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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWB005+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 : n012.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 0.07s 0.35s
% Output   : Refutation 0.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   84 (  26 unt;   8 def)
%            Number of atoms       :  178 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  151 (  57   ~;  66   |;  14   &)
%                                         (  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   :   35 (   0 sgn  35   !;   0   ?)

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

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

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

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

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

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

fof(f7,axiom,
    ! [X0] :
      ( icext(uri_owl_ObjectProperty,X0)
    <=> ip(X0) ),
    file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_005_Everything_is_a_Resource) ).

fof(f11,plain,
    ! [X0,X1,X2] :
      ( ip(X1)
      | ~ iext(X1,X0,X2) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f12,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(f13,plain,
    ! [X0] : ir(X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f14,plain,
    ! [X2,X0,X1] :
      ( ~ iext(X1,X0,X2)
      | ip(X1) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f15,plain,
    ! [X0] :
      ( ~ ip(X0)
      | iext(uri_rdf_type,X0,uri_rdf_Property) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f17,plain,
    ! [X0,X1] :
      ( ~ icext(X1,X0)
      | iext(uri_rdf_type,X0,X1) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f20,plain,
    ! [X0] :
      ( icext(uri_rdfs_Resource,X0)
      | ~ ir(X0) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f21,plain,
    ! [X0] :
      ( ~ ir(X0)
      | icext(uri_owl_Thing,X0) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f23,plain,
    ! [X0] :
      ( ~ ip(X0)
      | icext(uri_owl_ObjectProperty,X0) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f25,plain,
    ( ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
    | ~ 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(cnf_transformation,[],[f12]) ).

fof(f26,plain,
    iext(uri_ex_p,uri_ex_s,uri_ex_o),
    inference(cnf_transformation,[],[f10]) ).

fof(f27,plain,
    ! [X0] : ~ ir(X0),
    inference(consistent_polarity_flipping,[],[f13]) ).

fof(f28,plain,
    ! [X2,X0,X1] :
      ( ~ iext(X1,X0,X2)
      | ~ ip(X1) ),
    inference(consistent_polarity_flipping,[],[f14]) ).

fof(f30,plain,
    ! [X0] :
      ( iext(uri_rdf_type,X0,uri_rdf_Property)
      | ip(X0) ),
    inference(consistent_polarity_flipping,[],[f15]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
      | icext(X1,X0) ),
    inference(consistent_polarity_flipping,[],[f17]) ).

fof(f33,plain,
    ! [X0] :
      ( ~ icext(uri_rdfs_Resource,X0)
      | ir(X0) ),
    inference(consistent_polarity_flipping,[],[f20]) ).

fof(f36,plain,
    ! [X0] :
      ( ir(X0)
      | ~ icext(uri_owl_Thing,X0) ),
    inference(consistent_polarity_flipping,[],[f21]) ).

fof(f38,plain,
    ! [X0] :
      ( ~ icext(uri_owl_ObjectProperty,X0)
      | ip(X0) ),
    inference(consistent_polarity_flipping,[],[f23]) ).

fof(f40,definition,
    ( spl0_1
  <=> iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f42,plain,
    ( ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f40]) ).

fof(f44,definition,
    ( spl0_2
  <=> iext(uri_rdf_type,uri_ex_s,uri_owl_Thing) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f46,plain,
    ( ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f44]) ).

fof(f48,definition,
    ( spl0_3
  <=> iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource) ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f50,plain,
    ( ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f48]) ).

fof(f52,definition,
    ( spl0_4
  <=> iext(uri_rdf_type,uri_ex_p,uri_owl_Thing) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f54,plain,
    ( ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
    | spl0_4 ),
    inference(avatar_component_clause,[],[f52]) ).

fof(f56,definition,
    ( spl0_5
  <=> iext(uri_rdf_type,uri_ex_p,uri_rdf_Property) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f58,plain,
    ( ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f56]) ).

fof(f60,definition,
    ( spl0_6
  <=> iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f62,plain,
    ( ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f60]) ).

fof(f64,definition,
    ( spl0_7
  <=> iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f66,plain,
    ( ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
    | spl0_7 ),
    inference(avatar_component_clause,[],[f64]) ).

