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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : CSR071+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n001.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 09:44:55 AM UTC 2026

% Result   : Theorem 0.30s 0.40s
% Output   : Refutation 0.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   49 (  16 unt;   4 def)
%            Number of atoms       :   94 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   83 (  38   ~;  32   |;   3   &)
%                                         (   4 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   5 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-1 aty)
%            Number of variables   :   18 (   0 sgn  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [X0] :
      ( navypersonnel(X0)
     => militaryperson(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just2) ).

fof(f9,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member698_mt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just9) ).

fof(f10,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member1672_mt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just10) ).

fof(f13,axiom,
    ! [X0] :
      ( ( mtvisible(c_tptp_member698_mt)
        & militaryperson(X0) )
     => tptpofobject(X0,f_tptpquantityfn_6(n_414)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just13) ).

fof(f15,axiom,
    ( mtvisible(c_tptp_member1672_mt)
   => navypersonnel(c_tptpnavypersonnel_3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just15) ).

fof(f50,axiom,
    ! [X0,X1] :
      ( ( mtvisible(X0)
        & genlmt(X0,X1) )
     => mtvisible(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just50) ).

fof(f72,conjecture,
    ( mtvisible(c_tptp_spindlecollectormt)
   => tptpofobject(c_tptpnavypersonnel_3,f_tptpquantityfn_6(n_414)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query71) ).

fof(f73,negated_conjecture,
    ~ ( mtvisible(c_tptp_spindlecollectormt)
     => tptpofobject(c_tptpnavypersonnel_3,f_tptpquantityfn_6(n_414)) ),
    inference(negated_conjecture,[status(cth)],[f72]) ).

fof(f85,plain,
    ! [X0] :
      ( militaryperson(X0)
      | ~ navypersonnel(X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f86,plain,
    ! [X0] :
      ( tptpofobject(X0,f_tptpquantityfn_6(n_414))
      | ~ mtvisible(c_tptp_member698_mt)
      | ~ militaryperson(X0) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f87,plain,
    ! [X0] :
      ( tptpofobject(X0,f_tptpquantityfn_6(n_414))
      | ~ mtvisible(c_tptp_member698_mt)
      | ~ militaryperson(X0) ),
    inference(flattening,[],[f86]) ).

fof(f89,plain,
    ( navypersonnel(c_tptpnavypersonnel_3)
    | ~ mtvisible(c_tptp_member1672_mt) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f119,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ mtvisible(X0)
      | ~ genlmt(X0,X1) ),
    inference(ennf_transformation,[],[f50]) ).

fof(f120,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ mtvisible(X0)
      | ~ genlmt(X0,X1) ),
    inference(flattening,[],[f119]) ).

fof(f145,plain,
    ( ~ tptpofobject(c_tptpnavypersonnel_3,f_tptpquantityfn_6(n_414))
    & mtvisible(c_tptp_spindlecollectormt) ),
    inference(ennf_transformation,[],[f73]) ).

fof(f147,plain,
    ! [X0] :
      ( ~ navypersonnel(X0)
      | militaryperson(X0) ),
    inference(cnf_transformation,[],[f85]) ).

fof(f154,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member698_mt),
    inference(cnf_transformation,[],[f9]) ).

fof(f155,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member1672_mt),
    inference(cnf_transformation,[],[f10]) ).

fof(f158,plain,
    ! [X0] :
      ( ~ militaryperson(X0)
      | ~ mtvisible(c_tptp_member698_mt)
      | tptpofobject(X0,f_tptpquantityfn_6(n_414)) ),
    inference(cnf_transformation,[],[f87]) ).

fof(f160,plain,
    ( ~ mtvisible(c_tptp_member1672_mt)
    | navypersonnel(c_tptpnavypersonnel_3) ),
    inference(cnf_transformation,[],[f89]) ).

fof(f184,plain,
    ! [X0,X1] :
      ( ~ mtvisible(X0)
      | ~ genlmt(X0,X1)
      | mtvisible(X1) ),
    inference(cnf_transformation,[],[f120]) ).

fof(f206,plain,
    mtvisible(c_tptp_spindlecollectormt),
    inference(cnf_transformation,[],[f145]) ).

fof(f207,plain,
    ~ tptpofobject(c_tptpnavypersonnel_3,f_tptpquantityfn_6(n_414)),
    inference(cnf_transformation,[],[f145]) ).

fof(f217,definition,
    ( spl0_1
  <=> navypersonnel(c_tptpnavypersonnel_3) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f219,plain,
    ( navypersonnel(c_tptpnavypersonnel_3)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f217]) ).

