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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWB074+1 : 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 : n014.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 01:00:22 PM UTC 2026

% Result   : Theorem 4.28s 1.83s
% Output   : Refutation 4.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   23 (  11 unt;   0 def)
%            Number of atoms       :   49 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   44 (  18   ~;  15   |;   8   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :   22 (  22   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [X0] : ir(X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',simple_ir) ).

fof(f25,axiom,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
    <=> icext(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).

fof(f56,axiom,
    ! [X0] :
      ( lv(X0)
    <=> icext(uri_rdfs_Literal,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_lv_def) ).

fof(f266,axiom,
    ! [X0,X1] :
      ( iext(uri_owl_topDataProperty,X0,X1)
    <=> ( ir(X0)
        & lv(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_topdataproperty_ext) ).

fof(f559,conjecture,
    iext(uri_owl_topDataProperty,uri_ex_x,uri_ex_y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_rdfbased_sem_prop_topdataproperty_ext_lo) ).

fof(f560,negated_conjecture,
    ~ iext(uri_owl_topDataProperty,uri_ex_x,uri_ex_y),
    inference(negated_conjecture,[status(cth)],[f559]) ).

fof(f561,axiom,
    ( iext(uri_rdf_type,uri_ex_y,uri_rdfs_Literal)
    & iext(uri_rdf_type,uri_ex_x,uri_owl_Thing) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_rdfbased_sem_prop_topdataproperty_ext_lo) ).

fof(f572,plain,
    ~ iext(uri_owl_topDataProperty,uri_ex_x,uri_ex_y),
    inference(flattening,[],[f560]) ).

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(f1064,plain,
    ! [X0] :
      ( ( lv(X0)
        | ~ icext(uri_rdfs_Literal,X0) )
      & ( icext(uri_rdfs_Literal,X0)
        | ~ lv(X0) ) ),
    inference(nnf_transformation,[],[f56]) ).

fof(f1088,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_topDataProperty,X0,X1)
        | ~ ir(X0)
        | ~ lv(X1) )
      & ( ( ir(X0)
          & lv(X1) )
        | ~ iext(uri_owl_topDataProperty,X0,X1) ) ),
    inference(nnf_transformation,[],[f266]) ).

fof(f1089,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_topDataProperty,X0,X1)
        | ~ ir(X0)
        | ~ lv(X1) )
      & ( ( ir(X0)
          & lv(X1) )
        | ~ iext(uri_owl_topDataProperty,X0,X1) ) ),
    inference(flattening,[],[f1088]) ).

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

fof(f1485,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdf_type,X0,X1)
      | icext(X1,X0) ),
    inference(cnf_transformation,[],[f1061]) ).

fof(f1520,plain,
    ! [X0] :
      ( ~ icext(uri_rdfs_Literal,X0)
      | lv(X0) ),
    inference(cnf_transformation,[],[f1064]) ).

fof(f1808,plain,
    ! [X0,X1] :
      ( iext(uri_owl_topDataProperty,X0,X1)
      | ~ ir(X0)
      | ~ lv(X1) ),
    inference(cnf_transformation,[],[f1089]) ).

fof(f2749,plain,
    ~ iext(uri_owl_topDataProperty,uri_ex_x,uri_ex_y),
    inference(cnf_transformation,[],[f572]) ).

fof(f2751,plain,
    iext(uri_rdf_type,uri_ex_y,uri_rdfs_Literal),
    inference(cnf_transformation,[],[f561]) ).

fof(f2774,plain,
    ! [X0,X1] :
      ( ~ lv(X1)
      | iext(uri_owl_topDataProperty,X0,X1) ),
    inference(forward_subsumption_resolution,[],[f1808,f1461]) ).

fof(f2805,plain,
    icext(uri_rdfs_Literal,uri_ex_y),
    inference(resolution,[],[f1485,f2751]) ).

fof(f2811,plain,
    lv(uri_ex_y),
    inference(resolution,[],[f2805,f1520]) ).

