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Metis---2.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : CSR052+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n029.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 21:57:08 EDT 2022

% Result   : Theorem 0.13s 0.40s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   63 (  34 unt;   0 def)
%            Number of atoms       :  103 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   78 (  38   ~;  34   |;   2   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;  11 con; 0-2 aty)
%            Number of variables   :   26 (   0 sgn   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(just8,axiom,
    genls(c_tptpcol_8_39940,c_tptpcol_7_39939) ).

fof(just10,axiom,
    genls(c_tptpcol_9_40196,c_tptpcol_8_39940) ).

fof(just12,axiom,
    genls(c_tptpcol_10_40324,c_tptpcol_9_40196) ).

fof(just14,axiom,
    genls(c_tptpcol_11_40388,c_tptpcol_10_40324) ).

fof(just16,axiom,
    genls(c_tptpcol_12_40420,c_tptpcol_11_40388) ).

fof(just18,axiom,
    genls(c_tptpcol_13_40421,c_tptpcol_12_40420) ).

fof(just20,axiom,
    genls(c_tptpcol_14_40429,c_tptpcol_13_40421) ).

fof(just22,axiom,
    genls(c_tptpcol_15_40430,c_tptpcol_14_40429) ).

fof(just85,axiom,
    ! [X,Y,Z] :
      ( ( genls(X,Y)
        & genls(Y,Z) )
     => genls(X,Z) ) ).

fof(query52,conjecture,
    ( mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_ukencartamsncomencyclopedia_761573010_4united_states_of_americahtml)),c_translation_33))
   => genls(c_tptpcol_15_40430,c_tptpcol_7_39939) ) ).

fof(subgoal_0,plain,
    ( mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_ukencartamsncomencyclopedia_761573010_4united_states_of_americahtml)),c_translation_33))
   => genls(c_tptpcol_15_40430,c_tptpcol_7_39939) ),
    inference(strip,[],[query52]) ).

fof(negate_0_0,plain,
    ~ ( mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_ukencartamsncomencyclopedia_761573010_4united_states_of_americahtml)),c_translation_33))
     => genls(c_tptpcol_15_40430,c_tptpcol_7_39939) ),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    genls(c_tptpcol_9_40196,c_tptpcol_8_39940),
    inference(canonicalize,[],[just10]) ).

fof(normalize_0_1,plain,
    ! [X,Y,Z] :
      ( ~ genls(X,Y)
      | ~ genls(Y,Z)
      | genls(X,Z) ),
    inference(canonicalize,[],[just85]) ).

fof(normalize_0_2,plain,
    ! [X,Y,Z] :
      ( ~ genls(X,Y)
      | ~ genls(Y,Z)
      | genls(X,Z) ),
    inference(specialize,[],[normalize_0_1]) ).

fof(normalize_0_3,plain,
    genls(c_tptpcol_12_40420,c_tptpcol_11_40388),
    inference(canonicalize,[],[just16]) ).

fof(normalize_0_4,plain,
    genls(c_tptpcol_11_40388,c_tptpcol_10_40324),
    inference(canonicalize,[],[just14]) ).

fof(normalize_0_5,plain,
    genls(c_tptpcol_10_40324,c_tptpcol_9_40196),
    inference(canonicalize,[],[just12]) ).

fof(normalize_0_6,plain,
    genls(c_tptpcol_13_40421,c_tptpcol_12_40420),
    inference(canonicalize,[],[just18]) ).

fof(normalize_0_7,plain,
    genls(c_tptpcol_14_40429,c_tptpcol_13_40421),
    inference(canonicalize,[],[just20]) ).

fof(normalize_0_8,plain,
    genls(c_tptpcol_15_40430,c_tptpcol_14_40429),
    inference(canonicalize,[],[just22]) ).

fof(normalize_0_9,plain,
    genls(c_tptpcol_8_39940,c_tptpcol_7_39939),
    inference(canonicalize,[],[just8]) ).

