%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : ALG350-1 : 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 : Thu Jul 14 17:40:02 EDT 2022

% Result   : Unsatisfiable 0.13s 0.48s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    9 (   5 unt;   0 nHn;   9 RR)
%            Number of literals    :   13 (   0 equ;   5 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :    3 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_real__less__def_0,axiom,
    ( c_lessequals(V_x,V_y,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal) ) ).

cnf(cls_CHAINED_0,axiom,
    ( c_HOL_Oord__class_Oless(V_x,v_Y____,tc_RealDef_Oreal)
    | ~ hBOOL(hAPP(v_P,V_x)) ) ).

cnf(cls_conjecture_0,negated_conjecture,
    hBOOL(hAPP(v_P,v_xa)) ).

cnf(cls_conjecture_1,negated_conjecture,
    ~ c_lessequals(v_xa,v_Y____,tc_RealDef_Oreal) ).

cnf(refute_0_0,plain,
    ( ~ hBOOL(hAPP(v_P,v_xa))
    | c_HOL_Oord__class_Oless(v_xa,v_Y____,tc_RealDef_Oreal) ),
    inference(subst,[],[cls_CHAINED_0:[bind(V_x,$fot(v_xa))]]) ).

cnf(refute_0_1,plain,
    c_HOL_Oord__class_Oless(v_xa,v_Y____,tc_RealDef_Oreal),
    inference(resolve,[$cnf( hBOOL(hAPP(v_P,v_xa)) )],[cls_conjecture_0,refute_0_0]) ).

cnf(refute_0_2,plain,
    ( ~ c_HOL_Oord__class_Oless(v_xa,v_Y____,tc_RealDef_Oreal)
    | c_lessequals(v_xa,v_Y____,tc_RealDef_Oreal) ),
    inference(subst,[],[cls_real__less__def_0:[bind(V_x,$fot(v_xa)),bind(V_y,$fot(v_Y____))]]) ).

cnf(refute_0_3,plain,
    c_lessequals(v_xa,v_Y____,tc_RealDef_Oreal),
    inference(resolve,[$cnf( c_HOL_Oord__class_Oless(v_xa,v_Y____,tc_RealDef_Oreal) )],[refute_0_1,refute_0_2]) ).

cnf(refute_0_4,plain,
    $false,
    inference(resolve,[$cnf( c_lessequals(v_xa,v_Y____,tc_RealDef_Oreal) )],[refute_0_3,cls_conjecture_1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.09  % Problem  : ALG350-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.09  % Command  : metis --show proof --show saturation %s
% 0.09/0.28  % Computer : n032.cluster.edu
% 0.09/0.28  % Model    : x86_64 x86_64
% 0.09/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28  % Memory   : 8042.1875MB
% 0.09/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28  % CPULimit : 300
% 0.09/0.28  % WCLimit  : 600
% 0.09/0.28  % DateTime : Wed Jun  8 22:48:37 EDT 2022
% 0.09/0.28  % CPUTime  : 
% 0.09/0.28  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.48  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.48  
% 0.13/0.48  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.13/0.48  
%------------------------------------------------------------------------------