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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR147+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 12:14:21 PM UTC 2026

% Result   : Theorem 0.14s 0.38s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   42 (  20 unt;   4 def)
%            Number of atoms       :   93 (   2 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   98 (  47   ~;  43   |;   2   &)
%                                         (   4 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   5 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-1 aty)
%            Number of variables   :   21 (  21   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5,axiom,
    s__Human(jim),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7,axiom,
    ! [O,OAge,YAge] :
      ( s__Human(O)
     => ( ( greater(OAge,YAge)
          & s__age(s__siblingFn(O),YAge)
          & s__age(O,OAge) )
       => ( s__has_seen_more(s__siblingFn(O),O)
          | s__more_experienced(O,s__siblingFn(O)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f9,axiom,
    s__age(geoff,n48),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10,axiom,
    s__age(jim,n54),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f11,axiom,
    greater(n54,n48),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f12,axiom,
    geoff = s__siblingFn(jim),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f13,axiom,
    ~ s__has_seen_more(geoff,jim),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f14,conjecture,
    s__more_experienced(jim,geoff),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f15,negated_conjecture,
    ~ s__more_experienced(jim,geoff),
    inference(negated_conjecture,[status(cth)],[f14]) ).

fof(f23,plain,
    s__Human(jim),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f26,plain,
    ! [O,OAge,YAge] :
      ( s__has_seen_more(s__siblingFn(O),O)
      | s__more_experienced(O,s__siblingFn(O))
      | ~ greater(OAge,YAge)
      | ~ s__age(s__siblingFn(O),YAge)
      | ~ s__age(O,OAge)
      | ~ s__Human(O) ),
    inference(pre_NNF_transformation,[status(thm)],[f7]) ).

fof(f27,plain,
    ! [O] :
      ( s__has_seen_more(s__siblingFn(O),O)
      | s__more_experienced(O,s__siblingFn(O))
      | ! [OAge,YAge] :
          ( ~ greater(OAge,YAge)
          | ~ s__age(s__siblingFn(O),YAge)
          | ~ s__age(O,OAge) )
      | ~ s__Human(O) ),
    inference(miniscoping,[status(thm)],[f26]) ).

fof(f28,plain,
    ! [X0,X1,X2] :
      ( s__has_seen_more(s__siblingFn(X0),X0)
      | s__more_experienced(X0,s__siblingFn(X0))
      | ~ greater(X1,X2)
      | ~ s__age(s__siblingFn(X0),X2)
      | ~ s__age(X0,X1)
      | ~ s__Human(X0) ),
    inference(cnf_transformation,[status(thm)],[f27]) ).

fof(f31,plain,
    s__age(geoff,n48),
    inference(cnf_transformation,[status(thm)],[f9]) ).

fof(f32,plain,
    s__age(jim,n54),
    inference(cnf_transformation,[status(thm)],[f10]) ).

fof(f33,plain,
    greater(n54,n48),
    inference(cnf_transformation,[status(thm)],[f11]) ).

fof(f34,plain,
    geoff = s__siblingFn(jim),
    inference(cnf_transformation,[status(thm)],[f12]) ).

fof(f35,plain,
    ~ s__has_seen_more(geoff,jim),
    inference(cnf_transformation,[status(thm)],[f13]) ).

fof(f36,plain,
    ~ s__more_experienced(jim,geoff),
    inference(cnf_transformation,[status(thm)],[f15]) ).

fof(f38,plain,
    ! [X0,X1] :
      ( s__has_seen_more(s__siblingFn(jim),jim)
      | s__more_experienced(jim,geoff)
      | ~ greater(X0,X1)
      | ~ s__age(s__siblingFn(jim),X1)
      | ~ s__age(jim,X0)
      | ~ s__Human(jim) ),
    inference(paramodulation,[status(thm)],[f34,f28]) ).

fof(f40,definition,
    ( sQ0_spl
  <=> s__Human(jim) ),
    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).

fof(f42,plain,
    ( sQ0_spl
    | ~ s__Human(jim) ),
    inference(component_clause,[status(thm)],[f40]) ).