fof(normalize_0_10,plain,
    ( ~ genls(c_tptpcol_15_40430,c_tptpcol_7_39939)
    & mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_ukencartamsncomencyclopedia_761573010_4united_states_of_americahtml)),c_translation_33)) ),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_11,plain,
    ~ genls(c_tptpcol_15_40430,c_tptpcol_7_39939),
    inference(conjunct,[],[normalize_0_10]) ).

cnf(refute_0_0,plain,
    genls(c_tptpcol_9_40196,c_tptpcol_8_39940),
    inference(canonicalize,[],[normalize_0_0]) ).

cnf(refute_0_1,plain,
    ( ~ genls(X,Y)
    | ~ genls(Y,Z)
    | genls(X,Z) ),
    inference(canonicalize,[],[normalize_0_2]) ).

cnf(refute_0_2,plain,
    ( ~ genls(X_147,c_tptpcol_9_40196)
    | ~ genls(c_tptpcol_9_40196,c_tptpcol_8_39940)
    | genls(X_147,c_tptpcol_8_39940) ),
    inference(subst,[],[refute_0_1:[bind(X,$fot(X_147)),bind(Y,$fot(c_tptpcol_9_40196)),bind(Z,$fot(c_tptpcol_8_39940))]]) ).

cnf(refute_0_3,plain,
    ( ~ genls(X_147,c_tptpcol_9_40196)
    | genls(X_147,c_tptpcol_8_39940) ),
    inference(resolve,[$cnf( genls(c_tptpcol_9_40196,c_tptpcol_8_39940) )],[refute_0_0,refute_0_2]) ).

cnf(refute_0_4,plain,
    ( ~ genls(c_tptpcol_12_40420,c_tptpcol_9_40196)
    | genls(c_tptpcol_12_40420,c_tptpcol_8_39940) ),
    inference(subst,[],[refute_0_3:[bind(X_147,$fot(c_tptpcol_12_40420))]]) ).

cnf(refute_0_5,plain,
    genls(c_tptpcol_12_40420,c_tptpcol_11_40388),
    inference(canonicalize,[],[normalize_0_3]) ).

cnf(refute_0_6,plain,
    genls(c_tptpcol_11_40388,c_tptpcol_10_40324),
    inference(canonicalize,[],[normalize_0_4]) ).

cnf(refute_0_7,plain,
    ( ~ genls(X_147,c_tptpcol_11_40388)
    | ~ genls(c_tptpcol_11_40388,c_tptpcol_10_40324)
    | genls(X_147,c_tptpcol_10_40324) ),
    inference(subst,[],[refute_0_1:[bind(X,$fot(X_147)),bind(Y,$fot(c_tptpcol_11_40388)),bind(Z,$fot(c_tptpcol_10_40324))]]) ).

cnf(refute_0_8,plain,
    ( ~ genls(X_147,c_tptpcol_11_40388)
    | genls(X_147,c_tptpcol_10_40324) ),
    inference(resolve,[$cnf( genls(c_tptpcol_11_40388,c_tptpcol_10_40324) )],[refute_0_6,refute_0_7]) ).

cnf(refute_0_9,plain,
    ( ~ genls(c_tptpcol_12_40420,c_tptpcol_11_40388)
    | genls(c_tptpcol_12_40420,c_tptpcol_10_40324) ),
    inference(subst,[],[refute_0_8:[bind(X_147,$fot(c_tptpcol_12_40420))]]) ).

cnf(refute_0_10,plain,
    genls(c_tptpcol_12_40420,c_tptpcol_10_40324),
    inference(resolve,[$cnf( genls(c_tptpcol_12_40420,c_tptpcol_11_40388) )],[refute_0_5,refute_0_9]) ).

cnf(refute_0_11,plain,
    genls(c_tptpcol_10_40324,c_tptpcol_9_40196),
    inference(canonicalize,[],[normalize_0_5]) ).

cnf(refute_0_12,plain,
    ( ~ genls(X_147,c_tptpcol_10_40324)
    | ~ genls(c_tptpcol_10_40324,c_tptpcol_9_40196)
    | genls(X_147,c_tptpcol_9_40196) ),
    inference(subst,[],[refute_0_1:[bind(X,$fot(X_147)),bind(Y,$fot(c_tptpcol_10_40324)),bind(Z,$fot(c_tptpcol_9_40196))]]) ).

