%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : CSR031+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n026.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 21:56:43 EDT 2022

% Result   : Theorem 0.78s 0.95s
% Output   : CNFRefutation 0.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   22 (  11 unt;   0 def)
%            Number of atoms       :   33 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   30 (  19   ~;   9   |;   1   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   14 (   1 sgn  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ax1_289,axiom,
    ! [OBJ] :
      ~ ( collection(OBJ)
        & individual(OBJ) ) ).

fof(ax1_447,axiom,
    individual(c_tptptptpcol_16_8398) ).

fof(ax1_1119,axiom,
    ! [INS,ARG2] :
      ( disjointwith(INS,ARG2)
     => collection(INS) ) ).

fof(query81,conjecture,
    ~ disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488) ).

fof(subgoal_0,plain,
    ~ disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
    inference(strip,[],[query81]) ).

fof(negate_0_0,plain,
    ~ ~ disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_1,plain,
    ! [INS] :
      ( collection(INS)
      | ! [ARG2] : ~ disjointwith(INS,ARG2) ),
    inference(canonicalize,[],[ax1_1119]) ).

fof(normalize_0_2,plain,
    ! [INS] :
      ( collection(INS)
      | ! [ARG2] : ~ disjointwith(INS,ARG2) ),
    inference(specialize,[],[normalize_0_1]) ).

fof(normalize_0_3,plain,
    ! [ARG2,INS] :
      ( ~ disjointwith(INS,ARG2)
      | collection(INS) ),
    inference(clausify,[],[normalize_0_2]) ).

fof(normalize_0_4,plain,
    individual(c_tptptptpcol_16_8398),
    inference(canonicalize,[],[ax1_447]) ).

fof(normalize_0_5,plain,
    ! [OBJ] :
      ( ~ collection(OBJ)
      | ~ individual(OBJ) ),
    inference(canonicalize,[],[ax1_289]) ).

fof(normalize_0_6,plain,
    ! [OBJ] :
      ( ~ collection(OBJ)
      | ~ individual(OBJ) ),
    inference(specialize,[],[normalize_0_5]) ).

cnf(refute_0_0,plain,
    disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
    inference(canonicalize,[],[normalize_0_0]) ).

cnf(refute_0_1,plain,
    ( ~ disjointwith(INS,ARG2)
    | collection(INS) ),
    inference(canonicalize,[],[normalize_0_3]) ).

cnf(refute_0_2,plain,
    ( ~ disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488)
    | collection(c_tptptptpcol_16_8398) ),
    inference(subst,[],[refute_0_1:[bind(ARG2,$fot(c_tptpcol_16_18488)),bind(INS,$fot(c_tptptptpcol_16_8398))]]) ).

cnf(refute_0_3,plain,
    collection(c_tptptptpcol_16_8398),
    inference(resolve,[$cnf( disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488) )],[refute_0_0,refute_0_2]) ).

cnf(refute_0_4,plain,
    individual(c_tptptptpcol_16_8398),
    inference(canonicalize,[],[normalize_0_4]) ).

cnf(refute_0_5,plain,
    ( ~ collection(OBJ)
    | ~ individual(OBJ) ),
    inference(canonicalize,[],[normalize_0_6]) ).

cnf(refute_0_6,plain,
    ( ~ collection(c_tptptptpcol_16_8398)
    | ~ individual(c_tptptptpcol_16_8398) ),
    inference(subst,[],[refute_0_5:[bind(OBJ,$fot(c_tptptptpcol_16_8398))]]) ).

cnf(refute_0_7,plain,
    ~ collection(c_tptptptpcol_16_8398),
    inference(resolve,[$cnf( individual(c_tptptptpcol_16_8398) )],[refute_0_4,refute_0_6]) ).

cnf(refute_0_8,plain,
    $false,
    inference(resolve,[$cnf( collection(c_tptptptpcol_16_8398) )],[refute_0_3,refute_0_7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : CSR031+2 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n026.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 : Fri Jun 10 00:46:18 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.78/0.95  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.78/0.95  
% 0.78/0.95  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.78/0.95  
%------------------------------------------------------------------------------