TSTP Solution File: HWV025-1 by SPASS---3.9

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%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : HWV025-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n006.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 19:14:54 EDT 2022

% Result   : Unsatisfiable 0.19s 0.44s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   17 (   5 unt;   9 nHn;  17 RR)
%            Number of literals    :   47 (   0 equ;  18 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 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_Rd(t_139),
    file('HWV025-1.p',unknown),
    [] ).

cnf(2,axiom,
    ~ p_Reset(t_139),
    file('HWV025-1.p',unknown),
    [] ).

cnf(3,axiom,
    ( ~ p_Rd_error(t_139)
    | ~ p_Rd_error(plus(t_139,n1)) ),
    file('HWV025-1.p',unknown),
    [] ).

cnf(4,axiom,
    ( p_Rd_error(t_139)
    | p_Rd_error(plus(t_139,n1)) ),
    file('HWV025-1.p',unknown),
    [] ).

cnf(34,axiom,
    ( ~ p_Reset(u)
    | ~ p_Rd_error(plus(u,n1)) ),
    file('HWV025-1.p',unknown),
    [] ).

cnf(53,axiom,
    ( ~ p_Wr(u)
    | ~ p_Rd_error(plus(u,n1))
    | p_Reset(u)
    | p_Rd(u)
    | p_Rd_error(u) ),
    file('HWV025-1.p',unknown),
    [] ).

cnf(54,axiom,
    ( ~ p_Wr(u)
    | ~ p_Rd_error(u)
    | p_Reset(u)
    | p_Rd(u)
    | p_Rd_error(plus(u,n1)) ),
    file('HWV025-1.p',unknown),
    [] ).

cnf(89,axiom,
    ( ~ p_Rd_error(plus(u,n1))
    | p_Reset(u)
    | p_Wr(u)
    | p_Rd(u)
    | p_Rd_error(u) ),
    file('HWV025-1.p',unknown),
    [] ).

cnf(90,axiom,
    ( ~ p_Rd_error(u)
    | p_Reset(u)
    | p_Wr(u)
    | p_Rd(u)
    | p_Rd_error(plus(u,n1)) ),
    file('HWV025-1.p',unknown),
    [] ).

cnf(101,plain,
    ( ~ p_Rd_error(plus(u,n1))
    | p_Wr(u)
    | p_Rd(u)
    | p_Rd_error(u) ),
    inference(mrr,[status(thm)],[89,34]),
    [iquote('0:MRR:89.1,34.0')] ).

cnf(104,plain,
    ( ~ p_Rd_error(u)
    | p_Rd(u)
    | p_Reset(u)
    | p_Rd_error(plus(u,n1)) ),
    inference(mrr,[status(thm)],[54,90]),
    [iquote('0:MRR:54.0,90.2')] ).

cnf(105,plain,
    ( ~ p_Rd_error(plus(u,n1))
    | p_Rd_error(u)
    | p_Rd(u) ),
    inference(mrr,[status(thm)],[53,101,34]),
    [iquote('0:MRR:53.0,53.2,101.1,34.0')] ).

cnf(194,plain,
    ( ~ p_Rd_error(t_139)
    | p_Rd(t_139)
    | p_Rd_error(plus(t_139,n1)) ),
    inference(res,[status(thm),theory(equality)],[104,2]),
    [iquote('0:Res:104.1,2.0')] ).

cnf(208,plain,
    ( ~ p_Rd_error(plus(t_139,n1))
    | p_Rd_error(t_139) ),
    inference(res,[status(thm),theory(equality)],[105,1]),
    [iquote('0:Res:105.1,1.0')] ).

cnf(215,plain,
    p_Rd_error(t_139),
    inference(mrr,[status(thm)],[208,4]),
    [iquote('0:MRR:208.0,4.1')] ).

cnf(216,plain,
    ~ p_Rd_error(plus(t_139,n1)),
    inference(mrr,[status(thm)],[3,215]),
    [iquote('0:MRR:3.0,215.0')] ).

cnf(218,plain,
    $false,
    inference(mrr,[status(thm)],[194,215,1,216]),
    [iquote('0:MRR:194.0,194.1,194.2,215.0,1.0,216.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : HWV025-1 : TPTP v8.1.0. Released v2.5.0.
% 0.13/0.13  % Command  : run_spass %d %s
% 0.13/0.34  % Computer : n006.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 01:39:26 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 39 clauses, backtracked 0 clauses, performed 0 splits and kept 96 clauses.
% 0.19/0.44  SPASS allocated 75786 KBytes.
% 0.19/0.44  SPASS spent	0:00:00.08 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  		0:00:00.01 for the reduction.
% 0.19/0.44  
% 0.19/0.44  
% 0.19/0.44  Here is a proof with depth 1, length 17 :
% 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 axiom_30 axiom_49 axiom_50 axiom_85 axiom_86
% 0.19/0.44  
%------------------------------------------------------------------------------