TSTP Solution File: CSR066+1 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : CSR066+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n019.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 21:57:24 EDT 2022

% Result   : Theorem 0.13s 0.40s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   42 (  12 unt;   0 def)
%            Number of atoms       :   81 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   73 (  34   ~;  27   |;   5   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-4 aty)
%            Number of variables   :   37 (   0 sgn  24   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(just4,axiom,
    ! [TERM,INDEPCOL,PRED,DEPCOL] :
      ( ( isa(TERM,INDEPCOL)
        & relationexistsall(PRED,DEPCOL,INDEPCOL) )
     => isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL) ) ).

fof(just9,axiom,
    ! [TERM] :
      ( shavingrazor_manual(TERM)
     => tptp_8_271(f_relationexistsallfn(TERM,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),TERM) ) ).

fof(just10,axiom,
    relationexistsall(c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual) ).

fof(just11,axiom,
    shavingrazor_manual(c_theprototypicalshavingrazor_manual) ).

fof(just31,axiom,
    ! [X] :
      ( shavingrazor_manual(X)
     => isa(X,c_shavingrazor_manual) ) ).

fof(just32,axiom,
    ! [X] :
      ( isa(X,c_tptpcol_16_25972)
     => tptpcol_16_25972(X) ) ).

fof(query66,conjecture,
    ? [X] :
      ( mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_webnjiteducjohnsontreebiochhtm)),c_translation_21))
     => ( tptp_8_271(X,c_theprototypicalshavingrazor_manual)
        & tptpcol_16_25972(X) ) ) ).

fof(subgoal_0,plain,
    ? [X] :
      ( mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_webnjiteducjohnsontreebiochhtm)),c_translation_21))
     => ( tptp_8_271(X,c_theprototypicalshavingrazor_manual)
        & tptpcol_16_25972(X) ) ),
    inference(strip,[],[query66]) ).

fof(negate_0_0,plain,
    ~ ? [X] :
        ( mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_webnjiteducjohnsontreebiochhtm)),c_translation_21))
       => ( tptp_8_271(X,c_theprototypicalshavingrazor_manual)
          & tptpcol_16_25972(X) ) ),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    ! [X] :
      ( ~ isa(X,c_tptpcol_16_25972)
      | tptpcol_16_25972(X) ),
    inference(canonicalize,[],[just32]) ).

fof(normalize_0_1,plain,
    ! [X] :
      ( ~ isa(X,c_tptpcol_16_25972)
      | tptpcol_16_25972(X) ),
    inference(specialize,[],[normalize_0_0]) ).

fof(normalize_0_2,plain,
    shavingrazor_manual(c_theprototypicalshavingrazor_manual),
    inference(canonicalize,[],[just11]) ).

fof(normalize_0_3,plain,
    ! [X] :
      ( ~ shavingrazor_manual(X)
      | isa(X,c_shavingrazor_manual) ),
    inference(canonicalize,[],[just31]) ).

fof(normalize_0_4,plain,
    ! [X] :
      ( ~ shavingrazor_manual(X)
      | isa(X,c_shavingrazor_manual) ),
    inference(specialize,[],[normalize_0_3]) ).

fof(normalize_0_5,plain,
    relationexistsall(c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),
    inference(canonicalize,[],[just10]) ).

fof(normalize_0_6,plain,
    ! [DEPCOL,INDEPCOL,PRED,TERM] :
      ( ~ isa(TERM,INDEPCOL)
      | ~ relationexistsall(PRED,DEPCOL,INDEPCOL)
      | isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL) ),
    inference(canonicalize,[],[just4]) ).

fof(normalize_0_7,plain,
    ! [DEPCOL,INDEPCOL,PRED,TERM] :
      ( ~ isa(TERM,INDEPCOL)
      | ~ relationexistsall(PRED,DEPCOL,INDEPCOL)
      | isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL) ),
    inference(specialize,[],[normalize_0_6]) ).

fof(normalize_0_8,plain,
    ( mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_webnjiteducjohnsontreebiochhtm)),c_translation_21))
    & ! [X] :
        ( ~ tptp_8_271(X,c_theprototypicalshavingrazor_manual)
        | ~ tptpcol_16_25972(X) ) ),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_9,plain,
    ! [X] :
      ( ~ tptp_8_271(X,c_theprototypicalshavingrazor_manual)
      | ~ tptpcol_16_25972(X) ),
    inference(conjunct,[],[normalize_0_8]) ).

fof(normalize_0_10,plain,
    ! [X] :
      ( ~ tptp_8_271(X,c_theprototypicalshavingrazor_manual)
      | ~ tptpcol_16_25972(X) ),
    inference(specialize,[],[normalize_0_9]) ).

fof(normalize_0_11,plain,
    ! [TERM] :
      ( ~ shavingrazor_manual(TERM)
      | tptp_8_271(f_relationexistsallfn(TERM,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),TERM) ),
    inference(canonicalize,[],[just9]) ).

fof(normalize_0_12,plain,
    ! [TERM] :
      ( ~ shavingrazor_manual(TERM)
      | tptp_8_271(f_relationexistsallfn(TERM,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),TERM) ),
    inference(specialize,[],[normalize_0_11]) ).

cnf(refute_0_0,plain,
    ( ~ isa(X,c_tptpcol_16_25972)
    | tptpcol_16_25972(X) ),
    inference(canonicalize,[],[normalize_0_1]) ).

