%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : HWV028-2 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n016.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 19:14:57 EDT 2022

% Result   : Unsatisfiable 0.18s 0.44s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   13 (   8 unt;   1 nHn;  13 RR)
%            Number of literals    :   19 (   0 equ;   8 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   7 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
    file('HWV028-2.p',unknown),
    [] ).

cnf(2,axiom,
    ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)),fwork_DOTfifo_DOTrtl_DOTfifo__length_),
    file('HWV028-2.p',unknown),
    [] ).

cnf(3,axiom,
    ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0),
    file('HWV028-2.p',unknown),
    [] ).

cnf(7,axiom,
    equal(fwork_DOTfifo_DOTrtl_DOTint__level_(u),fwork_DOTfifo_DOTrtl_DOTlevel_(u)),
    file('HWV028-2.p',unknown),
    [] ).

cnf(14,axiom,
    ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(u))
    | equal(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(u,n1)),n0) ),
    file('HWV028-2.p',unknown),
    [] ).

cnf(73,axiom,
    ( ~ p_LES_EQU_(u,v)
    | p_LES_EQU_(u,w)
    | p_LES_EQU_(w,v) ),
    file('HWV028-2.p',unknown),
    [] ).

cnf(77,axiom,
    p_LES_EQU_(u,u),
    file('HWV028-2.p',unknown),
    [] ).

cnf(141,plain,
    ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(u))
    | equal(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(u,n1)),n0) ),
    inference(rew,[status(thm),theory(equality)],[7,14]),
    [iquote('0:Rew:7.0,14.1')] ).

cnf(197,plain,
    equal(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)),n0),
    inference(res,[status(thm),theory(equality)],[1,141]),
    [iquote('0:Res:1.0,141.0')] ).

cnf(240,plain,
    ( ~ p_LES_EQU_(u,fwork_DOTfifo_DOTrtl_DOTfifo__length_)
    | p_LES_EQU_(u,fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1))) ),
    inference(res,[status(thm),theory(equality)],[73,2]),
    [iquote('0:Res:73.1,2.0')] ).

cnf(245,plain,
    ( ~ p_LES_EQU_(u,fwork_DOTfifo_DOTrtl_DOTfifo__length_)
    | p_LES_EQU_(u,n0) ),
    inference(rew,[status(thm),theory(equality)],[197,240]),
    [iquote('0:Rew:197.0,240.1')] ).

cnf(249,plain,
    ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTfifo__length_),
    inference(res,[status(thm),theory(equality)],[245,3]),
    [iquote('0:Res:245.1,3.0')] ).

cnf(251,plain,
    $false,
    inference(mrr,[status(thm)],[249,77]),
    [iquote('0:MRR:249.0,77.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : HWV028-2 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12  % Command  : run_spass %d %s
% 0.11/0.33  % Computer : n016.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Thu Jun 16 22:40:49 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.18/0.44  
% 0.18/0.44  SPASS V 3.9 
% 0.18/0.44  SPASS beiseite: Proof found.
% 0.18/0.44  % SZS status Theorem
% 0.18/0.44  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.18/0.44  SPASS derived 25 clauses, backtracked 0 clauses, performed 0 splits and kept 159 clauses.
% 0.18/0.44  SPASS allocated 75861 KBytes.
% 0.18/0.44  SPASS spent	0:00:00.09 on the problem.
% 0.18/0.44  		0:00:00.04 for the input.
% 0.18/0.44  		0:00:00.00 for the FLOTTER CNF translation.
% 0.18/0.44  		0:00:00.00 for inferences.
% 0.18/0.44  		0:00:00.00 for the backtracking.
% 0.18/0.44  		0:00:00.02 for the reduction.
% 0.18/0.44  
% 0.18/0.44  
% 0.18/0.44  Here is a proof with depth 2, length 13 :
% 0.18/0.44  % SZS output start Refutation
% See solution above
% 0.18/0.44  Formulae used in the proof : quest_1 quest_2 quest_3 axiom_5 axiom_12 axiom_71 axiom_75
% 0.18/0.44  
%------------------------------------------------------------------------------