TSTP Solution File: SYN003-1.006 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN003-1.006 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %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 : Thu Jul 21 08:58:18 EDT 2022

% Result   : Unsatisfiable 0.15s 0.37s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   29 (  14 unt;   0 nHn;  29 RR)
%            Number of literals    :   49 (   0 equ;  21 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :   13 (  12 usr;  13 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(pqp_1,negated_conjecture,
    ( ~ p_1
    | ~ q_1
    | p_2 ) ).

cnf(pqp_2,negated_conjecture,
    ( ~ p_2
    | ~ q_2
    | p_3 ) ).

cnf(pqp_3,negated_conjecture,
    ( ~ p_3
    | ~ q_3
    | p_4 ) ).

cnf(pqp_4,negated_conjecture,
    ( ~ p_4
    | ~ q_4
    | p_5 ) ).

cnf(pqp_5,negated_conjecture,
    ( ~ p_5
    | ~ q_5
    | p_6 ) ).

cnf(qq_1,negated_conjecture,
    ( ~ q
    | q_1 ) ).

cnf(qq_2,negated_conjecture,
    ( ~ q
    | q_2 ) ).

cnf(qq_3,negated_conjecture,
    ( ~ q
    | q_3 ) ).

cnf(qq_4,negated_conjecture,
    ( ~ q
    | q_4 ) ).

cnf(qq_5,negated_conjecture,
    ( ~ q
    | q_5 ) ).

cnf(base_1,negated_conjecture,
    p_1 ).

cnf(base_2,negated_conjecture,
    ~ p_6 ).

cnf(base_3,negated_conjecture,
    q ).

cnf(refute_0_0,plain,
    ( ~ q_1
    | p_2 ),
    inference(resolve,[$cnf( p_1 )],[base_1,pqp_1]) ).

cnf(refute_0_1,plain,
    q_1,
    inference(resolve,[$cnf( q )],[base_3,qq_1]) ).

cnf(refute_0_2,plain,
    p_2,
    inference(resolve,[$cnf( q_1 )],[refute_0_1,refute_0_0]) ).

cnf(refute_0_3,plain,
    ( ~ q_2
    | p_3 ),
    inference(resolve,[$cnf( p_2 )],[refute_0_2,pqp_2]) ).

cnf(refute_0_4,plain,
    q_2,
    inference(resolve,[$cnf( q )],[base_3,qq_2]) ).

cnf(refute_0_5,plain,
    p_3,
    inference(resolve,[$cnf( q_2 )],[refute_0_4,refute_0_3]) ).

cnf(refute_0_6,plain,
    ( ~ q_3
    | p_4 ),
    inference(resolve,[$cnf( p_3 )],[refute_0_5,pqp_3]) ).

cnf(refute_0_7,plain,
    q_3,
    inference(resolve,[$cnf( q )],[base_3,qq_3]) ).

cnf(refute_0_8,plain,
    p_4,
    inference(resolve,[$cnf( q_3 )],[refute_0_7,refute_0_6]) ).

cnf(refute_0_9,plain,
    ( ~ q_4
    | p_5 ),
    inference(resolve,[$cnf( p_4 )],[refute_0_8,pqp_4]) ).

cnf(refute_0_10,plain,
    q_4,
    inference(resolve,[$cnf( q )],[base_3,qq_4]) ).

cnf(refute_0_11,plain,
    p_5,
    inference(resolve,[$cnf( q_4 )],[refute_0_10,refute_0_9]) ).

cnf(refute_0_12,plain,
    ( ~ q_5
    | p_6 ),
    inference(resolve,[$cnf( p_5 )],[refute_0_11,pqp_5]) ).

cnf(refute_0_13,plain,
    q_5,
    inference(resolve,[$cnf( q )],[base_3,qq_5]) ).

cnf(refute_0_14,plain,
    p_6,
    inference(resolve,[$cnf( q_5 )],[refute_0_13,refute_0_12]) ).

cnf(refute_0_15,plain,
    $false,
    inference(resolve,[$cnf( p_6 )],[refute_0_14,base_2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem  : SYN003-1.006 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.14  % Command  : metis --show proof --show saturation %s
% 0.15/0.36  % Computer : n006.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 600
% 0.15/0.36  % DateTime : Mon Jul 11 12:26:50 EDT 2022
% 0.15/0.36  % CPUTime  : 
% 0.15/0.37  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.15/0.37  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.37  
% 0.15/0.37  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.15/0.37  
%------------------------------------------------------------------------------