TSTP Solution File: LCL460+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LCL460+1 : TPTP v8.1.2. Released v3.3.0.
% 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 : 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 : Sun May  5 07:35:52 EDT 2024

% Result   : Theorem 0.58s 0.74s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   30 (   9 unt;   0 def)
%            Number of atoms       :   52 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   39 (  17   ~;  12   |;   0   &)
%                                         (   7 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    8 (   7 usr;   7 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   22 (  18   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f325,plain,
    $false,
    inference(avatar_sat_refutation,[],[f203,f276,f309,f322,f324]) ).

fof(f324,plain,
    ( ~ spl2_14
    | spl2_31 ),
    inference(avatar_contradiction_clause,[],[f323]) ).

fof(f323,plain,
    ( $false
    | ~ spl2_14
    | spl2_31 ),
    inference(resolution,[],[f202,f271]) ).

fof(f271,plain,
    ( ~ is_a_theorem(implies(and(sK0,sK1),sK0))
    | spl2_31 ),
    inference(avatar_component_clause,[],[f269]) ).

fof(f269,plain,
    ( spl2_31
  <=> is_a_theorem(implies(and(sK0,sK1),sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_31])]) ).

fof(f202,plain,
    ( ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0))
    | ~ spl2_14 ),
    inference(avatar_component_clause,[],[f201]) ).

fof(f201,plain,
    ( spl2_14
  <=> ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_14])]) ).

fof(f322,plain,
    ~ spl2_32,
    inference(avatar_split_clause,[],[f147,f273]) ).

fof(f273,plain,
    ( spl2_32
  <=> kn2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_32])]) ).

fof(f147,plain,
    ~ kn2,
    inference(cnf_transformation,[],[f66]) ).

fof(f66,plain,
    ~ kn2,
    inference(flattening,[],[f54]) ).

fof(f54,negated_conjecture,
    ~ kn2,
    inference(negated_conjecture,[],[f53]) ).

fof(f53,conjecture,
    kn2,
    file('/export/starexec/sandbox/tmp/tmp.wyAaRUhXKW/Vampire---4.8_2781',rosser_kn2) ).

fof(f309,plain,
    spl2_13,
    inference(avatar_split_clause,[],[f134,f197]) ).

fof(f197,plain,
    ( spl2_13
  <=> and_1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_13])]) ).

fof(f134,plain,
    and_1,
    inference(cnf_transformation,[],[f40]) ).

fof(f40,axiom,
    and_1,
    file('/export/starexec/sandbox/tmp/tmp.wyAaRUhXKW/Vampire---4.8_2781',hilbert_and_1) ).

fof(f276,plain,
    ( ~ spl2_31
    | spl2_32 ),
    inference(avatar_split_clause,[],[f122,f273,f269]) ).

fof(f122,plain,
    ( kn2
    | ~ is_a_theorem(implies(and(sK0,sK1),sK0)) ),
    inference(cnf_transformation,[],[f106]) ).

fof(f106,plain,
    ( kn2
    | ~ is_a_theorem(implies(and(sK0,sK1),sK0)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f101,f105]) ).

fof(f105,plain,
    ( ? [X0,X1] : ~ is_a_theorem(implies(and(X0,X1),X0))
   => ~ is_a_theorem(implies(and(sK0,sK1),sK0)) ),
    introduced(choice_axiom,[]) ).

fof(f101,plain,
    ( kn2
    | ? [X0,X1] : ~ is_a_theorem(implies(and(X0,X1),X0)) ),
    inference(ennf_transformation,[],[f67]) ).

fof(f67,plain,
    ( ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0))
   => kn2 ),
    inference(unused_predicate_definition_removal,[],[f56]) ).

fof(f56,plain,
    ( kn2
  <=> ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0)) ),
    inference(rectify,[],[f17]) ).

