%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : HWV026-1 : 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 19:14:55 EDT 2022

% Result   : Unsatisfiable 0.18s 0.42s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   13 (   5 unt;   5 nHn;  13 RR)
%            Number of literals    :   27 (   0 equ;  12 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ~ p_Wr(t_139),
    file('HWV026-1.p',unknown),
    [] ).

cnf(2,axiom,
    ~ p_Reset(t_139),
    file('HWV026-1.p',unknown),
    [] ).

cnf(3,axiom,
    ( ~ p_Wr_error(t_139)
    | ~ p_Wr_error(plus(t_139,n1)) ),
    file('HWV026-1.p',unknown),
    [] ).

cnf(4,axiom,
    ( p_Wr_error(t_139)
    | p_Wr_error(plus(t_139,n1)) ),
    file('HWV026-1.p',unknown),
    [] ).

cnf(33,axiom,
    ( ~ p_Reset(u)
    | ~ p_Wr_error(plus(u,n1)) ),
    file('HWV026-1.p',unknown),
    [] ).

cnf(93,axiom,
    ( ~ p_Wr_error(plus(u,n1))
    | p_Reset(u)
    | p_Wr(u)
    | p_Wr_error(u) ),
    file('HWV026-1.p',unknown),
    [] ).

cnf(94,axiom,
    ( ~ p_Wr_error(u)
    | p_Wr(u)
    | p_Reset(u)
    | p_Wr_error(plus(u,n1)) ),
    file('HWV026-1.p',unknown),
    [] ).

cnf(100,plain,
    ( ~ p_Wr_error(plus(u,n1))
    | p_Wr_error(u)
    | p_Wr(u) ),
    inference(mrr,[status(thm)],[93,33]),
    [iquote('0:MRR:93.1,33.0')] ).

cnf(197,plain,
    ( ~ p_Wr_error(t_139)
    | p_Wr(t_139)
    | p_Wr_error(plus(t_139,n1)) ),
    inference(res,[status(thm),theory(equality)],[94,2]),
    [iquote('0:Res:94.1,2.0')] ).

cnf(207,plain,
    ( ~ p_Wr_error(plus(t_139,n1))
    | p_Wr_error(t_139) ),
    inference(res,[status(thm),theory(equality)],[100,1]),
    [iquote('0:Res:100.1,1.0')] ).

cnf(211,plain,
    p_Wr_error(t_139),
    inference(mrr,[status(thm)],[207,4]),
    [iquote('0:MRR:207.0,4.1')] ).

cnf(212,plain,
    ~ p_Wr_error(plus(t_139,n1)),
    inference(mrr,[status(thm)],[3,211]),
    [iquote('0:MRR:3.0,211.0')] ).

cnf(214,plain,
    $false,
    inference(mrr,[status(thm)],[197,211,1,212]),
    [iquote('0:MRR:197.0,197.1,197.2,211.0,1.0,212.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : HWV026-1 : TPTP v8.1.0. Released v2.5.0.
% 0.10/0.12  % Command  : run_spass %d %s
% 0.11/0.33  % Computer : n025.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 : Fri Jun 17 08:49:42 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.18/0.42  
% 0.18/0.42  SPASS V 3.9 
% 0.18/0.42  SPASS beiseite: Proof found.
% 0.18/0.42  % SZS status Theorem
% 0.18/0.42  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.18/0.42  SPASS derived 35 clauses, backtracked 0 clauses, performed 0 splits and kept 98 clauses.
% 0.18/0.42  SPASS allocated 75782 KBytes.
% 0.18/0.42  SPASS spent	0:00:00.08 on the problem.
% 0.18/0.42  		0:00:00.04 for the input.
% 0.18/0.42  		0:00:00.00 for the FLOTTER CNF translation.
% 0.18/0.42  		0:00:00.00 for inferences.
% 0.18/0.42  		0:00:00.00 for the backtracking.
% 0.18/0.42  		0:00:00.01 for the reduction.
% 0.18/0.42  
% 0.18/0.42  
% 0.18/0.42  Here is a proof with depth 1, length 13 :
% 0.18/0.42  % SZS output start Refutation
% See solution above
% 0.18/0.42  Formulae used in the proof : quest_1 quest_2 quest_3 quest_4 axiom_29 axiom_89 axiom_90
% 0.18/0.42  
%------------------------------------------------------------------------------