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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : CSR058+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n026.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 09:42:26 AM UTC 2026

% Result   : Theorem 3.30s 1.13s
% Output   : Refutation 3.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   22 (   8 unt;   2 def)
%            Number of atoms       :   36 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   26 (  12   ~;   8   |;   1   &)
%                                         (   2 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-3 aty)
%            Number of variables   :    4 (   0 sgn   2   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ( mtvisible(c_englishmt)
   => prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroristthathasbeenamemberofaterroristorganization) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just1) ).

fof(f41,conjecture,
    ? [X0] :
      ( mtvisible(c_englishmt)
     => prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query58) ).

fof(f42,negated_conjecture,
    ~ ? [X0] :
        ( mtvisible(c_englishmt)
       => prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),X0) ),
    inference(negated_conjecture,[status(cth)],[f41]) ).

fof(f63,plain,
    ( prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroristthathasbeenamemberofaterroristorganization)
    | ~ mtvisible(c_englishmt) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f86,plain,
    ! [X0] :
      ( ~ prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),X0)
      & mtvisible(c_englishmt) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f87,plain,
    ( prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroristthathasbeenamemberofaterroristorganization)
    | ~ mtvisible(c_englishmt) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f107,plain,
    mtvisible(c_englishmt),
    inference(cnf_transformation,[],[f86]) ).

fof(f108,plain,
    ! [X0] : ~ prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),X0),
    inference(cnf_transformation,[],[f86]) ).

fof(f110,definition,
    ( spl0_1
  <=> mtvisible(c_englishmt) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f111,plain,
    ( ~ mtvisible(c_englishmt)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f110]) ).

fof(f113,definition,
    ( spl0_2
  <=> prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroristthathasbeenamemberofaterroristorganization) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f114,plain,
    ( prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroristthathasbeenamemberofaterroristorganization)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f113]) ).

fof(f115,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f87,f113,f110]) ).

fof(f116,plain,
    ( $false
    | spl0_1 ),
    inference(resolution,[],[f111,f107]) ).

fof(f117,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f116]) ).

fof(f118,plain,
    ( $false
    | ~ spl0_2 ),
    inference(resolution,[],[f108,f114]) ).

fof(f119,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f118]) ).

cnf(s1,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(sat_conversion,[],[f115]) ).

cnf(s2,plain,
    spl0_1,
    inference(sat_conversion,[],[f117]) ).

cnf(s3,plain,
    ~ spl0_2,
    inference(sat_conversion,[],[f119]) ).

cnf(s4,plain,
    $false,
    inference(rat,[],[s1,s3,s2]) ).

fof(f120,plain,
    $false,
    inference(avatar_sat_refutation,[],[s4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR058+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.18  % Computer : n026.cluster.edu
% 0.06/0.18  % Model    : x86_64 x86_64
% 0.06/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.18  % Memory   : 8046.5625MB
% 0.06/0.18  % OS       : Linux 6.8.0-71-generic
% 0.06/0.18  % CPULimit : 300
% 0.06/0.18  % WCLimit  : 300
% 0.06/0.18  % DateTime : Mon Sep 28 22:23:42 UTC 2026
% 0.06/0.19  % CPUTime  : 
% 0.06/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.22  Running first-order theorem proving
% 0.06/0.22  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
% 3.30/1.13  % (157484)Detected formulas, will run a generic FOF schedule.
% 3.30/1.13  % (157489)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=2170339754:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.30/1.13  % (157492)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2995353144:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.30/1.13  % (157492)Refutation not found, incomplete strategy
% 3.30/1.13  % (157492)------------------------------
% 3.30/1.13  % (157492)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.30/1.13  % (157492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.30/1.13  % (157492)CaDiCaL version: 2.1.3
% 3.30/1.13  % (157492)Termination reason: Refutation not found, incomplete strategy
% 3.30/1.13  % (157492)Time elapsed: 0.001 s
% 3.30/1.13  % (157492)Peak memory usage: 87 MB
% 3.30/1.13  % (157491)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=2937729182:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.30/1.13  % (157490)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=313812253:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.30/1.13  % (157493)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3979194431:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.30/1.13  % (157495)dis-21_1_sil=8000:lcm=predicate:random_seed=1846056960: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)
% 3.30/1.13  % (157494)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3959452534:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.30/1.13  % (157493)Refutation not found, incomplete strategy
% 3.30/1.13  % (157493)------------------------------
% 3.30/1.13  % (157493)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.30/1.13  % (157493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.30/1.13  % (157493)CaDiCaL version: 2.1.3
% 3.30/1.13  % (157493)Termination reason: Refutation not found, incomplete strategy
% 3.30/1.13  % (157493)Time elapsed: 0.0000 s
% 3.30/1.13  % (157493)Peak memory usage: 86 MB
% 3.30/1.13  % (157495)First to succeed.
% 3.30/1.13  % (157494)Also succeeded, but the first one will report.
% 3.30/1.13  % (157495)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-157484"
% 3.30/1.13  % (157492)------------------------------
% 3.30/1.13  % (157492)------------------------------
% 3.30/1.13  % (157493)------------------------------
% 3.30/1.13  % (157493)------------------------------
% 3.30/1.13  % (157495)Refutation found. Thanks to Tanya!
% 3.30/1.13  % SZS status Theorem for theBenchmark
% 3.30/1.13  % SZS output start Proof for theBenchmark
% See solution above
% 3.30/1.13  % (157495)------------------------------
% 3.30/1.13  % (157495)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.30/1.13  % (157495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.30/1.13  % (157495)CaDiCaL version: 2.1.3
% 3.30/1.13  % (157495)Termination reason: Refutation
% 3.30/1.13  % (157495)Time elapsed: 0.002 s
% 3.30/1.13  % (157495)Peak memory usage: 89 MB
% 3.30/1.13  % (157495)Instructions burned: 1 (million)
% 3.30/1.13  % (157495)------------------------------
% 3.30/1.13  % (157495)------------------------------
% 3.30/1.13  % (157484)Success in time 0.399 s
% 3.30/1.13  % Vampire exiting
%------------------------------------------------------------------------------