%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : HWV030-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n014.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 18:29:48 EDT 2022

% Result   : Unsatisfiable 0.13s 0.39s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   10 (   6 unt;   0 nHn;  10 RR)
%            Number of literals    :   15 (   4 equ;   7 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :    1 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_27,axiom,
    ( ~ p_Reset(X_t_37)
    | wr_level(plus(X_t_37,n1)) = n0 ) ).

cnf(quest_1,negated_conjecture,
    p_Reset(t_139) ).

cnf(quest_2,negated_conjecture,
    ~ gt(fifo_length,wr_level(plus(t_139,n1))) ).

cnf(quest_3,negated_conjecture,
    gt(fifo_length,n0) ).

cnf(refute_0_0,plain,
    ( ~ p_Reset(t_139)
    | wr_level(plus(t_139,n1)) = n0 ),
    inference(subst,[],[axiom_27:[bind(X_t_37,$fot(t_139))]]) ).

cnf(refute_0_1,plain,
    wr_level(plus(t_139,n1)) = n0,
    inference(resolve,[$cnf( p_Reset(t_139) )],[quest_1,refute_0_0]) ).

cnf(refute_0_2,plain,
    ( wr_level(plus(t_139,n1)) != n0
    | ~ gt(fifo_length,n0)
    | gt(fifo_length,wr_level(plus(t_139,n1))) ),
    introduced(tautology,[equality,[$cnf( ~ gt(fifo_length,wr_level(plus(t_139,n1))) ),[1],$fot(n0)]]) ).

cnf(refute_0_3,plain,
    ( ~ gt(fifo_length,n0)
    | gt(fifo_length,wr_level(plus(t_139,n1))) ),
    inference(resolve,[$cnf( $equal(wr_level(plus(t_139,n1)),n0) )],[refute_0_1,refute_0_2]) ).

cnf(refute_0_4,plain,
    ~ gt(fifo_length,n0),
    inference(resolve,[$cnf( gt(fifo_length,wr_level(plus(t_139,n1))) )],[refute_0_3,quest_2]) ).

cnf(refute_0_5,plain,
    $false,
    inference(resolve,[$cnf( gt(fifo_length,n0) )],[quest_3,refute_0_4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : HWV030-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.34  % Computer : n014.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 07:27:49 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.39  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.39  
% 0.13/0.39  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.13/0.39  
%------------------------------------------------------------------------------