cnf(refute_0_13,plain,
    ( ~ genls(X_147,c_tptpcol_10_40324)
    | genls(X_147,c_tptpcol_9_40196) ),
    inference(resolve,[$cnf( genls(c_tptpcol_10_40324,c_tptpcol_9_40196) )],[refute_0_11,refute_0_12]) ).

cnf(refute_0_14,plain,
    ( ~ genls(c_tptpcol_12_40420,c_tptpcol_10_40324)
    | genls(c_tptpcol_12_40420,c_tptpcol_9_40196) ),
    inference(subst,[],[refute_0_13:[bind(X_147,$fot(c_tptpcol_12_40420))]]) ).

cnf(refute_0_15,plain,
    genls(c_tptpcol_12_40420,c_tptpcol_9_40196),
    inference(resolve,[$cnf( genls(c_tptpcol_12_40420,c_tptpcol_10_40324) )],[refute_0_10,refute_0_14]) ).

cnf(refute_0_16,plain,
    genls(c_tptpcol_12_40420,c_tptpcol_8_39940),
    inference(resolve,[$cnf( genls(c_tptpcol_12_40420,c_tptpcol_9_40196) )],[refute_0_15,refute_0_4]) ).

cnf(refute_0_17,plain,
    genls(c_tptpcol_13_40421,c_tptpcol_12_40420),
    inference(canonicalize,[],[normalize_0_6]) ).

cnf(refute_0_18,plain,
    ( ~ genls(c_tptpcol_12_40420,X_149)
    | ~ genls(c_tptpcol_13_40421,c_tptpcol_12_40420)
    | genls(c_tptpcol_13_40421,X_149) ),
    inference(subst,[],[refute_0_1:[bind(X,$fot(c_tptpcol_13_40421)),bind(Y,$fot(c_tptpcol_12_40420)),bind(Z,$fot(X_149))]]) ).

cnf(refute_0_19,plain,
    ( ~ genls(c_tptpcol_12_40420,X_149)
    | genls(c_tptpcol_13_40421,X_149) ),
    inference(resolve,[$cnf( genls(c_tptpcol_13_40421,c_tptpcol_12_40420) )],[refute_0_17,refute_0_18]) ).

cnf(refute_0_20,plain,
    ( ~ genls(c_tptpcol_12_40420,c_tptpcol_8_39940)
    | genls(c_tptpcol_13_40421,c_tptpcol_8_39940) ),
    inference(subst,[],[refute_0_19:[bind(X_149,$fot(c_tptpcol_8_39940))]]) ).

cnf(refute_0_21,plain,
    genls(c_tptpcol_13_40421,c_tptpcol_8_39940),
    inference(resolve,[$cnf( genls(c_tptpcol_12_40420,c_tptpcol_8_39940) )],[refute_0_16,refute_0_20]) ).

cnf(refute_0_22,plain,
    genls(c_tptpcol_14_40429,c_tptpcol_13_40421),
    inference(canonicalize,[],[normalize_0_7]) ).

cnf(refute_0_23,plain,
    ( ~ genls(c_tptpcol_13_40421,X_149)
    | ~ genls(c_tptpcol_14_40429,c_tptpcol_13_40421)
    | genls(c_tptpcol_14_40429,X_149) ),
    inference(subst,[],[refute_0_1:[bind(X,$fot(c_tptpcol_14_40429)),bind(Y,$fot(c_tptpcol_13_40421)),bind(Z,$fot(X_149))]]) ).

cnf(refute_0_24,plain,
    ( ~ genls(c_tptpcol_13_40421,X_149)
    | genls(c_tptpcol_14_40429,X_149) ),
    inference(resolve,[$cnf( genls(c_tptpcol_14_40429,c_tptpcol_13_40421) )],[refute_0_22,refute_0_23]) ).

cnf(refute_0_25,plain,
    ( ~ genls(c_tptpcol_13_40421,c_tptpcol_8_39940)
    | genls(c_tptpcol_14_40429,c_tptpcol_8_39940) ),
    inference(subst,[],[refute_0_24:[bind(X_149,$fot(c_tptpcol_8_39940))]]) ).

