%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : CSR055+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n018.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 21:57:12 EDT 2022

% Result   : Theorem 10.49s 10.68s
% Output   : CNFRefutation 10.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   24 (  12 unt;   0 def)
%            Number of atoms       :   36 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   32 (  20   ~;   9   |;   2   &)
%                                         (   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   :   15 (   1 sgn  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ax2_185,axiom,
    individual(c_xskijump_thegame) ).

fof(ax2_3089,axiom,
    ! [OBJ] :
      ~ ( collection(OBJ)
        & individual(OBJ) ) ).

fof(ax2_3226,axiom,
    ! [OBJ] :
      ~ ( collection(OBJ)
        & individual(OBJ) ) ).

fof(ax2_3600,axiom,
    individual(c_xskijump_thegame) ).

fof(ax2_7583,axiom,
    ! [INS,ARG2] :
      ( disjointwith(INS,ARG2)
     => collection(INS) ) ).

fof(query155,conjecture,
    ~ disjointwith(c_xskijump_thegame,c_tptpcol_16_35301) ).

fof(subgoal_0,plain,
    ~ disjointwith(c_xskijump_thegame,c_tptpcol_16_35301),
    inference(strip,[],[query155]) ).

fof(negate_0_0,plain,
    ~ ~ disjointwith(c_xskijump_thegame,c_tptpcol_16_35301),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    disjointwith(c_xskijump_thegame,c_tptpcol_16_35301),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_1,plain,
    ! [INS] :
      ( collection(INS)
      | ! [ARG2] : ~ disjointwith(INS,ARG2) ),
    inference(canonicalize,[],[ax2_7583]) ).

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_xskijump_thegame),
    inference(canonicalize,[],[ax2_3600]) ).

fof(normalize_0_5,plain,
    ! [OBJ] :
      ( ~ collection(OBJ)
      | ~ individual(OBJ) ),
    inference(canonicalize,[],[ax2_3226]) ).

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

cnf(refute_0_0,plain,
    disjointwith(c_xskijump_thegame,c_tptpcol_16_35301),
    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_xskijump_thegame,c_tptpcol_16_35301)
    | collection(c_xskijump_thegame) ),
    inference(subst,[],[refute_0_1:[bind(ARG2,$fot(c_tptpcol_16_35301)),bind(INS,$fot(c_xskijump_thegame))]]) ).

cnf(refute_0_3,plain,
    collection(c_xskijump_thegame),
    inference(resolve,[$cnf( disjointwith(c_xskijump_thegame,c_tptpcol_16_35301) )],[refute_0_0,refute_0_2]) ).

cnf(refute_0_4,plain,
    individual(c_xskijump_thegame),
    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_xskijump_thegame)
    | ~ individual(c_xskijump_thegame) ),
    inference(subst,[],[refute_0_5:[bind(OBJ,$fot(c_xskijump_thegame))]]) ).

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

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : CSR055+3 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.34  % Computer : n018.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sat Jun 11 10:32:10 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 10.49/10.68  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.49/10.68  
% 10.49/10.68  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 10.49/10.69  
%------------------------------------------------------------------------------