TSTP Solution File: SYN345-1 by SnakeForV-SAT---1.0

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN345-1 : TPTP v8.1.0. Released v1.2.0.
% 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 : n018.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 19:37:37 EDT 2022

% Result   : Unsatisfiable 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   34 (   1 unt;   0 def)
%            Number of atoms       :   84 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   87 (  37   ~;  43   |;   0   &)
%                                         (   7 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   8 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   27 (  27   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f53,plain,
    $false,
    inference(avatar_sat_refutation,[],[f20,f24,f25,f33,f37,f38,f42,f44,f46,f52]) ).

fof(f52,plain,
    ( ~ spl0_2
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f51]) ).

fof(f51,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(resolution,[],[f36,f15]) ).

fof(f15,plain,
    ( ! [X0,X1] : f(b,X0,X1)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f14]) ).

fof(f14,plain,
    ( spl0_2
  <=> ! [X0,X1] : f(b,X0,X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f36,plain,
    ( ! [X0,X1] : ~ f(X0,z(X0,X1),z(X0,X1))
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f35]) ).

fof(f35,plain,
    ( spl0_7
  <=> ! [X0,X1] : ~ f(X0,z(X0,X1),z(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f46,plain,
    ( spl0_3
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f45]) ).

fof(f45,plain,
    ( $false
    | spl0_3
    | ~ spl0_8 ),
    inference(resolution,[],[f41,f19]) ).

fof(f19,plain,
    ( ~ f(a,b,b)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f17]) ).

fof(f17,plain,
    ( spl0_3
  <=> f(a,b,b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f41,plain,
    ( ! [X0] : f(a,b,X0)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f40]) ).

fof(f40,plain,
    ( spl0_8
  <=> ! [X0] : f(a,b,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f44,plain,
    ( ~ spl0_4
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f43]) ).

fof(f43,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(resolution,[],[f32,f23]) ).

fof(f23,plain,
    ( ! [X0] : ~ f(b,b,X0)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f22]) ).

fof(f22,plain,
    ( spl0_4
  <=> ! [X0] : ~ f(b,b,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f32,plain,
    ( ! [X0,X1] : f(X0,X1,z(X0,X1))
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f31]) ).

fof(f31,plain,
    ( spl0_6
  <=> ! [X0,X1] : f(X0,X1,z(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f42,plain,
    ( spl0_8
    | spl0_3
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f1,f10,f17,f40]) ).

fof(f10,plain,
    ( spl0_1
  <=> f(a,a,b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

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

fof(f38,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f6,f31,f17,f10]) ).

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

fof(f37,plain,
    ( spl0_1
    | spl0_7
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f4,f17,f35,f10]) ).

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

fof(f33,plain,
    ( spl0_3
    | spl0_6
    | spl0_1 ),
    inference(avatar_split_clause,[],[f5,f10,f31,f17]) ).

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

fof(f25,plain,
    ( spl0_1
    | spl0_4
    | spl0_3 ),
    inference(avatar_split_clause,[],[f7,f17,f22,f10]) ).

fof(f7,axiom,
    ! [X0] :
      ( f(a,b,b)
      | ~ f(b,b,X0)
      | f(a,a,b) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).

fof(f24,plain,
    ( spl0_4
    | ~ spl0_3
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f8,f10,f17,f22]) ).

fof(f8,axiom,
    ! [X0] :
      ( ~ f(a,a,b)
      | ~ f(a,b,b)
      | ~ f(b,b,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).

fof(f20,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f3,f17,f14,f10]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : SYN345-1 : TPTP v8.1.0. Released v1.2.0.
% 0.08/0.14  % 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 : n018.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 21:50:10 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.49  % (4301)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50  % (4325)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.50  % (4301)First to succeed.
% 0.20/0.50  % (4308)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51  % (4301)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  % (4301)------------------------------
% 0.20/0.51  % (4301)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (4301)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (4301)Termination reason: Refutation
% 0.20/0.51  
% 0.20/0.51  % (4301)Memory used [KB]: 5373
% 0.20/0.51  % (4301)Time elapsed: 0.095 s
% 0.20/0.51  % (4301)Instructions burned: 2 (million)
% 0.20/0.51  % (4301)------------------------------
% 0.20/0.51  % (4301)------------------------------
% 0.20/0.51  % (4295)Success in time 0.146 s
%------------------------------------------------------------------------------