TSTP Solution File: HWV030-2 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : HWV030-2 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %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  : 600s
% DateTime : Sat Jul 16 18:29:48 EDT 2022

% Result   : Unsatisfiable 0.39s 0.61s
% Output   : CNFRefutation 0.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   10 (   6 unt;   0 nHn;  10 RR)
%            Number of literals    :   15 (   4 equ;   6 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :    1 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_11,axiom,
    ( fwork_DOTfifo_DOTrtl_DOTwr__level_(f_ADD_(T_5,n1)) = n0
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5)) ) ).

cnf(quest_1,negated_conjecture,
    p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ).

cnf(quest_2,negated_conjecture,
    p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTwr__level_(f_ADD_(t_206,n1))) ).

cnf(quest_3,negated_conjecture,
    ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0) ).

cnf(refute_0_0,plain,
    ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
    | fwork_DOTfifo_DOTrtl_DOTwr__level_(f_ADD_(t_206,n1)) = n0 ),
    inference(subst,[],[axiom_11:[bind(T_5,$fot(t_206))]]) ).

cnf(refute_0_1,plain,
    fwork_DOTfifo_DOTrtl_DOTwr__level_(f_ADD_(t_206,n1)) = n0,
    inference(resolve,[$cnf( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) )],[quest_1,refute_0_0]) ).

cnf(refute_0_2,plain,
    ( fwork_DOTfifo_DOTrtl_DOTwr__level_(f_ADD_(t_206,n1)) != n0
    | ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTwr__level_(f_ADD_(t_206,n1)))
    | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0) ),
    introduced(tautology,[equality,[$cnf( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTwr__level_(f_ADD_(t_206,n1))) ),[1],$fot(n0)]]) ).

cnf(refute_0_3,plain,
    ( ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTwr__level_(f_ADD_(t_206,n1)))
    | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0) ),
    inference(resolve,[$cnf( $equal(fwork_DOTfifo_DOTrtl_DOTwr__level_(f_ADD_(t_206,n1)),n0) )],[refute_0_1,refute_0_2]) ).

cnf(refute_0_4,plain,
    p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0),
    inference(resolve,[$cnf( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTwr__level_(f_ADD_(t_206,n1))) )],[quest_2,refute_0_3]) ).

cnf(refute_0_5,plain,
    $false,
    inference(resolve,[$cnf( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0) )],[refute_0_4,quest_3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : HWV030-2 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n008.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Fri Jun 17 02:57:07 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.39/0.61  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/0.61  
% 0.39/0.61  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.39/0.61  
%------------------------------------------------------------------------------