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Metis---2.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : CSR115+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n022.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 21:58:19 EDT 2022

% Result   : Theorem 6.81s 6.97s
% Output   : CNFRefutation 6.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   39 (  16 unt;   0 def)
%            Number of atoms       :  135 (   0 equ)
%            Maximal formula atoms :   32 (   3 avg)
%            Number of connectives :  163 (  67   ~;  56   |;  38   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-3 aty)
%            Number of variables   :   74 (  12 sgn  33   !;  18   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(sub__bezeichnen_1_1_als,axiom,
    ! [X0,X1,X2] :
      ( ( arg1(X0,X1)
        & arg2(X0,X2)
        & subr(X0,sub_0) )
     => ? [X3,X4,X5] :
          ( arg1(X4,X1)
          & arg2(X4,X5)
          & hsit(X0,X3)
          & mcont(X3,X4)
          & obj(X3,X1)
          & sub(X5,X2)
          & subr(X4,rprs_0)
          & subs(X3,bezeichnen_1_1) ) ) ).

fof(sub__sub_0_expansion,axiom,
    ! [X0,X1] :
      ( sub(X0,X1)
     => ? [X2] :
          ( arg1(X2,X0)
          & arg2(X2,X1)
          & subr(X2,sub_0) ) ) ).

fof(fact_9010,axiom,
    sub(absteigerin_1_1,absteiger_1_1) ).

fof(synth_qa07_007_mira_news_1087,conjecture,
    ? [X0,X1] : obj(X1,X0) ).

fof(subgoal_0,plain,
    ? [X0,X1] : obj(X1,X0),
    inference(strip,[],[synth_qa07_007_mira_news_1087]) ).

fof(negate_0_0,plain,
    ~ ? [X0,X1] : obj(X1,X0),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    sub(absteigerin_1_1,absteiger_1_1),
    inference(canonicalize,[],[fact_9010]) ).

fof(normalize_0_1,plain,
    ! [X0,X1] :
      ( ~ sub(X0,X1)
      | ? [X2] :
          ( arg1(X2,X0)
          & arg2(X2,X1)
          & subr(X2,sub_0) ) ),
    inference(canonicalize,[],[sub__sub_0_expansion]) ).

fof(normalize_0_2,plain,
    ! [X0,X1] :
      ( ~ sub(X0,X1)
      | ? [X2] :
          ( arg1(X2,X0)
          & arg2(X2,X1)
          & subr(X2,sub_0) ) ),
    inference(specialize,[],[normalize_0_1]) ).

fof(normalize_0_3,plain,
    ! [X0,X1] :
      ( ( ~ sub(X0,X1)
        | arg1(skolemFOFtoCNF_X2_9(X0,X1),X0) )
      & ( ~ sub(X0,X1)
        | arg2(skolemFOFtoCNF_X2_9(X0,X1),X1) )
      & ( ~ sub(X0,X1)
        | subr(skolemFOFtoCNF_X2_9(X0,X1),sub_0) ) ),
    inference(clausify,[],[normalize_0_2]) ).

fof(normalize_0_4,plain,
    ! [X0,X1] :
      ( ~ sub(X0,X1)
      | arg1(skolemFOFtoCNF_X2_9(X0,X1),X0) ),
    inference(conjunct,[],[normalize_0_3]) ).

fof(normalize_0_5,plain,
    ! [X0,X1] :
      ( ~ sub(X0,X1)
      | arg2(skolemFOFtoCNF_X2_9(X0,X1),X1) ),
    inference(conjunct,[],[normalize_0_3]) ).

fof(normalize_0_6,plain,
    ! [X0,X1] :
      ( ~ sub(X0,X1)
      | subr(skolemFOFtoCNF_X2_9(X0,X1),sub_0) ),
    inference(conjunct,[],[normalize_0_3]) ).

fof(normalize_0_7,plain,
    ! [X0,X1,X2] :
      ( ~ arg1(X0,X1)
      | ~ arg2(X0,X2)
      | ~ subr(X0,sub_0)
      | ? [X3,X4,X5] :
          ( arg1(X4,X1)
          & arg2(X4,X5)
          & hsit(X0,X3)
          & mcont(X3,X4)
          & obj(X3,X1)
          & sub(X5,X2)
          & subr(X4,rprs_0)
          & subs(X3,bezeichnen_1_1) ) ),
    inference(canonicalize,[],[sub__bezeichnen_1_1_als]) ).

fof(normalize_0_8,plain,
    ! [X0,X1,X2] :
      ( ~ arg1(X0,X1)
      | ~ arg2(X0,X2)
      | ~ subr(X0,sub_0)
      | ? [X3,X4,X5] :
          ( arg1(X4,X1)
          & arg2(X4,X5)
          & hsit(X0,X3)
          & mcont(X3,X4)
          & obj(X3,X1)
          & sub(X5,X2)
          & subr(X4,rprs_0)
          & subs(X3,bezeichnen_1_1) ) ),
    inference(specialize,[],[normalize_0_7]) ).

