic
% 0.25/0.32  % CPULimit : 300
% 0.25/0.32  % WCLimit  : 300
% 0.25/0.32  % DateTime : Mon Sep 28 22:28:49 UTC 2026
% 0.25/0.33  % CPUTime  : 
% 0.25/0.33  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.25/0.38  Running first-order model finding
% 0.25/0.38  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
% 0.35/0.44  % (820289)Will run a generic schedule for satisfiability detection.
% 0.35/0.44  % (820298)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2911134202:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.35/0.44  % (820298) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-820289-820298"...
% 0.35/0.44  % (820298)...printing done.
% 0.35/0.44  % (820298)Refutation found. Thanks to Tanya!
% 0.35/0.44  % SZS status Theorem for theBenchmark
% 0.35/0.44  % SZS output start Proof for theBenchmark
% See solution above
% 0.35/0.44  % (820298)------------------------------
% 0.35/0.44  % (820298)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/0.44  % (820298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.44  % (820298)CaDiCaL version: 2.1.3
% 0.35/0.44  % (820298)Termination reason: Refutation
% 0.35/0.44  % (820298)Time elapsed: 0.002 s
% 0.35/0.44  % (820298)Peak memory usage: 12 MB
% 0.35/0.44  % (820298)Instructions burned: 1 (million)
% 0.35/0.44  % (820289)Success in time 0.042 s
% 0.35/0.44  % Vampire exiting
%------------------------------------------------------------------------------