TSTP Solution File: HWV019-2 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : HWV019-2 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n023.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 19:14:50 EDT 2022

% Result   : Unsatisfiable 0.18s 0.46s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   12 (   5 unt;   2 nHn;  12 RR)
%            Number of literals    :   29 (   0 equ;  16 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   4 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(t_206,n1))),
    file('HWV019-2.p',unknown),
    [] ).

cnf(3,axiom,
    p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
    file('HWV019-2.p',unknown),
    [] ).

cnf(4,axiom,
    ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)),
    file('HWV019-2.p',unknown),
    [] ).

cnf(8,axiom,
    equal(fwork_DOTfifo_DOTrtl_DOTint__level_(u),fwork_DOTfifo_DOTrtl_DOTlevel_(u)),
    file('HWV019-2.p',unknown),
    [] ).

cnf(16,axiom,
    ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(u))
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(u,n1))) ),
    file('HWV019-2.p',unknown),
    [] ).

cnf(25,axiom,
    ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(u,n1)))
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(u))
    | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(u))
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(u))
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(u)) ),
    file('HWV019-2.p',unknown),
    [] ).

cnf(44,axiom,
    ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(u,n1)))
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(u))
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(u))
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(u)) ),
    file('HWV019-2.p',unknown),
    [] ).

cnf(145,plain,
    ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(u))
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(u))
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(u,n1))) ),
    inference(mrr,[status(thm)],[44,16]),
    [iquote('0:MRR:44.3,16.1')] ).

cnf(150,plain,
    ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(u,n1)))
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(u))
    | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(u))
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(u))
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(u)) ),
    inference(rew,[status(thm),theory(equality)],[8,25]),
    [iquote('0:Rew:8.0,25.2')] ).

cnf(151,plain,
    ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(u))
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(u,n1)))
    | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(u)) ),
    inference(mrr,[status(thm)],[150,145,16]),
    [iquote('0:MRR:150.3,150.4,145.1,16.1')] ).

cnf(301,plain,
    ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
    | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)) ),
    inference(res,[status(thm),theory(equality)],[1,151]),
    [iquote('0:Res:1.0,151.0')] ).

cnf(311,plain,
    $false,
    inference(mrr,[status(thm)],[301,3,4]),
    [iquote('0:MRR:301.0,301.1,3.0,4.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13  % Problem  : HWV019-2 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.14  % Command  : run_spass %d %s
% 0.12/0.35  % Computer : n023.cluster.edu
% 0.12/0.35  % Model    : x86_64 x86_64
% 0.12/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35  % Memory   : 8042.1875MB
% 0.12/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit : 300
% 0.12/0.35  % WCLimit  : 600
% 0.12/0.35  % DateTime : Fri Jun 17 07:49:49 EDT 2022
% 0.12/0.36  % CPUTime  : 
% 0.18/0.46  
% 0.18/0.46  SPASS V 3.9 
% 0.18/0.46  SPASS beiseite: Proof found.
% 0.18/0.46  % SZS status Theorem
% 0.18/0.46  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.18/0.46  SPASS derived 47 clauses, backtracked 0 clauses, performed 0 splits and kept 140 clauses.
% 0.18/0.46  SPASS allocated 75900 KBytes.
% 0.18/0.46  SPASS spent	0:00:00.09 on the problem.
% 0.18/0.46  		0:00:00.04 for the input.
% 0.18/0.46  		0:00:00.00 for the FLOTTER CNF translation.
% 0.18/0.46  		0:00:00.00 for inferences.
% 0.18/0.46  		0:00:00.00 for the backtracking.
% 0.18/0.46  		0:00:00.02 for the reduction.
% 0.18/0.46  
% 0.18/0.46  
% 0.18/0.46  Here is a proof with depth 1, length 12 :
% 0.18/0.46  % SZS output start Refutation
% See solution above
% 0.18/0.46  Formulae used in the proof : quest_1 quest_3 quest_4 axiom_5 axiom_13 axiom_22 axiom_41
% 0.18/0.46  
%------------------------------------------------------------------------------