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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWB007+2 : TPTP v9.3.1. Released v5.2.0.
% 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 01:00:31 PM UTC 2026

% Result   : Theorem 0.11s 0.43s
% Output   : Refutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   30 (  16 unt;   3 def)
%            Number of atoms       :   52 (   3 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   37 (  15   ~;  11   |;   7   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   4 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   9 con; 0-0 aty)
%            Number of variables   :    4 (   0 sgn   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] :
      ( iext(uri_owl_sameAs,X0,X1)
    <=> X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_sameas) ).

fof(f2,conjecture,
    ( iext(uri_rdf_type,uri_ex_w,uri_ex_c2)
    & iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2)
    & iext(uri_rdfs_range,uri_ex_p,uri_ex_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_007_Equal_Classes) ).

fof(f3,negated_conjecture,
    ~ ( iext(uri_rdf_type,uri_ex_w,uri_ex_c2)
      & iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2)
      & iext(uri_rdfs_range,uri_ex_p,uri_ex_c2) ),
    inference(negated_conjecture,[status(cth)],[f2]) ).

fof(f4,axiom,
    ( iext(uri_owl_sameAs,uri_ex_c1,uri_ex_c2)
    & iext(uri_rdf_type,uri_ex_w,uri_ex_c1)
    & iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c1)
    & iext(uri_rdfs_range,uri_ex_p,uri_ex_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_007_Equal_Classes) ).

fof(f5,plain,
    ( ~ iext(uri_rdf_type,uri_ex_w,uri_ex_c2)
    | ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2)
    | ~ iext(uri_rdfs_range,uri_ex_p,uri_ex_c2) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f7,plain,
    ! [X0,X1] :
      ( ~ iext(uri_owl_sameAs,X0,X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f1]) ).

fof(f8,plain,
    ( ~ iext(uri_rdfs_range,uri_ex_p,uri_ex_c2)
    | ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2)
    | ~ iext(uri_rdf_type,uri_ex_w,uri_ex_c2) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f9,plain,
    iext(uri_rdfs_range,uri_ex_p,uri_ex_c1),
    inference(cnf_transformation,[],[f4]) ).

fof(f10,plain,
    iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c1),
    inference(cnf_transformation,[],[f4]) ).

fof(f11,plain,
    iext(uri_rdf_type,uri_ex_w,uri_ex_c1),
    inference(cnf_transformation,[],[f4]) ).

fof(f12,plain,
    iext(uri_owl_sameAs,uri_ex_c1,uri_ex_c2),
    inference(cnf_transformation,[],[f4]) ).

fof(f15,definition,
    ( spl0_1
  <=> iext(uri_rdf_type,uri_ex_w,uri_ex_c2) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f17,plain,
    ( ~ iext(uri_rdf_type,uri_ex_w,uri_ex_c2)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f15]) ).

fof(f19,definition,
    ( spl0_2
  <=> iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f23,definition,
    ( spl0_3
  <=> iext(uri_rdfs_range,uri_ex_p,uri_ex_c2) ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f26,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f8,f23,f19,f15]) ).

fof(f27,plain,
    uri_ex_c2 = uri_ex_c1,
    inference(resolution,[],[f7,f12]) ).

fof(f30,plain,
    iext(uri_rdf_type,uri_ex_w,uri_ex_c2),
    inference(superposition,[],[f11,f27]) ).

fof(f31,plain,
    iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2),
    inference(superposition,[],[f10,f27]) ).

fof(f32,plain,
    iext(uri_rdfs_range,uri_ex_p,uri_ex_c2),
    inference(superposition,[],[f9,f27]) ).

fof(f33,plain,
    spl0_3,
    inference(avatar_split_clause,[],[f32,f23]) ).

fof(f34,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f31,f19]) ).

fof(f35,plain,
    ( $false
    | spl0_1 ),
    inference(forward_subsumption_resolution,[],[f30,f17]) ).

fof(f36,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f35]) ).

cnf(s1,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(sat_conversion,[],[f26]) ).

cnf(s2,plain,
    spl0_3,
    inference(sat_conversion,[],[f33]) ).

cnf(s3,plain,
    spl0_2,
    inference(sat_conversion,[],[f34]) ).

cnf(s4,plain,
    spl0_1,
    inference(sat_conversion,[],[f36]) ).

cnf(s5,plain,
    $false,
    inference(rat,[],[s1,s2,s3,s4]) ).

fof(f37,plain,
    $false,
    inference(avatar_sat_refutation,[],[s5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWB007+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.36  % Computer : n001.cluster.edu
% 0.11/0.36  % Model    : x86_64 x86_64
% 0.11/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36  % Memory   : 8046.5625MB
% 0.11/0.36  % OS       : Linux 6.8.0-71-generic
% 0.11/0.36  % CPULimit : 300
% 0.11/0.36  % WCLimit  : 300
% 0.11/0.36  % DateTime : Mon Sep 28 07:01:18 UTC 2026
% 0.11/0.36  % CPUTime  : 
% 0.11/0.36  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40  Running first-order model finding
% 0.11/0.40  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
% 0.11/0.43  % (172758)Will run a generic schedule for satisfiability detection.
% 0.11/0.43  % (172767)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1351482093:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.43  % (172767) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-172758-172767"...
% 0.11/0.43  % (172767)...printing done.
% 0.11/0.43  % (172767)Refutation found. Thanks to Tanya!
% 0.11/0.43  % SZS status Theorem for theBenchmark
% 0.11/0.43  % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.44  % (172767)------------------------------
% 0.11/0.44  % (172767)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.44  % (172767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.44  % (172767)CaDiCaL version: 2.1.3
% 0.11/0.44  % (172767)Termination reason: Refutation
% 0.11/0.44  % (172767)Time elapsed: 0.001 s
% 0.11/0.44  % (172767)Peak memory usage: 12 MB
% 0.11/0.44  % (172767)Instructions burned: 1 (million)
% 0.11/0.44  % (172758)Success in time 0.029 s
% 0.11/0.44  % Vampire exiting
%------------------------------------------------------------------------------