TSTP Solution File: SYN281-1 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN281-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n023.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 09:00:56 EDT 2022

% Result   : Unsatisfiable 0.18s 0.47s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of clauses     :   10 (   8 unt;   0 nHn;   6 RR)
%            Number of literals    :   13 (   0 equ;   5 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :    8 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_19,axiom,
    m0(X,d,Y) ).

cnf(rule_107,axiom,
    ( q1(e,A,A)
    | ~ m0(A,d,A)
    | ~ m0(e,d,A) ) ).

cnf(prove_this,negated_conjecture,
    ~ q1(X,c,c) ).

cnf(refute_0_0,plain,
    ~ q1(e,c,c),
    inference(subst,[],[prove_this:[bind(X,$fot(e))]]) ).

cnf(refute_0_1,plain,
    m0(A,d,A),
    inference(subst,[],[axiom_19:[bind(X,$fot(A)),bind(Y,$fot(A))]]) ).

cnf(refute_0_2,plain,
    ( ~ m0(e,d,A)
    | q1(e,A,A) ),
    inference(resolve,[$cnf( m0(A,d,A) )],[refute_0_1,rule_107]) ).

cnf(refute_0_3,plain,
    m0(e,d,A),
    inference(subst,[],[axiom_19:[bind(X,$fot(e)),bind(Y,$fot(A))]]) ).

cnf(refute_0_4,plain,
    q1(e,A,A),
    inference(resolve,[$cnf( m0(e,d,A) )],[refute_0_3,refute_0_2]) ).

cnf(refute_0_5,plain,
    q1(e,c,c),
    inference(subst,[],[refute_0_4:[bind(A,$fot(c))]]) ).

cnf(refute_0_6,plain,
    $false,
    inference(resolve,[$cnf( q1(e,c,c) )],[refute_0_5,refute_0_0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SYN281-1 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n023.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 16:24:24 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.18/0.47  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.47  
% 0.18/0.47  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.18/0.47  
%------------------------------------------------------------------------------