TSTP Solution File: SYN217-1 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN217-1 : 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 09:00:31 EDT 2022

% Result   : Unsatisfiable 0.21s 0.54s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   17 (   8 unt;   0 nHn;  15 RR)
%            Number of literals    :   33 (   0 equ;  17 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   13 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_14,axiom,
    p0(b,X) ).

cnf(axiom_20,axiom,
    l0(a) ).

cnf(axiom_31,axiom,
    m0(b,b,e) ).

cnf(rule_015,axiom,
    ( m1(B,C,C)
    | ~ l0(D)
    | ~ m0(C,C,B) ) ).

cnf(rule_134,axiom,
    ( l2(G,G)
    | ~ m0(H,G,I)
    | ~ m1(I,H,H)
    | ~ p0(H,G) ) ).

cnf(prove_this,negated_conjecture,
    ~ l2(b,b) ).

cnf(refute_0_0,plain,
    ( ~ l0(X_293)
    | ~ m0(b,b,e)
    | m1(e,b,b) ),
    inference(subst,[],[rule_015:[bind(B,$fot(e)),bind(C,$fot(b)),bind(D,$fot(X_293))]]) ).

cnf(refute_0_1,plain,
    ( ~ l0(X_293)
    | m1(e,b,b) ),
    inference(resolve,[$cnf( m0(b,b,e) )],[axiom_31,refute_0_0]) ).

cnf(refute_0_2,plain,
    ( ~ l0(a)
    | m1(e,b,b) ),
    inference(subst,[],[refute_0_1:[bind(X_293,$fot(a))]]) ).

cnf(refute_0_3,plain,
    m1(e,b,b),
    inference(resolve,[$cnf( l0(a) )],[axiom_20,refute_0_2]) ).

cnf(refute_0_4,plain,
    ( ~ m0(b,X_660,e)
    | ~ m1(e,b,b)
    | ~ p0(b,X_660)
    | l2(X_660,X_660) ),
    inference(subst,[],[rule_134:[bind(G,$fot(X_660)),bind(H,$fot(b)),bind(I,$fot(e))]]) ).

cnf(refute_0_5,plain,
    ( ~ m0(b,X_660,e)
    | ~ p0(b,X_660)
    | l2(X_660,X_660) ),
    inference(resolve,[$cnf( m1(e,b,b) )],[refute_0_3,refute_0_4]) ).

cnf(refute_0_6,plain,
    p0(b,X_660),
    inference(subst,[],[axiom_14:[bind(X,$fot(X_660))]]) ).

cnf(refute_0_7,plain,
    ( ~ m0(b,X_660,e)
    | l2(X_660,X_660) ),
    inference(resolve,[$cnf( p0(b,X_660) )],[refute_0_6,refute_0_5]) ).

cnf(refute_0_8,plain,
    ( ~ m0(b,b,e)
    | l2(b,b) ),
    inference(subst,[],[refute_0_7:[bind(X_660,$fot(b))]]) ).

cnf(refute_0_9,plain,
    l2(b,b),
    inference(resolve,[$cnf( m0(b,b,e) )],[axiom_31,refute_0_8]) ).

cnf(refute_0_10,plain,
    $false,
    inference(resolve,[$cnf( l2(b,b) )],[refute_0_9,prove_this]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN217-1 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.13  % 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
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Mon Jul 11 16:46:00 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.21/0.54  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.54  
% 0.21/0.54  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.21/0.54  
%------------------------------------------------------------------------------