TSTP Solution File: LAT280-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : LAT280-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n008.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 20:25:36 EDT 2024

% Result   : Unsatisfiable 75.95s 10.03s
% Output   : CNFRefutation 75.95s
% 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(f2740,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_Otrans(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_Otrans(v_r,t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6101,plain,
    ! [X0,X1] :
      ( ~ c_in(X0,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit))
      | c_Relation_Otrans(c_Tarski_Opotype_Oorder(X0,X1,tc_Product__Type_Ounit),X1) ),
    inference(cnf_transformation,[status(esa)],[f2740]) ).

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_Otrans(v_r,t_a),
    inference(cnf_transformation,[status(esa)],[f2744]) ).

fof(f27250,plain,
    ( spl0_1106
  <=> c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) ),
    introduced(split_symbol_definition) ).

fof(f27252,plain,
    ( ~ c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
    | spl0_1106 ),
    inference(component_clause,[status(thm)],[f27250]) ).

fof(f27258,plain,
    ( $false
    | spl0_1106 ),
    inference(forward_subsumption_resolution,[status(thm)],[f27252,f6103]) ).

fof(f27259,plain,
    spl0_1106,
    inference(contradiction_clause,[status(thm)],[f27258]) ).

fof(f27261,plain,
    ( spl0_1108
  <=> c_Relation_Otrans(v_r,t_a) ),
    introduced(split_symbol_definition) ).

fof(f27262,plain,
    ( c_Relation_Otrans(v_r,t_a)
    | ~ spl0_1108 ),
    inference(component_clause,[status(thm)],[f27261]) ).

fof(f27264,plain,
    ( ~ c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
    | c_Relation_Otrans(v_r,t_a) ),
    inference(paramodulation,[status(thm)],[f6104,f6101]) ).

fof(f27265,plain,
    ( ~ spl0_1106
    | spl0_1108 ),
    inference(split_clause,[status(thm)],[f27264,f27250,f27261]) ).

fof(f27266,plain,
    ( $false
    | ~ spl0_1108 ),
    inference(forward_subsumption_resolution,[status(thm)],[f27262,f6105]) ).

fof(f27267,plain,
    ~ spl0_1108,
    inference(contradiction_clause,[status(thm)],[f27266]) ).

fof(f27268,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f27259,f27265,f27267]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : LAT280-1 : TPTP v8.1.2. Released v3.2.0.
% 0.04/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34  % Computer : n008.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 : Mon Apr 29 20:01:12 EDT 2024
% 0.14/0.34  % CPUTime  : 
% 0.20/0.47  % Drodi V3.6.0
% 75.95/10.03  % Refutation found
% 75.95/10.03  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 75.95/10.03  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 75.95/10.08  % Elapsed time: 9.715669 seconds
% 75.95/10.08  % CPU time: 75.640546 seconds
% 75.95/10.08  % Total memory used: 668.957 MB
% 75.95/10.08  % Net memory used: 649.923 MB
%------------------------------------------------------------------------------