%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : LCL795-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n028.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 20:28:08 EDT 2024

% Result   : Unsatisfiable 0.16s 0.37s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   12 (   9 unt;   0 def)
%            Number of atoms       :   15 (   2 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   10 (   7   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;   9 con; 0-5 aty)
%            Number of variables   :   15 (  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f872,axiom,
    c_Type_Otyping(v_e____,v_u____,v_T____),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f874,axiom,
    v_T____ = hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f875,axiom,
    ! [V_e,V_i,V_U,V_t,V_T] :
      ( c_Type_Otyping(c_Type_Oshift(V_e,V_i,V_U,tc_Type_Otype),c_Lambda_Olift(V_t,V_i),V_T)
      | ~ c_Type_Otyping(V_e,V_t,V_T) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f880,negated_conjecture,
    ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2328,plain,
    c_Type_Otyping(v_e____,v_u____,v_T____),
    inference(cnf_transformation,[status(esa)],[f872]) ).

fof(f2330,plain,
    v_T____ = hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)),
    inference(cnf_transformation,[status(esa)],[f874]) ).

fof(f2331,plain,
    ! [V_e,V_t,V_T] :
      ( ! [V_i,V_U] : c_Type_Otyping(c_Type_Oshift(V_e,V_i,V_U,tc_Type_Otype),c_Lambda_Olift(V_t,V_i),V_T)
      | ~ c_Type_Otyping(V_e,V_t,V_T) ),
    inference(miniscoping,[status(esa)],[f875]) ).

fof(f2332,plain,
    ! [X0,X1,X2,X3,X4] :
      ( c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),c_Lambda_Olift(X3,X1),X4)
      | ~ c_Type_Otyping(X0,X3,X4) ),
    inference(cnf_transformation,[status(esa)],[f2331]) ).

fof(f2339,plain,
    ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))),
    inference(cnf_transformation,[status(esa)],[f880]) ).

fof(f2387,plain,
    ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),v_T____),
    inference(backward_demodulation,[status(thm)],[f2330,f2339]) ).

fof(f2433,plain,
    ~ c_Type_Otyping(v_e____,v_u____,v_T____),
    inference(resolution,[status(thm)],[f2387,f2332]) ).

fof(f2434,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f2433,f2328]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : LCL795-1 : TPTP v8.1.2. Released v4.1.0.
% 0.10/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31  % Computer : n028.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 20:52:14 EDT 2024
% 0.10/0.31  % CPUTime  : 
% 0.16/0.36  % Drodi V3.6.0
% 0.16/0.37  % Refutation found
% 0.16/0.37  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.37  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.39  % Elapsed time: 0.072976 seconds
% 0.16/0.39  % CPU time: 0.111110 seconds
% 0.16/0.39  % Total memory used: 26.605 MB
% 0.16/0.39  % Net memory used: 26.545 MB
%------------------------------------------------------------------------------