fof(normalize_0_9,plain,
    ! [X0,X1,X2] :
      ( ( ~ arg1(X0,X1)
        | ~ arg2(X0,X2)
        | ~ subr(X0,sub_0)
        | arg1(skolemFOFtoCNF_X4_13(X0,X1,X2),X1) )
      & ( ~ arg1(X0,X1)
        | ~ arg2(X0,X2)
        | ~ subr(X0,sub_0)
        | arg2(skolemFOFtoCNF_X4_13(X0,X1,X2),skolemFOFtoCNF_X5_7(X0,X1,X2)) )
      & ( ~ arg1(X0,X1)
        | ~ arg2(X0,X2)
        | ~ subr(X0,sub_0)
        | hsit(X0,skolemFOFtoCNF_X3_25(X0,X1,X2)) )
      & ( ~ arg1(X0,X1)
        | ~ arg2(X0,X2)
        | ~ subr(X0,sub_0)
        | mcont(skolemFOFtoCNF_X3_25(X0,X1,X2),skolemFOFtoCNF_X4_13(X0,X1,X2)) )
      & ( ~ arg1(X0,X1)
        | ~ arg2(X0,X2)
        | ~ subr(X0,sub_0)
        | obj(skolemFOFtoCNF_X3_25(X0,X1,X2),X1) )
      & ( ~ arg1(X0,X1)
        | ~ arg2(X0,X2)
        | ~ subr(X0,sub_0)
        | sub(skolemFOFtoCNF_X5_7(X0,X1,X2),X2) )
      & ( ~ arg1(X0,X1)
        | ~ arg2(X0,X2)
        | ~ subr(X0,sub_0)
        | subr(skolemFOFtoCNF_X4_13(X0,X1,X2),rprs_0) )
      & ( ~ arg1(X0,X1)
        | ~ arg2(X0,X2)
        | ~ subr(X0,sub_0)
        | subs(skolemFOFtoCNF_X3_25(X0,X1,X2),bezeichnen_1_1) ) ),
    inference(clausify,[],[normalize_0_8]) ).

fof(normalize_0_10,plain,
    ! [X0,X1,X2] :
      ( ~ arg1(X0,X1)
      | ~ arg2(X0,X2)
      | ~ subr(X0,sub_0)
      | obj(skolemFOFtoCNF_X3_25(X0,X1,X2),X1) ),
    inference(conjunct,[],[normalize_0_9]) ).

fof(normalize_0_11,plain,
    ! [X0,X1] : ~ obj(X1,X0),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_12,plain,
    ! [X0,X1] : ~ obj(X1,X0),
    inference(specialize,[],[normalize_0_11]) ).

cnf(refute_0_0,plain,
    sub(absteigerin_1_1,absteiger_1_1),
    inference(canonicalize,[],[normalize_0_0]) ).

cnf(refute_0_1,plain,
    ( ~ sub(X0,X1)
    | arg1(skolemFOFtoCNF_X2_9(X0,X1),X0) ),
    inference(canonicalize,[],[normalize_0_4]) ).

cnf(refute_0_2,plain,
    ( ~ sub(absteigerin_1_1,absteiger_1_1)
    | arg1(skolemFOFtoCNF_X2_9(absteigerin_1_1,absteiger_1_1),absteigerin_1_1) ),
    inference(subst,[],[refute_0_1:[bind(X0,$fot(absteigerin_1_1)),bind(X1,$fot(absteiger_1_1))]]) ).

cnf(refute_0_3,plain,
    arg1(skolemFOFtoCNF_X2_9(absteigerin_1_1,absteiger_1_1),absteigerin_1_1),
    inference(resolve,[$cnf( sub(absteigerin_1_1,absteiger_1_1) )],[refute_0_0,refute_0_2]) ).

cnf(refute_0_4,plain,
    ( ~ sub(X0,X1)
    | arg2(skolemFOFtoCNF_X2_9(X0,X1),X1) ),
    inference(canonicalize,[],[normalize_0_5]) ).

cnf(refute_0_5,plain,
    ( ~ sub(absteigerin_1_1,absteiger_1_1)
    | arg2(skolemFOFtoCNF_X2_9(absteigerin_1_1,absteiger_1_1),absteiger_1_1) ),
    inference(subst,[],[refute_0_4:[bind(X0,$fot(absteigerin_1_1)),bind(X1,$fot(absteiger_1_1))]]) ).

cnf(refute_0_6,plain,
    arg2(skolemFOFtoCNF_X2_9(absteigerin_1_1,absteiger_1_1),absteiger_1_1),
    inference(resolve,[$cnf( sub(absteigerin_1_1,absteiger_1_1) )],[refute_0_0,refute_0_5]) ).

