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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : CSR035+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n004.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 09:44:29 AM UTC 2026

% Result   : Theorem 0.21s 0.29s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   10 (   4 unt;   0 def)
%            Number of atoms       :   16 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   11 (   5   ~;   2   |;   1   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-3 aty)
%            Number of variables   :    4 (   2   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f452,axiom,
    ( mtvisible(c_englishmt)
   => prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_452) ).

fof(f1132,conjecture,
    ? [X0] :
      ( mtvisible(c_englishmt)
     => prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query85) ).

fof(f1133,negated_conjecture,
    ~ ? [X0] :
        ( mtvisible(c_englishmt)
       => prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),X0) ),
    inference(negated_conjecture,[status(cth)],[f1132]) ).

fof(f1439,plain,
    ( prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege)
    | ~ mtvisible(c_englishmt) ),
    inference(ennf_transformation,[],[f452]) ).

fof(f2022,plain,
    ! [X0] :
      ( ~ prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),X0)
      & mtvisible(c_englishmt) ),
    inference(ennf_transformation,[],[f1133]) ).

fof(f2472,plain,
    ( ~ mtvisible(c_englishmt)
    | prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege) ),
    inference(cnf_transformation,[],[f1439]) ).

fof(f3062,plain,
    mtvisible(c_englishmt),
    inference(cnf_transformation,[],[f2022]) ).

fof(f3063,plain,
    ! [X0] : ~ prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),X0),
    inference(cnf_transformation,[],[f2022]) ).

fof(f3132,plain,
    prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege),
    inference(forward_subsumption_resolution,[],[f2472,f3062]) ).

fof(f3384,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f3132,f3063]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR035+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.20  % Computer : n004.cluster.edu
% 0.10/0.20  % Model    : x86_64 x86_64
% 0.10/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20  % Memory   : 8046.5625MB
% 0.10/0.20  % OS       : Linux 6.8.0-71-generic
% 0.10/0.20  % CPULimit : 300
% 0.10/0.20  % WCLimit  : 300
% 0.10/0.20  % DateTime : Mon Sep 28 22:12:37 UTC 2026
% 0.10/0.20  % CPUTime  : 
% 0.10/0.20  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.23  Running first-order model finding
% 0.10/0.23  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
% 0.21/0.29  % (845172)Will run a generic schedule for satisfiability detection.
% 0.21/0.29  % (845181)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1610348387:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.29  % (845178)% WARNING: option uhcvi not known.
% 0.21/0.29  % (845178)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1597827028:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.29  % (845177)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3857392774_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.29  % (845179)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2540487851:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.29  % (845180)dis+10_1_sil=32000:sp=arity:random_seed=1393741322:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.29  % (845181) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-845172-845181"...
% 0.21/0.29  % (845183)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=857066539:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.29  % (845181)...printing done.
% 0.21/0.29  % (845181)Refutation found. Thanks to Tanya!
% 0.21/0.29  % SZS status Theorem for theBenchmark
% 0.21/0.29  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.29  % (845181)------------------------------
% 0.21/0.29  % (845181)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.29  % (845181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.29  % (845181)CaDiCaL version: 2.1.3
% 0.21/0.29  % (845181)Termination reason: Refutation
% 0.21/0.29  % (845181)Time elapsed: 0.015 s
% 0.21/0.29  % (845181)Peak memory usage: 14 MB
% 0.21/0.29  % (845181)Instructions burned: 46 (million)
% 0.21/0.29  % (845172)Success in time 0.051 s
% 0.21/0.29  % Vampire exiting
%------------------------------------------------------------------------------