TSTP Solution File: HWV011-3 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : HWV011-3 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n029.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 18:29:38 EDT 2022

% Result   : Unsatisfiable 0.23s 0.52s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   15 (   8 unt;   0 nHn;  14 RR)
%            Number of literals    :   24 (  18 equ;  10 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-1 aty)
%            Number of variables   :    2 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_5,axiom,
    fwork_DOTfifo_DOTrtl_DOTlevel_(T_0) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_0) ).

cnf(axiom_6,axiom,
    ( p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(T_1))
    | fwork_DOTfifo_DOTrtl_DOTint__level_(T_1) != fwork_DOTfifo_DOTrtl_DOTfifo__length_ ) ).

cnf(quest_1,negated_conjecture,
    fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) = fwork_DOTfifo_DOTrtl_DOTfifo__length_ ).

cnf(quest_2,negated_conjecture,
    ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(t_206)) ).

cnf(refute_0_0,plain,
    ( fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) != fwork_DOTfifo_DOTrtl_DOTfifo__length_
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(t_206)) ),
    inference(subst,[],[axiom_6:[bind(T_1,$fot(t_206))]]) ).

cnf(refute_0_1,plain,
    fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),
    inference(subst,[],[axiom_5:[bind(T_0,$fot(t_206))]]) ).

cnf(refute_0_2,plain,
    ( fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) != fwork_DOTfifo_DOTrtl_DOTfifo__length_
    | fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) != fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)
    | fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = fwork_DOTfifo_DOTrtl_DOTfifo__length_ ),
    introduced(tautology,[equality,[$cnf( $equal(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),fwork_DOTfifo_DOTrtl_DOTfifo__length_) ),[0],$fot(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206))]]) ).

cnf(refute_0_3,plain,
    ( fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) != fwork_DOTfifo_DOTrtl_DOTfifo__length_
    | fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = fwork_DOTfifo_DOTrtl_DOTfifo__length_ ),
    inference(resolve,[$cnf( $equal(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)) )],[refute_0_1,refute_0_2]) ).

cnf(refute_0_4,plain,
    fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = fwork_DOTfifo_DOTrtl_DOTfifo__length_,
    inference(resolve,[$cnf( $equal(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),fwork_DOTfifo_DOTrtl_DOTfifo__length_) )],[quest_1,refute_0_3]) ).

cnf(refute_0_5,plain,
    ( fwork_DOTfifo_DOTrtl_DOTfifo__length_ != fwork_DOTfifo_DOTrtl_DOTfifo__length_
    | fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) != fwork_DOTfifo_DOTrtl_DOTfifo__length_
    | fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = fwork_DOTfifo_DOTrtl_DOTfifo__length_ ),
    introduced(tautology,[equality,[$cnf( $equal(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),fwork_DOTfifo_DOTrtl_DOTfifo__length_) ),[1],$fot(fwork_DOTfifo_DOTrtl_DOTfifo__length_)]]) ).

cnf(refute_0_6,plain,
    ( fwork_DOTfifo_DOTrtl_DOTfifo__length_ != fwork_DOTfifo_DOTrtl_DOTfifo__length_
    | fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = fwork_DOTfifo_DOTrtl_DOTfifo__length_ ),
    inference(resolve,[$cnf( $equal(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),fwork_DOTfifo_DOTrtl_DOTfifo__length_) )],[refute_0_4,refute_0_5]) ).

cnf(refute_0_7,plain,
    ( fwork_DOTfifo_DOTrtl_DOTfifo__length_ != fwork_DOTfifo_DOTrtl_DOTfifo__length_
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(t_206)) ),
    inference(resolve,[$cnf( $equal(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),fwork_DOTfifo_DOTrtl_DOTfifo__length_) )],[refute_0_6,refute_0_0]) ).

cnf(refute_0_8,plain,
    fwork_DOTfifo_DOTrtl_DOTfifo__length_ = fwork_DOTfifo_DOTrtl_DOTfifo__length_,
    introduced(tautology,[refl,[$fot(fwork_DOTfifo_DOTrtl_DOTfifo__length_)]]) ).

cnf(refute_0_9,plain,
    p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(t_206)),
    inference(resolve,[$cnf( $equal(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTfifo__length_) )],[refute_0_8,refute_0_7]) ).

cnf(refute_0_10,plain,
    $false,
    inference(resolve,[$cnf( p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(t_206)) )],[refute_0_9,quest_2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : HWV011-3 : TPTP v8.1.0. Released v2.5.0.
% 0.08/0.14  % Command  : metis --show proof --show saturation %s
% 0.15/0.36  % Computer : n029.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 600
% 0.15/0.36  % DateTime : Fri Jun 17 01:10:57 EDT 2022
% 0.15/0.36  % CPUTime  : 
% 0.15/0.37  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.23/0.52  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/0.52  
% 0.23/0.52  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.23/0.52  
%------------------------------------------------------------------------------