fof(f2812,plain,
    ! [X0] : iext(uri_owl_topDataProperty,X0,uri_ex_y),
    inference(resolution,[],[f2811,f2774]) ).

fof(f2818,plain,
    $false,
    inference(resolution,[],[f2812,f2749]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : SWB074+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.08  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.47  % Computer : n014.cluster.edu
% 0.18/0.47  % Model    : x86_64 x86_64
% 0.18/0.47  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.47  % Memory   : 8046.5625MB
% 0.18/0.47  % OS       : Linux 6.8.0-71-generic
% 0.18/0.47  % CPULimit : 300
% 0.18/0.47  % WCLimit  : 300
% 0.18/0.47  % DateTime : Mon Sep 28 07:16:01 UTC 2026
% 0.18/0.48  % CPUTime  : 
% 0.18/0.48  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.53  Running first-order theorem proving
% 0.23/0.53  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
% 4.28/1.83  % (1601473)Detected formulas, will run a generic FOF schedule.
% 4.28/1.83  % (1601485)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1299091628:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.28/1.83  % (1601480)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=40532402:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.28/1.83  % (1601485)First to succeed.
% 4.28/1.83  % (1601485)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1601473"
% 4.28/1.83  % (1601482)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=4260282589:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.28/1.83  % (1601481)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=952838794:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.28/1.83  % (1601484)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=122342725:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.28/1.83  % (1601486)dis-21_1_sil=8000:lcm=predicate:random_seed=582763122: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)
% 4.28/1.83  % (1601483)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4255637244:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.28/1.83  % (1601483)Refutation not found, incomplete strategy
% 4.28/1.83  % (1601483)------------------------------
% 4.28/1.83  % (1601483)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.28/1.83  % (1601483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.28/1.83  % (1601483)CaDiCaL version: 2.1.3
% 4.28/1.83  % (1601483)Termination reason: Refutation not found, incomplete strategy
% 4.28/1.83  % (1601483)Time elapsed: 0.003 s
% 4.28/1.83  % (1601483)Peak memory usage: 87 MB
% 4.28/1.83  % (1601483)Instructions burned: 2 (million)
% 4.28/1.83  % (1601484)Also succeeded, but the first one will report.
% 4.28/1.83  % (1601486)Instruction limit reached! 
% 4.28/1.83  % (1601486)------------------------------
% 4.28/1.83  % (1601486)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.28/1.83  % (1601486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.28/1.83  % (1601486)CaDiCaL version: 2.1.3
% 4.28/1.83  % (1601486)Termination reason: Instruction limit
% 4.28/1.83  % (1601486)Termination phase: Saturation
% 4.28/1.83  % (1601486)Time elapsed: 0.120 s
% 4.28/1.83  % (1601486)Peak memory usage: 91 MB
% 4.28/1.83  % (1601486)Instructions burned: 130 (million)
% 4.28/1.83  % (1601485)Refutation found. Thanks to Tanya!
% 4.28/1.83  % SZS status Theorem for theBenchmark
% 4.28/1.83  % SZS output start Proof for theBenchmark
% See solution above
% 4.28/1.83  % (1601485)------------------------------
% 4.28/1.83  % (1601485)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.28/1.83  % (1601485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.28/1.83  % (1601485)CaDiCaL version: 2.1.3
% 4.28/1.83  % (1601485)Termination reason: Refutation
% 4.28/1.83  % (1601485)Time elapsed: 0.031 s
% 4.28/1.83  % (1601485)Peak memory usage: 90 MB
% 4.28/1.83  % (1601485)Instructions burned: 61 (million)
% 4.28/1.83  % (1601485)------------------------------
% 4.28/1.83  % (1601485)------------------------------
% 4.28/1.83  % (1601473)Success in time 0.508 s
% 4.28/1.83  % Vampire exiting
%------------------------------------------------------------------------------