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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---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 THM

% Computer : n007.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 01:00:07 PM UTC 2026

% Result   : Theorem 3.30s 1.33s
% Output   : Refutation 3.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   22 (   8 unt;   0 def)
%            Number of atoms       :   43 (   4 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   40 (  19   ~;  14   |;   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   :   38 (  38   !;   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] :
      ( ~ icext(X1,X0)
      | iext(uri_rdf_type,X0,X1) ),
    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(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(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(f25,plain,
    ! [X2,X3,X0,X1] :
      ( iext(uri_rdf_type,X2,X1)
      | ~ iext(X0,X2,X3)
      | ~ iext(uri_rdfs_domain,X0,X1) ),
    inference(resolution,[],[f14,f13]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( ~ iext(X0,uri_ex_u,X1)
      | ~ iext(uri_rdfs_domain,X0,uri_ex_Person) ),
    inference(resolution,[],[f25,f17]) ).

fof(f28,plain,
    ! [X0] : ~ iext(uri_owl_sameAs,uri_ex_u,X0),
    inference(resolution,[],[f26,f19]) ).

fof(f36,plain,
    $false,
    inference(resolution,[],[f28,f20]) ).

%------------------------------------------------------------------------------
%----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 THM
% 0.09/0.36  % Computer : n007.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Mon Sep 28 07:02:07 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.36  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.40  Running first-order theorem proving
% 0.09/0.40  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.30/1.33  % (2202488)Detected formulas, will run a generic FOF schedule.
% 3.30/1.33  % (2202497)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2606696683:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.30/1.33  % (2202497)Refutation not found, incomplete strategy
% 3.30/1.33  % (2202497)------------------------------
% 3.30/1.33  % (2202497)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.30/1.33  % (2202497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.30/1.33  % (2202497)CaDiCaL version: 2.1.3
% 3.30/1.33  % (2202497)Termination reason: Refutation not found, incomplete strategy
% 3.30/1.33  % (2202497)Time elapsed: 0.0000 s
% 3.30/1.33  % (2202497)Peak memory usage: 87 MB
% 3.30/1.33  % (2202499)dis-21_1_sil=8000:lcm=predicate:random_seed=559927943:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.30/1.33  % (2202494)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=550591622:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.30/1.33  % (2202493)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2140146163:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.30/1.33  % (2202499)First to succeed.
% 3.30/1.33  % (2202499)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2202488"
% 3.30/1.33  % (2202496)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3742814469:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.30/1.33  % (2202495)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3787811800:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.30/1.33  % (2202496)Refutation not found, incomplete strategy
% 3.30/1.33  % (2202496)------------------------------
% 3.30/1.33  % (2202496)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.30/1.33  % (2202496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.30/1.33  % (2202496)CaDiCaL version: 2.1.3
% 3.30/1.33  % (2202496)Termination reason: Refutation not found, incomplete strategy
% 3.30/1.33  % (2202496)Time elapsed: 0.0000 s
% 3.30/1.33  % (2202496)Peak memory usage: 87 MB
% 3.30/1.33  % (2202498)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1605729136:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.30/1.33  % (2202498)Also succeeded, but the first one will report.
% 3.30/1.33  % (2202497)------------------------------
% 3.30/1.33  % (2202497)------------------------------
% 3.30/1.33  % (2202507)lrs+10_1_sil=8000:sp=occurrence:random_seed=2234240085:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.30/1.33  % (2202507)Also succeeded, but the first one will report.
% 3.30/1.33  % (2202499)Refutation found. Thanks to Tanya!
% 3.30/1.33  % SZS status Theorem for theBenchmark
% 3.30/1.33  % SZS output start Proof for theBenchmark
% See solution above
% 3.30/1.33  % (2202499)------------------------------
% 3.30/1.33  % (2202499)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.30/1.33  % (2202499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.30/1.33  % (2202499)CaDiCaL version: 2.1.3
% 3.30/1.33  % (2202499)Termination reason: Refutation
% 3.30/1.33  % (2202499)Time elapsed: 0.002 s
% 3.30/1.33  % (2202499)Peak memory usage: 88 MB
% 3.30/1.33  % (2202499)Instructions burned: 1 (million)
% 3.30/1.33  % (2202499)------------------------------
% 3.30/1.33  % (2202499)------------------------------
% 3.30/1.33  % (2202488)Success in time 0.398 s
% 3.30/1.33  % Vampire exiting
%------------------------------------------------------------------------------