TSTP Solution File: KRS067+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : KRS067+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_uns --cores 0 -t %d %s

% Computer : n029.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 17:29:35 EDT 2022

% Result   : Unsatisfiable 0.20s 0.50s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   26 (   4 unt;   0 def)
%            Number of atoms       :   81 (   0 equ)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :   86 (  31   ~;  38   |;  13   &)
%                                         (   1 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   23 (  23   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f40,plain,
    $false,
    inference(resolution,[],[f39,f25]) ).

fof(f25,plain,
    cUnsatisfiable(i2003_11_14_17_18_1956),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    cUnsatisfiable(i2003_11_14_17_18_1956),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).

fof(f39,plain,
    ! [X0] : ~ cUnsatisfiable(X0),
    inference(subsumption_resolution,[],[f38,f37]) ).

fof(f37,plain,
    ! [X1] :
      ( ~ cb(X1)
      | ~ cUnsatisfiable(X1) ),
    inference(subsumption_resolution,[],[f36,f16]) ).

fof(f16,plain,
    ! [X0] :
      ( ~ cb(X0)
      | ~ cc(X0) ),
    inference(cnf_transformation,[],[f13]) ).

fof(f13,plain,
    ! [X0] :
      ( ~ cb(X0)
      | ~ cc(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( cb(X0)
     => ~ cc(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).

fof(f36,plain,
    ! [X1] :
      ( ~ cb(X1)
      | ~ cUnsatisfiable(X1)
      | cc(X1) ),
    inference(resolution,[],[f27,f14]) ).

fof(f14,plain,
    ! [X0] :
      ( ~ ca(X0)
      | ~ cb(X0) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f12,plain,
    ! [X0] :
      ( ( ~ cc(X0)
        & ~ cb(X0) )
      | ~ ca(X0) ),
    inference(ennf_transformation,[],[f4]) ).

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

fof(f27,plain,
    ! [X0] :
      ( ca(X0)
      | ~ cUnsatisfiable(X0)
      | cc(X0) ),
    inference(duplicate_literal_removal,[],[f22]) ).

fof(f22,plain,
    ! [X0] :
      ( ca(X0)
      | ca(X0)
      | ~ cUnsatisfiable(X0)
      | cc(X0) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f11,plain,
    ! [X0] :
      ( ( cc(X0)
        & cb(X0) )
      | ( cc(X0)
        & ca(X0) )
      | ~ cUnsatisfiable(X0)
      | ( ca(X0)
        & cb(X0) ) ),
    inference(flattening,[],[f10]) ).

fof(f10,plain,
    ! [X0] :
      ( ( ca(X0)
        & cb(X0) )
      | ( cc(X0)
        & cb(X0) )
      | ( cc(X0)
        & ca(X0) )
      | ~ cUnsatisfiable(X0) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
     => ( ( ca(X0)
          & cb(X0) )
        | ( cc(X0)
          & cb(X0) )
        | ( cc(X0)
          & ca(X0) ) ) ),
    inference(unused_predicate_definition_removal,[],[f3]) ).

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

fof(f38,plain,
    ! [X0] :
      ( ~ cUnsatisfiable(X0)
      | cb(X0) ),
    inference(subsumption_resolution,[],[f30,f34]) ).

fof(f34,plain,
    ! [X0] :
      ( ~ cc(X0)
      | ~ cUnsatisfiable(X0) ),
    inference(subsumption_resolution,[],[f32,f16]) ).

fof(f32,plain,
    ! [X0] :
      ( cb(X0)
      | ~ cUnsatisfiable(X0)
      | ~ cc(X0) ),
    inference(resolution,[],[f26,f15]) ).

fof(f15,plain,
    ! [X0] :
      ( ~ ca(X0)
      | ~ cc(X0) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f26,plain,
    ! [X0] :
      ( ca(X0)
      | ~ cUnsatisfiable(X0)
      | cb(X0) ),
    inference(duplicate_literal_removal,[],[f17]) ).

fof(f17,plain,
    ! [X0] :
      ( cb(X0)
      | cb(X0)
      | ~ cUnsatisfiable(X0)
      | ca(X0) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f30,plain,
    ! [X0] :
      ( cb(X0)
      | ~ cUnsatisfiable(X0)
      | cc(X0) ),
    inference(duplicate_literal_removal,[],[f23]) ).

fof(f23,plain,
    ! [X0] :
      ( cc(X0)
      | ~ cUnsatisfiable(X0)
      | cc(X0)
      | cb(X0) ),
    inference(cnf_transformation,[],[f11]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : KRS067+1 : TPTP v8.1.0. Released v3.1.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35  % Computer : n029.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 00:41:41 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.49  % (23901)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.49  % (23893)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.50  % (23901)First to succeed.
% 0.20/0.50  % (23893)Refutation not found, incomplete strategy% (23893)------------------------------
% 0.20/0.50  % (23893)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (23901)Refutation found. Thanks to Tanya!
% 0.20/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50  % (23901)------------------------------
% 0.20/0.50  % (23901)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (23901)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (23901)Termination reason: Refutation
% 0.20/0.50  
% 0.20/0.50  % (23901)Memory used [KB]: 5884
% 0.20/0.50  % (23901)Time elapsed: 0.072 s
% 0.20/0.50  % (23901)Instructions burned: 1 (million)
% 0.20/0.50  % (23901)------------------------------
% 0.20/0.50  % (23901)------------------------------
% 0.20/0.50  % (23876)Success in time 0.138 s
%------------------------------------------------------------------------------