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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWB014+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 : n019.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 01:00:36 PM UTC 2026

% Result   : Theorem 0.23s 0.54s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   45 (  23 unt;   0 def)
%            Number of atoms       :  127 (   0 equ)
%            Maximal formula atoms :   11 (   2 avg)
%            Number of connectives :  117 (  35   ~;  53   |;  21   &)
%                                         (   7 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;  12 con; 0-0 aty)
%            Number of variables   :   58 (  53   !;   5   ?)

% 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,X4] :
      ( ( iext(uri_rdf_first,X1,X2)
        & iext(uri_rdf_rest,X1,X3)
        & iext(uri_rdf_first,X3,X4)
        & iext(uri_rdf_rest,X3,uri_rdf_nil) )
     => ( iext(uri_owl_unionOf,X0,X1)
      <=> ( ic(X0)
          & ic(X2)
          & ic(X4)
          & ! [X5] :
              ( icext(X0,X5)
            <=> ( icext(X2,X5)
                | icext(X4,X5) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_bool_unionof_class_002) ).

fof(f3,conjecture,
    ? [X0] :
      ( iext(uri_rdf_type,uri_ex_harry,X0)
      & iext(uri_rdf_type,X0,uri_ex_Species) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_014_Harry_belongs_to_some_Species) ).

fof(f4,negated_conjecture,
    ~ ? [X0] :
        ( iext(uri_rdf_type,uri_ex_harry,X0)
        & iext(uri_rdf_type,X0,uri_ex_Species) ),
    inference(negated_conjecture,[status(cth)],[f3]) ).

fof(f5,axiom,
    ? [X0,X1,X2] :
      ( iext(uri_rdf_type,uri_ex_Eagle,uri_ex_Species)
      & iext(uri_rdf_type,uri_ex_Falcon,uri_ex_Species)
      & iext(uri_rdf_type,uri_ex_harry,X0)
      & iext(uri_owl_unionOf,X0,X1)
      & iext(uri_rdf_first,X1,uri_ex_Eagle)
      & iext(uri_rdf_rest,X1,X2)
      & iext(uri_rdf_first,X2,uri_ex_Falcon)
      & iext(uri_rdf_rest,X2,uri_rdf_nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_014_Harry_belongs_to_some_Species) ).

fof(f6,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( iext(uri_owl_unionOf,X0,X1)
      <=> ( ic(X0)
          & ic(X2)
          & ic(X4)
          & ! [X5] :
              ( icext(X0,X5)
            <=> ( icext(X2,X5)
                | icext(X4,X5) ) ) ) )
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X3,X4)
      | ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f7,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( iext(uri_owl_unionOf,X0,X1)
      <=> ( ic(X0)
          & ic(X2)
          & ic(X4)
          & ! [X5] :
              ( icext(X0,X5)
            <=> ( icext(X2,X5)
                | icext(X4,X5) ) ) ) )
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X3,X4)
      | ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
    inference(flattening,[],[f6]) ).

fof(f8,plain,
    ! [X0] :
      ( ~ iext(uri_rdf_type,uri_ex_harry,X0)
      | ~ iext(uri_rdf_type,X0,uri_ex_Species) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f9,plain,
    ! [X0,X1] :
      ( ~ icext(X1,X0)
      | iext(uri_rdf_type,X0,X1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f10,plain,
    ! [X0,X1] :
      ( icext(X1,X0)
      | ~ iext(uri_rdf_type,X0,X1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f11,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X3,X4)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X1,X2)
      | icext(X4,X5)
      | icext(X2,X5)
      | ~ icext(X0,X5)
      | ~ iext(uri_owl_unionOf,X0,X1) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f20,plain,
    ! [X0] :
      ( ~ iext(uri_rdf_type,X0,uri_ex_Species)
      | ~ iext(uri_rdf_type,uri_ex_harry,X0) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f21,plain,
    iext(uri_rdf_rest,sK3,uri_rdf_nil),
    inference(cnf_transformation,[],[f5]) ).

fof(f22,plain,
    iext(uri_rdf_first,sK3,uri_ex_Falcon),
    inference(cnf_transformation,[],[f5]) ).

fof(f23,plain,
    iext(uri_rdf_rest,sK2,sK3),
    inference(cnf_transformation,[],[f5]) ).

fof(f24,plain,
    iext(uri_rdf_first,sK2,uri_ex_Eagle),
    inference(cnf_transformation,[],[f5]) ).

