%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SWV925-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n023.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 20:49:34 EDT 2024

% Result   : Unsatisfiable 0.20s 0.55s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   11 (  11 unt;   0 def)
%            Number of atoms       :   11 (  10 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   5 con; 0-3 aty)
%            Number of variables   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f38,axiom,
    ! [V_nat_H] : c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_nat_H),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f569,axiom,
    ! [V_xa,T_a,V_x] : c_Suc(c_Nat_Osize__class_Osize(V_xa,tc_List_Olist(T_a))) = c_Nat_Osize__class_Osize(c_List_Olist_OCons(V_x,V_xa,T_a),tc_List_Olist(T_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f575,axiom,
    ! [T_a] : c_Nat_Osize__class_Osize(c_List_Olist_ONil(T_a),tc_List_Olist(T_a)) = c_HOL_Ozero__class_Ozero(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f595,negated_conjecture,
    c_Nat_Osize__class_Osize(c_List_Olist_OCons(v_aj,v_ak,tc_Value_Oval),tc_List_Olist(tc_Value_Oval)) = c_Nat_Osize__class_Osize(c_List_Olist_ONil(tc_Type_Oty),tc_List_Olist(tc_Type_Oty)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f663,plain,
    ! [X0] : c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X0),
    inference(cnf_transformation,[status(esa)],[f38]) ).

fof(f1395,plain,
    ! [X0,X1,X2] : c_Suc(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1))) = c_Nat_Osize__class_Osize(c_List_Olist_OCons(X2,X0,X1),tc_List_Olist(X1)),
    inference(cnf_transformation,[status(esa)],[f569]) ).

fof(f1401,plain,
    ! [X0] : c_Nat_Osize__class_Osize(c_List_Olist_ONil(X0),tc_List_Olist(X0)) = c_HOL_Ozero__class_Ozero(tc_nat),
    inference(cnf_transformation,[status(esa)],[f575]) ).

fof(f1427,plain,
    c_Nat_Osize__class_Osize(c_List_Olist_OCons(v_aj,v_ak,tc_Value_Oval),tc_List_Olist(tc_Value_Oval)) = c_Nat_Osize__class_Osize(c_List_Olist_ONil(tc_Type_Oty),tc_List_Olist(tc_Type_Oty)),
    inference(cnf_transformation,[status(esa)],[f595]) ).

fof(f1469,plain,
    c_Suc(c_Nat_Osize__class_Osize(v_ak,tc_List_Olist(tc_Value_Oval))) = c_Nat_Osize__class_Osize(c_List_Olist_ONil(tc_Type_Oty),tc_List_Olist(tc_Type_Oty)),
    inference(forward_demodulation,[status(thm)],[f1395,f1427]) ).

fof(f1470,plain,
    c_Suc(c_Nat_Osize__class_Osize(v_ak,tc_List_Olist(tc_Value_Oval))) = c_HOL_Ozero__class_Ozero(tc_nat),
    inference(forward_demodulation,[status(thm)],[f1401,f1469]) ).

fof(f1471,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f1470,f663]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV925-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34  % Computer : n023.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Tue Apr 30 00:53:40 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.20/0.41  % Drodi V3.6.0
% 0.20/0.55  % Refutation found
% 0.20/0.55  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.55  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.55  % Elapsed time: 0.203666 seconds
% 0.20/0.55  % CPU time: 1.067034 seconds
% 0.20/0.55  % Total memory used: 105.038 MB
% 0.20/0.55  % Net memory used: 104.903 MB
%------------------------------------------------------------------------------