cnf(refute_0_7,plain,
    ( ~ sub(X0,X1)
    | subr(skolemFOFtoCNF_X2_9(X0,X1),sub_0) ),
    inference(canonicalize,[],[normalize_0_6]) ).

cnf(refute_0_8,plain,
    ( ~ sub(absteigerin_1_1,absteiger_1_1)
    | subr(skolemFOFtoCNF_X2_9(absteigerin_1_1,absteiger_1_1),sub_0) ),
    inference(subst,[],[refute_0_7:[bind(X0,$fot(absteigerin_1_1)),bind(X1,$fot(absteiger_1_1))]]) ).

cnf(refute_0_9,plain,
    subr(skolemFOFtoCNF_X2_9(absteigerin_1_1,absteiger_1_1),sub_0),
    inference(resolve,[$cnf( sub(absteigerin_1_1,absteiger_1_1) )],[refute_0_0,refute_0_8]) ).

cnf(refute_0_10,plain,
    ( ~ arg1(X0,X1)
    | ~ arg2(X0,X2)
    | ~ subr(X0,sub_0)
    | obj(skolemFOFtoCNF_X3_25(X0,X1,X2),X1) ),
    inference(canonicalize,[],[normalize_0_10]) ).

cnf(refute_0_11,plain,
    ~ obj(X1,X0),
    inference(canonicalize,[],[normalize_0_12]) ).

cnf(refute_0_12,plain,
    ~ obj(skolemFOFtoCNF_X3_25(X0,X1,X2),X1),
    inference(subst,[],[refute_0_11:[bind(X0,$fot(X1)),bind(X1,$fot(skolemFOFtoCNF_X3_25(X0,X1,X2)))]]) ).

cnf(refute_0_13,plain,
    ( ~ arg1(X0,X1)
    | ~ arg2(X0,X2)
    | ~ subr(X0,sub_0) ),
    inference(resolve,[$cnf( obj(skolemFOFtoCNF_X3_25(X0,X1,X2),X1) )],[refute_0_10,refute_0_12]) ).

cnf(refute_0_14,plain,
    ( ~ arg1(skolemFOFtoCNF_X2_9(absteigerin_1_1,absteiger_1_1),X_42385)
    | ~ arg2(skolemFOFtoCNF_X2_9(absteigerin_1_1,absteiger_1_1),X_42386)
    | ~ subr(skolemFOFtoCNF_X2_9(absteigerin_1_1,absteiger_1_1),sub_0) ),
    inference(subst,[],[refute_0_13:[bind(X0,$fot(skolemFOFtoCNF_X2_9(absteigerin_1_1,absteiger_1_1))),bind(X1,$fot(X_42385)),bind(X2,$fot(X_42386))]]) ).

cnf(refute_0_15,plain,
    ( ~ arg1(skolemFOFtoCNF_X2_9(absteigerin_1_1,absteiger_1_1),X_42385)
    | ~ arg2(skolemFOFtoCNF_X2_9(absteigerin_1_1,absteiger_1_1),X_42386) ),
    inference(resolve,[$cnf( subr(skolemFOFtoCNF_X2_9(absteigerin_1_1,absteiger_1_1),sub_0) )],[refute_0_9,refute_0_14]) ).

cnf(refute_0_16,plain,
    ( ~ arg1(skolemFOFtoCNF_X2_9(absteigerin_1_1,absteiger_1_1),X_42387)
    | ~ arg2(skolemFOFtoCNF_X2_9(absteigerin_1_1,absteiger_1_1),absteiger_1_1) ),
    inference(subst,[],[refute_0_15:[bind(X_42385,$fot(X_42387)),bind(X_42386,$fot(absteiger_1_1))]]) ).

cnf(refute_0_17,plain,
    ~ arg1(skolemFOFtoCNF_X2_9(absteigerin_1_1,absteiger_1_1),X_42387),
    inference(resolve,[$cnf( arg2(skolemFOFtoCNF_X2_9(absteigerin_1_1,absteiger_1_1),absteiger_1_1) )],[refute_0_6,refute_0_16]) ).

cnf(refute_0_18,plain,
    ~ arg1(skolemFOFtoCNF_X2_9(absteigerin_1_1,absteiger_1_1),absteigerin_1_1),
    inference(subst,[],[refute_0_17:[bind(X_42387,$fot(absteigerin_1_1))]]) ).

cnf(refute_0_19,plain,
    $false,
    inference(resolve,[$cnf( arg1(skolemFOFtoCNF_X2_9(absteigerin_1_1,absteiger_1_1),absteigerin_1_1) )],[refute_0_3,refute_0_18]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : CSR115+4 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.14  % Command  : metis --show proof --show saturation %s
% 0.14/0.35  % Computer : n022.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Sat Jun 11 12:47:19 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.14/0.36  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 6.81/6.97  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.81/6.97  
% 6.81/6.97  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.81/6.98  
%------------------------------------------------------------------------------