TSTP Solution File: KRS068+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : KRS068+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 : n013.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 17:30:43 EDT 2022

% Result   : Unsatisfiable 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   22 (   4 unt;   0 def)
%            Number of atoms       :   49 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   48 (  21   ~;  16   |;   4   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   25 (  23   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f27,plain,
    $false,
    inference(resolution,[],[f26,f16]) ).

fof(f16,plain,
    cUnsatisfiable(i2003_11_14_17_18_23845),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    cUnsatisfiable(i2003_11_14_17_18_23845),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).

fof(f26,plain,
    ! [X0] : ~ cUnsatisfiable(X0),
    inference(subsumption_resolution,[],[f25,f17]) ).

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

fof(f10,plain,
    ! [X0] :
      ( cc(X0)
      | ~ cUnsatisfiable(X0) ),
    inference(ennf_transformation,[],[f3]) ).

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

fof(f25,plain,
    ! [X0] :
      ( ~ cc(X0)
      | ~ cUnsatisfiable(X0) ),
    inference(resolution,[],[f24,f19]) ).

fof(f19,plain,
    ! [X0] :
      ( ~ cd(X0)
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f11,plain,
    ! [X0] :
      ( ~ cUnsatisfiable(X0)
      | ~ cd(X0) ),
    inference(ennf_transformation,[],[f4]) ).

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

fof(f24,plain,
    ! [X0] :
      ( cd(X0)
      | ~ cc(X0) ),
    inference(subsumption_resolution,[],[f23,f20]) ).

fof(f20,plain,
    ! [X0] :
      ( ~ cc(sK0(X0))
      | cd(X0) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,plain,
    ! [X0] :
      ( ( rr(X0,sK0(X0))
        & ~ cc(sK0(X0)) )
      | cd(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f13,f14]) ).

fof(f14,plain,
    ! [X0] :
      ( ? [X1] :
          ( rr(X0,X1)
          & ~ cc(X1) )
     => ( rr(X0,sK0(X0))
        & ~ cc(sK0(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f13,plain,
    ! [X0] :
      ( ? [X1] :
          ( rr(X0,X1)
          & ~ cc(X1) )
      | cd(X0) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0] :
      ( ! [X1] :
          ( rr(X0,X1)
         => cc(X1) )
     => cd(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).

fof(f23,plain,
    ! [X0] :
      ( cc(sK0(X0))
      | ~ cc(X0)
      | cd(X0) ),
    inference(resolution,[],[f18,f21]) ).

fof(f21,plain,
    ! [X0] :
      ( rr(X0,sK0(X0))
      | cd(X0) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f18,plain,
    ! [X0,X1] :
      ( ~ rr(X0,X1)
      | ~ cc(X0)
      | cc(X1) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f12,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ rr(X0,X1)
          | cc(X1) )
      | ~ cc(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( cc(X0)
     => ! [X1] :
          ( rr(X0,X1)
         => cc(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : KRS068+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n013.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 00:28:02 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.49  % (14251)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.20/0.50  % (14259)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  % (14251)First to succeed.
% 0.20/0.51  % (14251)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  % (14251)------------------------------
% 0.20/0.51  % (14251)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (14251)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (14251)Termination reason: Refutation
% 0.20/0.51  
% 0.20/0.51  % (14251)Memory used [KB]: 5373
% 0.20/0.51  % (14251)Time elapsed: 0.083 s
% 0.20/0.51  % (14251)Instructions burned: 1 (million)
% 0.20/0.51  % (14251)------------------------------
% 0.20/0.51  % (14251)------------------------------
% 0.20/0.51  % (14242)Success in time 0.15 s
%------------------------------------------------------------------------------