↑ Up

Metis---2.4.UNS-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN051-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n016.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 : Thu Jul 21 08:58:58 EDT 2022

% Result   : Unsatisfiable 0.19s 0.34s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   10 (   5 unt;   2 nHn;   9 RR)
%            Number of literals    :   15 (   0 equ;   6 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   2 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    3 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause_1,axiom,
    ( ~ p
    | big_f(a) ) ).

cnf(clause_2,axiom,
    ( ~ big_f(b)
    | p ) ).

cnf(clause_3,negated_conjecture,
    ( p
    | big_f(X) ) ).

cnf(clause_4,negated_conjecture,
    ( ~ big_f(X)
    | ~ p ) ).

cnf(refute_0_0,plain,
    ( big_f(b)
    | p ),
    inference(subst,[],[clause_3:[bind(X,$fot(b))]]) ).

cnf(refute_0_1,plain,
    p,
    inference(resolve,[$cnf( big_f(b) )],[refute_0_0,clause_2]) ).

cnf(refute_0_2,plain,
    big_f(a),
    inference(resolve,[$cnf( p )],[refute_0_1,clause_1]) ).

cnf(refute_0_3,plain,
    ~ big_f(X),
    inference(resolve,[$cnf( p )],[refute_0_1,clause_4]) ).

cnf(refute_0_4,plain,
    ~ big_f(a),
    inference(subst,[],[refute_0_3:[bind(X,$fot(a))]]) ).

cnf(refute_0_5,plain,
    $false,
    inference(resolve,[$cnf( big_f(a) )],[refute_0_2,refute_0_4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SYN051-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n016.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 : Mon Jul 11 18:38:43 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.34  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.34  
% 0.19/0.34  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.34  
%------------------------------------------------------------------------------