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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : CSR043+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 : n006.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 09:42:14 AM UTC 2026

% Result   : Theorem 4.34s 1.49s
% Output   : Refutation 4.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    7 (   4 unt;   0 def)
%            Number of atoms       :   10 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    6 (   3   ~;   0   |;   1   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f6,axiom,
    genls(c_tptpcol_16_30972,c_tptpcol_15_30970),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just6) ).

fof(f58,conjecture,
    ( mtvisible(c_tptp_member2862_mt)
   => genls(c_tptpcol_16_30972,c_tptpcol_15_30970) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query43) ).

fof(f59,negated_conjecture,
    ~ ( mtvisible(c_tptp_member2862_mt)
     => genls(c_tptpcol_16_30972,c_tptpcol_15_30970) ),
    inference(negated_conjecture,[status(cth)],[f58]) ).

fof(f119,plain,
    ( ~ genls(c_tptpcol_16_30972,c_tptpcol_15_30970)
    & mtvisible(c_tptp_member2862_mt) ),
    inference(ennf_transformation,[],[f59]) ).

fof(f125,plain,
    genls(c_tptpcol_16_30972,c_tptpcol_15_30970),
    inference(cnf_transformation,[],[f6]) ).

fof(f174,plain,
    ~ genls(c_tptpcol_16_30972,c_tptpcol_15_30970),
    inference(cnf_transformation,[],[f119]) ).

fof(f175,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f125,f174]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : CSR043+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.09  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.29  % Computer : n006.cluster.edu
% 0.12/0.29  % Model    : x86_64 x86_64
% 0.12/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.29  % Memory   : 8046.5625MB
% 0.12/0.29  % OS       : Linux 6.8.0-71-generic
% 0.12/0.29  % CPULimit : 300
% 0.12/0.29  % WCLimit  : 300
% 0.12/0.29  % DateTime : Mon Sep 28 22:15:40 UTC 2026
% 0.12/0.30  % CPUTime  : 
% 0.12/0.30  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.31/0.35  Running first-order theorem proving
% 0.31/0.35  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
% 4.34/1.49  % (271141)Detected formulas, will run a generic FOF schedule.
% 4.34/1.49  % (271151)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3441034636:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.34/1.49  % (271151)First to succeed.
% 4.34/1.49  % (271151)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-271141"
% 4.34/1.49  % (271150)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=709263294:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.34/1.49  % (271147)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=763296244:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.34/1.49  % (271149)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=586487947:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.34/1.49  % (271146)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=1688948726:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.34/1.49  % (271152)dis-21_1_sil=8000:lcm=predicate:random_seed=1385244463: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)
% 4.34/1.49  % (271148)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=3755165623:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.34/1.49  % (271150)Also succeeded, but the first one will report.
% 4.34/1.49  % (271149)Also succeeded, but the first one will report.
% 4.34/1.49  % (271152)Also succeeded, but the first one will report.
% 4.34/1.49  % (271151)Refutation found. Thanks to Tanya!
% 4.34/1.49  % SZS status Theorem for theBenchmark
% 4.34/1.49  % SZS output start Proof for theBenchmark
% See solution above
% 4.34/1.49  % (271151)------------------------------
% 4.34/1.49  % (271151)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.34/1.49  % (271151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.49  % (271151)CaDiCaL version: 2.1.3
% 4.34/1.49  % (271151)Termination reason: Refutation
% 4.34/1.49  % (271151)Time elapsed: 0.002 s
% 4.34/1.49  % (271151)Peak memory usage: 88 MB
% 4.34/1.49  % (271151)Instructions burned: 1 (million)
% 4.34/1.49  % (271151)------------------------------
% 4.34/1.49  % (271151)------------------------------
% 4.34/1.49  % (271141)Success in time 0.531 s
% 4.34/1.49  % Vampire exiting
%------------------------------------------------------------------------------