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Z3---4.15.1.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : Z3---4.15.1
% Problem  : CSR147+1 : TPTP v9.0.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_E %s %d THM

% Computer : n012.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  : 300s
% DateTime : Sat Jun 21 05:04:19 AM UTC 2025

% Result   : Theorem 0.14s 0.39s
% Output   : Proof 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   22
% Syntax   : Number of formulae    :   54 (  22 unt;   0 typ;   0 def)
%            Number of atoms       :  408 (   5 equ)
%            Maximal formula atoms :   24 (   7 avg)
%            Number of connectives :  512 ( 187   ~; 216   |;  56   &)
%                                         (  39 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of FOOLs       :   29 (  29 fml;   0 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   12 (  10 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-1 aty)
%            Number of variables   :   75 (  66   !;   0   ?;  75   :)

% Comments : 
%------------------------------------------------------------------------------
tff(s__age_type,type,
    s__age: ( $i * $i ) > $o ).

tff(n48_type,type,
    n48: $i ).

tff(s__siblingFn_type,type,
    s__siblingFn: $i > $i ).

tff(jim_type,type,
    jim: $i ).

tff(geoff_type,type,
    geoff: $i ).

tff(s__has_seen_more_type,type,
    s__has_seen_more: ( $i * $i ) > $o ).

tff(s__more_experienced_type,type,
    s__more_experienced: ( $i * $i ) > $o ).

tff(greater_type,type,
    greater: ( $i * $i ) > $o ).

tff(n54_type,type,
    n54: $i ).

tff(s__Human_type,type,
    s__Human: $i > $o ).

tff(1,plain,
    ( ( geoff = s__siblingFn(jim) )
  <=> ( geoff = s__siblingFn(jim) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(2,axiom,
    geoff = s__siblingFn(jim),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',geoff_and_jim) ).

tff(3,plain,
    geoff = s__siblingFn(jim),
    inference(modus_ponens,[status(thm)],[2,1]) ).

tff(4,plain,
    s__siblingFn(jim) = geoff,
    inference(symmetry,[status(thm)],[3]) ).

tff(5,plain,
    ( s__age(s__siblingFn(jim),n48)
  <=> s__age(geoff,n48) ),
    inference(monotonicity,[status(thm)],[4]) ).

tff(6,plain,
    ( s__age(geoff,n48)
  <=> s__age(s__siblingFn(jim),n48) ),
    inference(symmetry,[status(thm)],[5]) ).

tff(7,plain,
    ( s__age(geoff,n48)
  <=> s__age(geoff,n48) ),
    inference(rewrite,[status(thm)],[]) ).

tff(8,axiom,
    s__age(geoff,n48),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',geoff_48) ).

tff(9,plain,
    s__age(geoff,n48),
    inference(modus_ponens,[status(thm)],[8,7]) ).

tff(10,plain,
    s__age(s__siblingFn(jim),n48),
    inference(modus_ponens,[status(thm)],[9,6]) ).

tff(11,plain,
    ( s__has_seen_more(s__siblingFn(jim),jim)
  <=> s__has_seen_more(geoff,jim) ),
    inference(monotonicity,[status(thm)],[4]) ).

tff(12,plain,
    ( s__has_seen_more(geoff,jim)
  <=> s__has_seen_more(s__siblingFn(jim),jim) ),
    inference(symmetry,[status(thm)],[11]) ).

tff(13,plain,
    ( ~ s__has_seen_more(geoff,jim)
  <=> ~ s__has_seen_more(s__siblingFn(jim),jim) ),
    inference(monotonicity,[status(thm)],[12]) ).

tff(14,plain,
    ( ~ s__has_seen_more(geoff,jim)
  <=> ~ s__has_seen_more(geoff,jim) ),
    inference(rewrite,[status(thm)],[]) ).

tff(15,axiom,
    ~ s__has_seen_more(geoff,jim),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',jim_has_seen_more) ).

tff(16,plain,
    ~ s__has_seen_more(geoff,jim),
    inference(modus_ponens,[status(thm)],[15,14]) ).

tff(17,plain,
    ~ s__has_seen_more(s__siblingFn(jim),jim),
    inference(modus_ponens,[status(thm)],[16,13]) ).

tff(18,plain,
    ( s__more_experienced(jim,s__siblingFn(jim))
  <=> s__more_experienced(jim,geoff) ),
    inference(monotonicity,[status(thm)],[4]) ).

