%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : LCL755-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n017.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 : Tue Apr 30 20:28:02 EDT 2024

% Result   : Unsatisfiable 0.15s 0.36s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    8 (   6 unt;   0 def)
%            Number of atoms       :   10 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    7 (   5   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-3 aty)
%            Number of variables   :    6 (   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f710,axiom,
    ! [V_r] :
      ( c_InductTermi_OIT(c_Lambda_OdB_OAbs(V_r))
      | ~ c_InductTermi_OIT(V_r) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f724,negated_conjecture,
    ! [V_i,V_j] : c_InductTermi_OIT(c_Lambda_Osubst(v_ra,c_Lambda_OdB_OVar(V_i),V_j)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f725,negated_conjecture,
    ~ c_InductTermi_OIT(c_Lambda_OdB_OAbs(c_Lambda_Osubst(v_ra,c_Lambda_OdB_OVar(c_Suc(v_ia)),c_Suc(v_ja)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f1902,plain,
    ! [X0] :
      ( c_InductTermi_OIT(c_Lambda_OdB_OAbs(X0))
      | ~ c_InductTermi_OIT(X0) ),
    inference(cnf_transformation,[status(esa)],[f710]) ).

fof(f1916,plain,
    ! [X0,X1] : c_InductTermi_OIT(c_Lambda_Osubst(v_ra,c_Lambda_OdB_OVar(X0),X1)),
    inference(cnf_transformation,[status(esa)],[f724]) ).

fof(f1917,plain,
    ~ c_InductTermi_OIT(c_Lambda_OdB_OAbs(c_Lambda_Osubst(v_ra,c_Lambda_OdB_OVar(c_Suc(v_ia)),c_Suc(v_ja)))),
    inference(cnf_transformation,[status(esa)],[f725]) ).

fof(f1950,plain,
    ~ c_InductTermi_OIT(c_Lambda_Osubst(v_ra,c_Lambda_OdB_OVar(c_Suc(v_ia)),c_Suc(v_ja))),
    inference(resolution,[status(thm)],[f1902,f1917]) ).

fof(f1951,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f1950,f1916]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10  % Problem  : LCL755-1 : TPTP v8.1.2. Released v4.1.0.
% 0.08/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31  % Computer : n017.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Mon Apr 29 20:03:03 EDT 2024
% 0.10/0.31  % CPUTime  : 
% 0.15/0.35  % Drodi V3.6.0
% 0.15/0.36  % Refutation found
% 0.15/0.36  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.37  % Elapsed time: 0.058575 seconds
% 0.15/0.37  % CPU time: 0.088112 seconds
% 0.15/0.37  % Total memory used: 23.868 MB
% 0.15/0.37  % Net memory used: 23.816 MB
%------------------------------------------------------------------------------