%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : CSR035+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Fri Jul 15 21:56:47 EDT 2022

% Result   : Theorem 0.18s 0.35s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   15 (   8 unt;   0 def)
%            Number of atoms       :   22 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   15 (   8   ~;   2   |;   1   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 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   :    7 (   1 sgn   3   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(just1,axiom,
    ( mtvisible(c_englishmt)
   => prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege) ) ).

fof(query35,conjecture,
    ? [X] :
      ( mtvisible(c_englishmt)
     => prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),X) ) ).

fof(subgoal_0,plain,
    ? [X] :
      ( mtvisible(c_englishmt)
     => prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),X) ),
    inference(strip,[],[query35]) ).

fof(negate_0_0,plain,
    ~ ? [X] :
        ( mtvisible(c_englishmt)
       => prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),X) ),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    ( ~ mtvisible(c_englishmt)
    | prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege) ),
    inference(canonicalize,[],[just1]) ).

fof(normalize_0_1,plain,
    ( mtvisible(c_englishmt)
    & ! [X] : ~ prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),X) ),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_2,plain,
    mtvisible(c_englishmt),
    inference(conjunct,[],[normalize_0_1]) ).

fof(normalize_0_3,plain,
    ! [X] : ~ prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),X),
    inference(conjunct,[],[normalize_0_1]) ).

fof(normalize_0_4,plain,
    ! [X] : ~ prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),X),
    inference(specialize,[],[normalize_0_3]) ).

cnf(refute_0_0,plain,
    ( ~ mtvisible(c_englishmt)
    | prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege) ),
    inference(canonicalize,[],[normalize_0_0]) ).

cnf(refute_0_1,plain,
    mtvisible(c_englishmt),
    inference(canonicalize,[],[normalize_0_2]) ).

cnf(refute_0_2,plain,
    prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege),
    inference(resolve,[$cnf( mtvisible(c_englishmt) )],[refute_0_1,refute_0_0]) ).

cnf(refute_0_3,plain,
    ~ prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),X),
    inference(canonicalize,[],[normalize_0_4]) ).

cnf(refute_0_4,plain,
    ~ prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege),
    inference(subst,[],[refute_0_3:[bind(X,$fot(s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege))]]) ).

cnf(refute_0_5,plain,
    $false,
    inference(resolve,[$cnf( prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege) )],[refute_0_2,refute_0_4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : CSR035+1 : TPTP v8.1.0. Released v3.4.0.
% 0.00/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n015.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat Jun 11 02:21:20 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.18/0.35  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.35  
% 0.18/0.35  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.18/0.35  
%------------------------------------------------------------------------------