TSTP Solution File: CSR147+1 by Metis---2.4

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%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : CSR147+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n025.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 21:58:43 EDT 2022

% Result   : Theorem 0.19s 0.37s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   50 (  27 unt;   0 def)
%            Number of atoms       :  116 (  15 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  130 (  64   ~;  62   |;   2   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-1 aty)
%            Number of variables   :   35 (   0 sgn   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(jim_human,axiom,
    s__Human(jim) ).

fof(experience,axiom,
    ! [O,OAge,YAge] :
      ( s__Human(O)
     => ( ( s__age(O,OAge)
          & s__age(s__siblingFn(O),YAge)
          & greater(OAge,YAge) )
       => ( s__more_experienced(O,s__siblingFn(O))
          | s__has_seen_more(s__siblingFn(O),O) ) ) ) ).

fof(geoff_48,axiom,
    s__age(geoff,n48) ).

fof(jim_54,axiom,
    s__age(jim,n54) ).

fof(greater_54_48,axiom,
    greater(n54,n48) ).

fof(geoff_and_jim,axiom,
    geoff = s__siblingFn(jim) ).

fof(jim_has_seen_more,axiom,
    ~ s__has_seen_more(geoff,jim) ).

fof(jim_is_experienced,conjecture,
    s__more_experienced(jim,geoff) ).

fof(subgoal_0,plain,
    s__more_experienced(jim,geoff),
    inference(strip,[],[jim_is_experienced]) ).

fof(negate_0_0,plain,
    ~ s__more_experienced(jim,geoff),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    s__age(geoff,n48),
    inference(canonicalize,[],[geoff_48]) ).

fof(normalize_0_1,plain,
    s__age(jim,n54),
    inference(canonicalize,[],[jim_54]) ).

fof(normalize_0_2,plain,
    ! [O,OAge,YAge] :
      ( ~ greater(OAge,YAge)
      | ~ s__Human(O)
      | ~ s__age(O,OAge)
      | ~ s__age(s__siblingFn(O),YAge)
      | s__has_seen_more(s__siblingFn(O),O)
      | s__more_experienced(O,s__siblingFn(O)) ),
    inference(canonicalize,[],[experience]) ).

fof(normalize_0_3,plain,
    ! [O,OAge,YAge] :
      ( ~ greater(OAge,YAge)
      | ~ s__Human(O)
      | ~ s__age(O,OAge)
      | ~ s__age(s__siblingFn(O),YAge)
      | s__has_seen_more(s__siblingFn(O),O)
      | s__more_experienced(O,s__siblingFn(O)) ),
    inference(specialize,[],[normalize_0_2]) ).

fof(normalize_0_4,plain,
    geoff = s__siblingFn(jim),
    inference(canonicalize,[],[geoff_and_jim]) ).

fof(normalize_0_5,plain,
    s__Human(jim),
    inference(canonicalize,[],[jim_human]) ).

fof(normalize_0_6,plain,
    ~ s__has_seen_more(geoff,jim),
    inference(canonicalize,[],[jim_has_seen_more]) ).

fof(normalize_0_7,plain,
    ~ s__more_experienced(jim,geoff),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_8,plain,
    greater(n54,n48),
    inference(canonicalize,[],[greater_54_48]) ).

cnf(refute_0_0,plain,
    s__age(geoff,n48),
    inference(canonicalize,[],[normalize_0_0]) ).

cnf(refute_0_1,plain,
    s__age(jim,n54),
    inference(canonicalize,[],[normalize_0_1]) ).

cnf(refute_0_2,plain,
    ( ~ greater(OAge,YAge)
    | ~ s__Human(O)
    | ~ s__age(O,OAge)
    | ~ s__age(s__siblingFn(O),YAge)
    | s__has_seen_more(s__siblingFn(O),O)
    | s__more_experienced(O,s__siblingFn(O)) ),
    inference(canonicalize,[],[normalize_0_3]) ).

cnf(refute_0_3,plain,
    ( ~ greater(X_4,X_5)
    | ~ s__Human(jim)
    | ~ s__age(jim,X_4)
    | ~ s__age(s__siblingFn(jim),X_5)
    | s__has_seen_more(s__siblingFn(jim),jim)
    | s__more_experienced(jim,s__siblingFn(jim)) ),
    inference(subst,[],[refute_0_2:[bind(O,$fot(jim)),bind(OAge,$fot(X_4)),bind(YAge,$fot(X_5))]]) ).

cnf(refute_0_4,plain,
    geoff = s__siblingFn(jim),
    inference(canonicalize,[],[normalize_0_4]) ).

cnf(refute_0_5,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_0_6,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_0_7,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_0_5,refute_0_6]) ).

cnf(refute_0_8,plain,
    ( geoff != s__siblingFn(jim)
    | s__siblingFn(jim) = geoff ),
    inference(subst,[],[refute_0_7:[bind(X,$fot(geoff)),bind(Y,$fot(s__siblingFn(jim)))]]) ).

cnf(refute_0_9,plain,
    s__siblingFn(jim) = geoff,
    inference(resolve,[$cnf( $equal(geoff,s__siblingFn(jim)) )],[refute_0_4,refute_0_8]) ).

cnf(refute_0_10,plain,
    ( s__siblingFn(jim) != geoff
    | ~ s__age(geoff,X_5)
    | s__age(s__siblingFn(jim),X_5) ),
    introduced(tautology,[equality,[$cnf( ~ s__age(s__siblingFn(jim),X_5) ),[0],$fot(geoff)]]) ).

cnf(refute_0_11,plain,
    ( ~ s__age(geoff,X_5)
    | s__age(s__siblingFn(jim),X_5) ),
    inference(resolve,[$cnf( $equal(s__siblingFn(jim),geoff) )],[refute_0_9,refute_0_10]) ).