cnf(refute_0_1,plain,
    ( ~ isa(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),c_tptpcol_16_25972)
    | tptpcol_16_25972(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual)) ),
    inference(subst,[],[refute_0_0:[bind(X,$fot(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual)))]]) ).

cnf(refute_0_2,plain,
    shavingrazor_manual(c_theprototypicalshavingrazor_manual),
    inference(canonicalize,[],[normalize_0_2]) ).

cnf(refute_0_3,plain,
    ( ~ shavingrazor_manual(X)
    | isa(X,c_shavingrazor_manual) ),
    inference(canonicalize,[],[normalize_0_4]) ).

cnf(refute_0_4,plain,
    ( ~ shavingrazor_manual(c_theprototypicalshavingrazor_manual)
    | isa(c_theprototypicalshavingrazor_manual,c_shavingrazor_manual) ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(c_theprototypicalshavingrazor_manual))]]) ).

cnf(refute_0_5,plain,
    isa(c_theprototypicalshavingrazor_manual,c_shavingrazor_manual),
    inference(resolve,[$cnf( shavingrazor_manual(c_theprototypicalshavingrazor_manual) )],[refute_0_2,refute_0_4]) ).

cnf(refute_0_6,plain,
    relationexistsall(c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),
    inference(canonicalize,[],[normalize_0_5]) ).

cnf(refute_0_7,plain,
    ( ~ isa(TERM,INDEPCOL)
    | ~ relationexistsall(PRED,DEPCOL,INDEPCOL)
    | isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL) ),
    inference(canonicalize,[],[normalize_0_7]) ).

cnf(refute_0_8,plain,
    ( ~ isa(X_155,c_shavingrazor_manual)
    | ~ relationexistsall(c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual)
    | isa(f_relationexistsallfn(X_155,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),c_tptpcol_16_25972) ),
    inference(subst,[],[refute_0_7:[bind(DEPCOL,$fot(c_tptpcol_16_25972)),bind(INDEPCOL,$fot(c_shavingrazor_manual)),bind(PRED,$fot(c_tptp_8_271)),bind(TERM,$fot(X_155))]]) ).

cnf(refute_0_9,plain,
    ( ~ isa(X_155,c_shavingrazor_manual)
    | isa(f_relationexistsallfn(X_155,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),c_tptpcol_16_25972) ),
    inference(resolve,[$cnf( relationexistsall(c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual) )],[refute_0_6,refute_0_8]) ).

cnf(refute_0_10,plain,
    ( ~ isa(c_theprototypicalshavingrazor_manual,c_shavingrazor_manual)
    | isa(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),c_tptpcol_16_25972) ),
    inference(subst,[],[refute_0_9:[bind(X_155,$fot(c_theprototypicalshavingrazor_manual))]]) ).

cnf(refute_0_11,plain,
    isa(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),c_tptpcol_16_25972),
    inference(resolve,[$cnf( isa(c_theprototypicalshavingrazor_manual,c_shavingrazor_manual) )],[refute_0_5,refute_0_10]) ).

cnf(refute_0_12,plain,
    tptpcol_16_25972(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual)),
    inference(resolve,[$cnf( isa(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),c_tptpcol_16_25972) )],[refute_0_11,refute_0_1]) ).

cnf(refute_0_13,plain,
    ( ~ tptp_8_271(X,c_theprototypicalshavingrazor_manual)
    | ~ tptpcol_16_25972(X) ),
    inference(canonicalize,[],[normalize_0_10]) ).

cnf(refute_0_14,plain,
    ( ~ tptp_8_271(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),c_theprototypicalshavingrazor_manual)
    | ~ tptpcol_16_25972(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual)) ),
    inference(subst,[],[refute_0_13:[bind(X,$fot(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual)))]]) ).

cnf(refute_0_15,plain,
    ( ~ shavingrazor_manual(TERM)
    | tptp_8_271(f_relationexistsallfn(TERM,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),TERM) ),
    inference(canonicalize,[],[normalize_0_12]) ).

cnf(refute_0_16,plain,
    ( ~ shavingrazor_manual(c_theprototypicalshavingrazor_manual)
    | tptp_8_271(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),c_theprototypicalshavingrazor_manual) ),
    inference(subst,[],[refute_0_15:[bind(TERM,$fot(c_theprototypicalshavingrazor_manual))]]) ).

cnf(refute_0_17,plain,
    tptp_8_271(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),c_theprototypicalshavingrazor_manual),
    inference(resolve,[$cnf( shavingrazor_manual(c_theprototypicalshavingrazor_manual) )],[refute_0_2,refute_0_16]) ).

cnf(refute_0_18,plain,
    ~ tptpcol_16_25972(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual)),
    inference(resolve,[$cnf( tptp_8_271(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),c_theprototypicalshavingrazor_manual) )],[refute_0_17,refute_0_14]) ).

cnf(refute_0_19,plain,
    $false,
    inference(resolve,[$cnf( tptpcol_16_25972(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual)) )],[refute_0_12,refute_0_18]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : CSR066+1 : TPTP v8.1.0. Released v3.4.0.
% 0.13/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.35  % Computer : n019.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Fri Jun 10 01:36:55 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
% 0.13/0.40  
%------------------------------------------------------------------------------