%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : LCL856-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n004.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 20:28:18 EDT 2024

% Result   : Unsatisfiable 0.20s 0.42s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   12 (   7 unt;   0 def)
%            Number of atoms       :   17 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   12 (   7   ~;   5   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-3 aty)
%            Number of variables   :   11 (  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f138,axiom,
    ! [V_t] :
      ( c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),V_t,tc_Lambda_OdB)
      | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f170,axiom,
    ! [V_t,V_e,V_T] :
      ( hBOOL(hAPP(c_InductTermi_OIT,V_t))
      | ~ c_Type_Otyping(V_e,V_t,V_T) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f172,negated_conjecture,
    c_Type_Otyping(v_e,v_t,v_T),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f173,negated_conjecture,
    ~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),v_t,tc_Lambda_OdB),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f409,plain,
    ! [X0] :
      ( c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),X0,tc_Lambda_OdB)
      | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
    inference(cnf_transformation,[status(esa)],[f138]) ).

fof(f461,plain,
    ! [V_t] :
      ( hBOOL(hAPP(c_InductTermi_OIT,V_t))
      | ! [V_e,V_T] : ~ c_Type_Otyping(V_e,V_t,V_T) ),
    inference(miniscoping,[status(esa)],[f170]) ).

fof(f462,plain,
    ! [X0,X1,X2] :
      ( hBOOL(hAPP(c_InductTermi_OIT,X0))
      | ~ c_Type_Otyping(X1,X0,X2) ),
    inference(cnf_transformation,[status(esa)],[f461]) ).

fof(f464,plain,
    c_Type_Otyping(v_e,v_t,v_T),
    inference(cnf_transformation,[status(esa)],[f172]) ).

fof(f465,plain,
    ~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),v_t,tc_Lambda_OdB),
    inference(cnf_transformation,[status(esa)],[f173]) ).

fof(f489,plain,
    hBOOL(hAPP(c_InductTermi_OIT,v_t)),
    inference(resolution,[status(thm)],[f462,f464]) ).

fof(f491,plain,
    c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),v_t,tc_Lambda_OdB),
    inference(resolution,[status(thm)],[f409,f489]) ).

fof(f492,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f491,f465]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : LCL856-1 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.35  % Computer : n004.cluster.edu
% 0.12/0.35  % Model    : x86_64 x86_64
% 0.12/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35  % Memory   : 8042.1875MB
% 0.12/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit : 300
% 0.12/0.35  % WCLimit  : 300
% 0.12/0.35  % DateTime : Mon Apr 29 20:14:03 EDT 2024
% 0.12/0.35  % CPUTime  : 
% 0.12/0.37  % Drodi V3.6.0
% 0.20/0.42  % Refutation found
% 0.20/0.42  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.42  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.44  % Elapsed time: 0.075929 seconds
% 0.20/0.44  % CPU time: 0.407481 seconds
% 0.20/0.44  % Total memory used: 74.486 MB
% 0.20/0.44  % Net memory used: 74.374 MB
%------------------------------------------------------------------------------