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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWB005+1 : 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 : n018.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 01:00:30 PM UTC 2026

% Result   : Theorem 0.41s 0.48s
% Output   : Refutation 0.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   79 (  25 unt;   8 def)
%            Number of atoms       :  179 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  164 (  64   ~;  67   |;  19   &)
%                                         (  13 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   13 (  12 usr;   9 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   8 con; 0-0 aty)
%            Number of variables   :   31 (   0 sgn  31   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1,X2] :
      ( iext(X1,X0,X2)
     => ip(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',simple_iext_property) ).

fof(f2,axiom,
    ! [X0] : ir(X0),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',simple_ir) ).

fof(f13,axiom,
    ! [X0] :
      ( iext(uri_rdf_type,X0,uri_rdf_Property)
    <=> ip(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',rdf_type_ip) ).

fof(f25,axiom,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
    <=> icext(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',rdfs_cext_def) ).

fof(f100,axiom,
    ! [X0] :
      ( ir(X0)
    <=> iext(uri_rdf_type,X0,uri_rdfs_Resource) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_parts_ir_def) ).

fof(f147,axiom,
    ! [X0] :
      ( icext(uri_owl_ObjectProperty,X0)
    <=> ip(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_class_objectproperty_ext) ).

fof(f163,axiom,
    ! [X0] :
      ( icext(uri_owl_Thing,X0)
    <=> ir(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_class_thing_ext) ).

fof(f559,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/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_005_Everything_is_a_Resource) ).

fof(f560,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)],[f559]) ).

fof(f561,axiom,
    iext(uri_ex_p,uri_ex_s,uri_ex_o),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_005_Everything_is_a_Resource) ).

fof(f572,plain,
    ! [X0,X1,X2] :
      ( ip(X1)
      | ~ iext(X1,X0,X2) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f980,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,[],[f560]) ).

fof(f1060,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,[],[f13]) ).

fof(f1061,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdf_type,X0,X1)
        | ~ icext(X1,X0) )
      & ( icext(X1,X0)
        | ~ iext(uri_rdf_type,X0,X1) ) ),
    inference(nnf_transformation,[],[f25]) ).

fof(f1072,plain,
    ! [X0] :
      ( ( ir(X0)
        | ~ iext(uri_rdf_type,X0,uri_rdfs_Resource) )
      & ( iext(uri_rdf_type,X0,uri_rdfs_Resource)
        | ~ ir(X0) ) ),
    inference(nnf_transformation,[],[f100]) ).

fof(f1082,plain,
    ! [X0] :
      ( ( icext(uri_owl_ObjectProperty,X0)
        | ~ ip(X0) )
      & ( ip(X0)
        | ~ icext(uri_owl_ObjectProperty,X0) ) ),
    inference(nnf_transformation,[],[f147]) ).

fof(f1087,plain,
    ! [X0] :
      ( ( icext(uri_owl_Thing,X0)
        | ~ ir(X0) )
      & ( ir(X0)
        | ~ icext(uri_owl_Thing,X0) ) ),
    inference(nnf_transformation,[],[f163]) ).

fof(f1460,plain,
    ! [X2,X0,X1] :
      ( ~ iext(X1,X0,X2)
      | ip(X1) ),
    inference(cnf_transformation,[],[f572]) ).

fof(f1461,plain,
    ! [X0] : ir(X0),
    inference(cnf_transformation,[],[f2]) ).

fof(f1473,plain,
    ! [X0] :
      ( iext(uri_rdf_type,X0,uri_rdf_Property)
      | ~ ip(X0) ),
    inference(cnf_transformation,[],[f1060]) ).

fof(f1486,plain,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
      | ~ icext(X1,X0) ),
    inference(cnf_transformation,[],[f1061]) ).

fof(f1578,plain,
    ! [X0] :
      ( iext(uri_rdf_type,X0,uri_rdfs_Resource)
      | ~ ir(X0) ),
    inference(cnf_transformation,[],[f1072]) ).

