%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : LCL809-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n018.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 12:20:34 EDT 2023

% Result   : Unsatisfiable 0.22s 0.64s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    9 (   6 unt;   0 def)
%            Number of atoms       :   12 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    9 (   6   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-3 aty)
%            Number of variables   :    6 (;   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1199,axiom,
    ! [V_t,V_i] :
      ( c_InductTermi_OIT(c_Lambda_Olift(V_t,V_i))
      | ~ c_InductTermi_OIT(V_t) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1202,axiom,
    c_InductTermi_OIT(c_Lambda_Osubst(v_b____,v_u____,v_i____)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1203,negated_conjecture,
    ~ c_InductTermi_OIT(c_Lambda_Olift(c_Lambda_Osubst(v_b____,v_u____,v_i____),c_HOL_Ozero__class_Ozero(tc_nat))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3143,plain,
    ! [V_t] :
      ( ! [V_i] : c_InductTermi_OIT(c_Lambda_Olift(V_t,V_i))
      | ~ c_InductTermi_OIT(V_t) ),
    inference(miniscoping,[status(esa)],[f1199]) ).

fof(f3144,plain,
    ! [X0,X1] :
      ( c_InductTermi_OIT(c_Lambda_Olift(X0,X1))
      | ~ c_InductTermi_OIT(X0) ),
    inference(cnf_transformation,[status(esa)],[f3143]) ).

fof(f3147,plain,
    c_InductTermi_OIT(c_Lambda_Osubst(v_b____,v_u____,v_i____)),
    inference(cnf_transformation,[status(esa)],[f1202]) ).

fof(f3148,plain,
    ~ c_InductTermi_OIT(c_Lambda_Olift(c_Lambda_Osubst(v_b____,v_u____,v_i____),c_HOL_Ozero__class_Ozero(tc_nat))),
    inference(cnf_transformation,[status(esa)],[f1203]) ).

fof(f3186,plain,
    ~ c_InductTermi_OIT(c_Lambda_Osubst(v_b____,v_u____,v_i____)),
    inference(resolution,[status(thm)],[f3144,f3148]) ).

fof(f3187,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f3186,f3147]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem  : LCL809-1 : TPTP v8.1.2. Released v4.1.0.
% 0.09/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31  % Computer : n018.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 : Tue May 30 09:47:10 EDT 2023
% 0.10/0.31  % CPUTime  : 
% 0.10/0.38  % Drodi V3.5.1
% 0.22/0.64  % Refutation found
% 0.22/0.64  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.22/0.64  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.22/0.64  % Elapsed time: 0.098796 seconds
% 0.22/0.64  % CPU time: 0.084388 seconds
% 0.22/0.64  % Memory used: 7.273 MB
%------------------------------------------------------------------------------