%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---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_sat --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 17:30:43 EDT 2022

% Result   : Unsatisfiable 0.20s 0.54s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   36 (   3 unt;   0 def)
%            Number of atoms       :   95 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   94 (  35   ~;  39   |;  13   &)
%                                         (   4 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   4 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   14 (  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f51,plain,
    $false,
    inference(avatar_sat_refutation,[],[f35,f38,f44,f46,f48,f50]) ).

fof(f50,plain,
    ( spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f49,f32,f41]) ).

fof(f41,plain,
    ( spl0_3
  <=> cc(i2003_11_14_17_18_1956) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f32,plain,
    ( spl0_2
  <=> ca(i2003_11_14_17_18_1956) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f49,plain,
    ( ca(i2003_11_14_17_18_1956)
    | cc(i2003_11_14_17_18_1956) ),
    inference(resolution,[],[f22,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/sandbox/benchmark/theBenchmark.p',axiom_5) ).

fof(f22,plain,
    ! [X0] :
      ( ~ cUnsatisfiable(X0)
      | cc(X0)
      | ca(X0) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f12,plain,
    ! [X0] :
      ( ( cc(X0)
        & cb(X0) )
      | ( ca(X0)
        & cc(X0) )
      | ( ca(X0)
        & cb(X0) )
      | ~ cUnsatisfiable(X0) ),
    inference(flattening,[],[f11]) ).

fof(f11,plain,
    ! [X0] :
      ( ( cc(X0)
        & cb(X0) )
      | ( ca(X0)
        & cb(X0) )
      | ( ca(X0)
        & cc(X0) )
      | ~ cUnsatisfiable(X0) ),
    inference(ennf_transformation,[],[f7]) ).

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

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

fof(f48,plain,
    ( ~ spl0_3
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f47,f28,f41]) ).

fof(f28,plain,
    ( spl0_1
  <=> cb(i2003_11_14_17_18_1956) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f47,plain,
    ( ~ cc(i2003_11_14_17_18_1956)
    | ~ spl0_1 ),
    inference(resolution,[],[f30,f16]) ).

fof(f16,plain,
    ! [X0] :
      ( ~ cb(X0)
      | ~ cc(X0) ),
    inference(cnf_transformation,[],[f10]) ).

fof(f10,plain,
    ! [X0] :
      ( ~ cc(X0)
      | ~ cb(X0) ),
    inference(ennf_transformation,[],[f5]) ).

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

fof(f30,plain,
    ( cb(i2003_11_14_17_18_1956)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f28]) ).

fof(f46,plain,
    ( ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f45]) ).

fof(f45,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(resolution,[],[f43,f37]) ).

fof(f37,plain,
    ( ~ cc(i2003_11_14_17_18_1956)
    | ~ spl0_2 ),
    inference(resolution,[],[f34,f14]) ).

fof(f14,plain,
    ! [X0] :
      ( ~ ca(X0)
      | ~ cc(X0) ),
    inference(cnf_transformation,[],[f13]) ).

fof(f13,plain,
    ! [X0] :
      ( ( ~ cb(X0)
        & ~ cc(X0) )
      | ~ ca(X0) ),
    inference(ennf_transformation,[],[f4]) ).

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

fof(f34,plain,
    ( ca(i2003_11_14_17_18_1956)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f32]) ).

fof(f43,plain,
    ( cc(i2003_11_14_17_18_1956)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f41]) ).

fof(f44,plain,
    ( spl0_1
    | spl0_3 ),
    inference(avatar_split_clause,[],[f39,f41,f28]) ).

fof(f39,plain,
    ( cc(i2003_11_14_17_18_1956)
    | cb(i2003_11_14_17_18_1956) ),
    inference(resolution,[],[f19,f25]) ).

fof(f19,plain,
    ! [X0] :
      ( ~ cUnsatisfiable(X0)
      | cc(X0)
      | cb(X0) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f38,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f36,f32,f28]) ).

fof(f36,plain,
    ( ~ cb(i2003_11_14_17_18_1956)
    | ~ spl0_2 ),
    inference(resolution,[],[f34,f15]) ).

fof(f15,plain,
    ! [X0] :
      ( ~ ca(X0)
      | ~ cb(X0) ),
    inference(cnf_transformation,[],[f13]) ).

fof(f35,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f26,f32,f28]) ).

fof(f26,plain,
    ( ca(i2003_11_14_17_18_1956)
    | cb(i2003_11_14_17_18_1956) ),
    inference(resolution,[],[f17,f25]) ).

fof(f17,plain,
    ! [X0] :
      ( ~ cUnsatisfiable(X0)
      | cb(X0)
      | ca(X0) ),
    inference(cnf_transformation,[],[f12]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13  % Problem    : KRS067+1 : TPTP v8.1.0. Released v3.1.0.
% 0.05/0.13  % 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 : 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    : 
% 0.20/0.53  % (23856)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.20/0.54  % (23849)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.54  % (23856)First to succeed.
% 0.20/0.54  % (23856)Refutation found. Thanks to Tanya!
% 0.20/0.54  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54  % (23856)------------------------------
% 0.20/0.54  % (23856)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (23856)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (23856)Termination reason: Refutation
% 0.20/0.54  
% 0.20/0.54  % (23856)Memory used [KB]: 5373
% 0.20/0.54  % (23856)Time elapsed: 0.108 s
% 0.20/0.54  % (23856)Instructions burned: 2 (million)
% 0.20/0.54  % (23856)------------------------------
% 0.20/0.54  % (23856)------------------------------
% 0.20/0.54  % (23844)Success in time 0.184 s
%------------------------------------------------------------------------------