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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWB001+3 : 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 : 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 12:59:56 PM UTC 2026

% Result   : Theorem 2.42s 1.10s
% Output   : Refutation 2.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   19 (   8 unt;   2 def)
%            Number of atoms       :   32 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   23 (  10   ~;   6   |;   5   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   3 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   9 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f139,conjecture,
    ( iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction)
    & iext(uri_owl_onProperty,uri_ex_r,uri_ex_p) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_001_Subgraph_Entailment) ).

fof(f140,negated_conjecture,
    ~ ( iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction)
      & iext(uri_owl_onProperty,uri_ex_r,uri_ex_p) ),
    inference(negated_conjecture,[status(cth)],[f139]) ).

fof(f141,axiom,
    ( iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_r)
    & iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction)
    & iext(uri_owl_onProperty,uri_ex_r,uri_ex_p)
    & iext(uri_owl_someValuesFrom,uri_ex_r,uri_ex_d) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_001_Subgraph_Entailment) ).

fof(f211,plain,
    ( ~ iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction)
    | ~ iext(uri_owl_onProperty,uri_ex_r,uri_ex_p) ),
    inference(ennf_transformation,[],[f140]) ).

fof(f554,plain,
    ( ~ iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction)
    | ~ iext(uri_owl_onProperty,uri_ex_r,uri_ex_p) ),
    inference(cnf_transformation,[],[f211]) ).

fof(f556,plain,
    iext(uri_owl_onProperty,uri_ex_r,uri_ex_p),
    inference(cnf_transformation,[],[f141]) ).

fof(f557,plain,
    iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction),
    inference(cnf_transformation,[],[f141]) ).

fof(f560,definition,
    ( spl26_1
  <=> iext(uri_owl_onProperty,uri_ex_r,uri_ex_p) ),
    introduced(definition,[new_symbols(definition,[spl26_1])],[avatar_definition]) ).

fof(f564,definition,
    ( spl26_2
  <=> iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction) ),
    introduced(definition,[new_symbols(definition,[spl26_2])],[avatar_definition]) ).

fof(f566,plain,
    ( ~ iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction)
    | spl26_2 ),
    inference(avatar_component_clause,[],[f564]) ).

fof(f567,plain,
    ( ~ spl26_1
    | ~ spl26_2 ),
    inference(avatar_split_clause,[],[f554,f564,f560]) ).

fof(f570,plain,
    spl26_1,
    inference(avatar_split_clause,[],[f556,f560]) ).

fof(f571,plain,
    ( $false
    | spl26_2 ),
    inference(forward_subsumption_resolution,[],[f557,f566]) ).

fof(f572,plain,
    spl26_2,
    inference(avatar_contradiction_clause,[],[f571]) ).

cnf(s1,plain,
    ( ~ spl26_1
    | ~ spl26_2 ),
    inference(sat_conversion,[],[f567]) ).

cnf(s3,plain,
    spl26_1,
    inference(sat_conversion,[],[f570]) ).

cnf(s4,plain,
    spl26_2,
    inference(sat_conversion,[],[f572]) ).

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

fof(f573,plain,
    $false,
    inference(avatar_sat_refutation,[],[s5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWB001+3 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37  % Computer : n019.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.38  % WCLimit  : 300
% 0.10/0.38  % DateTime : Mon Sep 28 06:53:49 UTC 2026
% 0.14/0.38  % CPUTime  : 
% 0.14/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.41  Running first-order theorem proving
% 0.14/0.41  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
% 2.42/1.10  % (3812607)Detected formulas, will run a generic FOF schedule.
% 2.42/1.10  % (3812617)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2276527719:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.42/1.10  % (3812617)First to succeed.
% 2.42/1.10  % (3812617)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3812607"
% 2.42/1.10  % (3812614)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=2358103803:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.42/1.10  % (3812612)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=2709340195:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.42/1.10  % (3812615)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=453480777:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.42/1.10  % (3812613)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=446713585:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.42/1.10  % (3812616)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2577664910:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.42/1.10  % (3812618)dis-21_1_sil=8000:lcm=predicate:random_seed=3039492147: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)
% 2.42/1.10  % (3812615)Refutation not found, incomplete strategy
% 2.42/1.10  % (3812615)------------------------------
% 2.42/1.10  % (3812615)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.42/1.10  % (3812615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.42/1.10  % (3812615)CaDiCaL version: 2.1.3
% 2.42/1.10  % (3812615)Termination reason: Refutation not found, incomplete strategy
% 2.42/1.10  % (3812615)Time elapsed: 0.001 s
% 2.42/1.10  % (3812615)Peak memory usage: 87 MB
% 2.42/1.10  % (3812618)Also succeeded, but the first one will report.
% 2.42/1.10  % (3812616)Refutation not found, incomplete strategy
% 2.42/1.10  % (3812616)------------------------------
% 2.42/1.10  % (3812616)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.42/1.10  % (3812616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.42/1.10  % (3812616)CaDiCaL version: 2.1.3
% 2.42/1.10  % (3812616)Termination reason: Refutation not found, incomplete strategy
% 2.42/1.10  % (3812616)Time elapsed: 0.005 s
% 2.42/1.10  % (3812616)Peak memory usage: 88 MB
% 2.42/1.10  % (3812616)Instructions burned: 6 (million)
% 2.42/1.10  % (3812617)Refutation found. Thanks to Tanya!
% 2.42/1.10  % SZS status Theorem for theBenchmark
% 2.42/1.10  % SZS output start Proof for theBenchmark
% See solution above
% 2.42/1.10  % (3812617)------------------------------
% 2.42/1.10  % (3812617)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.42/1.10  % (3812617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.42/1.10  % (3812617)CaDiCaL version: 2.1.3
% 2.42/1.10  % (3812617)Termination reason: Refutation
% 2.42/1.10  % (3812617)Time elapsed: 0.003 s
% 2.42/1.10  % (3812617)Peak memory usage: 90 MB
% 2.42/1.10  % (3812617)Instructions burned: 7 (million)
% 2.42/1.10  % (3812617)------------------------------
% 2.42/1.10  % (3812617)------------------------------
% 2.42/1.10  % (3812607)Success in time 0.29 s
% 2.42/1.10  % Vampire exiting
%------------------------------------------------------------------------------