%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SWV675-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n031.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 12:43:48 EDT 2023

% Result   : Unsatisfiable 0.38s 0.55s
% Output   : CNFRefutation 0.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   14 (  10 unt;   0 def)
%            Number of atoms       :   18 (   2 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   11 (   7   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-3 aty)
%            Number of variables   :   16 (;  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f949,axiom,
    ! [V_n,V_m] :
      ( c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)
      | ~ c_lessequals(c_Suc(V_n),V_m,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f961,axiom,
    ! [V_m,V_n] : c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),c_Suc(V_m),tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f989,axiom,
    ! [V_m,V_n] :
      ( ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
      | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f1224,axiom,
    ! [V_m] : c_HOL_Ominus__class_Ominus(V_m,V_m,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f1266,negated_conjecture,
    c_lessequals(c_Suc(v_y),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2919,plain,
    ! [X0,X1] :
      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
      | ~ c_lessequals(c_Suc(X0),X1,tc_nat) ),
    inference(cnf_transformation,[status(esa)],[f949]) ).

fof(f2935,plain,
    ! [X0,X1] : c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_Suc(X0),tc_nat),
    inference(cnf_transformation,[status(esa)],[f961]) ).

fof(f2978,plain,
    ! [X0,X1] :
      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
      | ~ c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat) ),
    inference(cnf_transformation,[status(esa)],[f989]) ).

fof(f3334,plain,
    ! [X0] : c_HOL_Ominus__class_Ominus(X0,X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
    inference(cnf_transformation,[status(esa)],[f1224]) ).

fof(f3401,plain,
    c_lessequals(c_Suc(v_y),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
    inference(cnf_transformation,[status(esa)],[f1266]) ).

fof(f3620,plain,
    c_HOL_Oord__class_Oless(v_y,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
    inference(resolution,[status(thm)],[f2919,f3401]) ).

fof(f3743,plain,
    ! [X0] : c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X0),tc_nat),
    inference(paramodulation,[status(thm)],[f3334,f2935]) ).

fof(f3822,plain,
    ! [X0] : ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
    inference(resolution,[status(thm)],[f2978,f3743]) ).

fof(f3832,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f3620,f3822]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : SWV675-1 : TPTP v8.1.2. Released v4.1.0.
% 0.08/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n031.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue May 30 12:03:37 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.20/0.45  % Drodi V3.5.1
% 0.38/0.55  % Refutation found
% 0.38/0.55  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.38/0.55  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.38/0.55  % Elapsed time: 0.185111 seconds
% 0.38/0.55  % CPU time: 0.233056 seconds
% 0.38/0.55  % Memory used: 43.393 MB
%------------------------------------------------------------------------------