TSTP Solution File: SYN256-1 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN256-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n020.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 09:00:46 EDT 2022

% Result   : Unsatisfiable 0.18s 0.47s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    9 (   5 unt;   0 nHn;   9 RR)
%            Number of literals    :   13 (   0 equ;   5 neg)
%            Maximal clause size   :    2 (   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   :    5 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_18,axiom,
    p0(c,b) ).

cnf(rule_069,axiom,
    ( p1(B,B,C)
    | ~ p0(C,B) ) ).

cnf(rule_137,axiom,
    ( n2(A)
    | ~ p1(B,C,A) ) ).

cnf(prove_this,negated_conjecture,
    ~ n2(c) ).

cnf(refute_0_0,plain,
    ( ~ p0(c,b)
    | p1(b,b,c) ),
    inference(subst,[],[rule_069:[bind(B,$fot(b)),bind(C,$fot(c))]]) ).

cnf(refute_0_1,plain,
    p1(b,b,c),
    inference(resolve,[$cnf( p0(c,b) )],[axiom_18,refute_0_0]) ).

cnf(refute_0_2,plain,
    ( ~ p1(b,b,c)
    | n2(c) ),
    inference(subst,[],[rule_137:[bind(A,$fot(c)),bind(B,$fot(b)),bind(C,$fot(b))]]) ).

cnf(refute_0_3,plain,
    n2(c),
    inference(resolve,[$cnf( p1(b,b,c) )],[refute_0_1,refute_0_2]) ).

cnf(refute_0_4,plain,
    $false,
    inference(resolve,[$cnf( n2(c) )],[refute_0_3,prove_this]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SYN256-1 : TPTP v8.1.0. Released v1.1.0.
% 0.04/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n020.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 22:42:42 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.18/0.47  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.47  
% 0.18/0.47  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.18/0.47  
%------------------------------------------------------------------------------