%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : HWV026-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n018.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 18:29:46 EDT 2022

% Result   : Unsatisfiable 0.19s 0.46s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   16 (   6 unt;   9 nHn;  16 RR)
%            Number of literals    :   36 (   0 equ;   9 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    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :    2 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_89,axiom,
    ( p_Reset(X_t_42)
    | p_Wr(X_t_42)
    | ~ p_Wr_error(plus(X_t_42,n1))
    | p_Wr_error(X_t_42) ) ).

cnf(axiom_90,axiom,
    ( p_Reset(X_t_42)
    | p_Wr(X_t_42)
    | p_Wr_error(plus(X_t_42,n1))
    | ~ p_Wr_error(X_t_42) ) ).

cnf(quest_1,negated_conjecture,
    ~ p_Wr(t_139) ).

cnf(quest_2,negated_conjecture,
    ~ p_Reset(t_139) ).

cnf(quest_3,negated_conjecture,
    ( ~ p_Wr_error(t_139)
    | ~ p_Wr_error(plus(t_139,n1)) ) ).

cnf(quest_4,negated_conjecture,
    ( p_Wr_error(t_139)
    | p_Wr_error(plus(t_139,n1)) ) ).

cnf(refute_0_0,plain,
    ( ~ p_Wr_error(t_139)
    | p_Reset(t_139)
    | p_Wr(t_139)
    | p_Wr_error(plus(t_139,n1)) ),
    inference(subst,[],[axiom_90:[bind(X_t_42,$fot(t_139))]]) ).

cnf(refute_0_1,plain,
    ( ~ p_Wr_error(plus(t_139,n1))
    | p_Reset(t_139)
    | p_Wr(t_139)
    | p_Wr_error(t_139) ),
    inference(subst,[],[axiom_89:[bind(X_t_42,$fot(t_139))]]) ).

cnf(refute_0_2,plain,
    ( p_Reset(t_139)
    | p_Wr(t_139)
    | p_Wr_error(t_139) ),
    inference(resolve,[$cnf( p_Wr_error(plus(t_139,n1)) )],[quest_4,refute_0_1]) ).

cnf(refute_0_3,plain,
    ( p_Wr(t_139)
    | p_Wr_error(t_139) ),
    inference(resolve,[$cnf( p_Reset(t_139) )],[refute_0_2,quest_2]) ).

cnf(refute_0_4,plain,
    p_Wr_error(t_139),
    inference(resolve,[$cnf( p_Wr(t_139) )],[refute_0_3,quest_1]) ).

cnf(refute_0_5,plain,
    ( p_Reset(t_139)
    | p_Wr(t_139)
    | p_Wr_error(plus(t_139,n1)) ),
    inference(resolve,[$cnf( p_Wr_error(t_139) )],[refute_0_4,refute_0_0]) ).

cnf(refute_0_6,plain,
    ( p_Wr(t_139)
    | p_Wr_error(plus(t_139,n1)) ),
    inference(resolve,[$cnf( p_Reset(t_139) )],[refute_0_5,quest_2]) ).

cnf(refute_0_7,plain,
    p_Wr_error(plus(t_139,n1)),
    inference(resolve,[$cnf( p_Wr(t_139) )],[refute_0_6,quest_1]) ).

cnf(refute_0_8,plain,
    ~ p_Wr_error(t_139),
    inference(resolve,[$cnf( p_Wr_error(plus(t_139,n1)) )],[refute_0_7,quest_3]) ).

cnf(refute_0_9,plain,
    $false,
    inference(resolve,[$cnf( p_Wr_error(t_139) )],[refute_0_4,refute_0_8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : HWV026-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n018.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Fri Jun 17 08:44:01 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.46  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  
% 0.19/0.46  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.46  
%------------------------------------------------------------------------------