TSTP Solution File: LCL197-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LCL197-1 : TPTP v8.1.0. Released v1.1.0.
% 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 : n009.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 17:47:15 EDT 2022

% Result   : Unsatisfiable 0.19s 0.48s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   44 (  20 unt;   0 def)
%            Number of atoms       :   69 (   4 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   50 (  25   ~;  22   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    7 (   5 usr;   4 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :   32 (  32   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f504,plain,
    $false,
    inference(avatar_sat_refutation,[],[f457,f488,f501,f503]) ).

fof(f503,plain,
    ~ spl4_4,
    inference(avatar_contradiction_clause,[],[f502]) ).

fof(f502,plain,
    ( $false
    | ~ spl4_4 ),
    inference(resolution,[],[f73,f14]) ).

fof(f14,plain,
    ~ theorem(sF3),
    inference(definition_folding,[],[f9,f13,f10,f12,f11,f10]) ).

fof(f11,plain,
    sF1 = or(q,sF0),
    introduced(function_definition,[]) ).

fof(f12,plain,
    not(sF1) = sF2,
    introduced(function_definition,[]) ).

fof(f10,plain,
    or(p,q) = sF0,
    introduced(function_definition,[]) ).

fof(f13,plain,
    sF3 = or(sF2,sF0),
    introduced(function_definition,[]) ).

fof(f9,axiom,
    ~ theorem(or(not(or(q,or(p,q))),or(p,q))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

fof(f73,plain,
    ( theorem(sF3)
    | ~ spl4_4 ),
    inference(avatar_component_clause,[],[f71]) ).

fof(f71,plain,
    ( spl4_4
  <=> theorem(sF3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).

fof(f501,plain,
    ( spl4_4
    | ~ spl4_22 ),
    inference(avatar_split_clause,[],[f499,f485,f71]) ).

fof(f485,plain,
    ( spl4_22
  <=> theorem(or(sF3,sF0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_22])]) ).

fof(f499,plain,
    ( theorem(sF3)
    | ~ spl4_22 ),
    inference(resolution,[],[f494,f44]) ).

fof(f44,plain,
    ! [X2] :
      ( ~ theorem(or(X2,X2))
      | theorem(X2) ),
    inference(resolution,[],[f7,f1]) ).

fof(f1,axiom,
    ! [X0] : axiom(or(not(or(X0,X0)),X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_2) ).

fof(f7,axiom,
    ! [X3,X4] :
      ( ~ axiom(or(not(X4),X3))
      | ~ theorem(X4)
      | theorem(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_2) ).

fof(f494,plain,
    ( theorem(or(sF3,sF3))
    | ~ spl4_22 ),
    inference(resolution,[],[f487,f414]) ).

fof(f414,plain,
    ! [X2] :
      ( ~ theorem(or(X2,sF0))
      | theorem(or(X2,sF3)) ),
    inference(resolution,[],[f408,f43]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( theorem(or(X1,X0))
      | ~ theorem(X0) ),
    inference(resolution,[],[f7,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_3) ).

fof(f408,plain,
    ! [X0] :
      ( ~ theorem(or(sF2,or(X0,sF0)))
      | theorem(or(X0,sF3)) ),
    inference(resolution,[],[f143,f7]) ).

fof(f143,plain,
    ! [X2] : axiom(or(not(or(sF2,or(X2,sF0))),or(X2,sF3))),
    inference(superposition,[],[f4,f13]) ).

fof(f4,axiom,
    ! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_5) ).

fof(f487,plain,
    ( theorem(or(sF3,sF0))
    | ~ spl4_22 ),
    inference(avatar_component_clause,[],[f485]) ).

fof(f488,plain,
    ( ~ spl4_10
    | spl4_22 ),
    inference(avatar_split_clause,[],[f294,f485,f209]) ).

fof(f209,plain,
    ( spl4_10
  <=> theorem(or(sF2,sF1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_10])]) ).

fof(f294,plain,
    ( theorem(or(sF3,sF0))
    | ~ theorem(or(sF2,sF1)) ),
    inference(superposition,[],[f287,f13]) ).

fof(f287,plain,
    ! [X2] :
      ( theorem(or(or(X2,sF0),sF0))
      | ~ theorem(or(X2,sF1)) ),
    inference(resolution,[],[f283,f219]) ).