cnf(refute_0_26,plain,
    genls(c_tptpcol_14_40429,c_tptpcol_8_39940),
    inference(resolve,[$cnf( genls(c_tptpcol_13_40421,c_tptpcol_8_39940) )],[refute_0_21,refute_0_25]) ).

cnf(refute_0_27,plain,
    genls(c_tptpcol_15_40430,c_tptpcol_14_40429),
    inference(canonicalize,[],[normalize_0_8]) ).

cnf(refute_0_28,plain,
    ( ~ genls(c_tptpcol_14_40429,X_149)
    | ~ genls(c_tptpcol_15_40430,c_tptpcol_14_40429)
    | genls(c_tptpcol_15_40430,X_149) ),
    inference(subst,[],[refute_0_1:[bind(X,$fot(c_tptpcol_15_40430)),bind(Y,$fot(c_tptpcol_14_40429)),bind(Z,$fot(X_149))]]) ).

cnf(refute_0_29,plain,
    ( ~ genls(c_tptpcol_14_40429,X_149)
    | genls(c_tptpcol_15_40430,X_149) ),
    inference(resolve,[$cnf( genls(c_tptpcol_15_40430,c_tptpcol_14_40429) )],[refute_0_27,refute_0_28]) ).

cnf(refute_0_30,plain,
    ( ~ genls(c_tptpcol_14_40429,c_tptpcol_8_39940)
    | genls(c_tptpcol_15_40430,c_tptpcol_8_39940) ),
    inference(subst,[],[refute_0_29:[bind(X_149,$fot(c_tptpcol_8_39940))]]) ).

cnf(refute_0_31,plain,
    genls(c_tptpcol_15_40430,c_tptpcol_8_39940),
    inference(resolve,[$cnf( genls(c_tptpcol_14_40429,c_tptpcol_8_39940) )],[refute_0_26,refute_0_30]) ).

cnf(refute_0_32,plain,
    genls(c_tptpcol_8_39940,c_tptpcol_7_39939),
    inference(canonicalize,[],[normalize_0_9]) ).

cnf(refute_0_33,plain,
    ( ~ genls(X_147,c_tptpcol_8_39940)
    | ~ genls(c_tptpcol_8_39940,c_tptpcol_7_39939)
    | genls(X_147,c_tptpcol_7_39939) ),
    inference(subst,[],[refute_0_1:[bind(X,$fot(X_147)),bind(Y,$fot(c_tptpcol_8_39940)),bind(Z,$fot(c_tptpcol_7_39939))]]) ).

cnf(refute_0_34,plain,
    ( ~ genls(X_147,c_tptpcol_8_39940)
    | genls(X_147,c_tptpcol_7_39939) ),
    inference(resolve,[$cnf( genls(c_tptpcol_8_39940,c_tptpcol_7_39939) )],[refute_0_32,refute_0_33]) ).

cnf(refute_0_35,plain,
    ( ~ genls(c_tptpcol_15_40430,c_tptpcol_8_39940)
    | genls(c_tptpcol_15_40430,c_tptpcol_7_39939) ),
    inference(subst,[],[refute_0_34:[bind(X_147,$fot(c_tptpcol_15_40430))]]) ).

cnf(refute_0_36,plain,
    genls(c_tptpcol_15_40430,c_tptpcol_7_39939),
    inference(resolve,[$cnf( genls(c_tptpcol_15_40430,c_tptpcol_8_39940) )],[refute_0_31,refute_0_35]) ).

cnf(refute_0_37,plain,
    ~ genls(c_tptpcol_15_40430,c_tptpcol_7_39939),
    inference(canonicalize,[],[normalize_0_11]) ).

cnf(refute_0_38,plain,
    $false,
    inference(resolve,[$cnf( genls(c_tptpcol_15_40430,c_tptpcol_7_39939) )],[refute_0_36,refute_0_37]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : CSR052+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.34  % Computer : n029.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 01:18:53 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.40  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.40  
% 0.13/0.40  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.20/0.41  
%------------------------------------------------------------------------------