TSTP Solution File: SYN729-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN729-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n008.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  : 300s
% DateTime : Tue Apr 30 18:04:55 EDT 2024

% Result   : Unsatisfiable 0.14s 0.37s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   12 (   6 unt;   0 def)
%            Number of atoms       :   18 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   18 (  12   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 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 (   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f12,plain,
    $false,
    inference(subsumption_resolution,[],[f11,f5]) ).

fof(f5,axiom,
    p(sk2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm72_5) ).

fof(f11,plain,
    ~ p(sk2),
    inference(resolution,[],[f10,f2]) ).

fof(f2,axiom,
    ! [X0] :
      ( p(sk1(X0))
      | ~ p(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm72_2) ).

fof(f10,plain,
    ~ p(sk1(sk2)),
    inference(resolution,[],[f9,f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( p(h(X0))
      | ~ p(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm72_4) ).

fof(f9,plain,
    ~ p(h(sk1(sk2))),
    inference(resolution,[],[f8,f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( p(g(X0))
      | ~ p(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm72_3) ).

fof(f8,plain,
    ~ p(g(h(sk1(sk2)))),
    inference(subsumption_resolution,[],[f7,f5]) ).

fof(f7,plain,
    ( ~ p(sk2)
    | ~ p(g(h(sk1(sk2)))) ),
    inference(resolution,[],[f1,f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( ~ l(sk2,X0)
      | ~ p(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm72_6) ).

fof(f1,axiom,
    ! [X0] :
      ( l(X0,g(h(sk1(X0))))
      | ~ p(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm72_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN729-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n008.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Apr 30 01:57:43 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  % (13940)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36  % (13946)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37  % (13946)First to succeed.
% 0.14/0.37  % (13946)Refutation found. Thanks to Tanya!
% 0.14/0.37  % SZS status Unsatisfiable for theBenchmark
% 0.14/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.37  % (13946)------------------------------
% 0.14/0.37  % (13946)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.37  % (13946)Termination reason: Refutation
% 0.14/0.37  
% 0.14/0.37  % (13946)Memory used [KB]: 743
% 0.14/0.37  % (13946)Time elapsed: 0.003 s
% 0.14/0.37  % (13946)Instructions burned: 2 (million)
% 0.14/0.37  % (13946)------------------------------
% 0.14/0.37  % (13946)------------------------------
% 0.14/0.37  % (13940)Success in time 0.004 s
%------------------------------------------------------------------------------