%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% 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 : n023.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 12:20:44 EDT 2023

% Result   : Unsatisfiable 0.14s 0.41s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   12 (   6 unt;   0 def)
%            Number of atoms       :   18 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   15 (   9   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 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   :   16 (;  16   !;   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(f491,plain,
    ! [X0,X1,X2] :
      ( c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),X0,tc_Lambda_OdB)
      | ~ c_Type_Otyping(X1,X0,X2) ),
    inference(resolution,[status(thm)],[f409,f462]) ).

fof(f492,plain,
    ! [X0,X1] : ~ c_Type_Otyping(X0,v_t,X1),
    inference(resolution,[status(thm)],[f491,f465]) ).

fof(f493,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f464,f492]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : LCL856-1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34  % Computer : n023.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Tue May 30 10:00:23 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.36  % Drodi V3.5.1
% 0.14/0.41  % Refutation found
% 0.14/0.41  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.41  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.42  % Elapsed time: 0.073665 seconds
% 0.20/0.42  % CPU time: 0.359672 seconds
% 0.20/0.42  % Memory used: 45.229 MB
%------------------------------------------------------------------------------