TSTP Solution File: LAT279-1 by Drodi---3.5.1

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%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : LAT279-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n006.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 4.60s 1.05s
% Output   : CNFRefutation 4.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   19 (   9 unt;   0 def)
%            Number of atoms       :   29 (   2 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   20 (  10   ~;   8   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-3 aty)
%            Number of variables   :    4 (;   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2739,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(f2742,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(f2743,axiom,
    v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2744,negated_conjecture,
    ~ c_Relation_Oantisym(v_r,t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6100,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)],[f2739]) ).

fof(f6103,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)],[f2742]) ).

fof(f6104,plain,
    v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),
    inference(cnf_transformation,[status(esa)],[f2743]) ).

fof(f6105,plain,
    ~ c_Relation_Oantisym(v_r,t_a),
    inference(cnf_transformation,[status(esa)],[f2744]) ).

fof(f6293,plain,
    ( spl0_4
  <=> c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) ),
    introduced(split_symbol_definition) ).

fof(f6295,plain,
    ( ~ c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
    | spl0_4 ),
    inference(component_clause,[status(thm)],[f6293]) ).

fof(f6296,plain,
    ( spl0_5
  <=> c_Relation_Oantisym(v_r,t_a) ),
    introduced(split_symbol_definition) ).

fof(f6297,plain,
    ( c_Relation_Oantisym(v_r,t_a)
    | ~ spl0_5 ),
    inference(component_clause,[status(thm)],[f6296]) ).

fof(f6299,plain,
    ( ~ c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
    | c_Relation_Oantisym(v_r,t_a) ),
    inference(paramodulation,[status(thm)],[f6104,f6100]) ).

fof(f6300,plain,
    ( ~ spl0_4
    | spl0_5 ),
    inference(split_clause,[status(thm)],[f6299,f6293,f6296]) ).

fof(f6301,plain,
    ( $false
    | spl0_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6295,f6103]) ).

fof(f6302,plain,
    spl0_4,
    inference(contradiction_clause,[status(thm)],[f6301]) ).

fof(f6303,plain,
    ( $false
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6297,f6105]) ).

fof(f6304,plain,
    ~ spl0_5,
    inference(contradiction_clause,[status(thm)],[f6303]) ).

fof(f6305,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f6300,f6302,f6304]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem  : LAT279-1 : TPTP v8.1.2. Released v3.2.0.
% 0.02/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30  % Computer : n006.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit : 300
% 0.09/0.30  % WCLimit  : 300
% 0.09/0.30  % DateTime : Tue May 30 09:25:02 EDT 2023
% 0.09/0.30  % CPUTime  : 
% 0.15/0.39  % Drodi V3.5.1
% 4.60/1.05  % Refutation found
% 4.60/1.05  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 4.60/1.05  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 4.89/1.08  % Elapsed time: 0.760957 seconds
% 4.89/1.08  % CPU time: 4.896339 seconds
% 4.89/1.08  % Memory used: 196.321 MB
%------------------------------------------------------------------------------