TSTP Solution File: SYN228-1 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN228-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n025.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 09:00:35 EDT 2022

% Result   : Unsatisfiable 0.19s 0.48s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   14 (   7 unt;   0 nHn;  14 RR)
%            Number of literals    :   23 (   0 equ;  10 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    6 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_9,axiom,
    r0(b) ).

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

cnf(rule_005,axiom,
    ( m1(B,C,B)
    | ~ m0(C,C,B) ) ).

cnf(rule_176,axiom,
    ( p2(D,E,D)
    | ~ m1(E,D,E) ) ).

cnf(rule_215,axiom,
    ( l3(G,H)
    | ~ r0(G)
    | ~ p2(G,H,G) ) ).

cnf(prove_this,negated_conjecture,
    ~ l3(b,e) ).

cnf(refute_0_0,plain,
    ( ~ m0(b,b,e)
    | m1(e,b,e) ),
    inference(subst,[],[rule_005:[bind(B,$fot(e)),bind(C,$fot(b))]]) ).

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

cnf(refute_0_2,plain,
    ( ~ m1(e,b,e)
    | p2(b,e,b) ),
    inference(subst,[],[rule_176:[bind(D,$fot(b)),bind(E,$fot(e))]]) ).

cnf(refute_0_3,plain,
    p2(b,e,b),
    inference(resolve,[$cnf( m1(e,b,e) )],[refute_0_1,refute_0_2]) ).

cnf(refute_0_4,plain,
    ( ~ p2(b,e,b)
    | ~ r0(b)
    | l3(b,e) ),
    inference(subst,[],[rule_215:[bind(G,$fot(b)),bind(H,$fot(e))]]) ).

cnf(refute_0_5,plain,
    ( ~ r0(b)
    | l3(b,e) ),
    inference(resolve,[$cnf( p2(b,e,b) )],[refute_0_3,refute_0_4]) ).

cnf(refute_0_6,plain,
    l3(b,e),
    inference(resolve,[$cnf( r0(b) )],[axiom_9,refute_0_5]) ).

cnf(refute_0_7,plain,
    $false,
    inference(resolve,[$cnf( l3(b,e) )],[refute_0_6,prove_this]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN228-1 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n025.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 18:30:32 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.48  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.48  
% 0.19/0.48  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.48  
%------------------------------------------------------------------------------