TSTP Solution File: PUZ001+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : PUZ001+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n004.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 May  1 03:38:08 EDT 2024

% Result   : Theorem 0.56s 0.78s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   63 (  19 unt;   0 def)
%            Number of atoms       :  119 (  28 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  106 (  50   ~;  40   |;   4   &)
%                                         (   3 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   4 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-1 aty)
%            Number of variables   :   38 (  34   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f94,plain,
    $false,
    inference(avatar_sat_refutation,[],[f71,f75,f84,f93]) ).

fof(f93,plain,
    ~ spl2_1,
    inference(avatar_contradiction_clause,[],[f92]) ).

fof(f92,plain,
    ( $false
    | ~ spl2_1 ),
    inference(subsumption_resolution,[],[f90,f43]) ).

fof(f43,plain,
    agatha != butler,
    inference(cnf_transformation,[],[f13]) ).

fof(f13,axiom,
    agatha != butler,
    file('/export/starexec/sandbox/tmp/tmp.Cl4QamJveN/Vampire---4.8_4642',pel55_11) ).

fof(f90,plain,
    ( agatha = butler
    | ~ spl2_1 ),
    inference(resolution,[],[f89,f37]) ).

fof(f37,plain,
    ! [X0] :
      ( hates(agatha,X0)
      | butler = X0 ),
    inference(cnf_transformation,[],[f21]) ).

fof(f21,plain,
    ! [X0] :
      ( hates(agatha,X0)
      | butler = X0 ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0] :
      ( butler != X0
     => hates(agatha,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.Cl4QamJveN/Vampire---4.8_4642',pel55_7) ).

fof(f89,plain,
    ( ~ hates(agatha,agatha)
    | ~ spl2_1 ),
    inference(resolution,[],[f52,f86]) ).

fof(f86,plain,
    ( killed(charles,agatha)
    | ~ spl2_1 ),
    inference(backward_demodulation,[],[f33,f62]) ).

fof(f62,plain,
    ( charles = sK0
    | ~ spl2_1 ),
    inference(avatar_component_clause,[],[f60]) ).

fof(f60,plain,
    ( spl2_1
  <=> charles = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

fof(f33,plain,
    killed(sK0,agatha),
    inference(cnf_transformation,[],[f26]) ).

fof(f26,plain,
    ( killed(sK0,agatha)
    & lives(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f1,f25]) ).

fof(f25,plain,
    ( ? [X0] :
        ( killed(X0,agatha)
        & lives(X0) )
   => ( killed(sK0,agatha)
      & lives(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f1,axiom,
    ? [X0] :
      ( killed(X0,agatha)
      & lives(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.Cl4QamJveN/Vampire---4.8_4642',pel55_1) ).

fof(f52,plain,
    ! [X0] :
      ( ~ killed(charles,X0)
      | ~ hates(agatha,X0) ),
    inference(resolution,[],[f38,f31]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( hates(X0,X1)
      | ~ killed(X0,X1) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f18,plain,
    ! [X0,X1] :
      ( hates(X0,X1)
      | ~ killed(X0,X1) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( killed(X0,X1)
     => hates(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.Cl4QamJveN/Vampire---4.8_4642',pel55_4) ).

fof(f38,plain,
    ! [X0] :
      ( ~ hates(charles,X0)
      | ~ hates(agatha,X0) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,plain,
    ! [X0] :
      ( ~ hates(charles,X0)
      | ~ hates(agatha,X0) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0] :
      ( hates(agatha,X0)
     => ~ hates(charles,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.Cl4QamJveN/Vampire---4.8_4642',pel55_6) ).

fof(f84,plain,
    ~ spl2_3,
    inference(avatar_contradiction_clause,[],[f83]) ).

fof(f83,plain,
    ( $false
    | ~ spl2_3 ),
    inference(subsumption_resolution,[],[f82,f77]) ).

fof(f77,plain,
    ( killed(butler,agatha)
    | ~ spl2_3 ),
    inference(backward_demodulation,[],[f33,f70]) ).

fof(f70,plain,
    ( butler = sK0
    | ~ spl2_3 ),
    inference(avatar_component_clause,[],[f68]) ).

fof(f68,plain,
    ( spl2_3
  <=> butler = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).

fof(f82,plain,
    ~ killed(butler,agatha),
    inference(forward_demodulation,[],[f81,f48]) ).

fof(f48,plain,
    butler = sK1(butler),
    inference(resolution,[],[f46,f37]) ).

fof(f46,plain,
    ~ hates(agatha,sK1(butler)),
    inference(resolution,[],[f36,f35]) ).

fof(f35,plain,
    ! [X0] : ~ hates(X0,sK1(X0)),
    inference(cnf_transformation,[],[f28]) ).