fof(f25,plain,
    iext(uri_owl_unionOf,sK1,sK2),
    inference(cnf_transformation,[],[f5]) ).

fof(f26,plain,
    iext(uri_rdf_type,uri_ex_harry,sK1),
    inference(cnf_transformation,[],[f5]) ).

fof(f27,plain,
    iext(uri_rdf_type,uri_ex_Falcon,uri_ex_Species),
    inference(cnf_transformation,[],[f5]) ).

fof(f28,plain,
    iext(uri_rdf_type,uri_ex_Eagle,uri_ex_Species),
    inference(cnf_transformation,[],[f5]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
      | ~ icext(X1,X0) ),
    inference(consistent_polarity_flipping,[],[f10]) ).

fof(f30,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdf_type,X0,X1)
      | icext(X1,X0) ),
    inference(consistent_polarity_flipping,[],[f9]) ).

fof(f39,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ icext(X2,X5)
      | iext(uri_rdf_first,X3,X4)
      | iext(uri_rdf_rest,X1,X3)
      | iext(uri_rdf_first,X1,X2)
      | ~ icext(X4,X5)
      | iext(uri_rdf_rest,X3,uri_rdf_nil)
      | icext(X0,X5)
      | iext(uri_owl_unionOf,X0,X1) ),
    inference(consistent_polarity_flipping,[],[f11]) ).

fof(f40,plain,
    ! [X0] :
      ( iext(uri_rdf_type,X0,uri_ex_Species)
      | iext(uri_rdf_type,uri_ex_harry,X0) ),
    inference(consistent_polarity_flipping,[],[f20]) ).

fof(f41,plain,
    ~ iext(uri_rdf_type,uri_ex_Eagle,uri_ex_Species),
    inference(consistent_polarity_flipping,[],[f28]) ).

fof(f42,plain,
    ~ iext(uri_rdf_type,uri_ex_Falcon,uri_ex_Species),
    inference(consistent_polarity_flipping,[],[f27]) ).

fof(f43,plain,
    ~ iext(uri_rdf_type,uri_ex_harry,sK1),
    inference(consistent_polarity_flipping,[],[f26]) ).

fof(f44,plain,
    ~ iext(uri_owl_unionOf,sK1,sK2),
    inference(consistent_polarity_flipping,[],[f25]) ).

fof(f45,plain,
    ~ iext(uri_rdf_first,sK2,uri_ex_Eagle),
    inference(consistent_polarity_flipping,[],[f24]) ).

fof(f46,plain,
    ~ iext(uri_rdf_rest,sK2,sK3),
    inference(consistent_polarity_flipping,[],[f23]) ).

fof(f47,plain,
    ~ iext(uri_rdf_first,sK3,uri_ex_Falcon),
    inference(consistent_polarity_flipping,[],[f22]) ).

fof(f48,plain,
    ~ iext(uri_rdf_rest,sK3,uri_rdf_nil),
    inference(consistent_polarity_flipping,[],[f21]) ).

fof(f49,plain,
    iext(uri_rdf_type,uri_ex_harry,uri_ex_Eagle),
    inference(resolution,[],[f41,f40]) ).

fof(f50,plain,
    iext(uri_rdf_type,uri_ex_harry,uri_ex_Falcon),
    inference(resolution,[],[f42,f40]) ).

fof(f53,plain,
    ~ icext(sK1,uri_ex_harry),
    inference(resolution,[],[f29,f43]) ).

fof(f57,plain,
    icext(uri_ex_Eagle,uri_ex_harry),
    inference(resolution,[],[f30,f49]) ).

fof(f58,plain,
    icext(uri_ex_Falcon,uri_ex_harry),
    inference(resolution,[],[f30,f50]) ).

fof(f82,plain,
    ! [X2,X3,X0,X1] :
      ( ~ icext(X1,uri_ex_harry)
      | iext(uri_rdf_rest,X2,X0)
      | iext(uri_rdf_first,X2,uri_ex_Eagle)
      | iext(uri_rdf_first,X0,X1)
      | iext(uri_rdf_rest,X0,uri_rdf_nil)
      | icext(X3,uri_ex_harry)
      | iext(uri_owl_unionOf,X3,X2) ),
    inference(resolution,[],[f39,f57]) ).

