TSTP Solution File: SYN054-1 by Drodi---3.5.1

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%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN054-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n010.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 : Wed May 31 12:45:49 EDT 2023

% Result   : Unsatisfiable 0.09s 0.34s
% Output   : CNFRefutation 0.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   23 (   5 unt;   0 def)
%            Number of atoms       :   43 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   41 (  21   ~;  18   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   3 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   11 (;  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X] :
      ( ~ big_s(X)
      | ~ big_q(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [X] :
      ( ~ big_p(X)
      | big_q(X)
      | big_r(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ( big_p(a)
    | big_q(b) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ! [X] :
      ( ~ big_q(X)
      | big_s(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,negated_conjecture,
    ! [X] :
      ( ~ big_p(X)
      | ~ big_r(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f7,plain,
    ! [X0] :
      ( ~ big_s(X0)
      | ~ big_q(X0) ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f8,plain,
    ! [X0] :
      ( ~ big_p(X0)
      | big_q(X0)
      | big_r(X0) ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f9,plain,
    ( big_p(a)
    | big_q(b) ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f10,plain,
    ! [X0] :
      ( ~ big_q(X0)
      | big_s(X0) ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f12,plain,
    ! [X0] :
      ( ~ big_p(X0)
      | ~ big_r(X0) ),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f13,plain,
    ( spl0_0
  <=> big_p(a) ),
    introduced(split_symbol_definition) ).

fof(f14,plain,
    ( big_p(a)
    | ~ spl0_0 ),
    inference(component_clause,[status(thm)],[f13]) ).

fof(f16,plain,
    ( spl0_1
  <=> big_q(b) ),
    introduced(split_symbol_definition) ).

fof(f17,plain,
    ( big_q(b)
    | ~ spl0_1 ),
    inference(component_clause,[status(thm)],[f16]) ).

fof(f19,plain,
    ( spl0_0
    | spl0_1 ),
    inference(split_clause,[status(thm)],[f9,f13,f16]) ).

fof(f20,plain,
    ! [X0] : ~ big_q(X0),
    inference(forward_subsumption_resolution,[status(thm)],[f10,f7]) ).

fof(f21,plain,
    ! [X0] :
      ( ~ big_p(X0)
      | big_r(X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[f8,f20]) ).

fof(f22,plain,
    ! [X0] : ~ big_p(X0),
    inference(forward_subsumption_resolution,[status(thm)],[f21,f12]) ).

fof(f23,plain,
    ( $false
    | ~ spl0_0 ),
    inference(backward_subsumption_resolution,[status(thm)],[f14,f22]) ).

fof(f24,plain,
    ~ spl0_0,
    inference(contradiction_clause,[status(thm)],[f23]) ).

fof(f25,plain,
    ( $false
    | ~ spl0_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f17,f20]) ).

fof(f26,plain,
    ~ spl0_1,
    inference(contradiction_clause,[status(thm)],[f25]) ).

fof(f27,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f19,f24,f26]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11  % Problem  : SYN054-1 : TPTP v8.1.2. Released v1.0.0.
% 0.05/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.33  % Computer : n010.cluster.edu
% 0.09/0.33  % Model    : x86_64 x86_64
% 0.09/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.33  % Memory   : 8042.1875MB
% 0.09/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.33  % CPULimit : 300
% 0.09/0.33  % WCLimit  : 300
% 0.09/0.33  % DateTime : Tue May 30 10:12:07 EDT 2023
% 0.09/0.33  % CPUTime  : 
% 0.09/0.33  % Drodi V3.5.1
% 0.09/0.34  % Refutation found
% 0.09/0.34  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.34  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.56  % Elapsed time: 0.017234 seconds
% 0.16/0.56  % CPU time: 0.008616 seconds
% 0.16/0.56  % Memory used: 468.228 KB
%------------------------------------------------------------------------------