%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : HWV014-2 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n025.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 19:14:47 EDT 2022

% Result   : Unsatisfiable 0.19s 0.44s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   10 (   7 unt;   3 nHn;  10 RR)
%            Number of literals    :   21 (   0 equ;   7 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_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n0),
    file('HWV014-2.p',unknown),
    [] ).

cnf(2,axiom,
    ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
    file('HWV014-2.p',unknown),
    [] ).

cnf(3,axiom,
    ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
    file('HWV014-2.p',unknown),
    [] ).

cnf(4,axiom,
    p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
    file('HWV014-2.p',unknown),
    [] ).

cnf(5,axiom,
    ~ equal(f_SUB_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n1),fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1))),
    file('HWV014-2.p',unknown),
    [] ).

cnf(9,axiom,
    equal(fwork_DOTfifo_DOTrtl_DOTint__level_(u),fwork_DOTfifo_DOTrtl_DOTlevel_(u)),
    file('HWV014-2.p',unknown),
    [] ).

cnf(47,axiom,
    ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(u))
    | equal(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(u,n1)),f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(u),n1))
    | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(u),n0)
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(u))
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(u)) ),
    file('HWV014-2.p',unknown),
    [] ).

cnf(173,plain,
    ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(u))
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(u))
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(u))
    | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(u),n0)
    | equal(f_SUB_(fwork_DOTfifo_DOTrtl_DOTlevel_(u),n1),fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(u,n1))) ),
    inference(rew,[status(thm),theory(equality)],[9,47]),
    [iquote('0:Rew:9.0,47.2,9.0,47.1,9.0,47.1')] ).

cnf(318,plain,
    ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
    | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n0)
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
    inference(res,[status(thm),theory(equality)],[173,5]),
    [iquote('0:Res:173.1,5.0')] ).

cnf(331,plain,
    $false,
    inference(mrr,[status(thm)],[318,4,1,2,3]),
    [iquote('0:MRR:318.0,318.1,318.2,318.3,4.0,1.0,2.0,3.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : HWV014-2 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.13  % Command  : run_spass %d %s
% 0.13/0.34  % Computer : n025.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Fri Jun 17 10:00:57 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.44  
% 0.19/0.44  SPASS V 3.9 
% 0.19/0.44  SPASS beiseite: Proof found.
% 0.19/0.44  % SZS status Theorem
% 0.19/0.44  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.44  SPASS derived 55 clauses, backtracked 0 clauses, performed 0 splits and kept 146 clauses.
% 0.19/0.44  SPASS allocated 75916 KBytes.
% 0.19/0.44  SPASS spent	0:00:00.09 on the problem.
% 0.19/0.44  		0:00:00.04 for the input.
% 0.19/0.44  		0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.44  		0:00:00.00 for inferences.
% 0.19/0.44  		0:00:00.00 for the backtracking.
% 0.19/0.44  		0:00:00.02 for the reduction.
% 0.19/0.44  
% 0.19/0.44  
% 0.19/0.44  Here is a proof with depth 1, length 10 :
% 0.19/0.44  % SZS output start Refutation
% See solution above
% 0.19/0.44  Formulae used in the proof : quest_1 quest_2 quest_3 quest_4 quest_5 axiom_5 axiom_43
% 0.19/0.44  
%------------------------------------------------------------------------------