TSTP Solution File: SYN061+1 by Drodi---3.5.1

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%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN061+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n015.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 12:45:50 EDT 2023

% Result   : Theorem 0.06s 0.27s
% Output   : CNFRefutation 0.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   18 (   4 unt;   0 def)
%            Number of atoms       :   34 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   32 (  16   ~;   9   |;   6   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   13 (;   9   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ~ ? [X] :
        ( big_f(X)
        & ( big_g(X)
          | big_h(X) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ? [X] :
      ( big_i(X)
      & big_f(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [X] :
      ( ~ big_h(X)
     => big_j(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,conjecture,
    ? [X] :
      ( big_i(X)
      & big_j(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,negated_conjecture,
    ~ ? [X] :
        ( big_i(X)
        & big_j(X) ),
    inference(negated_conjecture,[status(cth)],[f4]) ).

fof(f6,plain,
    ! [X] :
      ( ~ big_f(X)
      | ( ~ big_g(X)
        & ~ big_h(X) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f1]) ).

fof(f8,plain,
    ! [X0] :
      ( ~ big_f(X0)
      | ~ big_h(X0) ),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f9,plain,
    ( big_i(sk0_0)
    & big_f(sk0_0) ),
    inference(skolemization,[status(esa)],[f2]) ).

fof(f10,plain,
    big_i(sk0_0),
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f11,plain,
    big_f(sk0_0),
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f12,plain,
    ! [X] :
      ( big_h(X)
      | big_j(X) ),
    inference(pre_NNF_transformation,[status(esa)],[f3]) ).

fof(f13,plain,
    ! [X0] :
      ( big_h(X0)
      | big_j(X0) ),
    inference(cnf_transformation,[status(esa)],[f12]) ).

fof(f14,plain,
    ! [X] :
      ( ~ big_i(X)
      | ~ big_j(X) ),
    inference(pre_NNF_transformation,[status(esa)],[f5]) ).

fof(f15,plain,
    ! [X0] :
      ( ~ big_i(X0)
      | ~ big_j(X0) ),
    inference(cnf_transformation,[status(esa)],[f14]) ).

fof(f16,plain,
    ! [X0] :
      ( ~ big_f(X0)
      | big_j(X0) ),
    inference(resolution,[status(thm)],[f8,f13]) ).

fof(f17,plain,
    ! [X0] :
      ( ~ big_f(X0)
      | ~ big_i(X0) ),
    inference(resolution,[status(thm)],[f16,f15]) ).

fof(f18,plain,
    ~ big_f(sk0_0),
    inference(resolution,[status(thm)],[f17,f10]) ).

fof(f19,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f18,f11]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.07  % Problem  : SYN061+1 : TPTP v8.1.2. Released v2.0.0.
% 0.04/0.07  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.26  % Computer : n015.cluster.edu
% 0.06/0.26  % Model    : x86_64 x86_64
% 0.06/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26  % Memory   : 8042.1875MB
% 0.06/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26  % CPULimit : 300
% 0.06/0.26  % WCLimit  : 300
% 0.06/0.26  % DateTime : Tue May 30 10:41:04 EDT 2023
% 0.06/0.26  % CPUTime  : 
% 0.06/0.27  % Drodi V3.5.1
% 0.06/0.27  % Refutation found
% 0.06/0.27  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.06/0.27  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.49  % Elapsed time: 0.006887 seconds
% 0.11/0.49  % CPU time: 0.018454 seconds
% 0.11/0.49  % Memory used: 1.809 MB
%------------------------------------------------------------------------------