TSTP Solution File: SYN729-1 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN729-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n004.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 09:05:16 EDT 2022

% Result   : Unsatisfiable 0.12s 0.38s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   17 (   7 unt;   0 nHn;  17 RR)
%            Number of literals    :   27 (   0 equ;  13 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-1 aty)
%            Number of variables   :    5 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(thm72_1,negated_conjecture,
    ( l(A,g(h(sk1(A))))
    | ~ p(A) ) ).

cnf(thm72_2,negated_conjecture,
    ( p(sk1(A))
    | ~ p(A) ) ).

cnf(thm72_3,negated_conjecture,
    ( p(g(A))
    | ~ p(A) ) ).

cnf(thm72_4,negated_conjecture,
    ( p(h(A))
    | ~ p(A) ) ).

cnf(thm72_5,negated_conjecture,
    p(sk2) ).

cnf(thm72_6,negated_conjecture,
    ( ~ p(A)
    | ~ l(sk2,A) ) ).

cnf(refute_0_0,plain,
    ( ~ l(sk2,g(h(sk1(sk2))))
    | ~ p(g(h(sk1(sk2)))) ),
    inference(subst,[],[thm72_6:[bind(A,$fot(g(h(sk1(sk2)))))]]) ).

cnf(refute_0_1,plain,
    ( ~ p(sk2)
    | l(sk2,g(h(sk1(sk2)))) ),
    inference(subst,[],[thm72_1:[bind(A,$fot(sk2))]]) ).

cnf(refute_0_2,plain,
    l(sk2,g(h(sk1(sk2)))),
    inference(resolve,[$cnf( p(sk2) )],[thm72_5,refute_0_1]) ).

cnf(refute_0_3,plain,
    ~ p(g(h(sk1(sk2)))),
    inference(resolve,[$cnf( l(sk2,g(h(sk1(sk2)))) )],[refute_0_2,refute_0_0]) ).

cnf(refute_0_4,plain,
    ( ~ p(h(sk1(sk2)))
    | p(g(h(sk1(sk2)))) ),
    inference(subst,[],[thm72_3:[bind(A,$fot(h(sk1(sk2))))]]) ).

cnf(refute_0_5,plain,
    ( ~ p(sk2)
    | p(sk1(sk2)) ),
    inference(subst,[],[thm72_2:[bind(A,$fot(sk2))]]) ).

cnf(refute_0_6,plain,
    p(sk1(sk2)),
    inference(resolve,[$cnf( p(sk2) )],[thm72_5,refute_0_5]) ).

cnf(refute_0_7,plain,
    ( ~ p(sk1(sk2))
    | p(h(sk1(sk2))) ),
    inference(subst,[],[thm72_4:[bind(A,$fot(sk1(sk2)))]]) ).

cnf(refute_0_8,plain,
    p(h(sk1(sk2))),
    inference(resolve,[$cnf( p(sk1(sk2)) )],[refute_0_6,refute_0_7]) ).

cnf(refute_0_9,plain,
    p(g(h(sk1(sk2)))),
    inference(resolve,[$cnf( p(h(sk1(sk2))) )],[refute_0_8,refute_0_4]) ).

cnf(refute_0_10,plain,
    $false,
    inference(resolve,[$cnf( p(g(h(sk1(sk2)))) )],[refute_0_9,refute_0_3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : SYN729-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n004.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 : Tue Jul 12 04:47:52 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.38  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.38  
% 0.12/0.38  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.12/0.38  
%------------------------------------------------------------------------------