fof(f1636,plain,
    ! [X0] :
      ( icext(uri_owl_ObjectProperty,X0)
      | ~ ip(X0) ),
    inference(cnf_transformation,[],[f1082]) ).

fof(f1657,plain,
    ! [X0] :
      ( icext(uri_owl_Thing,X0)
      | ~ ir(X0) ),
    inference(cnf_transformation,[],[f1087]) ).

fof(f2749,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(cnf_transformation,[],[f980]) ).

fof(f2750,plain,
    iext(uri_ex_p,uri_ex_s,uri_ex_o),
    inference(cnf_transformation,[],[f561]) ).

fof(f2774,definition,
    ( spl251_1
  <=> iext(uri_rdf_type,uri_ex_o,uri_owl_Thing) ),
    introduced(definition,[new_symbols(definition,[spl251_1])],[avatar_definition]) ).

fof(f2776,plain,
    ( ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)
    | spl251_1 ),
    inference(avatar_component_clause,[],[f2774]) ).

fof(f2778,definition,
    ( spl251_2
  <=> iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource) ),
    introduced(definition,[new_symbols(definition,[spl251_2])],[avatar_definition]) ).

fof(f2780,plain,
    ( ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
    | spl251_2 ),
    inference(avatar_component_clause,[],[f2778]) ).

fof(f2782,definition,
    ( spl251_3
  <=> iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) ),
    introduced(definition,[new_symbols(definition,[spl251_3])],[avatar_definition]) ).

fof(f2784,plain,
    ( ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
    | spl251_3 ),
    inference(avatar_component_clause,[],[f2782]) ).

fof(f2786,definition,
    ( spl251_4
  <=> iext(uri_rdf_type,uri_ex_p,uri_rdf_Property) ),
    introduced(definition,[new_symbols(definition,[spl251_4])],[avatar_definition]) ).

fof(f2788,plain,
    ( ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
    | spl251_4 ),
    inference(avatar_component_clause,[],[f2786]) ).

fof(f2790,definition,
    ( spl251_5
  <=> iext(uri_rdf_type,uri_ex_p,uri_owl_Thing) ),
    introduced(definition,[new_symbols(definition,[spl251_5])],[avatar_definition]) ).

fof(f2792,plain,
    ( ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
    | spl251_5 ),
    inference(avatar_component_clause,[],[f2790]) ).

fof(f2794,definition,
    ( spl251_6
  <=> iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource) ),
    introduced(definition,[new_symbols(definition,[spl251_6])],[avatar_definition]) ).

fof(f2796,plain,
    ( ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
    | spl251_6 ),
    inference(avatar_component_clause,[],[f2794]) ).

fof(f2798,definition,
    ( spl251_7
  <=> iext(uri_rdf_type,uri_ex_s,uri_owl_Thing) ),
    introduced(definition,[new_symbols(definition,[spl251_7])],[avatar_definition]) ).

fof(f2800,plain,
    ( ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
    | spl251_7 ),
    inference(avatar_component_clause,[],[f2798]) ).

fof(f2802,definition,
    ( spl251_8
  <=> iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource) ),
    introduced(definition,[new_symbols(definition,[spl251_8])],[avatar_definition]) ).

fof(f2804,plain,
    ( ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
    | spl251_8 ),
    inference(avatar_component_clause,[],[f2802]) ).

fof(f2805,plain,
    ( ~ spl251_1
    | ~ spl251_2
    | ~ spl251_3
    | ~ spl251_4
    | ~ spl251_5
    | ~ spl251_6
    | ~ spl251_7
    | ~ spl251_8 ),
    inference(avatar_split_clause,[],[f2749,f2802,f2798,f2794,f2790,f2786,f2782,f2778,f2774]) ).

