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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWB005+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n016.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 12:59:58 PM UTC 2026

% Result   : Theorem 1.74s 1.16s
% Output   : Refutation 2.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   47 (  10 unt;   0 def)
%            Number of atoms       :  158 (   0 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  216 ( 105   ~;  86   |;  19   &)
%                                         (   5 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   8 con; 0-0 aty)
%            Number of variables   :   32 (  32   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0] : ir(X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',simple_ir) ).

fof(f2,axiom,
    ! [X0,X1,X2] :
      ( iext(X1,X0,X2)
     => ip(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',simple_iext_property) ).

fof(f3,axiom,
    ! [X0] :
      ( iext(uri_rdf_type,X0,uri_rdf_Property)
    <=> ip(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdf_type_ip) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
    <=> icext(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).

fof(f5,axiom,
    ! [X0] :
      ( ir(X0)
    <=> icext(uri_rdfs_Resource,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_ir_def) ).

fof(f6,axiom,
    ! [X0] :
      ( icext(uri_owl_Thing,X0)
    <=> ir(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_thing_ext) ).

fof(f7,axiom,
    ! [X0] :
      ( icext(uri_owl_ObjectProperty,X0)
    <=> ip(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_objectproperty_ext) ).

fof(f8,conjecture,
    ( iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
    & iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
    & iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
    & iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
    & iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
    & iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
    & iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
    & iext(uri_rdf_type,uri_ex_o,uri_owl_Thing) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_005_Everything_is_a_Resource) ).

fof(f9,negated_conjecture,
    ~ ( iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
      & iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
      & iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
      & iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
      & iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
      & iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
      & iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
      & iext(uri_rdf_type,uri_ex_o,uri_owl_Thing) ),
    inference(negated_conjecture,[status(cth)],[f8]) ).

fof(f10,axiom,
    iext(uri_ex_p,uri_ex_s,uri_ex_o),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_005_Everything_is_a_Resource) ).

fof(f11,plain,
    ( ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
    | ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f12,plain,
    ! [X0,X1,X2] :
      ( ip(X1)
      | ~ iext(X1,X0,X2) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f13,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdf_type,X0,X1)
        | ~ icext(X1,X0) )
      & ( icext(X1,X0)
        | ~ iext(uri_rdf_type,X0,X1) ) ),
    inference(nnf_transformation,[],[f4]) ).

fof(f14,plain,
    ! [X0] :
      ( ( iext(uri_rdf_type,X0,uri_rdf_Property)
        | ~ ip(X0) )
      & ( ip(X0)
        | ~ iext(uri_rdf_type,X0,uri_rdf_Property) ) ),
    inference(nnf_transformation,[],[f3]) ).

fof(f15,plain,
    ! [X0] :
      ( ( ir(X0)
        | ~ icext(uri_rdfs_Resource,X0) )
      & ( icext(uri_rdfs_Resource,X0)
        | ~ ir(X0) ) ),
    inference(nnf_transformation,[],[f5]) ).

fof(f16,plain,
    ! [X0] :
      ( ( icext(uri_owl_Thing,X0)
        | ~ ir(X0) )
      & ( ir(X0)
        | ~ icext(uri_owl_Thing,X0) ) ),
    inference(nnf_transformation,[],[f6]) ).

fof(f17,plain,
    ! [X0] :
      ( ( icext(uri_owl_ObjectProperty,X0)
        | ~ ip(X0) )
      & ( ip(X0)
        | ~ icext(uri_owl_ObjectProperty,X0) ) ),
    inference(nnf_transformation,[],[f7]) ).

fof(f18,plain,
    ( ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
    | ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f20,plain,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
      | ~ icext(X1,X0) ),
    inference(cnf_transformation,[],[f13]) ).

fof(f22,plain,
    ! [X0] :
      ( iext(uri_rdf_type,X0,uri_rdf_Property)
      | ~ ip(X0) ),
    inference(cnf_transformation,[],[f14]) ).

fof(f23,plain,
    ! [X0] :
      ( icext(uri_rdfs_Resource,X0)
      | ~ ir(X0) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f26,plain,
    ! [X0] :
      ( icext(uri_owl_Thing,X0)
      | ~ ir(X0) ),
    inference(cnf_transformation,[],[f16]) ).

fof(f27,plain,
    ! [X0] :
      ( ~ icext(uri_owl_ObjectProperty,X0)
      | ip(X0) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f28,plain,
    ! [X0] :
      ( icext(uri_owl_ObjectProperty,X0)
      | ~ ip(X0) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f29,plain,
    iext(uri_ex_p,uri_ex_s,uri_ex_o),
    inference(cnf_transformation,[],[f10]) ).

fof(f30,plain,
    ! [X2,X0,X1] :
      ( ~ iext(X1,X0,X2)
      | ip(X1) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f31,plain,
    ! [X0] : ir(X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f32,plain,
    ! [X0] : icext(uri_rdfs_Resource,X0),
    inference(forward_subsumption_resolution,[],[f23,f31]) ).

fof(f33,plain,
    ! [X0] : icext(uri_owl_Thing,X0),
    inference(forward_subsumption_resolution,[],[f26,f31]) ).

fof(f36,plain,
    ip(uri_ex_p),
    inference(resolution,[],[f30,f29]) ).

fof(f39,plain,
    ( ~ icext(uri_owl_Thing,uri_ex_o)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
    | ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource) ),
    inference(resolution,[],[f20,f18]) ).

fof(f43,plain,
    ( ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource) ),
    inference(forward_subsumption_resolution,[],[f39,f33]) ).