fof(f43,definition,
    ! [X0,X1] :
      ( sQ1_spl
    <=> ( ~ greater(X0,X1)
        | ~ s__age(s__siblingFn(jim),X1)
        | ~ s__age(jim,X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f44,plain,
    ! [X0,X1] :
      ( ~ sQ1_spl
      | ~ greater(X0,X1)
      | ~ s__age(s__siblingFn(jim),X1)
      | ~ s__age(jim,X0) ),
    inference(component_clause,[status(thm)],[f43]) ).

fof(f46,definition,
    ( sQ2_spl
  <=> s__more_experienced(jim,geoff) ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f47,plain,
    ( ~ sQ2_spl
    | s__more_experienced(jim,geoff) ),
    inference(component_clause,[status(thm)],[f46]) ).

fof(f49,definition,
    ( sQ3_spl
  <=> s__has_seen_more(s__siblingFn(jim),jim) ),
    introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).

fof(f50,plain,
    ( ~ sQ3_spl
    | s__has_seen_more(s__siblingFn(jim),jim) ),
    inference(component_clause,[status(thm)],[f49]) ).

fof(f52,plain,
    ( sQ3_spl
    | sQ2_spl
    | sQ1_spl
    | ~ sQ0_spl ),
    inference(split_clause,[status(thm)],[f38,f40,f43,f46,f49]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( ~ sQ1_spl
      | ~ greater(X0,X1)
      | ~ s__age(geoff,X1)
      | ~ s__age(jim,X0) ),
    inference(forward_demodulation,[status(thm)],[f34,f44]) ).

fof(f61,plain,
    ! [X0] :
      ( ~ sQ1_spl
      | ~ greater(n54,X0)
      | ~ s__age(geoff,X0) ),
    inference(resolution,[status(thm)],[f32,f60]) ).

fof(f67,plain,
    ( sQ0_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f42,f23]) ).

fof(f68,plain,
    sQ0_spl,
    inference(contradiction_clause,[status(thm)],[f67]) ).

fof(f69,plain,
    ( ~ sQ1_spl
    | ~ s__age(geoff,n48) ),
    inference(resolution,[status(thm)],[f61,f33]) ).

fof(f70,plain,
    ( ~ sQ1_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f69,f31]) ).

fof(f71,plain,
    ~ sQ1_spl,
    inference(contradiction_clause,[status(thm)],[f70]) ).

fof(f72,plain,
    ( ~ sQ2_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f47,f36]) ).

fof(f73,plain,
    ~ sQ2_spl,
    inference(contradiction_clause,[status(thm)],[f72]) ).

fof(f77,plain,
    ( ~ sQ3_spl
    | s__has_seen_more(geoff,jim) ),
    inference(forward_demodulation,[status(thm)],[f34,f50]) ).

fof(f78,plain,
    ( ~ sQ3_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f77,f35]) ).

fof(f79,plain,
    ~ sQ3_spl,
    inference(contradiction_clause,[status(thm)],[f78]) ).

fof(f80,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f52,f68,f71,f73,f79]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR147+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35  % Computer : n018.cluster.edu
% 0.08/0.35  % Model    : x86_64 x86_64
% 0.08/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35  % Memory   : 8046.5625MB
% 0.08/0.35  % OS       : Linux 6.8.0-71-generic
% 0.08/0.35  % CPULimit : 300
% 0.08/0.35  % WCLimit  : 300
% 0.08/0.35  % DateTime : Mon Sep 21 15:15:00 UTC 2026
% 0.14/0.36  % CPUTime  : 
% 0.14/0.37  % Drodi V4.1.1
% 0.14/0.38  % Refutation found
% 0.14/0.38  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.38  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.41  % Elapsed time: 0.046678 seconds
% 0.14/0.41  % CPU time: 0.137973 seconds
% 0.14/0.41  % Total memory used: 85.484 MB
% 0.14/0.41  % Net memory used: 85.161 MB
%------------------------------------------------------------------------------