TSTP Solution File: SYN246-1 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN246-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n013.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 09:00:42 EDT 2022

% Result   : Unsatisfiable 0.20s 0.48s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    9 (   5 unt;   0 nHn;   9 RR)
%            Number of literals    :   15 (   0 equ;   7 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    4 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_24,axiom,
    l0(c) ).

cnf(axiom_32,axiom,
    k0(b) ).

cnf(rule_021,axiom,
    ( m1(I,J,I)
    | ~ l0(I)
    | ~ k0(J) ) ).

cnf(prove_this,negated_conjecture,
    ~ m1(c,b,c) ).

cnf(refute_0_0,plain,
    ( ~ k0(X_163)
    | ~ l0(c)
    | m1(c,X_163,c) ),
    inference(subst,[],[rule_021:[bind(I,$fot(c)),bind(J,$fot(X_163))]]) ).

cnf(refute_0_1,plain,
    ( ~ k0(X_163)
    | m1(c,X_163,c) ),
    inference(resolve,[$cnf( l0(c) )],[axiom_24,refute_0_0]) ).

cnf(refute_0_2,plain,
    ( ~ k0(b)
    | m1(c,b,c) ),
    inference(subst,[],[refute_0_1:[bind(X_163,$fot(b))]]) ).

cnf(refute_0_3,plain,
    m1(c,b,c),
    inference(resolve,[$cnf( k0(b) )],[axiom_32,refute_0_2]) ).

cnf(refute_0_4,plain,
    $false,
    inference(resolve,[$cnf( m1(c,b,c) )],[refute_0_3,prove_this]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SYN246-1 : TPTP v8.1.0. Released v1.1.0.
% 0.10/0.13  % Command  : metis --show proof --show saturation %s
% 0.14/0.34  % Computer : n013.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
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Mon Jul 11 21:22:29 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.48  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48  
% 0.20/0.48  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.20/0.48  
%------------------------------------------------------------------------------