TSTP Solution File: SYN044-1 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN044-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n011.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 08:58:50 EDT 2022

% Result   : Unsatisfiable 0.14s 0.35s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   12 (   4 unt;   4 nHn;  12 RR)
%            Number of literals    :   21 (   0 equ;   7 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :    4 (   3 usr;   4 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause_1,axiom,
    ( ~ q
    | r ) ).

cnf(clause_2,axiom,
    ( ~ r
    | p ) ).

cnf(clause_3,axiom,
    ( ~ r
    | q ) ).

cnf(clause_4,axiom,
    ( ~ p
    | q
    | r ) ).

cnf(clause_5,negated_conjecture,
    ( ~ p
    | ~ q ) ).

cnf(clause_6,negated_conjecture,
    ( p
    | q ) ).

cnf(refute_0_0,plain,
    ( p
    | r ),
    inference(resolve,[$cnf( q )],[clause_6,clause_1]) ).

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

cnf(refute_0_2,plain,
    ( q
    | r ),
    inference(resolve,[$cnf( p )],[refute_0_1,clause_4]) ).

cnf(refute_0_3,plain,
    q,
    inference(resolve,[$cnf( r )],[refute_0_2,clause_3]) ).

cnf(refute_0_4,plain,
    ~ p,
    inference(resolve,[$cnf( q )],[refute_0_3,clause_5]) ).

cnf(refute_0_5,plain,
    $false,
    inference(resolve,[$cnf( p )],[refute_0_1,refute_0_4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SYN044-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command  : metis --show proof --show saturation %s
% 0.14/0.34  % Computer : n011.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Tue Jul 12 00:54:27 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.14/0.35  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  
% 0.14/0.35  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.14/0.35  
%------------------------------------------------------------------------------