fof(f219,plain,
    ! [X0] :
      ( theorem(or(or(X0,sF0),q))
      | ~ theorem(or(X0,sF1)) ),
    inference(resolution,[],[f196,f45]) ).

fof(f45,plain,
    ! [X3,X4] :
      ( ~ theorem(or(X3,X4))
      | theorem(or(X4,X3)) ),
    inference(resolution,[],[f7,f3]) ).

fof(f3,axiom,
    ! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_4) ).

fof(f196,plain,
    ! [X0] :
      ( theorem(or(q,or(X0,sF0)))
      | ~ theorem(or(X0,sF1)) ),
    inference(resolution,[],[f139,f7]) ).

fof(f139,plain,
    ! [X1] : axiom(or(not(or(X1,sF1)),or(q,or(X1,sF0)))),
    inference(superposition,[],[f4,f11]) ).

fof(f283,plain,
    ! [X2] :
      ( ~ theorem(or(X2,q))
      | theorem(or(X2,sF0)) ),
    inference(resolution,[],[f246,f43]) ).

fof(f246,plain,
    ! [X0] :
      ( ~ theorem(or(p,or(X0,q)))
      | theorem(or(X0,sF0)) ),
    inference(resolution,[],[f141,f7]) ).

fof(f141,plain,
    ! [X0] : axiom(or(not(or(p,or(X0,q))),or(X0,sF0))),
    inference(superposition,[],[f4,f10]) ).

fof(f457,plain,
    spl4_10,
    inference(avatar_split_clause,[],[f454,f209]) ).

fof(f454,plain,
    theorem(or(sF2,sF1)),
    inference(resolution,[],[f443,f44]) ).

fof(f443,plain,
    ! [X16] : theorem(or(X16,or(sF2,sF1))),
    inference(resolution,[],[f136,f24]) ).

fof(f24,plain,
    ! [X0] : theorem(or(sF2,or(X0,sF1))),
    inference(resolution,[],[f17,f6]) ).

fof(f6,axiom,
    ! [X3] :
      ( ~ axiom(X3)
      | theorem(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_1) ).

fof(f17,plain,
    ! [X0] : axiom(or(sF2,or(X0,sF1))),
    inference(superposition,[],[f2,f12]) ).

fof(f136,plain,
    ! [X2,X0,X1] :
      ( ~ theorem(or(X0,or(X1,X2)))
      | theorem(or(X1,or(X0,X2))) ),
    inference(resolution,[],[f4,f7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem    : LCL197-1 : TPTP v8.1.0. Released v1.1.0.
% 0.05/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.32  % Computer : n009.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 300
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Tue Aug 30 01:40:39 EDT 2022
% 0.12/0.32  % CPUTime    : 
% 0.19/0.43  % (19895)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/75Mi)
% 0.19/0.45  % (19883)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.45  % (19887)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.19/0.47  % (19887)Instruction limit reached!
% 0.19/0.47  % (19887)------------------------------
% 0.19/0.47  % (19887)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.47  % (19887)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.47  % (19887)Termination reason: Unknown
% 0.19/0.47  % (19887)Termination phase: Saturation
% 0.19/0.47  
% 0.19/0.47  % (19887)Memory used [KB]: 5500
% 0.19/0.47  % (19887)Time elapsed: 0.069 s
% 0.19/0.47  % (19887)Instructions burned: 8 (million)
% 0.19/0.47  % (19887)------------------------------
% 0.19/0.47  % (19887)------------------------------
% 0.19/0.47  % (19903)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/467Mi)
% 0.19/0.48  % (19883)First to succeed.
% 0.19/0.48  % (19883)Refutation found. Thanks to Tanya!
% 0.19/0.48  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.48  % (19883)------------------------------
% 0.19/0.48  % (19883)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48  % (19883)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48  % (19883)Termination reason: Refutation
% 0.19/0.48  
% 0.19/0.48  % (19883)Memory used [KB]: 5756
% 0.19/0.48  % (19883)Time elapsed: 0.080 s
% 0.19/0.48  % (19883)Instructions burned: 15 (million)
% 0.19/0.48  % (19883)------------------------------
% 0.19/0.48  % (19883)------------------------------
% 0.19/0.48  % (19879)Success in time 0.154 s
%------------------------------------------------------------------------------