fof(f28,plain,
    ! [X0] : ~ hates(X0,sK1(X0)),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f12,f27]) ).

fof(f27,plain,
    ! [X0] :
      ( ? [X1] : ~ hates(X0,X1)
     => ~ hates(X0,sK1(X0)) ),
    introduced(choice_axiom,[]) ).

fof(f12,axiom,
    ! [X0] :
    ? [X1] : ~ hates(X0,X1),
    file('/export/starexec/sandbox/tmp/tmp.Cl4QamJveN/Vampire---4.8_4642',pel55_10) ).

fof(f36,plain,
    ! [X0] :
      ( hates(butler,X0)
      | ~ hates(agatha,X0) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f20,plain,
    ! [X0] :
      ( hates(butler,X0)
      | ~ hates(agatha,X0) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f11,axiom,
    ! [X0] :
      ( hates(agatha,X0)
     => hates(butler,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.Cl4QamJveN/Vampire---4.8_4642',pel55_9) ).

fof(f81,plain,
    ~ killed(sK1(butler),agatha),
    inference(resolution,[],[f45,f35]) ).

fof(f45,plain,
    ! [X0] :
      ( hates(butler,X0)
      | ~ killed(X0,agatha) ),
    inference(resolution,[],[f34,f30]) ).

fof(f30,plain,
    ! [X0,X1] :
      ( ~ richer(X0,X1)
      | ~ killed(X0,X1) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,plain,
    ! [X0,X1] :
      ( ~ richer(X0,X1)
      | ~ killed(X0,X1) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( killed(X0,X1)
     => ~ richer(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.Cl4QamJveN/Vampire---4.8_4642',pel55_5) ).

fof(f34,plain,
    ! [X0] :
      ( richer(X0,agatha)
      | hates(butler,X0) ),
    inference(cnf_transformation,[],[f19]) ).

fof(f19,plain,
    ! [X0] :
      ( hates(butler,X0)
      | richer(X0,agatha) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0] :
      ( ~ richer(X0,agatha)
     => hates(butler,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.Cl4QamJveN/Vampire---4.8_4642',pel55_8) ).

fof(f75,plain,
    ~ spl2_2,
    inference(avatar_contradiction_clause,[],[f74]) ).

fof(f74,plain,
    ( $false
    | ~ spl2_2 ),
    inference(subsumption_resolution,[],[f73,f29]) ).

fof(f29,plain,
    ~ killed(agatha,agatha),
    inference(cnf_transformation,[],[f16]) ).

fof(f16,plain,
    ~ killed(agatha,agatha),
    inference(flattening,[],[f15]) ).

fof(f15,negated_conjecture,
    ~ killed(agatha,agatha),
    inference(negated_conjecture,[],[f14]) ).

fof(f14,conjecture,
    killed(agatha,agatha),
    file('/export/starexec/sandbox/tmp/tmp.Cl4QamJveN/Vampire---4.8_4642',pel55) ).

fof(f73,plain,
    ( killed(agatha,agatha)
    | ~ spl2_2 ),
    inference(backward_demodulation,[],[f33,f66]) ).

fof(f66,plain,
    ( agatha = sK0
    | ~ spl2_2 ),
    inference(avatar_component_clause,[],[f64]) ).

fof(f64,plain,
    ( spl2_2
  <=> agatha = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

fof(f71,plain,
    ( spl2_1
    | spl2_2
    | spl2_3 ),
    inference(avatar_split_clause,[],[f58,f68,f64,f60]) ).

fof(f58,plain,
    ( butler = sK0
    | agatha = sK0
    | charles = sK0 ),
    inference(resolution,[],[f39,f32]) ).

fof(f32,plain,
    lives(sK0),
    inference(cnf_transformation,[],[f26]) ).

fof(f39,plain,
    ! [X0] :
      ( ~ lives(X0)
      | butler = X0
      | agatha = X0
      | charles = X0 ),
    inference(cnf_transformation,[],[f24]) ).

fof(f24,plain,
    ! [X0] :
      ( charles = X0
      | butler = X0
      | agatha = X0
      | ~ lives(X0) ),
    inference(flattening,[],[f23]) ).