tff(19,plain,
    ( s__more_experienced(jim,geoff)
  <=> s__more_experienced(jim,s__siblingFn(jim)) ),
    inference(symmetry,[status(thm)],[18]) ).

tff(20,plain,
    ( ~ s__more_experienced(jim,geoff)
  <=> ~ s__more_experienced(jim,s__siblingFn(jim)) ),
    inference(monotonicity,[status(thm)],[19]) ).

tff(21,plain,
    ( ~ s__more_experienced(jim,geoff)
  <=> ~ s__more_experienced(jim,geoff) ),
    inference(rewrite,[status(thm)],[]) ).

tff(22,axiom,
    ~ s__more_experienced(jim,geoff),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',jim_is_experienced) ).

tff(23,plain,
    ~ s__more_experienced(jim,geoff),
    inference(modus_ponens,[status(thm)],[22,21]) ).

tff(24,plain,
    ~ s__more_experienced(jim,s__siblingFn(jim)),
    inference(modus_ponens,[status(thm)],[23,20]) ).

tff(25,plain,
    ( greater(n54,n48)
  <=> greater(n54,n48) ),
    inference(rewrite,[status(thm)],[]) ).

tff(26,axiom,
    greater(n54,n48),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',greater_54_48) ).

tff(27,plain,
    greater(n54,n48),
    inference(modus_ponens,[status(thm)],[26,25]) ).

tff(28,plain,
    ( s__age(jim,n54)
  <=> s__age(jim,n54) ),
    inference(rewrite,[status(thm)],[]) ).

tff(29,axiom,
    s__age(jim,n54),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',jim_54) ).

tff(30,plain,
    s__age(jim,n54),
    inference(modus_ponens,[status(thm)],[29,28]) ).

tff(31,plain,
    ^ [O: $i,OAge: $i,YAge: $i] :
      refl(( ( s__has_seen_more(s__siblingFn(O),O)
          | s__more_experienced(O,s__siblingFn(O))
          | ~ s__Human(O)
          | ~ s__age(O,OAge)
          | ~ s__age(s__siblingFn(O),YAge)
          | ~ greater(OAge,YAge) )
      <=> ( s__has_seen_more(s__siblingFn(O),O)
          | s__more_experienced(O,s__siblingFn(O))
          | ~ s__Human(O)
          | ~ s__age(O,OAge)
          | ~ s__age(s__siblingFn(O),YAge)
          | ~ greater(OAge,YAge) ) )),
    inference(bind,[status(th)],[]) ).

tff(32,plain,
    ( ! [O: $i,OAge: $i,YAge: $i] :
        ( s__has_seen_more(s__siblingFn(O),O)
        | s__more_experienced(O,s__siblingFn(O))
        | ~ s__Human(O)
        | ~ s__age(O,OAge)
        | ~ s__age(s__siblingFn(O),YAge)
        | ~ greater(OAge,YAge) )
  <=> ! [O: $i,OAge: $i,YAge: $i] :
        ( s__has_seen_more(s__siblingFn(O),O)
        | s__more_experienced(O,s__siblingFn(O))
        | ~ s__Human(O)
        | ~ s__age(O,OAge)
        | ~ s__age(s__siblingFn(O),YAge)
        | ~ greater(OAge,YAge) ) ),
    inference(quant_intro,[status(thm)],[31]) ).

