TSTP Solution File: LAT279-2 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : LAT279-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n007.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 12:17:15 EDT 2023

% Result   : Unsatisfiable 0.27s 0.58s
% Output   : CNFRefutation 0.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   11 (   9 unt;   0 def)
%            Number of atoms       :   13 (   2 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    6 (   4   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-3 aty)
%            Number of variables   :    4 (;   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ~ c_Relation_Oantisym(v_r,t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [V_P,T_a] :
      ( ~ c_in(V_P,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(T_a,tc_Product__Type_Ounit))
      | c_Relation_Oantisym(c_Tarski_Opotype_Oorder(V_P,T_a,tc_Product__Type_Ounit),T_a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,plain,
    ~ c_Relation_Oantisym(v_r,t_a),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f6,plain,
    ! [X0,X1] :
      ( ~ c_in(X0,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit))
      | c_Relation_Oantisym(c_Tarski_Opotype_Oorder(X0,X1,tc_Product__Type_Ounit),X1) ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f7,plain,
    c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f8,plain,
    v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f9,plain,
    c_Relation_Oantisym(c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),t_a),
    inference(resolution,[status(thm)],[f7,f6]) ).

fof(f10,plain,
    c_Relation_Oantisym(v_r,t_a),
    inference(forward_demodulation,[status(thm)],[f8,f9]) ).

fof(f11,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f10,f5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.12  % Problem  : LAT279-2 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34  % Computer : n007.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 09:09:17 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.35  % Drodi V3.5.1
% 0.27/0.58  % Refutation found
% 0.27/0.58  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.27/0.58  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.27/0.58  % Elapsed time: 0.017438 seconds
% 0.27/0.58  % CPU time: 0.023234 seconds
% 0.27/0.58  % Memory used: 7.812 MB
%------------------------------------------------------------------------------