%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SWV675-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n032.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  : 600s
% DateTime : Wed Jul 20 20:39:51 EDT 2022

% Result   : Unsatisfiable 1.65s 1.85s
% Output   : CNFRefutation 1.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    7 (   5 unt;   0 nHn;   7 RR)
%            Number of literals    :    9 (   5 equ;   4 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-1 aty)
%            Number of variables   :    2 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_nat_Osimps_I3_J_0,axiom,
    c_Suc(V_nat_H) != c_HOL_Ozero__class_Ozero(tc_nat) ).

cnf(cls_le__0__eq_0,axiom,
    ( V_n = c_HOL_Ozero__class_Ozero(tc_nat)
    | ~ c_lessequals(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_lessequals(c_Suc(v_y),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).

cnf(refute_0_0,plain,
    ( ~ c_lessequals(c_Suc(v_y),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
    | c_Suc(v_y) = c_HOL_Ozero__class_Ozero(tc_nat) ),
    inference(subst,[],[cls_le__0__eq_0:[bind(V_n,$fot(c_Suc(v_y)))]]) ).

cnf(refute_0_1,plain,
    c_Suc(v_y) = c_HOL_Ozero__class_Ozero(tc_nat),
    inference(resolve,[$cnf( c_lessequals(c_Suc(v_y),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) )],[cls_conjecture_0,refute_0_0]) ).

cnf(refute_0_2,plain,
    c_Suc(v_y) != c_HOL_Ozero__class_Ozero(tc_nat),
    inference(subst,[],[cls_nat_Osimps_I3_J_0:[bind(V_nat_H,$fot(v_y))]]) ).

cnf(refute_0_3,plain,
    $false,
    inference(resolve,[$cnf( $equal(c_Suc(v_y),c_HOL_Ozero__class_Ozero(tc_nat)) )],[refute_0_1,refute_0_2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : SWV675-1 : TPTP v8.1.0. Released v4.1.0.
% 0.00/0.10  % Command  : metis --show proof --show saturation %s
% 0.10/0.29  % Computer : n032.cluster.edu
% 0.10/0.29  % Model    : x86_64 x86_64
% 0.10/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29  % Memory   : 8042.1875MB
% 0.10/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29  % CPULimit : 300
% 0.10/0.29  % WCLimit  : 600
% 0.10/0.29  % DateTime : Wed Jun 15 11:26:43 EDT 2022
% 0.10/0.29  % CPUTime  : 
% 0.10/0.29  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 1.65/1.85  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.65/1.85  
% 1.65/1.85  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 1.65/1.85  
%------------------------------------------------------------------------------