tff(33,plain,
    ^ [O: $i,OAge: $i,YAge: $i] :
      trans(monotonicity(trans(monotonicity(rewrite(( ( s__age(O,OAge)
                  & s__age(s__siblingFn(O),YAge)
                  & greater(OAge,YAge) )
              <=> ~ ( ~ s__age(O,OAge)
                    | ~ s__age(s__siblingFn(O),YAge)
                    | ~ greater(OAge,YAge) ) )),
              ( ~ ( s__age(O,OAge)
                  & s__age(s__siblingFn(O),YAge)
                  & greater(OAge,YAge) )
            <=> ~ ~ ( ~ s__age(O,OAge)
                    | ~ s__age(s__siblingFn(O),YAge)
                    | ~ greater(OAge,YAge) ) )),
            rewrite(( ~ ~ ( ~ s__age(O,OAge)
                    | ~ s__age(s__siblingFn(O),YAge)
                    | ~ greater(OAge,YAge) )
            <=> ( ~ s__age(O,OAge)
                | ~ s__age(s__siblingFn(O),YAge)
                | ~ greater(OAge,YAge) ) )),
            ( ~ ( s__age(O,OAge)
                & s__age(s__siblingFn(O),YAge)
                & greater(OAge,YAge) )
          <=> ( ~ s__age(O,OAge)
              | ~ s__age(s__siblingFn(O),YAge)
              | ~ greater(OAge,YAge) ) )),
          ( ( s__has_seen_more(s__siblingFn(O),O)
            | s__more_experienced(O,s__siblingFn(O))
            | ~ ( s__age(O,OAge)
                & s__age(s__siblingFn(O),YAge)
                & greater(OAge,YAge) )
            | ~ s__Human(O) )
        <=> ( s__has_seen_more(s__siblingFn(O),O)
            | s__more_experienced(O,s__siblingFn(O))
            | ~ s__age(O,OAge)
            | ~ s__age(s__siblingFn(O),YAge)
            | ~ greater(OAge,YAge)
            | ~ s__Human(O) ) )),
        rewrite(( ( s__has_seen_more(s__siblingFn(O),O)
            | s__more_experienced(O,s__siblingFn(O))
            | ~ s__age(O,OAge)
            | ~ s__age(s__siblingFn(O),YAge)
            | ~ greater(OAge,YAge)
            | ~ s__Human(O) )
        <=> ( s__has_seen_more(s__siblingFn(O),O)
            | s__more_experienced(O,s__siblingFn(O))
            | ~ s__Human(O)
            | ~ s__age(O,OAge)
            | ~ s__age(s__siblingFn(O),YAge)
            | ~ greater(OAge,YAge) ) )),
        ( ( s__has_seen_more(s__siblingFn(O),O)
          | s__more_experienced(O,s__siblingFn(O))
          | ~ ( s__age(O,OAge)
              & s__age(s__siblingFn(O),YAge)
              & greater(OAge,YAge) )
          | ~ s__Human(O) )
      <=> ( s__has_seen_more(s__siblingFn(O),O)
          | s__more_experienced(O,s__siblingFn(O))
          | ~ s__Human(O)
          | ~ s__age(O,OAge)
          | ~ s__age(s__siblingFn(O),YAge)
          | ~ greater(OAge,YAge) ) )),
    inference(bind,[status(th)],[]) ).

tff(34,plain,
    ( ! [O: $i,OAge: $i,YAge: $i] :
        ( s__has_seen_more(s__siblingFn(O),O)
        | s__more_experienced(O,s__siblingFn(O))
        | ~ ( s__age(O,OAge)
            & s__age(s__siblingFn(O),YAge)
            & greater(OAge,YAge) )
        | ~ s__Human(O) )
  <=> ! [O: $i,OAge: $i,YAge: $i] :
        ( s__has_seen_more(s__siblingFn(O),O)
        | s__more_experienced(O,s__siblingFn(O))
        | ~ s__Human(O)
        | ~ s__age(O,OAge)
        | ~ s__age(s__siblingFn(O),YAge)
        | ~ greater(OAge,YAge) ) ),
    inference(quant_intro,[status(thm)],[33]) ).

