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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWB018+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n005.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 01:00:38 PM UTC 2026

% Result   : Theorem 0.16s 0.46s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   21 (   8 unt;   0 def)
%            Number of atoms       :   40 (   5 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   34 (  15   ~;  12   |;   3   &)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :   33 (  33   !;   0   ?)

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

fof(f2,axiom,
    ! [X0,X1,X2,X3] :
      ( ( iext(uri_rdfs_domain,X0,X1)
        & iext(X0,X2,X3) )
     => icext(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_domain_main) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( iext(uri_owl_sameAs,X0,X1)
    <=> X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_sameas) ).

fof(f4,conjecture,
    iext(uri_rdf_type,uri_ex_u,uri_ex_Person),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_018_Modified_Logical_Vocabulary_Semantics) ).

fof(f5,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_u,uri_ex_Person),
    inference(negated_conjecture,[status(cth)],[f4]) ).

fof(f6,axiom,
    ( iext(uri_rdfs_domain,uri_owl_sameAs,uri_ex_Person)
    & iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_018_Modified_Logical_Vocabulary_Semantics) ).

fof(f7,plain,
    ~ iext(uri_rdf_type,uri_ex_u,uri_ex_Person),
    inference(flattening,[],[f5]) ).

fof(f8,plain,
    ! [X0,X1] :
      ( icext(X1,X0)
     => iext(uri_rdf_type,X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f1]) ).

fof(f9,plain,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
      | ~ icext(X1,X0) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f10,plain,
    ! [X0,X1,X2,X3] :
      ( icext(X1,X2)
      | ~ iext(uri_rdfs_domain,X0,X1)
      | ~ iext(X0,X2,X3) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f11,plain,
    ! [X0,X1,X2,X3] :
      ( icext(X1,X2)
      | ~ iext(uri_rdfs_domain,X0,X1)
      | ~ iext(X0,X2,X3) ),
    inference(flattening,[],[f10]) ).

fof(f12,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_sameAs,X0,X1)
        | X0 != X1 )
      & ( X0 = X1
        | ~ iext(uri_owl_sameAs,X0,X1) ) ),
    inference(nnf_transformation,[],[f3]) ).

fof(f13,plain,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
      | ~ icext(X1,X0) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f14,plain,
    ! [X2,X3,X0,X1] :
      ( icext(X1,X2)
      | ~ iext(uri_rdfs_domain,X0,X1)
      | ~ iext(X0,X2,X3) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f15,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ iext(uri_owl_sameAs,X0,X1) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f16,plain,
    ! [X0,X1] :
      ( iext(uri_owl_sameAs,X0,X1)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f12]) ).

fof(f17,plain,
    ~ iext(uri_rdf_type,uri_ex_u,uri_ex_Person),
    inference(cnf_transformation,[],[f7]) ).

fof(f18,plain,
    iext(uri_owl_sameAs,uri_ex_w,uri_ex_u),
    inference(cnf_transformation,[],[f6]) ).

fof(f19,plain,
    iext(uri_rdfs_domain,uri_owl_sameAs,uri_ex_Person),
    inference(cnf_transformation,[],[f6]) ).

fof(f20,plain,
    ! [X1] : iext(uri_owl_sameAs,X1,X1),
    inference(equality_resolution,[],[f16]) ).

fof(f32,plain,
    $false,
    inference(finite_model_not_found_(exhaustively_excluded_all_possible_domain_size_assignments),[],[f13,f14,f20,f15,f17,f19,f18]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWB018+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38  % Computer : n005.cluster.edu
% 0.10/0.38  % Model    : x86_64 x86_64
% 0.10/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38  % Memory   : 8046.5625MB
% 0.10/0.38  % OS       : Linux 6.8.0-71-generic
% 0.10/0.38  % CPULimit : 300
% 0.10/0.38  % WCLimit  : 300
% 0.10/0.38  % DateTime : Mon Sep 28 07:03:38 UTC 2026
% 0.10/0.38  % CPUTime  : 
% 0.10/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41  Running first-order model finding
% 0.10/0.41  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.46  % (606860)Will run a generic schedule for satisfiability detection.
% 0.16/0.46  % (606865)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=509624364_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.46  % Detected minimum model sizes of [1]
% 0.16/0.46  % Detected maximum model sizes of [6]
% 0.16/0.46  % TRYING [1]
% 0.16/0.46  % TRYING [2]
% 0.16/0.46  % TRYING [3]
% 0.16/0.46  % TRYING [4]
% 0.16/0.46  % TRYING [5]
% 0.16/0.46  % TRYING [6]
% 0.16/0.46  % (606866)% WARNING: option uhcvi not known.
% 0.16/0.46  % (606865) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-606860-606865"...
% 0.16/0.46  % (606865)...printing done.
% 0.16/0.46  % (606865)Refutation found. Thanks to Tanya!
% 0.16/0.46  % SZS status Theorem for theBenchmark
% 0.16/0.46  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.46  % (606865)------------------------------
% 0.16/0.46  % (606865)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.46  % (606865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.46  % (606865)CaDiCaL version: 2.1.3
% 0.16/0.46  % (606865)Termination reason: Refutation
% 0.16/0.46  % (606865)Time elapsed: 0.004 s
% 0.16/0.46  % (606865)Peak memory usage: 11 MB
% 0.16/0.46  % (606865)Instructions burned: 14 (million)
% 0.16/0.46  % (606860)Success in time 0.039 s
% 0.16/0.46  % Vampire exiting
%------------------------------------------------------------------------------