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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : CSR064+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n010.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 09:42:30 AM UTC 2026

% Result   : Theorem 4.08s 1.54s
% Output   : Refutation 4.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   19 (   9 unt;   0 def)
%            Number of atoms       :   29 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   26 (  16   ~;   7   |;   1   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   19 (  19   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [X0] :
      ~ ( individual(X0)
        & setorcollection(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just2) ).

fof(f3,axiom,
    individual(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just3) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( genls(X0,X1)
     => subsetof(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just10) ).

fof(f41,axiom,
    ! [X0,X1] :
      ( subsetof(X0,X1)
     => setorcollection(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just41) ).

fof(f77,conjecture,
    ~ genls(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)),c_tptpcol_15_74743),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query64) ).

fof(f78,negated_conjecture,
    ~ ~ genls(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)),c_tptpcol_15_74743),
    inference(negated_conjecture,[status(cth)],[f77]) ).

fof(f79,plain,
    genls(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)),c_tptpcol_15_74743),
    inference(flattening,[],[f78]) ).

fof(f90,plain,
    ! [X0] :
      ( ~ individual(X0)
      | ~ setorcollection(X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f95,plain,
    ! [X0,X1] :
      ( subsetof(X0,X1)
      | ~ genls(X0,X1) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f133,plain,
    ! [X0,X1] :
      ( setorcollection(X0)
      | ~ subsetof(X0,X1) ),
    inference(ennf_transformation,[],[f41]) ).

fof(f171,plain,
    ! [X0] :
      ( ~ setorcollection(X0)
      | ~ individual(X0) ),
    inference(cnf_transformation,[],[f90]) ).

fof(f172,plain,
    individual(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))),
    inference(cnf_transformation,[],[f3]) ).

fof(f179,plain,
    ! [X0,X1] :
      ( subsetof(X0,X1)
      | ~ genls(X0,X1) ),
    inference(cnf_transformation,[],[f95]) ).

fof(f209,plain,
    ! [X0,X1] :
      ( setorcollection(X0)
      | ~ subsetof(X0,X1) ),
    inference(cnf_transformation,[],[f133]) ).

fof(f236,plain,
    genls(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)),c_tptpcol_15_74743),
    inference(cnf_transformation,[],[f79]) ).

fof(f238,plain,
    ! [X0,X1] :
      ( ~ individual(X0)
      | ~ subsetof(X0,X1) ),
    inference(resolution,[],[f209,f171]) ).

fof(f250,plain,
    ! [X0] : ~ subsetof(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)),X0),
    inference(resolution,[],[f238,f172]) ).

fof(f290,plain,
    ! [X0] : ~ genls(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)),X0),
    inference(resolution,[],[f250,f179]) ).

fof(f467,plain,
    $false,
    inference(resolution,[],[f290,f236]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR064+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23  % Computer : n010.cluster.edu
% 0.09/0.23  % Model    : x86_64 x86_64
% 0.09/0.23  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.23  % Memory   : 8046.5625MB
% 0.09/0.23  % OS       : Linux 6.8.0-71-generic
% 0.09/0.23  % CPULimit : 300
% 0.09/0.24  % WCLimit  : 300
% 0.09/0.24  % DateTime : Mon Sep 28 22:22:32 UTC 2026
% 0.09/0.24  % CPUTime  : 
% 0.09/0.24  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.30  Running first-order theorem proving
% 0.09/0.30  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
% 4.08/1.54  % (2429204)Detected formulas, will run a generic FOF schedule.
% 4.08/1.54  % (2429216)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1362258193:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.08/1.54  % (2429216)First to succeed.
% 4.08/1.54  % (2429216)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2429204"
% 4.08/1.54  % (2429211)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=2907827336:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.08/1.54  % (2429213)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=3468086366:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.08/1.54  % (2429212)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=4202791803:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.08/1.54  % (2429214)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1168745297:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.08/1.54  % (2429217)dis-21_1_sil=8000:lcm=predicate:random_seed=509835808: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)
% 4.08/1.54  % (2429217)Also succeeded, but the first one will report.
% 4.08/1.54  % (2429215)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1886276253:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.08/1.54  % (2429215)Refutation not found, incomplete strategy
% 4.08/1.54  % (2429215)------------------------------
% 4.08/1.54  % (2429215)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.08/1.54  % (2429215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.08/1.54  % (2429215)CaDiCaL version: 2.1.3
% 4.08/1.54  % (2429215)Termination reason: Refutation not found, incomplete strategy
% 4.08/1.54  % (2429215)Time elapsed: 0.002 s
% 4.08/1.54  % (2429215)Peak memory usage: 87 MB
% 4.08/1.54  % (2429214)Instruction limit reached! 
% 4.08/1.54  % (2429214)------------------------------
% 4.08/1.54  % (2429214)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.08/1.54  % (2429214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.08/1.54  % (2429214)CaDiCaL version: 2.1.3
% 4.08/1.54  % (2429214)Termination reason: Instruction limit
% 4.08/1.54  % (2429214)Termination phase: Saturation
% 4.08/1.54  % (2429214)Time elapsed: 0.071 s
% 4.08/1.54  % (2429214)Peak memory usage: 87 MB
% 4.08/1.54  % (2429214)Instructions burned: 110 (million)
% 4.08/1.54  % (2429216)Refutation found. Thanks to Tanya!
% 4.08/1.54  % SZS status Theorem for theBenchmark
% 4.08/1.54  % SZS output start Proof for theBenchmark
% See solution above
% 4.08/1.54  % (2429216)------------------------------
% 4.08/1.54  % (2429216)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.08/1.54  % (2429216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.08/1.54  % (2429216)CaDiCaL version: 2.1.3
% 4.08/1.54  % (2429216)Termination reason: Refutation
% 4.08/1.54  % (2429216)Time elapsed: 0.007 s
% 4.08/1.54  % (2429216)Peak memory usage: 88 MB
% 4.08/1.54  % (2429216)Instructions burned: 10 (million)
% 4.08/1.54  % (2429216)------------------------------
% 4.08/1.54  % (2429216)------------------------------
% 4.08/1.54  % (2429204)Success in time 0.466 s
% 4.08/1.54  % Vampire exiting
%------------------------------------------------------------------------------