%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWW469+1 : TPTP v8.1.0. Released v5.3.0.
% 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 : n011.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 19:06:52 EDT 2022

% Result   : Theorem 0.18s 0.50s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   35 (   4 unt;   0 def)
%            Number of atoms       :   93 (  21 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   97 (  39   ~;  26   |;  18   &)
%                                         (   5 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   6 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   23 (  11   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f60,plain,
    $false,
    inference(avatar_sat_refutation,[],[f36,f41,f42,f47,f56]) ).

fof(f56,plain,
    ( ~ spl3_1
    | spl3_3
    | ~ spl3_4 ),
    inference(avatar_contradiction_clause,[],[f55]) ).

fof(f55,plain,
    ( $false
    | ~ spl3_1
    | spl3_3
    | ~ spl3_4 ),
    inference(subsumption_resolution,[],[f54,f40]) ).

fof(f40,plain,
    ( sK1 != sK2
    | spl3_3 ),
    inference(avatar_component_clause,[],[f38]) ).

fof(f38,plain,
    ( spl3_3
  <=> sK1 = sK2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).

fof(f54,plain,
    ( sK1 = sK2
    | ~ spl3_1
    | ~ spl3_4 ),
    inference(backward_demodulation,[],[f51,f50]) ).

fof(f50,plain,
    ( sK1 = sK0
    | ~ spl3_4 ),
    inference(resolution,[],[f22,f46]) ).

fof(f46,plain,
    ( is_state(sK1)
    | ~ spl3_4 ),
    inference(avatar_component_clause,[],[f44]) ).

fof(f44,plain,
    ( spl3_4
  <=> is_state(sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).

fof(f22,plain,
    ! [X1] :
      ( ~ is_state(X1)
      | sK0 = X1 ),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,plain,
    ( ! [X1] :
        ( ~ is_state(X1)
        | sK0 = X1 )
    & is_state(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f15,f16]) ).

fof(f16,plain,
    ( ? [X0] :
        ( ! [X1] :
            ( ~ is_state(X1)
            | X0 = X1 )
        & is_state(X0) )
   => ( ! [X1] :
          ( ~ is_state(X1)
          | sK0 = X1 )
      & is_state(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f15,plain,
    ? [X0] :
      ( ! [X1] :
          ( ~ is_state(X1)
          | X0 = X1 )
      & is_state(X0) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,plain,
    ~ ! [X0] :
        ( is_state(X0)
       => ~ ! [X1] :
              ( is_state(X1)
             => X0 = X1 ) ),
    inference(rectify,[],[f8]) ).

fof(f8,negated_conjecture,
    ~ ! [X1] :
        ( is_state(X1)
       => ~ ! [X0] :
              ( is_state(X0)
             => X0 = X1 ) ),
    inference(negated_conjecture,[],[f7]) ).

fof(f7,conjecture,
    ! [X1] :
      ( is_state(X1)
     => ~ ! [X0] :
            ( is_state(X0)
           => X0 = X1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).

fof(f51,plain,
    ( sK0 = sK2
    | ~ spl3_1 ),
    inference(resolution,[],[f22,f31]) ).

fof(f31,plain,
    ( is_state(sK2)
    | ~ spl3_1 ),
    inference(avatar_component_clause,[],[f29]) ).

fof(f29,plain,
    ( spl3_1
  <=> is_state(sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).

fof(f47,plain,
    ( spl3_4
    | ~ spl3_2 ),
    inference(avatar_split_clause,[],[f23,f33,f44]) ).

fof(f33,plain,
    ( spl3_2
  <=> hoare_165779456gleton ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).

fof(f23,plain,
    ( ~ hoare_165779456gleton
    | is_state(sK1) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f20,plain,
    ( ~ hoare_165779456gleton
    | ( sK1 != sK2
      & is_state(sK2)
      & is_state(sK1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f18,f19]) ).

fof(f19,plain,
    ( ? [X0,X1] :
        ( X0 != X1
        & is_state(X1)
        & is_state(X0) )
   => ( sK1 != sK2
      & is_state(sK2)
      & is_state(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f18,plain,
    ( ~ hoare_165779456gleton
    | ? [X0,X1] :
        ( X0 != X1
        & is_state(X1)
        & is_state(X0) ) ),
    inference(rectify,[],[f14]) ).

fof(f14,plain,
    ( ~ hoare_165779456gleton
    | ? [X1,X0] :
        ( X0 != X1
        & is_state(X0)
        & is_state(X1) ) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,plain,
    ( hoare_165779456gleton
   => ? [X1,X0] :
        ( X0 != X1
        & is_state(X0)
        & is_state(X1) ) ),
    inference(unused_predicate_definition_removal,[],[f2]) ).

fof(f2,axiom,
    ( ? [X1,X0] :
        ( X0 != X1
        & is_state(X0)
        & is_state(X1) )
  <=> hoare_165779456gleton ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_state__not__singleton__def) ).

fof(f42,plain,
    spl3_2,
    inference(avatar_split_clause,[],[f27,f33]) ).

fof(f27,plain,
    hoare_165779456gleton,
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    hoare_165779456gleton,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

fof(f41,plain,
    ( ~ spl3_3
    | ~ spl3_2 ),
    inference(avatar_split_clause,[],[f25,f33,f38]) ).

fof(f25,plain,
    ( ~ hoare_165779456gleton
    | sK1 != sK2 ),
    inference(cnf_transformation,[],[f20]) ).

fof(f36,plain,
    ( spl3_1
    | ~ spl3_2 ),
    inference(avatar_split_clause,[],[f24,f33,f29]) ).

fof(f24,plain,
    ( ~ hoare_165779456gleton
    | is_state(sK2) ),
    inference(cnf_transformation,[],[f20]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SWW469+1 : TPTP v8.1.0. Released v5.3.0.
% 0.11/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33  % Computer : n011.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Tue Aug 30 20:38:10 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.18/0.49  % (12105)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.18/0.50  % (12105)Refutation not found, incomplete strategy% (12105)------------------------------
% 0.18/0.50  % (12105)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (12097)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.50  % (12097)First to succeed.
% 0.18/0.50  % (12105)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (12105)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.50  
% 0.18/0.50  % (12105)Memory used [KB]: 5884
% 0.18/0.50  % (12105)Time elapsed: 0.059 s
% 0.18/0.50  % (12105)Instructions burned: 1 (million)
% 0.18/0.50  % (12105)------------------------------
% 0.18/0.50  % (12105)------------------------------
% 0.18/0.50  % (12089)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.18/0.50  % (12097)Refutation found. Thanks to Tanya!
% 0.18/0.50  % SZS status Theorem for theBenchmark
% 0.18/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.50  % (12097)------------------------------
% 0.18/0.50  % (12097)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (12097)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (12097)Termination reason: Refutation
% 0.18/0.50  
% 0.18/0.50  % (12097)Memory used [KB]: 5884
% 0.18/0.50  % (12097)Time elapsed: 0.060 s
% 0.18/0.50  % (12097)Instructions burned: 1 (million)
% 0.18/0.50  % (12097)------------------------------
% 0.18/0.50  % (12097)------------------------------
% 0.18/0.50  % (12082)Success in time 0.16 s
%------------------------------------------------------------------------------