fof(f2877,plain,
    ! [X0] : icext(uri_owl_Thing,X0),
    inference(forward_subsumption_resolution,[],[f1657,f1461]) ).

fof(f2942,plain,
    ip(uri_ex_p),
    inference(resolution,[],[f1460,f2750]) ).

fof(f3006,plain,
    ! [X0] : iext(uri_rdf_type,X0,uri_rdfs_Resource),
    inference(forward_subsumption_resolution,[],[f1578,f1461]) ).

fof(f3112,plain,
    ( ~ icext(uri_owl_Thing,uri_ex_o)
    | spl251_1 ),
    inference(resolution,[],[f1486,f2776]) ).

fof(f3123,plain,
    ( $false
    | spl251_1 ),
    inference(forward_subsumption_resolution,[],[f3112,f2877]) ).

fof(f3124,plain,
    spl251_1,
    inference(avatar_contradiction_clause,[],[f3123]) ).

fof(f3125,plain,
    ( $false
    | spl251_2 ),
    inference(forward_subsumption_resolution,[],[f2780,f3006]) ).

fof(f3126,plain,
    spl251_2,
    inference(avatar_contradiction_clause,[],[f3125]) ).

fof(f3129,plain,
    ( ~ icext(uri_owl_ObjectProperty,uri_ex_p)
    | spl251_3 ),
    inference(resolution,[],[f2784,f1486]) ).

fof(f3130,plain,
    ( ~ ip(uri_ex_p)
    | spl251_3 ),
    inference(resolution,[],[f3129,f1636]) ).

fof(f3131,plain,
    ( $false
    | spl251_3 ),
    inference(forward_subsumption_resolution,[],[f3130,f2942]) ).

fof(f3132,plain,
    spl251_3,
    inference(avatar_contradiction_clause,[],[f3131]) ).

fof(f3136,plain,
    ( ~ ip(uri_ex_p)
    | spl251_4 ),
    inference(resolution,[],[f2788,f1473]) ).

fof(f3138,plain,
    ( $false
    | spl251_4 ),
    inference(forward_subsumption_resolution,[],[f3136,f2942]) ).

fof(f3139,plain,
    spl251_4,
    inference(avatar_contradiction_clause,[],[f3138]) ).

fof(f3143,plain,
    ( ~ icext(uri_owl_Thing,uri_ex_p)
    | spl251_5 ),
    inference(resolution,[],[f2792,f1486]) ).

fof(f3144,plain,
    ( $false
    | spl251_5 ),
    inference(forward_subsumption_resolution,[],[f3143,f2877]) ).

fof(f3145,plain,
    spl251_5,
    inference(avatar_contradiction_clause,[],[f3144]) ).

fof(f3146,plain,
    ( $false
    | spl251_6 ),
    inference(forward_subsumption_resolution,[],[f2796,f3006]) ).

fof(f3147,plain,
    spl251_6,
    inference(avatar_contradiction_clause,[],[f3146]) ).

fof(f3151,plain,
    ( ~ icext(uri_owl_Thing,uri_ex_s)
    | spl251_7 ),
    inference(resolution,[],[f2800,f1486]) ).

fof(f3152,plain,
    ( $false
    | spl251_7 ),
    inference(forward_subsumption_resolution,[],[f3151,f2877]) ).

fof(f3153,plain,
    spl251_7,
    inference(avatar_contradiction_clause,[],[f3152]) ).

fof(f3154,plain,
    ( $false
    | spl251_8 ),
    inference(forward_subsumption_resolution,[],[f2804,f3006]) ).

fof(f3155,plain,
    spl251_8,
    inference(avatar_contradiction_clause,[],[f3154]) ).

cnf(s1,plain,
    ( ~ spl251_1
    | ~ spl251_2
    | ~ spl251_3
    | ~ spl251_4
    | ~ spl251_5
    | ~ spl251_6
    | ~ spl251_7
    | ~ spl251_8 ),
    inference(sat_conversion,[],[f2805]) ).