cnf(refute_0_12,plain,
    ( ~ greater(X_4,X_5)
    | ~ s__Human(jim)
    | ~ s__age(geoff,X_5)
    | ~ s__age(jim,X_4)
    | s__has_seen_more(s__siblingFn(jim),jim)
    | s__more_experienced(jim,s__siblingFn(jim)) ),
    inference(resolve,[$cnf( s__age(s__siblingFn(jim),X_5) )],[refute_0_11,refute_0_3]) ).

cnf(refute_0_13,plain,
    ( s__siblingFn(jim) != geoff
    | ~ s__has_seen_more(s__siblingFn(jim),jim)
    | s__has_seen_more(geoff,jim) ),
    introduced(tautology,[equality,[$cnf( s__has_seen_more(s__siblingFn(jim),jim) ),[0],$fot(geoff)]]) ).

cnf(refute_0_14,plain,
    ( ~ s__has_seen_more(s__siblingFn(jim),jim)
    | s__has_seen_more(geoff,jim) ),
    inference(resolve,[$cnf( $equal(s__siblingFn(jim),geoff) )],[refute_0_9,refute_0_13]) ).

cnf(refute_0_15,plain,
    ( ~ greater(X_4,X_5)
    | ~ s__Human(jim)
    | ~ s__age(geoff,X_5)
    | ~ s__age(jim,X_4)
    | s__has_seen_more(geoff,jim)
    | s__more_experienced(jim,s__siblingFn(jim)) ),
    inference(resolve,[$cnf( s__has_seen_more(s__siblingFn(jim),jim) )],[refute_0_12,refute_0_14]) ).

cnf(refute_0_16,plain,
    ( s__siblingFn(jim) != geoff
    | ~ s__more_experienced(jim,s__siblingFn(jim))
    | s__more_experienced(jim,geoff) ),
    introduced(tautology,[equality,[$cnf( s__more_experienced(jim,s__siblingFn(jim)) ),[1],$fot(geoff)]]) ).

cnf(refute_0_17,plain,
    ( ~ s__more_experienced(jim,s__siblingFn(jim))
    | s__more_experienced(jim,geoff) ),
    inference(resolve,[$cnf( $equal(s__siblingFn(jim),geoff) )],[refute_0_9,refute_0_16]) ).

cnf(refute_0_18,plain,
    ( ~ greater(X_4,X_5)
    | ~ s__Human(jim)
    | ~ s__age(geoff,X_5)
    | ~ s__age(jim,X_4)
    | s__has_seen_more(geoff,jim)
    | s__more_experienced(jim,geoff) ),
    inference(resolve,[$cnf( s__more_experienced(jim,s__siblingFn(jim)) )],[refute_0_15,refute_0_17]) ).

cnf(refute_0_19,plain,
    s__Human(jim),
    inference(canonicalize,[],[normalize_0_5]) ).

cnf(refute_0_20,plain,
    ( ~ greater(X_4,X_5)
    | ~ s__age(geoff,X_5)
    | ~ s__age(jim,X_4)
    | s__has_seen_more(geoff,jim)
    | s__more_experienced(jim,geoff) ),
    inference(resolve,[$cnf( s__Human(jim) )],[refute_0_19,refute_0_18]) ).

cnf(refute_0_21,plain,
    ~ s__has_seen_more(geoff,jim),
    inference(canonicalize,[],[normalize_0_6]) ).

cnf(refute_0_22,plain,
    ( ~ greater(X_4,X_5)
    | ~ s__age(geoff,X_5)
    | ~ s__age(jim,X_4)
    | s__more_experienced(jim,geoff) ),
    inference(resolve,[$cnf( s__has_seen_more(geoff,jim) )],[refute_0_20,refute_0_21]) ).

cnf(refute_0_23,plain,
    ~ s__more_experienced(jim,geoff),
    inference(canonicalize,[],[normalize_0_7]) ).

cnf(refute_0_24,plain,
    ( ~ greater(X_4,X_5)
    | ~ s__age(geoff,X_5)
    | ~ s__age(jim,X_4) ),
    inference(resolve,[$cnf( s__more_experienced(jim,geoff) )],[refute_0_22,refute_0_23]) ).

cnf(refute_0_25,plain,
    ( ~ greater(n54,X_7)
    | ~ s__age(geoff,X_7)
    | ~ s__age(jim,n54) ),
    inference(subst,[],[refute_0_24:[bind(X_4,$fot(n54)),bind(X_5,$fot(X_7))]]) ).

cnf(refute_0_26,plain,
    ( ~ greater(n54,X_7)
    | ~ s__age(geoff,X_7) ),
    inference(resolve,[$cnf( s__age(jim,n54) )],[refute_0_1,refute_0_25]) ).

cnf(refute_0_27,plain,
    ( ~ greater(n54,n48)
    | ~ s__age(geoff,n48) ),
    inference(subst,[],[refute_0_26:[bind(X_7,$fot(n48))]]) ).

cnf(refute_0_28,plain,
    ~ greater(n54,n48),
    inference(resolve,[$cnf( s__age(geoff,n48) )],[refute_0_0,refute_0_27]) ).

cnf(refute_0_29,plain,
    greater(n54,n48),
    inference(canonicalize,[],[normalize_0_8]) ).

cnf(refute_0_30,plain,
    $false,
    inference(resolve,[$cnf( greater(n54,n48) )],[refute_0_29,refute_0_28]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : CSR147+1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.34  % Computer : n025.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 : Fri Jun 10 07:07:21 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.37  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.37  
% 0.19/0.37  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.37  
%------------------------------------------------------------------------------