fof(f243,plain,
    ! [X2,X0,X1] :
      ( iext(uri_rdf_rest,X0,X1)
      | iext(uri_rdf_rest,X1,uri_rdf_nil)
      | iext(uri_owl_unionOf,X2,X0)
      | iext(uri_rdf_first,X0,uri_ex_Eagle)
      | icext(X2,uri_ex_harry)
      | iext(uri_rdf_first,X1,uri_ex_Falcon) ),
    inference(resolution,[],[f82,f58]) ).

fof(f374,plain,
    ! [X0] :
      ( iext(uri_rdf_rest,sK2,X0)
      | iext(uri_rdf_rest,X0,uri_rdf_nil)
      | iext(uri_rdf_first,sK2,uri_ex_Eagle)
      | icext(sK1,uri_ex_harry)
      | iext(uri_rdf_first,X0,uri_ex_Falcon) ),
    inference(resolution,[],[f243,f44]) ).

fof(f377,plain,
    ! [X0] :
      ( iext(uri_rdf_rest,sK2,X0)
      | iext(uri_rdf_rest,X0,uri_rdf_nil)
      | icext(sK1,uri_ex_harry)
      | iext(uri_rdf_first,X0,uri_ex_Falcon) ),
    inference(forward_subsumption_resolution,[],[f374,f45]) ).

fof(f378,plain,
    ! [X0] :
      ( iext(uri_rdf_rest,sK2,X0)
      | iext(uri_rdf_rest,X0,uri_rdf_nil)
      | iext(uri_rdf_first,X0,uri_ex_Falcon) ),
    inference(forward_subsumption_resolution,[],[f377,f53]) ).

fof(f385,plain,
    ( iext(uri_rdf_rest,sK2,sK3)
    | iext(uri_rdf_first,sK3,uri_ex_Falcon) ),
    inference(resolution,[],[f378,f48]) ).

fof(f386,plain,
    iext(uri_rdf_first,sK3,uri_ex_Falcon),
    inference(forward_subsumption_resolution,[],[f385,f46]) ).

fof(f387,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f386,f47]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB014+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.17/0.43  % Computer : n019.cluster.edu
% 0.17/0.43  % Model    : x86_64 x86_64
% 0.17/0.43  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43  % Memory   : 8046.5625MB
% 0.17/0.43  % OS       : Linux 6.8.0-71-generic
% 0.17/0.43  % CPULimit : 300
% 0.17/0.43  % WCLimit  : 300
% 0.17/0.43  % DateTime : Mon Sep 28 06:59:33 UTC 2026
% 0.17/0.43  % CPUTime  : 
% 0.17/0.43  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.23/0.48  Running first-order model finding
% 0.23/0.48  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
% 0.23/0.54  % (3814714)Will run a generic schedule for satisfiability detection.
% 0.23/0.54  % (3814720)% WARNING: option uhcvi not known.
% 0.23/0.54  % (3814720)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=713161150:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.23/0.54  % (3814724)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2425786845:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.23/0.54  % (3814723)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2229586198:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.23/0.54  % (3814721)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2073071432:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.23/0.54  % (3814719)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=977628587_2999 on theBenchmark for (2999ds/0Mi)
% 0.23/0.54  % (3814722)dis+10_1_sil=32000:sp=arity:random_seed=3338271259:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.23/0.54  % (3814725)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1525655828:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.23/0.54  % (3814720) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3814714-3814720"...
% 0.23/0.54  % (3814724) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3814714-3814724"...
% 0.23/0.54  % TRYING [1]
% 0.23/0.54  % TRYING [2]
% 0.23/0.54  % (3814720)...printing done.
% 0.23/0.54  % (3814720)Refutation found. Thanks to Tanya!
% 0.23/0.54  % SZS status Theorem for theBenchmark
% 0.23/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.54  % (3814720)------------------------------
% 0.23/0.54  % (3814720)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.54  % (3814720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.54  % (3814720)CaDiCaL version: 2.1.3
% 0.23/0.54  % (3814720)Termination reason: Refutation
% 0.23/0.54  % (3814720)Time elapsed: 0.016 s
% 0.23/0.54  % (3814720)Peak memory usage: 11 MB
% 0.23/0.54  % (3814720)Instructions burned: 32 (million)
% 0.23/0.54  % (3814714)Success in time 0.041 s
% 0.23/0.54  % Vampire exiting
%------------------------------------------------------------------------------