fof(f68,definition,
    ( spl0_8
  <=> iext(uri_rdf_type,uri_ex_o,uri_owl_Thing) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f70,plain,
    ( ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)
    | spl0_8 ),
    inference(avatar_component_clause,[],[f68]) ).

fof(f71,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f25,f68,f64,f60,f56,f52,f48,f44,f40]) ).

fof(f72,plain,
    ! [X0] : ~ icext(uri_rdfs_Resource,X0),
    inference(forward_subsumption_resolution,[],[f33,f27]) ).

fof(f73,plain,
    ! [X0] : ~ icext(uri_owl_Thing,X0),
    inference(forward_subsumption_resolution,[],[f36,f27]) ).

fof(f75,plain,
    ~ ip(uri_ex_p),
    inference(resolution,[],[f28,f26]) ).

fof(f87,plain,
    ( icext(uri_rdfs_Resource,uri_ex_s)
    | spl0_1 ),
    inference(resolution,[],[f32,f42]) ).

fof(f90,plain,
    ( $false
    | spl0_1 ),
    inference(forward_subsumption_resolution,[],[f87,f72]) ).

fof(f91,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f90]) ).

fof(f93,plain,
    ( icext(uri_owl_Thing,uri_ex_s)
    | spl0_2 ),
    inference(resolution,[],[f46,f32]) ).

fof(f94,plain,
    ( $false
    | spl0_2 ),
    inference(forward_subsumption_resolution,[],[f93,f73]) ).

fof(f95,plain,
    spl0_2,
    inference(avatar_contradiction_clause,[],[f94]) ).

fof(f97,plain,
    ( icext(uri_rdfs_Resource,uri_ex_p)
    | spl0_3 ),
    inference(resolution,[],[f50,f32]) ).

fof(f98,plain,
    ( $false
    | spl0_3 ),
    inference(forward_subsumption_resolution,[],[f97,f72]) ).

fof(f99,plain,
    spl0_3,
    inference(avatar_contradiction_clause,[],[f98]) ).

fof(f101,plain,
    ( icext(uri_owl_Thing,uri_ex_p)
    | spl0_4 ),
    inference(resolution,[],[f54,f32]) ).

fof(f102,plain,
    ( $false
    | spl0_4 ),
    inference(forward_subsumption_resolution,[],[f101,f73]) ).

fof(f103,plain,
    spl0_4,
    inference(avatar_contradiction_clause,[],[f102]) ).

fof(f105,plain,
    ( ip(uri_ex_p)
    | spl0_5 ),
    inference(resolution,[],[f58,f30]) ).

fof(f107,plain,
    ( $false
    | spl0_5 ),
    inference(forward_subsumption_resolution,[],[f105,f75]) ).

fof(f108,plain,
    spl0_5,
    inference(avatar_contradiction_clause,[],[f107]) ).

fof(f111,plain,
    ( icext(uri_owl_ObjectProperty,uri_ex_p)
    | spl0_6 ),
    inference(resolution,[],[f62,f32]) ).

fof(f112,plain,
    ( ip(uri_ex_p)
    | spl0_6 ),
    inference(resolution,[],[f111,f38]) ).

fof(f114,plain,
    ( $false
    | spl0_6 ),
    inference(forward_subsumption_resolution,[],[f112,f75]) ).

fof(f115,plain,
    spl0_6,
    inference(avatar_contradiction_clause,[],[f114]) ).

fof(f117,plain,
    ( icext(uri_rdfs_Resource,uri_ex_o)
    | spl0_7 ),
    inference(resolution,[],[f66,f32]) ).

fof(f118,plain,
    ( $false
    | spl0_7 ),
    inference(forward_subsumption_resolution,[],[f117,f72]) ).

fof(f119,plain,
    spl0_7,
    inference(avatar_contradiction_clause,[],[f118]) ).

fof(f121,plain,
    ( icext(uri_owl_Thing,uri_ex_o)
    | spl0_8 ),
    inference(resolution,[],[f70,f32]) ).

fof(f122,plain,
    ( $false
    | spl0_8 ),
    inference(forward_subsumption_resolution,[],[f121,f73]) ).