fof(f44,plain,
    ( ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
    | ~ icext(uri_rdfs_Resource,uri_ex_o) ),
    inference(resolution,[],[f43,f20]) ).

fof(f45,plain,
    ( ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource) ),
    inference(forward_subsumption_resolution,[],[f44,f32]) ).

fof(f46,plain,
    ( ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
    | ~ icext(uri_owl_ObjectProperty,uri_ex_p) ),
    inference(resolution,[],[f45,f20]) ).

fof(f48,plain,
    ( ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
    | ~ icext(uri_owl_ObjectProperty,uri_ex_p)
    | ~ icext(uri_owl_Thing,uri_ex_p) ),
    inference(resolution,[],[f46,f20]) ).

fof(f49,plain,
    ( ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
    | ~ icext(uri_owl_ObjectProperty,uri_ex_p) ),
    inference(forward_subsumption_resolution,[],[f48,f33]) ).

fof(f54,plain,
    ( ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
    | ~ icext(uri_owl_ObjectProperty,uri_ex_p)
    | ~ icext(uri_rdfs_Resource,uri_ex_p) ),
    inference(resolution,[],[f49,f20]) ).

fof(f55,plain,
    ( ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
    | ~ icext(uri_owl_ObjectProperty,uri_ex_p) ),
    inference(forward_subsumption_resolution,[],[f54,f32]) ).

fof(f56,plain,
    ( ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
    | ~ icext(uri_owl_ObjectProperty,uri_ex_p)
    | ~ ip(uri_ex_p) ),
    inference(resolution,[],[f55,f22]) ).

fof(f58,plain,
    ( ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
    | ~ icext(uri_owl_ObjectProperty,uri_ex_p) ),
    inference(forward_subsumption_resolution,[],[f56,f27]) ).

fof(f59,plain,
    ( ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
    | ~ icext(uri_owl_ObjectProperty,uri_ex_p)
    | ~ icext(uri_owl_Thing,uri_ex_s) ),
    inference(resolution,[],[f58,f20]) ).

fof(f60,plain,
    ( ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
    | ~ icext(uri_owl_ObjectProperty,uri_ex_p) ),
    inference(forward_subsumption_resolution,[],[f59,f33]) ).

fof(f61,plain,
    ( ~ icext(uri_owl_ObjectProperty,uri_ex_p)
    | ~ icext(uri_rdfs_Resource,uri_ex_s) ),
    inference(resolution,[],[f60,f20]) ).

fof(f62,plain,
    ~ icext(uri_owl_ObjectProperty,uri_ex_p),
    inference(forward_subsumption_resolution,[],[f61,f32]) ).

fof(f63,plain,
    ~ ip(uri_ex_p),
    inference(resolution,[],[f62,f28]) ).

fof(f64,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f63,f36]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB005+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.39  % Computer : n016.cluster.edu
% 0.13/0.39  % Model    : x86_64 x86_64
% 0.13/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39  % Memory   : 8046.5625MB
% 0.13/0.39  % OS       : Linux 6.8.0-71-generic
% 0.13/0.39  % CPULimit : 300
% 0.13/0.39  % WCLimit  : 300
% 0.13/0.39  % DateTime : Mon Sep 28 07:00:03 UTC 2026
% 0.13/0.39  % CPUTime  : 
% 0.13/0.39  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.43  Running first-order theorem proving
% 0.13/0.43  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.74/1.16  % (3442685)Detected formulas, will run a generic FOF schedule.
% 1.74/1.16  % (3442742)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1192614444:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.74/1.16  % (3442742)First to succeed.
% 1.74/1.16  % (3442742)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3442685"
% 1.74/1.16  % (3442740)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=1974883225:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.74/1.16  % (3442738)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=2463850740:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.74/1.16  % (3442741)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=114451272:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.74/1.16  % (3442741)Refutation not found, incomplete strategy
% 1.74/1.16  % (3442741)------------------------------
% 1.74/1.16  % (3442741)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.74/1.16  % (3442741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/1.16  % (3442741)CaDiCaL version: 2.1.3
% 1.74/1.16  % (3442741)Termination reason: Refutation not found, incomplete strategy
% 1.74/1.16  % (3442741)Time elapsed: 0.001 s
% 1.74/1.16  % (3442741)Peak memory usage: 88 MB
% 1.74/1.16  % (3442741)Instructions burned: 1 (million)
% 1.74/1.16  % (3442743)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1885078746:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.74/1.16  % (3442744)dis-21_1_sil=8000:lcm=predicate:random_seed=3697889820: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)
% 1.74/1.16  % (3442744)Also succeeded, but the first one will report.
% 1.74/1.16  % (3442743)Also succeeded, but the first one will report.
% 1.74/1.16  % (3442739)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=3208004945:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.74/1.16  % (3442742)Refutation found. Thanks to Tanya!
% 1.74/1.16  % SZS status Theorem for theBenchmark
% 1.74/1.16  % SZS output start Proof for theBenchmark
% See solution above
% 2.62/1.37  % (3442742)------------------------------
% 2.62/1.37  % (3442742)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.62/1.37  % (3442742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/1.37  % (3442742)CaDiCaL version: 2.1.3
% 2.62/1.37  % (3442742)Termination reason: Refutation
% 2.62/1.37  % (3442742)Time elapsed: 0.002 s
% 2.62/1.37  % (3442742)Peak memory usage: 88 MB
% 2.62/1.37  % (3442742)Instructions burned: 2 (million)
% 2.62/1.38  % (3442742)------------------------------
% 2.62/1.38  % (3442742)------------------------------
% 2.62/1.38  % (3442685)Success in time 0.286 s
% 2.62/1.38  % Vampire exiting
%------------------------------------------------------------------------------