cnf(s12,plain,
    spl251_1,
    inference(sat_conversion,[],[f3124]) ).

cnf(s13,plain,
    spl251_2,
    inference(sat_conversion,[],[f3126]) ).

cnf(s14,plain,
    spl251_3,
    inference(sat_conversion,[],[f3132]) ).

cnf(s15,plain,
    spl251_4,
    inference(sat_conversion,[],[f3139]) ).

cnf(s16,plain,
    spl251_5,
    inference(sat_conversion,[],[f3145]) ).

cnf(s17,plain,
    spl251_6,
    inference(sat_conversion,[],[f3147]) ).

cnf(s18,plain,
    spl251_7,
    inference(sat_conversion,[],[f3153]) ).

cnf(s19,plain,
    spl251_8,
    inference(sat_conversion,[],[f3155]) ).

cnf(s20,plain,
    $false,
    inference(rat,[],[s1,s19,s18,s17,s16,s15,s14,s13,s12]) ).

fof(f3156,plain,
    $false,
    inference(avatar_sat_refutation,[],[s20]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWB005+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.35  % Computer : n018.cluster.edu
% 0.09/0.35  % Model    : x86_64 x86_64
% 0.09/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35  % Memory   : 8046.5625MB
% 0.09/0.35  % OS       : Linux 6.8.0-71-generic
% 0.09/0.35  % CPULimit : 300
% 0.09/0.35  % WCLimit  : 300
% 0.09/0.35  % DateTime : Mon Sep 28 06:57:24 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.36  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39  Running first-order model finding
% 0.13/0.39  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
% 0.41/0.48  % (3188443)Will run a generic schedule for satisfiability detection.
% 0.41/0.48  % (3188452)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4075153246:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.41/0.48  % (3188448)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1931471660_2999 on theBenchmark for (2999ds/0Mi)
% 0.41/0.48  % (3188450)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=925802524:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.41/0.48  % (3188451)dis+10_1_sil=32000:sp=arity:random_seed=3377230274:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.41/0.48  % (3188453)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4003664634:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.41/0.48  % (3188454)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2461908030:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.41/0.48  % (3188449)% WARNING: option uhcvi not known.
% 0.41/0.48  % (3188449)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3645794989:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.41/0.48  % (3188452)Instruction limit reached! 
% 0.41/0.48  % (3188452)------------------------------
% 0.41/0.48  % (3188452)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.41/0.48  % (3188452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.41/0.48  % (3188452)CaDiCaL version: 2.1.3
% 0.41/0.48  % (3188452)Termination reason: Instruction limit
% 0.41/0.48  % (3188452)Termination phase: Saturation
% 0.41/0.48  % (3188452)Time elapsed: 0.030 s
% 0.41/0.48  % (3188452)Peak memory usage: 13 MB
% 0.41/0.48  % (3188452)Instructions burned: 117 (million)
% 0.41/0.48  % (3188451) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3188443-3188451"...
% 0.41/0.48  % (3188462)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3642243262:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.41/0.48  % (3188451)...printing done.
% 0.41/0.48  % (3188451)Refutation found. Thanks to Tanya!
% 0.41/0.48  % SZS status Theorem for theBenchmark
% 0.41/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.41/0.49  % (3188451)------------------------------
% 0.41/0.49  % (3188451)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.41/0.49  % (3188451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.41/0.49  % (3188451)CaDiCaL version: 2.1.3
% 0.41/0.49  % (3188451)Termination reason: Refutation
% 0.41/0.49  % (3188451)Time elapsed: 0.036 s
% 0.41/0.49  % (3188451)Peak memory usage: 14 MB
% 0.41/0.49  % (3188451)Instructions burned: 67 (million)
% 0.41/0.49  % (3188443)Success in time 0.087 s
% 0.41/0.49  % Vampire exiting
%------------------------------------------------------------------------------