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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWB006+2 : 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 : n015.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 12:59:59 PM UTC 2026

% Result   : Theorem 2.78s 1.15s
% Output   : Refutation 2.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   21 (  15 unt;   0 def)
%            Number of atoms       :   31 (  10 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   18 (   8   ~;   4   |;   5   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-1 aty)
%            Number of variables   :   10 (   9   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] :
      ( iext(uri_owl_sameAs,X0,X1)
    <=> X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_sameas) ).

fof(f2,conjecture,
    iext(uri_owl_sameAs,uri_ex_u,uri_ex_w),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_006_Literal_Values_represented_by_URIs_and_Blank_Nodes) ).

fof(f3,negated_conjecture,
    ~ iext(uri_owl_sameAs,uri_ex_u,uri_ex_w),
    inference(negated_conjecture,[status(cth)],[f2]) ).

fof(f4,axiom,
    ? [X0] :
      ( iext(uri_owl_sameAs,uri_ex_u,literal_plain(dat_str_abc))
      & iext(uri_owl_sameAs,X0,literal_plain(dat_str_abc))
      & iext(uri_owl_sameAs,X0,uri_ex_w) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_006_Literal_Values_represented_by_URIs_and_Blank_Nodes) ).

fof(f5,plain,
    ~ iext(uri_owl_sameAs,uri_ex_u,uri_ex_w),
    inference(flattening,[],[f3]) ).

fof(f6,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_sameAs,X0,X1)
        | X0 != X1 )
      & ( X0 = X1
        | ~ iext(uri_owl_sameAs,X0,X1) ) ),
    inference(nnf_transformation,[],[f1]) ).

fof(f7,plain,
    ( iext(uri_owl_sameAs,uri_ex_u,literal_plain(dat_str_abc))
    & iext(uri_owl_sameAs,sK0,literal_plain(dat_str_abc))
    & iext(uri_owl_sameAs,sK0,uri_ex_w) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f4]) ).

fof(f8,plain,
    ! [X0,X1] :
      ( ~ iext(uri_owl_sameAs,X0,X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f9,plain,
    ! [X0,X1] :
      ( iext(uri_owl_sameAs,X0,X1)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f10,plain,
    ~ iext(uri_owl_sameAs,uri_ex_u,uri_ex_w),
    inference(cnf_transformation,[],[f5]) ).

fof(f11,plain,
    iext(uri_owl_sameAs,sK0,uri_ex_w),
    inference(cnf_transformation,[],[f7]) ).

fof(f12,plain,
    iext(uri_owl_sameAs,sK0,literal_plain(dat_str_abc)),
    inference(cnf_transformation,[],[f7]) ).

fof(f13,plain,
    iext(uri_owl_sameAs,uri_ex_u,literal_plain(dat_str_abc)),
    inference(cnf_transformation,[],[f7]) ).

fof(f14,plain,
    ! [X1] : iext(uri_owl_sameAs,X1,X1),
    inference(equality_resolution,[],[f9]) ).

fof(f15,plain,
    uri_ex_w = sK0,
    inference(resolution,[],[f8,f11]) ).

fof(f16,plain,
    literal_plain(dat_str_abc) = sK0,
    inference(resolution,[],[f8,f12]) ).

fof(f18,plain,
    uri_ex_u = literal_plain(dat_str_abc),
    inference(resolution,[],[f8,f13]) ).

fof(f21,plain,
    uri_ex_w = literal_plain(dat_str_abc),
    inference(forward_demodulation,[],[f16,f15]) ).

fof(f25,plain,
    uri_ex_u = uri_ex_w,
    inference(forward_demodulation,[],[f21,f18]) ).

fof(f27,plain,
    ~ iext(uri_owl_sameAs,uri_ex_u,uri_ex_u),
    inference(superposition,[],[f10,f25]) ).

fof(f28,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f27,f14]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB006+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37  % Computer : n015.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Mon Sep 28 06:58:46 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41  Running first-order theorem proving
% 0.11/0.41  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
% 2.78/1.15  % (2439357)Detected formulas, will run a generic FOF schedule.
% 2.78/1.15  % (2439367)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=223325379:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.78/1.15  % (2439367)First to succeed.
% 2.78/1.15  % (2439367)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2439357"
% 2.78/1.15  % (2439366)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3136568048:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.78/1.15  % (2439362)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=438608465:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.78/1.15  % (2439365)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3755845579:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.78/1.15  % (2439368)dis-21_1_sil=8000:lcm=predicate:random_seed=2073582831: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)
% 2.78/1.15  % (2439363)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=1882134521:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.78/1.15  % (2439364)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=845635298:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.78/1.15  % (2439366)Refutation not found, incomplete strategy
% 2.78/1.15  % (2439366)------------------------------
% 2.78/1.15  % (2439366)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.78/1.15  % (2439366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/1.15  % (2439366)CaDiCaL version: 2.1.3
% 2.78/1.15  % (2439366)Termination reason: Refutation not found, incomplete strategy
% 2.78/1.15  % (2439366)Time elapsed: 0.0000 s
% 2.78/1.15  % (2439366)Peak memory usage: 87 MB
% 2.78/1.15  % (2439365)Refutation not found, incomplete strategy
% 2.78/1.15  % (2439365)------------------------------
% 2.78/1.15  % (2439365)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.78/1.15  % (2439365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/1.15  % (2439365)CaDiCaL version: 2.1.3
% 2.78/1.15  % (2439365)Termination reason: Refutation not found, incomplete strategy
% 2.78/1.15  % (2439365)Time elapsed: 0.0000 s
% 2.78/1.15  % (2439365)Peak memory usage: 87 MB
% 2.78/1.15  % (2439368)Refutation not found, incomplete strategy
% 2.78/1.15  % (2439368)------------------------------
% 2.78/1.15  % (2439368)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.78/1.15  % (2439368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/1.15  % (2439368)CaDiCaL version: 2.1.3
% 2.78/1.15  % (2439368)Termination reason: Refutation not found, incomplete strategy
% 2.78/1.15  % (2439368)Time elapsed: 0.001 s
% 2.78/1.15  % (2439368)Peak memory usage: 88 MB
% 2.78/1.15  % (2439367)Refutation found. Thanks to Tanya!
% 2.78/1.15  % SZS status Theorem for theBenchmark
% 2.78/1.15  % SZS output start Proof for theBenchmark
% See solution above
% 2.78/1.15  % (2439367)------------------------------
% 2.78/1.15  % (2439367)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.78/1.15  % (2439367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/1.15  % (2439367)CaDiCaL version: 2.1.3
% 2.78/1.15  % (2439367)Termination reason: Refutation
% 2.78/1.15  % (2439367)Time elapsed: 0.001 s
% 2.78/1.15  % (2439367)Peak memory usage: 89 MB
% 2.78/1.15  % (2439367)Instructions burned: 1 (million)
% 2.78/1.15  % (2439367)------------------------------
% 2.78/1.15  % (2439367)------------------------------
% 2.78/1.15  % (2439357)Success in time 0.328 s
% 2.78/1.15  % Vampire exiting
%------------------------------------------------------------------------------