TSTP Solution File: LCL813-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : LCL813-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n001.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 12:20:35 EDT 2023

% Result   : Unsatisfiable 0.10s 0.39s
% Output   : CNFRefutation 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    8 (   8 unt;   0 def)
%            Number of atoms       :    8 (   2 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   6 con; 0-5 aty)
%            Number of variables   :   16 (;  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f893,axiom,
    ! [V_e,V_x,V_T,T_a] : hAPP(c_Type_Oshift(V_e,V_x,V_T,T_a),V_x) = V_T,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f895,axiom,
    ! [V_env,V_x] : c_Type_Otyping(V_env,c_Lambda_OdB_OVar(V_x),hAPP(V_env,V_x)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f896,negated_conjecture,
    ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),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(f2371,plain,
    ! [X0,X1,X2,X3] : hAPP(c_Type_Oshift(X0,X1,X2,X3),X1) = X2,
    inference(cnf_transformation,[status(esa)],[f893]) ).

fof(f2373,plain,
    ! [X0,X1] : c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),hAPP(X0,X1)),
    inference(cnf_transformation,[status(esa)],[f895]) ).

fof(f2374,plain,
    ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)),
    inference(cnf_transformation,[status(esa)],[f896]) ).

fof(f2420,plain,
    ! [X0,X1,X2,X3] : c_Type_Otyping(c_Type_Oshift(X0,X1,X2,X3),c_Lambda_OdB_OVar(X1),X2),
    inference(paramodulation,[status(thm)],[f2371,f2373]) ).

fof(f2421,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f2374,f2420]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12  % Problem  : LCL813-1 : TPTP v8.1.2. Released v4.1.0.
% 0.09/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.33  % Computer : n001.cluster.edu
% 0.10/0.33  % Model    : x86_64 x86_64
% 0.10/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33  % Memory   : 8042.1875MB
% 0.10/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33  % CPULimit : 300
% 0.10/0.33  % WCLimit  : 300
% 0.10/0.33  % DateTime : Tue May 30 10:14:00 EDT 2023
% 0.10/0.33  % CPUTime  : 
% 0.10/0.38  % Drodi V3.5.1
% 0.10/0.39  % Refutation found
% 0.10/0.39  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.39  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.23/0.61  % Elapsed time: 0.062663 seconds
% 0.23/0.61  % CPU time: 0.068040 seconds
% 0.23/0.61  % Memory used: 6.400 MB
%------------------------------------------------------------------------------