TSTP Solution File: KRS091+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : KRS091+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n021.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 : Wed Aug 31 17:30:47 EDT 2022

% Result   : Unsatisfiable 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   13 (   4 unt;   0 def)
%            Number of atoms       :   25 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   23 (  11   ~;   6   |;   3   &)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f25,plain,
    $false,
    inference(resolution,[],[f24,f19]) ).

fof(f19,plain,
    cUnsatisfiable(i2003_11_14_17_20_00819),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,axiom,
    cUnsatisfiable(i2003_11_14_17_20_00819),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).

fof(f24,plain,
    ! [X0] : ~ cUnsatisfiable(X0),
    inference(subsumption_resolution,[],[f23,f22]) ).

fof(f22,plain,
    ! [X0] :
      ( cd(X0)
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,plain,
    ! [X0] :
      ( ( cd(X0)
        & cc(X0) )
      | ~ cUnsatisfiable(X0) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
     => ( cd(X0)
        & cc(X0) ) ),
    inference(unused_predicate_definition_removal,[],[f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( ( cd(X0)
        & cc(X0) )
    <=> cUnsatisfiable(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

fof(f23,plain,
    ! [X0] :
      ( ~ cd(X0)
      | ~ cUnsatisfiable(X0) ),
    inference(resolution,[],[f21,f20]) ).

fof(f20,plain,
    ! [X0] :
      ( ~ cc(X0)
      | ~ cd(X0) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f18,plain,
    ! [X0] :
      ( ~ cc(X0)
      | ~ cd(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( cc(X0)
     => ~ cd(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).

fof(f21,plain,
    ! [X0] :
      ( cc(X0)
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f17]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : KRS091+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33  % Computer : n021.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Tue Aug 30 00:29:40 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.50  % (26624)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 0.20/0.50  % (26638)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/75Mi)
% 0.20/0.50  % (26639)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.20/0.50  % (26638)First to succeed.
% 0.20/0.51  % (26638)Refutation found. Thanks to Tanya!
% 0.20/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51  % (26638)------------------------------
% 0.20/0.51  % (26638)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (26638)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (26638)Termination reason: Refutation
% 0.20/0.51  
% 0.20/0.51  % (26638)Memory used [KB]: 895
% 0.20/0.51  % (26638)Time elapsed: 0.059 s
% 0.20/0.51  % (26638)Instructions burned: 1 (million)
% 0.20/0.51  % (26638)------------------------------
% 0.20/0.51  % (26638)------------------------------
% 0.20/0.51  % (26621)Success in time 0.163 s
%------------------------------------------------------------------------------