tff(35,plain,
    ( ! [O: $i,OAge: $i,YAge: $i] :
        ( s__has_seen_more(s__siblingFn(O),O)
        | s__more_experienced(O,s__siblingFn(O))
        | ~ ( s__age(O,OAge)
            & s__age(s__siblingFn(O),YAge)
            & greater(OAge,YAge) )
        | ~ s__Human(O) )
  <=> ! [O: $i,OAge: $i,YAge: $i] :
        ( s__has_seen_more(s__siblingFn(O),O)
        | s__more_experienced(O,s__siblingFn(O))
        | ~ ( s__age(O,OAge)
            & s__age(s__siblingFn(O),YAge)
            & greater(OAge,YAge) )
        | ~ s__Human(O) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(36,plain,
    ^ [O: $i,OAge: $i,YAge: $i] :
      trans(monotonicity(trans(monotonicity(rewrite(( ( s__age(O,OAge)
                  & s__age(s__siblingFn(O),YAge)
                  & greater(OAge,YAge) )
              <=> ( s__age(O,OAge)
                  & s__age(s__siblingFn(O),YAge)
                  & greater(OAge,YAge) ) )),
              rewrite(( ( s__more_experienced(O,s__siblingFn(O))
                  | s__has_seen_more(s__siblingFn(O),O) )
              <=> ( s__has_seen_more(s__siblingFn(O),O)
                  | s__more_experienced(O,s__siblingFn(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) ) )
            <=> ( ( s__age(O,OAge)
                  & s__age(s__siblingFn(O),YAge)
                  & greater(OAge,YAge) )
               => ( s__has_seen_more(s__siblingFn(O),O)
                  | s__more_experienced(O,s__siblingFn(O)) ) ) )),
            rewrite(( ( ( s__age(O,OAge)
                  & s__age(s__siblingFn(O),YAge)
                  & greater(OAge,YAge) )
               => ( s__has_seen_more(s__siblingFn(O),O)
                  | s__more_experienced(O,s__siblingFn(O)) ) )
            <=> ( s__has_seen_more(s__siblingFn(O),O)
                | s__more_experienced(O,s__siblingFn(O))
                | ~ ( s__age(O,OAge)
                    & s__age(s__siblingFn(O),YAge)
                    & greater(OAge,YAge) ) ) )),
            ( ( ( 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) ) )
          <=> ( s__has_seen_more(s__siblingFn(O),O)
              | s__more_experienced(O,s__siblingFn(O))
              | ~ ( s__age(O,OAge)
                  & s__age(s__siblingFn(O),YAge)
                  & greater(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) ) ) )
        <=> ( s__Human(O)
           => ( s__has_seen_more(s__siblingFn(O),O)
              | s__more_experienced(O,s__siblingFn(O))
              | ~ ( s__age(O,OAge)
                  & s__age(s__siblingFn(O),YAge)
                  & greater(OAge,YAge) ) ) ) )),
        rewrite(( ( s__Human(O)
           => ( s__has_seen_more(s__siblingFn(O),O)
              | s__more_experienced(O,s__siblingFn(O))
              | ~ ( s__age(O,OAge)
                  & s__age(s__siblingFn(O),YAge)
                  & greater(OAge,YAge) ) ) )
        <=> ( s__has_seen_more(s__siblingFn(O),O)
            | s__more_experienced(O,s__siblingFn(O))
            | ~ ( s__age(O,OAge)
                & s__age(s__siblingFn(O),YAge)
                & greater(OAge,YAge) )
            | ~ s__Human(O) ) )),
        ( ( 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) ) ) )
      <=> ( s__has_seen_more(s__siblingFn(O),O)
          | s__more_experienced(O,s__siblingFn(O))
          | ~ ( s__age(O,OAge)
              & s__age(s__siblingFn(O),YAge)
              & greater(OAge,YAge) )
          | ~ s__Human(O) ) )),
    inference(bind,[status(th)],[]) ).

tff(37,plain,
    ( ! [O: $i,OAge: $i,YAge: $i] :
        ( 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) ) ) )
  <=> ! [O: $i,OAge: $i,YAge: $i] :
        ( s__has_seen_more(s__siblingFn(O),O)
        | s__more_experienced(O,s__siblingFn(O))
        | ~ ( s__age(O,OAge)
            & s__age(s__siblingFn(O),YAge)
            & greater(OAge,YAge) )
        | ~ s__Human(O) ) ),
    inference(quant_intro,[status(thm)],[36]) ).

tff(38,axiom,
    ! [O: $i,OAge: $i,YAge: $i] :
      ( 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) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',experience) ).

tff(39,plain,
    ! [O: $i,OAge: $i,YAge: $i] :
      ( s__has_seen_more(s__siblingFn(O),O)
      | s__more_experienced(O,s__siblingFn(O))
      | ~ ( s__age(O,OAge)
          & s__age(s__siblingFn(O),YAge)
          & greater(OAge,YAge) )
      | ~ s__Human(O) ),
    inference(modus_ponens,[status(thm)],[38,37]) ).

tff(40,plain,
    ! [O: $i,OAge: $i,YAge: $i] :
      ( s__has_seen_more(s__siblingFn(O),O)
      | s__more_experienced(O,s__siblingFn(O))
      | ~ ( s__age(O,OAge)
          & s__age(s__siblingFn(O),YAge)
          & greater(OAge,YAge) )
      | ~ s__Human(O) ),
    inference(modus_ponens,[status(thm)],[39,35]) ).

