TSTP Solution File: SYN347-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN347-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 : n005.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 19:26:19 EDT 2022

% Result   : Unsatisfiable 1.21s 0.52s
% Output   : Refutation 1.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   29 (   1 unt;   0 def)
%            Number of atoms       :   73 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   82 (  38   ~;  39   |;   0   &)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   6 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   30 (  30   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f118,plain,
    $false,
    inference(avatar_sat_refutation,[],[f15,f26,f30,f45,f92,f117]) ).

fof(f117,plain,
    ( ~ spl0_4
    | ~ spl0_5 ),
    inference(avatar_contradiction_clause,[],[f116]) ).

fof(f116,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f115,f29]) ).

fof(f29,plain,
    ( ! [X0,X1] :
        ( ~ f(X1,y(X0,X1))
        | ~ f(X0,y(X0,X1)) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f28]) ).

fof(f28,plain,
    ( spl0_4
  <=> ! [X0,X1] :
        ( ~ f(X1,y(X0,X1))
        | ~ f(X0,y(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f115,plain,
    ( ! [X0] : f(X0,y(X0,X0))
    | ~ spl0_5 ),
    inference(factoring,[],[f44]) ).

fof(f44,plain,
    ( ! [X0,X1] :
        ( f(X1,y(X0,X1))
        | f(X0,y(X0,X1)) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f43]) ).

fof(f43,plain,
    ( spl0_5
  <=> ! [X0,X1] :
        ( f(X1,y(X0,X1))
        | f(X0,y(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f92,plain,
    ( ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f91]) ).

fof(f91,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f73,f19]) ).

fof(f19,plain,
    ( f(a,y(a,b))
    | ~ spl0_2 ),
    inference(factoring,[],[f16]) ).

fof(f16,plain,
    ( ! [X0] :
        ( f(X0,y(X0,b))
        | f(a,y(X0,b)) )
    | ~ spl0_2 ),
    inference(resolution,[],[f14,f5]) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( f(b,y(X0,X1))
      | f(a,y(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).

fof(f14,plain,
    ( ! [X0,X1] :
        ( ~ f(X1,y(X0,X1))
        | f(X0,y(X0,X1)) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f13]) ).

fof(f13,plain,
    ( spl0_2
  <=> ! [X0,X1] :
        ( f(X0,y(X0,X1))
        | ~ f(X1,y(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f73,plain,
    ( ~ f(a,y(a,b))
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(unit_resulting_resolution,[],[f20,f25]) ).

fof(f25,plain,
    ( ! [X0,X1] :
        ( ~ f(X0,y(X0,X1))
        | f(X1,y(X0,X1)) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f24]) ).

fof(f24,plain,
    ( spl0_3
  <=> ! [X0,X1] :
        ( ~ f(X0,y(X0,X1))
        | f(X1,y(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f20,plain,
    ( ~ f(b,y(a,b))
    | ~ spl0_2 ),
    inference(unit_resulting_resolution,[],[f19,f6]) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( ~ f(b,y(X0,X1))
      | ~ f(a,y(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).

fof(f45,plain,
    ( ~ spl0_1
    | spl0_5 ),
    inference(avatar_split_clause,[],[f4,f43,f9]) ).

fof(f9,plain,
    ( spl0_1
  <=> f(a,b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( f(X1,y(X0,X1))
      | ~ f(a,b)
      | f(X0,y(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).

fof(f30,plain,
    ( ~ spl0_1
    | spl0_4 ),
    inference(avatar_split_clause,[],[f3,f28,f9]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( ~ f(X1,y(X0,X1))
      | ~ f(a,b)
      | ~ f(X0,y(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).

fof(f26,plain,
    ( spl0_1
    | spl0_3 ),
    inference(avatar_split_clause,[],[f2,f24,f9]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( ~ f(X0,y(X0,X1))
      | f(a,b)
      | f(X1,y(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).

fof(f15,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f1,f13,f9]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( f(X0,y(X0,X1))
      | ~ f(X1,y(X0,X1))
      | f(a,b) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SYN347-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.14  % 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 : n005.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 21:46:18 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.21/0.50  % (20759)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.21/0.51  % (20751)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.21/0.51  % (20743)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.21/0.51  % (20759)First to succeed.
% 0.21/0.51  % (20751)Refutation not found, incomplete strategy% (20751)------------------------------
% 0.21/0.51  % (20751)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51  % (20743)Also succeeded, but the first one will report.
% 0.21/0.51  % (20751)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51  % (20751)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.51  
% 0.21/0.51  % (20751)Memory used [KB]: 1279
% 0.21/0.51  % (20751)Time elapsed: 0.061 s
% 0.21/0.51  % (20751)Instructions burned: 4 (million)
% 0.21/0.51  % (20751)------------------------------
% 0.21/0.51  % (20751)------------------------------
% 1.21/0.52  % (20759)Refutation found. Thanks to Tanya!
% 1.21/0.52  % SZS status Unsatisfiable for theBenchmark
% 1.21/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 1.21/0.52  % (20759)------------------------------
% 1.21/0.52  % (20759)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.21/0.52  % (20759)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.21/0.52  % (20759)Termination reason: Refutation
% 1.21/0.52  
% 1.21/0.52  % (20759)Memory used [KB]: 5884
% 1.21/0.52  % (20759)Time elapsed: 0.060 s
% 1.21/0.52  % (20759)Instructions burned: 3 (million)
% 1.21/0.52  % (20759)------------------------------
% 1.21/0.52  % (20759)------------------------------
% 1.21/0.52  % (20736)Success in time 0.152 s
%------------------------------------------------------------------------------