fof(f23,plain,
    ! [X0] :
      ( charles = X0
      | butler = X0
      | agatha = X0
      | ~ lives(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( lives(X0)
     => ( charles = X0
        | butler = X0
        | agatha = X0 ) ),
    file('/export/starexec/sandbox/tmp/tmp.Cl4QamJveN/Vampire---4.8_4642',pel55_3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.18  % Problem    : PUZ001+1 : TPTP v8.1.2. Released v2.0.0.
% 0.12/0.20  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.41  % Computer : n004.cluster.edu
% 0.14/0.41  % Model    : x86_64 x86_64
% 0.14/0.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41  % Memory   : 8042.1875MB
% 0.14/0.41  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.41  % CPULimit   : 300
% 0.14/0.41  % WCLimit    : 300
% 0.14/0.41  % DateTime   : Tue Apr 30 17:21:33 EDT 2024
% 0.14/0.41  % CPUTime    : 
% 0.14/0.42  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.42  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.Cl4QamJveN/Vampire---4.8_4642
% 0.56/0.78  % (4903)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.56/0.78  % (4903)Refutation not found, incomplete strategy% (4903)------------------------------
% 0.56/0.78  % (4903)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.78  % (4903)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.78  
% 0.56/0.78  % (4903)Memory used [KB]: 948
% 0.56/0.78  % (4903)Time elapsed: 0.002 s
% 0.56/0.78  % (4903)Instructions burned: 2 (million)
% 0.56/0.78  % (4903)------------------------------
% 0.56/0.78  % (4903)------------------------------
% 0.56/0.78  % (4897)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.56/0.78  % (4900)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.56/0.78  % (4898)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.56/0.78  % (4899)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.78  % (4902)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.56/0.78  % (4901)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.56/0.78  % (4904)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.56/0.78  % (4900)Refutation not found, incomplete strategy% (4900)------------------------------
% 0.56/0.78  % (4900)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.78  % (4900)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.78  
% 0.56/0.78  % (4900)Memory used [KB]: 947
% 0.56/0.78  % (4900)Time elapsed: 0.002 s
% 0.56/0.78  % (4900)Instructions burned: 2 (million)
% 0.56/0.78  % (4900)------------------------------
% 0.56/0.78  % (4900)------------------------------
% 0.56/0.78  % (4902)Refutation not found, incomplete strategy% (4902)------------------------------
% 0.56/0.78  % (4902)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.78  % (4902)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.78  
% 0.56/0.78  % (4902)Memory used [KB]: 949
% 0.56/0.78  % (4902)Time elapsed: 0.002 s
% 0.56/0.78  % (4902)Instructions burned: 2 (million)
% 0.56/0.78  % (4902)------------------------------
% 0.56/0.78  % (4902)------------------------------
% 0.56/0.78  % (4901)Refutation not found, incomplete strategy% (4901)------------------------------
% 0.56/0.78  % (4901)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.78  % (4901)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.78  
% 0.56/0.78  % (4901)Memory used [KB]: 952
% 0.56/0.78  % (4901)Time elapsed: 0.002 s
% 0.56/0.78  % (4901)Instructions burned: 2 (million)
% 0.56/0.78  % (4901)------------------------------
% 0.56/0.78  % (4901)------------------------------
% 0.56/0.78  % (4904)Refutation not found, incomplete strategy% (4904)------------------------------
% 0.56/0.78  % (4904)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.78  % (4904)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.78  
% 0.56/0.78  % (4904)Memory used [KB]: 949
% 0.56/0.78  % (4904)Time elapsed: 0.002 s
% 0.56/0.78  % (4904)Instructions burned: 2 (million)
% 0.56/0.78  % (4904)------------------------------
% 0.56/0.78  % (4904)------------------------------
% 0.56/0.78  % (4897)Refutation not found, incomplete strategy% (4897)------------------------------
% 0.56/0.78  % (4897)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.78  % (4897)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.78  
% 0.56/0.78  % (4897)Memory used [KB]: 967
% 0.56/0.78  % (4897)Time elapsed: 0.003 s
% 0.56/0.78  % (4897)Instructions burned: 2 (million)
% 0.56/0.78  % (4897)------------------------------
% 0.56/0.78  % (4897)------------------------------
% 0.56/0.78  % (4899)First to succeed.
% 0.56/0.78  % (4898)Also succeeded, but the first one will report.
% 0.56/0.78  % (4905)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.56/0.78  % (4899)Refutation found. Thanks to Tanya!
% 0.56/0.78  % SZS status Theorem for Vampire---4
% 0.56/0.78  % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.78  % (4899)------------------------------
% 0.56/0.78  % (4899)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.78  % (4899)Termination reason: Refutation
% 0.56/0.78  
% 0.56/0.78  % (4899)Memory used [KB]: 993
% 0.56/0.78  % (4899)Time elapsed: 0.005 s
% 0.56/0.78  % (4899)Instructions burned: 5 (million)
% 0.56/0.78  % (4899)------------------------------
% 0.56/0.78  % (4899)------------------------------
% 0.56/0.78  % (4893)Success in time 0.357 s
% 0.56/0.78  % Vampire---4.8 exiting
%------------------------------------------------------------------------------