tff(41,plain,
    ! [O: $i,OAge: $i,YAge: $i] :
      ( s__has_seen_more(s__siblingFn(O),O)
      | s__more_experienced(O,s__siblingFn(O))
      | ~ ( s__age(O,OAge)
          & s__age(s__siblingFn(O),YAge)
          & greater(OAge,YAge) )
      | ~ s__Human(O) ),
    inference(skolemize,[status(sab)],[40]) ).

tff(42,plain,
    ! [O: $i,OAge: $i,YAge: $i] :
      ( s__has_seen_more(s__siblingFn(O),O)
      | s__more_experienced(O,s__siblingFn(O))
      | ~ s__Human(O)
      | ~ s__age(O,OAge)
      | ~ s__age(s__siblingFn(O),YAge)
      | ~ greater(OAge,YAge) ),
    inference(modus_ponens,[status(thm)],[41,34]) ).

tff(43,plain,
    ! [O: $i,OAge: $i,YAge: $i] :
      ( s__has_seen_more(s__siblingFn(O),O)
      | s__more_experienced(O,s__siblingFn(O))
      | ~ s__Human(O)
      | ~ s__age(O,OAge)
      | ~ s__age(s__siblingFn(O),YAge)
      | ~ greater(OAge,YAge) ),
    inference(modus_ponens,[status(thm)],[42,32]) ).

tff(44,plain,
    ( s__Human(jim)
  <=> s__Human(jim) ),
    inference(rewrite,[status(thm)],[]) ).

tff(45,axiom,
    s__Human(jim),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',jim_human) ).

tff(46,plain,
    s__Human(jim),
    inference(modus_ponens,[status(thm)],[45,44]) ).

tff(47,plain,
    ( ( ~ ! [O: $i,OAge: $i,YAge: $i] :
            ( s__has_seen_more(s__siblingFn(O),O)
            | s__more_experienced(O,s__siblingFn(O))
            | ~ s__Human(O)
            | ~ s__age(O,OAge)
            | ~ s__age(s__siblingFn(O),YAge)
            | ~ greater(OAge,YAge) )
      | ~ s__Human(jim)
      | s__has_seen_more(s__siblingFn(jim),jim)
      | s__more_experienced(jim,s__siblingFn(jim))
      | ~ s__age(jim,n54)
      | ~ s__age(s__siblingFn(jim),n48)
      | ~ greater(n54,n48) )
  <=> ( ~ ! [O: $i,OAge: $i,YAge: $i] :
            ( s__has_seen_more(s__siblingFn(O),O)
            | s__more_experienced(O,s__siblingFn(O))
            | ~ s__Human(O)
            | ~ s__age(O,OAge)
            | ~ s__age(s__siblingFn(O),YAge)
            | ~ greater(OAge,YAge) )
      | ~ s__Human(jim)
      | s__has_seen_more(s__siblingFn(jim),jim)
      | s__more_experienced(jim,s__siblingFn(jim))
      | ~ s__age(jim,n54)
      | ~ s__age(s__siblingFn(jim),n48)
      | ~ greater(n54,n48) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(48,plain,
    ( ( s__has_seen_more(s__siblingFn(jim),jim)
      | s__more_experienced(jim,s__siblingFn(jim))
      | ~ s__Human(jim)
      | ~ s__age(jim,n54)
      | ~ s__age(s__siblingFn(jim),n48)
      | ~ greater(n54,n48) )
  <=> ( ~ s__Human(jim)
      | s__has_seen_more(s__siblingFn(jim),jim)
      | s__more_experienced(jim,s__siblingFn(jim))
      | ~ s__age(jim,n54)
      | ~ s__age(s__siblingFn(jim),n48)
      | ~ greater(n54,n48) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(49,plain,
    ( ( ~ ! [O: $i,OAge: $i,YAge: $i] :
            ( s__has_seen_more(s__siblingFn(O),O)
            | s__more_experienced(O,s__siblingFn(O))
            | ~ s__Human(O)
            | ~ s__age(O,OAge)
            | ~ s__age(s__siblingFn(O),YAge)
            | ~ greater(OAge,YAge) )
      | s__has_seen_more(s__siblingFn(jim),jim)
      | s__more_experienced(jim,s__siblingFn(jim))
      | ~ s__Human(jim)
      | ~ s__age(jim,n54)
      | ~ s__age(s__siblingFn(jim),n48)
      | ~ greater(n54,n48) )
  <=> ( ~ ! [O: $i,OAge: $i,YAge: $i] :
            ( s__has_seen_more(s__siblingFn(O),O)
            | s__more_experienced(O,s__siblingFn(O))
            | ~ s__Human(O)
            | ~ s__age(O,OAge)
            | ~ s__age(s__siblingFn(O),YAge)
            | ~ greater(OAge,YAge) )
      | ~ s__Human(jim)
      | s__has_seen_more(s__siblingFn(jim),jim)
      | s__more_experienced(jim,s__siblingFn(jim))
      | ~ s__age(jim,n54)
      | ~ s__age(s__siblingFn(jim),n48)
      | ~ greater(n54,n48) ) ),
    inference(monotonicity,[status(thm)],[48]) ).

