TSTP Solution File: PUZ035-6 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : PUZ035-6 : TPTP v8.1.0. Released v2.0.0.
% 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 : n021.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 18:10:48 EDT 2022

% Result   : Unsatisfiable 0.20s 0.53s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   19 (   3 unt;   0 def)
%            Number of atoms       :   35 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   36 (  20   ~;  12   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   5 prp; 0-1 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f56,plain,
    $false,
    inference(avatar_sat_refutation,[],[f21,f25,f38,f53]) ).

fof(f53,plain,
    ~ spl1_3,
    inference(avatar_contradiction_clause,[],[f52]) ).

fof(f52,plain,
    ( $false
    | ~ spl1_3 ),
    inference(subsumption_resolution,[],[f43,f24]) ).

fof(f24,plain,
    ( ! [X5] : ~ truth(isa(asked,X5))
    | ~ spl1_3 ),
    inference(avatar_component_clause,[],[f23]) ).

fof(f23,plain,
    ( spl1_3
  <=> ! [X5] : ~ truth(isa(asked,X5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).

fof(f43,plain,
    ( truth(isa(asked,knight))
    | ~ spl1_3 ),
    inference(unit_resulting_resolution,[],[f24,f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( truth(isa(X0,knave))
      | truth(isa(X0,knight)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',everyone_a_knight_or_knave) ).

fof(f38,plain,
    ~ spl1_2,
    inference(avatar_contradiction_clause,[],[f37]) ).

fof(f37,plain,
    ( $false
    | ~ spl1_2 ),
    inference(subsumption_resolution,[],[f26,f20]) ).

fof(f20,plain,
    ( ! [X6] : ~ truth(isa(other,X6))
    | ~ spl1_2 ),
    inference(avatar_component_clause,[],[f19]) ).

fof(f19,plain,
    ( spl1_2
  <=> ! [X6] : ~ truth(isa(other,X6)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).

fof(f26,plain,
    ( truth(isa(other,knave))
    | ~ spl1_2 ),
    inference(unit_resulting_resolution,[],[f20,f1]) ).

fof(f25,plain,
    ( ~ spl1_1
    | spl1_3 ),
    inference(avatar_split_clause,[],[f13,f23,f15]) ).

fof(f15,plain,
    ( spl1_1
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).

fof(f13,plain,
    ! [X5] :
      ( ~ truth(isa(asked,X5))
      | ~ sP0 ),
    inference(general_splitting,[],[f11,f12_D]) ).

fof(f12,plain,
    ! [X6] :
      ( ~ truth(isa(other,X6))
      | sP0 ),
    inference(cnf_transformation,[],[f12_D]) ).

fof(f12_D,plain,
    ( ! [X6] : ~ truth(isa(other,X6))
  <=> ~ sP0 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).

fof(f11,axiom,
    ! [X6,X5] :
      ( ~ truth(isa(other,X6))
      | ~ truth(isa(asked,X5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query) ).

fof(f21,plain,
    ( spl1_1
    | spl1_2 ),
    inference(avatar_split_clause,[],[f12,f19,f15]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : PUZ035-6 : TPTP v8.1.0. Released v2.0.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n021.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 10:39:56 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.50  % (27267)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.20/0.50  % (27268)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.50  % (27268)First to succeed.
% 0.20/0.51  % (27275)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51  % (27274)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.51  % (27277)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)
% 0.20/0.52  % (27278)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.20/0.52  % (27266)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.52  % (27288)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.20/0.52  % (27269)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)
% 0.20/0.52  % (27290)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.20/0.52  % (27280)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.20/0.52  % (27292)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.20/0.53  % (27294)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.20/0.53  % (27282)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53  % (27271)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.53  % (27283)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.53  % (27295)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53  % (27270)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.20/0.53  % (27293)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.20/0.53  % (27268)Refutation found. Thanks to Tanya!
% 0.20/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53  % (27268)------------------------------
% 0.20/0.53  % (27268)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (27268)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (27268)Termination reason: Refutation
% 0.20/0.53  
% 0.20/0.53  % (27268)Memory used [KB]: 5756
% 0.20/0.53  % (27268)Time elapsed: 0.083 s
% 0.20/0.53  % (27268)Instructions burned: 2 (million)
% 0.20/0.53  % (27268)------------------------------
% 0.20/0.53  % (27268)------------------------------
% 0.20/0.53  % (27265)Success in time 0.18 s
%------------------------------------------------------------------------------