TSTP Solution File: LCL817-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : LCL817-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n003.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 20:28:12 EDT 2024

% Result   : Unsatisfiable 1.24s 0.63s
% Output   : CNFRefutation 1.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   12 (   8 unt;   0 def)
%            Number of atoms       :   19 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   17 (  10   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-4 aty)
%            Number of variables   :   19 (  19   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f257,axiom,
    c_Type_Otyping(v_e____,v_u____,v_T____),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f262,axiom,
    c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,v_T_H_H____),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f269,axiom,
    ! [V_e_H,V_u,V_U,V_i,V_t,V_T] :
      ( ~ c_Type_Otyping(V_e_H,V_u,V_U)
      | ~ c_Type_Otyping(c_Type_Oshift(V_e_H,V_i,V_U,tc_Type_Otype),V_t,V_T)
      | c_Type_Otyping(V_e_H,c_Lambda_Osubst(V_t,V_u,V_i),V_T) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f272,negated_conjecture,
    ~ c_Type_Otyping(v_e____,c_Lambda_Osubst(v_a____,v_u____,v_i____),v_T_H_H____),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f689,plain,
    c_Type_Otyping(v_e____,v_u____,v_T____),
    inference(cnf_transformation,[status(esa)],[f257]) ).

fof(f695,plain,
    c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,v_T_H_H____),
    inference(cnf_transformation,[status(esa)],[f262]) ).

fof(f703,plain,
    ! [V_e_H,V_u,V_i,V_t,V_T] :
      ( ! [V_U] :
          ( ~ c_Type_Otyping(V_e_H,V_u,V_U)
          | ~ c_Type_Otyping(c_Type_Oshift(V_e_H,V_i,V_U,tc_Type_Otype),V_t,V_T) )
      | c_Type_Otyping(V_e_H,c_Lambda_Osubst(V_t,V_u,V_i),V_T) ),
    inference(miniscoping,[status(esa)],[f269]) ).

fof(f704,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ c_Type_Otyping(X0,X1,X2)
      | ~ c_Type_Otyping(c_Type_Oshift(X0,X3,X2,tc_Type_Otype),X4,X5)
      | c_Type_Otyping(X0,c_Lambda_Osubst(X4,X1,X3),X5) ),
    inference(cnf_transformation,[status(esa)],[f703]) ).

fof(f707,plain,
    ~ c_Type_Otyping(v_e____,c_Lambda_Osubst(v_a____,v_u____,v_i____),v_T_H_H____),
    inference(cnf_transformation,[status(esa)],[f272]) ).

fof(f1633,plain,
    ! [X0] :
      ( ~ c_Type_Otyping(v_e____,X0,v_T____)
      | c_Type_Otyping(v_e____,c_Lambda_Osubst(v_a____,X0,v_i____),v_T_H_H____) ),
    inference(resolution,[status(thm)],[f704,f695]) ).

fof(f1702,plain,
    ~ c_Type_Otyping(v_e____,v_u____,v_T____),
    inference(resolution,[status(thm)],[f1633,f707]) ).

fof(f1703,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f1702,f689]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : LCL817-1 : TPTP v8.1.2. Released v4.1.0.
% 0.08/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35  % Computer : n003.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Mon Apr 29 22:10:18 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.13/0.39  % Drodi V3.6.0
% 1.24/0.63  % Refutation found
% 1.24/0.63  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.24/0.63  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.24/0.64  % Elapsed time: 0.285451 seconds
% 1.24/0.64  % CPU time: 1.883553 seconds
% 1.24/0.64  % Total memory used: 111.125 MB
% 1.24/0.64  % Net memory used: 109.699 MB
%------------------------------------------------------------------------------