fof(f221,definition,
    ( spl0_2
  <=> mtvisible(c_tptp_member1672_mt) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f224,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f160,f221,f217]) ).

fof(f230,definition,
    ( spl0_4
  <=> mtvisible(c_tptp_member698_mt) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f235,definition,
    ( spl0_5
  <=> ! [X0] :
        ( ~ militaryperson(X0)
        | tptpofobject(X0,f_tptpquantityfn_6(n_414)) ) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f236,plain,
    ( ! [X0] :
        ( ~ militaryperson(X0)
        | tptpofobject(X0,f_tptpquantityfn_6(n_414)) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f235]) ).

fof(f237,plain,
    ( ~ spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f158,f235,f230]) ).

fof(f286,plain,
    ! [X0] :
      ( ~ genlmt(c_tptp_spindlecollectormt,X0)
      | mtvisible(X0) ),
    inference(resolution,[],[f184,f206]) ).

fof(f290,plain,
    mtvisible(c_tptp_member698_mt),
    inference(resolution,[],[f286,f154]) ).

fof(f291,plain,
    mtvisible(c_tptp_member1672_mt),
    inference(resolution,[],[f286,f155]) ).

fof(f297,plain,
    spl0_4,
    inference(avatar_split_clause,[],[f290,f230]) ).

fof(f298,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f291,f221]) ).

fof(f300,plain,
    ( militaryperson(c_tptpnavypersonnel_3)
    | ~ spl0_1 ),
    inference(resolution,[],[f219,f147]) ).

fof(f325,plain,
    ( tptpofobject(c_tptpnavypersonnel_3,f_tptpquantityfn_6(n_414))
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(resolution,[],[f300,f236]) ).

fof(f327,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[],[f325,f207]) ).

fof(f328,plain,
    ( ~ spl0_1
    | ~ spl0_5 ),
    inference(avatar_contradiction_clause,[],[f327]) ).

cnf(s1,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(sat_conversion,[],[f224]) ).

cnf(s3,plain,
    ( ~ spl0_4
    | spl0_5 ),
    inference(sat_conversion,[],[f237]) ).

cnf(s8,plain,
    spl0_4,
    inference(sat_conversion,[],[f297]) ).

cnf(s9,plain,
    spl0_2,
    inference(sat_conversion,[],[f298]) ).

cnf(s10,plain,
    ( ~ spl0_1
    | ~ spl0_5 ),
    inference(sat_conversion,[],[f328]) ).

cnf(s12,plain,
    spl0_5,
    inference(rat,[],[s3,s8]) ).

cnf(s13,plain,
    ~ spl0_1,
    inference(rat,[],[s10,s12]) ).

cnf(s15,plain,
    $false,
    inference(rat,[],[s1,s9,s13]) ).

fof(f329,plain,
    $false,
    inference(avatar_sat_refutation,[],[s15]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : CSR071+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.09  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.30  % Computer : n001.cluster.edu
% 0.11/0.30  % Model    : x86_64 x86_64
% 0.11/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30  % Memory   : 8046.5625MB
% 0.11/0.30  % OS       : Linux 6.8.0-71-generic
% 0.11/0.30  % CPULimit : 300
% 0.11/0.30  % WCLimit  : 300
% 0.11/0.30  % DateTime : Mon Sep 28 22:30:19 UTC 2026
% 0.11/0.30  % CPUTime  : 
% 0.11/0.30  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.30/0.34  Running first-order model finding
% 0.30/0.34  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.30/0.40  % (822476)Will run a generic schedule for satisfiability detection.
% 0.30/0.40  % (822482)% WARNING: option uhcvi not known.
% 0.30/0.40  % (822482)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3201227147:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.30/0.40  % (822482) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-822476-822482"...
% 0.30/0.40  % (822482)...printing done.
% 0.30/0.40  % (822482)Refutation found. Thanks to Tanya!
% 0.30/0.40  % SZS status Theorem for theBenchmark
% 0.30/0.40  % SZS output start Proof for theBenchmark
% See solution above
% 0.30/0.40  % (822482)------------------------------
% 0.30/0.40  % (822482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.30/0.40  % (822482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/0.40  % (822482)CaDiCaL version: 2.1.3
% 0.30/0.40  % (822482)Termination reason: Refutation
% 0.30/0.40  % (822482)Time elapsed: 0.004 s
% 0.30/0.40  % (822482)Peak memory usage: 12 MB
% 0.30/0.40  % (822482)Instructions burned: 4 (million)
% 0.30/0.40  % (822476)Success in time 0.041 s
% 0.30/0.40  % Vampire exiting
%------------------------------------------------------------------------------