TSTP Solution File: LCL822-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : LCL822-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n029.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 20:28:13 EDT 2024

% Result   : Unsatisfiable 0.21s 0.46s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    9 (   6 unt;   0 def)
%            Number of atoms       :   12 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    9 (   6   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   8 con; 0-5 aty)
%            Number of variables   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f189,axiom,
    ! [V_e,V_ts,V_Ts] :
      ( c_List_Olistsp(c_COMBB(c_Ex(tc_Type_Otype),c_Type_Otyping(V_e),tc_fun(tc_Type_Otype,tc_bool),tc_bool,tc_Lambda_OdB),V_ts,tc_Lambda_OdB)
      | ~ c_Type_Otypings(V_e,V_ts,V_Ts) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f210,axiom,
    c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_rs____,v_Ts____),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f211,negated_conjecture,
    ~ c_List_Olistsp(c_COMBB(c_Ex(tc_Type_Otype),c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype)),tc_fun(tc_Type_Otype,tc_bool),tc_bool,tc_Lambda_OdB),v_rs____,tc_Lambda_OdB),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f513,plain,
    ! [V_e,V_ts] :
      ( c_List_Olistsp(c_COMBB(c_Ex(tc_Type_Otype),c_Type_Otyping(V_e),tc_fun(tc_Type_Otype,tc_bool),tc_bool,tc_Lambda_OdB),V_ts,tc_Lambda_OdB)
      | ! [V_Ts] : ~ c_Type_Otypings(V_e,V_ts,V_Ts) ),
    inference(miniscoping,[status(esa)],[f189]) ).

fof(f514,plain,
    ! [X0,X1,X2] :
      ( c_List_Olistsp(c_COMBB(c_Ex(tc_Type_Otype),c_Type_Otyping(X0),tc_fun(tc_Type_Otype,tc_bool),tc_bool,tc_Lambda_OdB),X1,tc_Lambda_OdB)
      | ~ c_Type_Otypings(X0,X1,X2) ),
    inference(cnf_transformation,[status(esa)],[f513]) ).

fof(f543,plain,
    c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_rs____,v_Ts____),
    inference(cnf_transformation,[status(esa)],[f210]) ).

fof(f544,plain,
    ~ c_List_Olistsp(c_COMBB(c_Ex(tc_Type_Otype),c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype)),tc_fun(tc_Type_Otype,tc_bool),tc_bool,tc_Lambda_OdB),v_rs____,tc_Lambda_OdB),
    inference(cnf_transformation,[status(esa)],[f211]) ).

fof(f574,plain,
    ! [X0] : ~ c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_rs____,X0),
    inference(resolution,[status(thm)],[f514,f544]) ).

fof(f575,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f543,f574]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : LCL822-1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35  % Computer : n029.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Mon Apr 29 20:39:34 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.14/0.37  % Drodi V3.6.0
% 0.21/0.46  % Refutation found
% 0.21/0.46  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.46  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.47  % Elapsed time: 0.113239 seconds
% 0.21/0.47  % CPU time: 0.668099 seconds
% 0.21/0.47  % Total memory used: 76.990 MB
% 0.21/0.47  % Net memory used: 76.877 MB
%------------------------------------------------------------------------------