TSTP Solution File: HWV010-2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : HWV010-2 : TPTP v8.1.0. Released v2.5.0.
% 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 : n024.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 16:58:12 EDT 2022

% Result   : Unsatisfiable 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   22 (  11 unt;   0 def)
%            Number of atoms       :   33 (  12 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   24 (  13   ~;   9   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   3 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-1 aty)
%            Number of variables   :    2 (   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f181,plain,
    $false,
    inference(avatar_sat_refutation,[],[f173,f175,f180]) ).

fof(f180,plain,
    ~ spl2_3,
    inference(avatar_contradiction_clause,[],[f179]) ).

fof(f179,plain,
    ( $false
    | ~ spl2_3 ),
    inference(trivial_inequality_removal,[],[f178]) ).

fof(f178,plain,
    ( n0 != n0
    | ~ spl2_3 ),
    inference(superposition,[],[f145,f168]) ).

fof(f168,plain,
    ( n0 = sF1
    | ~ spl2_3 ),
    inference(avatar_component_clause,[],[f166]) ).

fof(f166,plain,
    ( spl2_3
  <=> n0 = sF1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).

fof(f145,plain,
    n0 != sF1,
    inference(definition_folding,[],[f136,f144]) ).

fof(f144,plain,
    fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = sF1,
    introduced(function_definition,[]) ).

fof(f136,plain,
    n0 != fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),
    inference(definition_unfolding,[],[f134,f4]) ).

fof(f4,axiom,
    ! [X1] : fwork_DOTfifo_DOTrtl_DOTlevel_(X1) = fwork_DOTfifo_DOTrtl_DOTint__level_(X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).

fof(f134,axiom,
    n0 != fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_1) ).

fof(f175,plain,
    spl2_4,
    inference(avatar_contradiction_clause,[],[f174]) ).

fof(f174,plain,
    ( $false
    | spl2_4 ),
    inference(resolution,[],[f172,f143]) ).

fof(f143,plain,
    p__pred_(sF0),
    inference(definition_folding,[],[f135,f142]) ).

fof(f142,plain,
    fwork_DOTfifo_DOTrtl_DOTempty_(t_206) = sF0,
    introduced(function_definition,[]) ).

fof(f135,axiom,
    p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_2) ).

fof(f172,plain,
    ( ~ p__pred_(sF0)
    | spl2_4 ),
    inference(avatar_component_clause,[],[f170]) ).

fof(f170,plain,
    ( spl2_4
  <=> p__pred_(sF0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).

fof(f173,plain,
    ( spl2_3
    | ~ spl2_4 ),
    inference(avatar_split_clause,[],[f164,f170,f166]) ).

fof(f164,plain,
    ( ~ p__pred_(sF0)
    | n0 = sF1 ),
    inference(forward_demodulation,[],[f163,f144]) ).

fof(f163,plain,
    ( ~ p__pred_(sF0)
    | n0 = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) ),
    inference(superposition,[],[f8,f142]) ).

fof(f8,axiom,
    ! [X5] :
      ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X5))
      | n0 = fwork_DOTfifo_DOTrtl_DOTint__level_(X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : HWV010-2 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33  % Computer : n024.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   : Mon Aug 29 22:58:34 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.49  % (23632)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.50  % (23631)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.50  % (23621)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.51  % (23628)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51  % (23641)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.52  % (23632)First to succeed.
% 0.20/0.52  % (23649)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.52  % (23643)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.52  % (23628)Also succeeded, but the first one will report.
% 0.20/0.52  % (23625)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52  % (23645)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.52  % (23632)Refutation found. Thanks to Tanya!
% 0.20/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52  % (23632)------------------------------
% 0.20/0.52  % (23632)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (23632)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (23632)Termination reason: Refutation
% 0.20/0.52  
% 0.20/0.52  % (23632)Memory used [KB]: 5628
% 0.20/0.52  % (23632)Time elapsed: 0.117 s
% 0.20/0.52  % (23632)Instructions burned: 8 (million)
% 0.20/0.52  % (23632)------------------------------
% 0.20/0.52  % (23632)------------------------------
% 0.20/0.52  % (23620)Success in time 0.181 s
%------------------------------------------------------------------------------