%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : MSC008-2.002 : TPTP v8.1.0. Released v1.0.0.
% 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 : n014.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 17:51:46 EDT 2022

% Result   : Unsatisfiable 0.20s 0.50s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   28 (   4 unt;   0 def)
%            Number of atoms       :   69 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   86 (  45   ~;  39   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   3 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   40 (  40   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f89,plain,
    $false,
    inference(avatar_sat_refutation,[],[f32,f67,f88]) ).

fof(f88,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f87]) ).

fof(f87,plain,
    ( $false
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f84,f73]) ).

fof(f73,plain,
    ( ! [X0] : greek(p1,p2,X0)
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f69,f14]) ).

fof(f14,axiom,
    ! [X12,X13] :
      ( greek(X12,p2,X13)
      | greek(X12,p1,X13) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',greek_column_required) ).

fof(f69,plain,
    ( ! [X0] :
        ( ~ greek(p1,p1,X0)
        | greek(p1,p2,X0) )
    | ~ spl0_1 ),
    inference(resolution,[],[f28,f15]) ).

fof(f15,axiom,
    ! [X14,X15] :
      ( greek(p2,X14,X15)
      | greek(p1,X14,X15) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',greek_row_required) ).

fof(f28,plain,
    ( ! [X1] :
        ( ~ greek(p2,p2,X1)
        | ~ greek(p1,p1,X1) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f27]) ).

fof(f27,plain,
    ( spl0_1
  <=> ! [X1] :
        ( ~ greek(p2,p2,X1)
        | ~ greek(p1,p1,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f84,plain,
    ( ~ greek(p1,p2,p1)
    | ~ spl0_1 ),
    inference(resolution,[],[f44,f73]) ).

fof(f44,plain,
    ! [X0,X1] :
      ( ~ greek(X0,X1,p2)
      | ~ greek(X0,X1,p1) ),
    inference(resolution,[],[f7,f1]) ).

fof(f1,axiom,
    ~ eq(p1,p2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1_is_not_p2) ).

fof(f7,axiom,
    ! [X2,X3,X0,X1] :
      ( eq(X3,X2)
      | ~ greek(X0,X1,X3)
      | ~ greek(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',greek_element_is_unique) ).

fof(f67,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f66]) ).

fof(f66,plain,
    ( $false
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f63,f41]) ).

fof(f41,plain,
    ( ! [X0] : latin(p1,p2,X0)
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f37,f11]) ).

fof(f11,axiom,
    ! [X6,X7] :
      ( latin(X6,p2,X7)
      | latin(X6,p1,X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',latin_column_required) ).

fof(f37,plain,
    ( ! [X0] :
        ( ~ latin(p1,p1,X0)
        | latin(p1,p2,X0) )
    | ~ spl0_2 ),
    inference(resolution,[],[f31,f12]) ).

fof(f12,axiom,
    ! [X8,X9] :
      ( latin(p2,X8,X9)
      | latin(p1,X8,X9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',latin_row_required) ).

fof(f31,plain,
    ( ! [X0] :
        ( ~ latin(p2,p2,X0)
        | ~ latin(p1,p1,X0) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f30]) ).

fof(f30,plain,
    ( spl0_2
  <=> ! [X0] :
        ( ~ latin(p2,p2,X0)
        | ~ latin(p1,p1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f63,plain,
    ( ~ latin(p1,p2,p1)
    | ~ spl0_2 ),
    inference(resolution,[],[f33,f41]) ).

fof(f33,plain,
    ! [X0,X1] :
      ( ~ latin(X0,X1,p2)
      | ~ latin(X0,X1,p1) ),
    inference(resolution,[],[f4,f1]) ).

fof(f4,axiom,
    ! [X2,X3,X0,X1] :
      ( eq(X3,X2)
      | ~ latin(X0,X1,X3)
      | ~ latin(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',latin_element_is_unique) ).

fof(f32,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f24,f30,f27]) ).

fof(f24,plain,
    ! [X0,X1] :
      ( ~ latin(p2,p2,X0)
      | ~ latin(p1,p1,X0)
      | ~ greek(p2,p2,X1)
      | ~ greek(p1,p1,X1) ),
    inference(resolution,[],[f17,f1]) ).

fof(f17,plain,
    ! [X2,X3,X0,X1] :
      ( eq(X0,X1)
      | ~ latin(X1,X1,X3)
      | ~ greek(X1,X1,X2)
      | ~ latin(X0,X0,X3)
      | ~ greek(X0,X0,X2) ),
    inference(factoring,[],[f16]) ).

fof(f16,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( eq(X5,X1)
      | eq(X4,X0)
      | ~ greek(X4,X5,X2)
      | ~ latin(X0,X1,X3)
      | ~ greek(X0,X1,X2)
      | ~ latin(X4,X5,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_two_same) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : MSC008-2.002 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % 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 : n014.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 03:27:33 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.48  % (15388)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.20/0.48  % (15406)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.49  % (15396)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.20/0.50  % (15396)First to succeed.
% 0.20/0.50  % (15406)Refutation not found, incomplete strategy% (15406)------------------------------
% 0.20/0.50  % (15406)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (15396)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  % (15396)------------------------------
% 0.20/0.50  % (15396)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (15396)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (15396)Termination reason: Refutation
% 0.20/0.50  
% 0.20/0.50  % (15396)Memory used [KB]: 5884
% 0.20/0.50  % (15396)Time elapsed: 0.098 s
% 0.20/0.50  % (15396)Instructions burned: 3 (million)
% 0.20/0.50  % (15396)------------------------------
% 0.20/0.50  % (15396)------------------------------
% 0.20/0.50  % (15382)Success in time 0.146 s
%------------------------------------------------------------------------------