fof(f123,plain,
    spl0_8,
    inference(avatar_contradiction_clause,[],[f122]) ).

cnf(s1,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(sat_conversion,[],[f71]) ).

cnf(s3,plain,
    spl0_1,
    inference(sat_conversion,[],[f91]) ).

cnf(s4,plain,
    spl0_2,
    inference(sat_conversion,[],[f95]) ).

cnf(s5,plain,
    spl0_3,
    inference(sat_conversion,[],[f99]) ).

cnf(s6,plain,
    spl0_4,
    inference(sat_conversion,[],[f103]) ).

cnf(s7,plain,
    spl0_5,
    inference(sat_conversion,[],[f108]) ).

cnf(s8,plain,
    spl0_6,
    inference(sat_conversion,[],[f115]) ).

cnf(s9,plain,
    spl0_7,
    inference(sat_conversion,[],[f119]) ).

cnf(s10,plain,
    spl0_8,
    inference(sat_conversion,[],[f123]) ).

cnf(s11,plain,
    $false,
    inference(rat,[],[s1,s10,s9,s8,s7,s6,s5,s4,s3]) ).

fof(f124,plain,
    $false,
    inference(avatar_sat_refutation,[],[s11]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : SWB005+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.02  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.04/0.30  % Computer : n012.cluster.edu
% 0.04/0.30  % Model    : x86_64 x86_64
% 0.04/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30  % Memory   : 8046.5625MB
% 0.04/0.30  % OS       : Linux 6.8.0-71-generic
% 0.04/0.30  % CPULimit : 300
% 0.04/0.30  % WCLimit  : 300
% 0.04/0.30  % DateTime : Mon Sep 28 06:54:49 UTC 2026
% 0.04/0.30  % CPUTime  : 
% 0.04/0.30  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.04/0.32  Running first-order model finding
% 0.04/0.32  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
% 0.07/0.35  % (3189244)Will run a generic schedule for satisfiability detection.
% 0.07/0.35  % (3189250)% WARNING: option uhcvi not known.
% 0.07/0.35  % (3189249)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=555736044_2999 on theBenchmark for (2999ds/0Mi)
% 0.07/0.35  % (3189250)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1856555862:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.07/0.35  % (3189251)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2835970667:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.07/0.35  % (3189252)dis+10_1_sil=32000:sp=arity:random_seed=49713256:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.07/0.35  % (3189253)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3225347062:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.07/0.35  % (3189255)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2465159731:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.07/0.35  % (3189254)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=104796809:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.07/0.35  % Detected minimum model sizes of [1]
% 0.07/0.35  % Detected maximum model sizes of [8]
% 0.07/0.35  % TRYING [1]
% 0.07/0.35  % TRYING [2]
% 0.07/0.35  % (3189252) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3189244-3189252"...
% 0.07/0.35  % (3189250) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3189244-3189250"...
% 0.07/0.35  % (3189254) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3189244-3189254"...
% 0.07/0.35  % (3189253) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3189244-3189253"...
% 0.07/0.35  % TRYING [3]
% 0.07/0.35  % (3189255) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3189244-3189255"...
% 0.07/0.35  % (3189251) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3189244-3189251"...
% 0.07/0.35  % (3189250)...printing done.
% 0.07/0.35  % (3189252)...printing done.
% 0.07/0.35  % (3189254)...printing done.
% 0.07/0.35  % (3189253)...printing done.
% 0.07/0.35  % (3189255)...printing done.
% 0.07/0.35  % (3189250)Refutation found. Thanks to Tanya!
% 0.07/0.35  % SZS status Theorem for theBenchmark
% 0.07/0.35  % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.35  % (3189250)------------------------------
% 0.07/0.35  % (3189250)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.35  % (3189250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.35  % (3189250)CaDiCaL version: 2.1.3
% 0.07/0.35  % (3189250)Termination reason: Refutation
% 0.07/0.35  % (3189250)Time elapsed: 0.001 s
% 0.07/0.35  % (3189250)Peak memory usage: 12 MB
% 0.07/0.35  % (3189250)Instructions burned: 3 (million)
% 0.07/0.35  % (3189244)Success in time 0.027 s
% 0.07/0.35  % Vampire exiting
%------------------------------------------------------------------------------