tff(50,plain,
    ( ( ~ ! [O: $i,OAge: $i,YAge: $i] :
            ( s__has_seen_more(s__siblingFn(O),O)
            | s__more_experienced(O,s__siblingFn(O))
            | ~ s__Human(O)
            | ~ s__age(O,OAge)
            | ~ s__age(s__siblingFn(O),YAge)
            | ~ greater(OAge,YAge) )
      | s__has_seen_more(s__siblingFn(jim),jim)
      | s__more_experienced(jim,s__siblingFn(jim))
      | ~ s__Human(jim)
      | ~ s__age(jim,n54)
      | ~ s__age(s__siblingFn(jim),n48)
      | ~ greater(n54,n48) )
  <=> ( ~ ! [O: $i,OAge: $i,YAge: $i] :
            ( s__has_seen_more(s__siblingFn(O),O)
            | s__more_experienced(O,s__siblingFn(O))
            | ~ s__Human(O)
            | ~ s__age(O,OAge)
            | ~ s__age(s__siblingFn(O),YAge)
            | ~ greater(OAge,YAge) )
      | ~ s__Human(jim)
      | s__has_seen_more(s__siblingFn(jim),jim)
      | s__more_experienced(jim,s__siblingFn(jim))
      | ~ s__age(jim,n54)
      | ~ s__age(s__siblingFn(jim),n48)
      | ~ greater(n54,n48) ) ),
    inference(transitivity,[status(thm)],[49,47]) ).

tff(51,plain,
    ( ~ ! [O: $i,OAge: $i,YAge: $i] :
          ( s__has_seen_more(s__siblingFn(O),O)
          | s__more_experienced(O,s__siblingFn(O))
          | ~ s__Human(O)
          | ~ s__age(O,OAge)
          | ~ s__age(s__siblingFn(O),YAge)
          | ~ greater(OAge,YAge) )
    | s__has_seen_more(s__siblingFn(jim),jim)
    | s__more_experienced(jim,s__siblingFn(jim))
    | ~ s__Human(jim)
    | ~ s__age(jim,n54)
    | ~ s__age(s__siblingFn(jim),n48)
    | ~ greater(n54,n48) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(52,plain,
    ( ~ ! [O: $i,OAge: $i,YAge: $i] :
          ( s__has_seen_more(s__siblingFn(O),O)
          | s__more_experienced(O,s__siblingFn(O))
          | ~ s__Human(O)
          | ~ s__age(O,OAge)
          | ~ s__age(s__siblingFn(O),YAge)
          | ~ greater(OAge,YAge) )
    | ~ s__Human(jim)
    | s__has_seen_more(s__siblingFn(jim),jim)
    | s__more_experienced(jim,s__siblingFn(jim))
    | ~ s__age(jim,n54)
    | ~ s__age(s__siblingFn(jim),n48)
    | ~ greater(n54,n48) ),
    inference(modus_ponens,[status(thm)],[51,50]) ).

tff(53,plain,
    ( s__has_seen_more(s__siblingFn(jim),jim)
    | s__more_experienced(jim,s__siblingFn(jim))
    | ~ s__age(s__siblingFn(jim),n48) ),
    inference(unit_resolution,[status(thm)],[52,46,43,30,27]) ).

tff(54,plain,
    $false,
    inference(unit_resolution,[status(thm)],[53,24,17,10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem    : CSR147+1 : TPTP v9.0.0. Released v4.1.0.
% 0.07/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n012.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    : 300
% 0.14/0.35  % DateTime   : Thu Jun 19 13:03:41 EDT 2025
% 0.14/0.35  % CPUTime    : 
% 0.14/0.39  % SZS status Theorem
% 0.14/0.39  % SZS output start Proof
% See solution above
% 0.14/0.40  % E exiting
%------------------------------------------------------------------------------