fof(f17,axiom,
    ( kn2
  <=> ! [X3,X4] : is_a_theorem(implies(and(X3,X4),X3)) ),
    file('/export/starexec/sandbox/tmp/tmp.wyAaRUhXKW/Vampire---4.8_2781',kn2) ).

fof(f203,plain,
    ( ~ spl2_13
    | spl2_14 ),
    inference(avatar_split_clause,[],[f113,f201,f197]) ).

fof(f113,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(and(X0,X1),X0))
      | ~ and_1 ),
    inference(cnf_transformation,[],[f92]) ).

fof(f92,plain,
    ( ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0))
    | ~ and_1 ),
    inference(ennf_transformation,[],[f76]) ).

fof(f76,plain,
    ( and_1
   => ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0)) ),
    inference(unused_predicate_definition_removal,[],[f7]) ).

fof(f7,axiom,
    ( and_1
  <=> ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0)) ),
    file('/export/starexec/sandbox/tmp/tmp.wyAaRUhXKW/Vampire---4.8_2781',and_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : LCL460+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.15  % 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
% 0.15/0.35  % Computer : n021.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Fri May  3 13:44:58 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.35  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.wyAaRUhXKW/Vampire---4.8_2781
% 0.58/0.73  % (3172)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)
% 0.58/0.73  % (3172)Refutation not found, incomplete strategy% (3172)------------------------------
% 0.58/0.73  % (3172)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.73  % (3172)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.73  
% 0.58/0.73  % (3172)Memory used [KB]: 986
% 0.58/0.73  % (3172)Time elapsed: 0.002 s
% 0.58/0.73  % (3172)Instructions burned: 2 (million)
% 0.58/0.74  % (3172)------------------------------
% 0.58/0.74  % (3172)------------------------------
% 0.58/0.74  % (3166)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)
% 0.58/0.74  % (3168)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.74  % (3169)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)
% 0.58/0.74  % (3167)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)
% 0.58/0.74  % (3171)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)
% 0.58/0.74  % (3170)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)
% 0.58/0.74  % (3173)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)
% 0.58/0.74  % (3166)Refutation not found, incomplete strategy% (3166)------------------------------
% 0.58/0.74  % (3166)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.74  % (3166)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.74  % (3168)Refutation not found, incomplete strategy% (3168)------------------------------
% 0.58/0.74  % (3168)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.74  % (3168)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.74  
% 0.58/0.74  % (3169)Refutation not found, incomplete strategy% (3169)------------------------------
% 0.58/0.74  % (3169)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.74  % (3168)Memory used [KB]: 985
% 0.58/0.74  % (3168)Time elapsed: 0.002 s
% 0.58/0.74  % (3169)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.74  
% 0.58/0.74  % (3168)Instructions burned: 2 (million)
% 0.58/0.74  % (3169)Memory used [KB]: 986
% 0.58/0.74  % (3169)Time elapsed: 0.002 s
% 0.58/0.74  % (3169)Instructions burned: 2 (million)
% 0.58/0.74  % (3171)Refutation not found, incomplete strategy% (3171)------------------------------
% 0.58/0.74  % (3171)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.74  % (3171)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.74  
% 0.58/0.74  % (3171)Memory used [KB]: 986
% 0.58/0.74  % (3171)Time elapsed: 0.002 s
% 0.58/0.74  % (3171)Instructions burned: 2 (million)
% 0.58/0.74  
% 0.58/0.74  % (3166)Memory used [KB]: 986
% 0.58/0.74  % (3166)Time elapsed: 0.002 s
% 0.58/0.74  % (3166)Instructions burned: 2 (million)
% 0.58/0.74  % (3173)Refutation not found, incomplete strategy% (3173)------------------------------
% 0.58/0.74  % (3173)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.74  % (3168)------------------------------
% 0.58/0.74  % (3168)------------------------------
% 0.58/0.74  % (3169)------------------------------
% 0.58/0.74  % (3169)------------------------------
% 0.58/0.74  % (3171)------------------------------
% 0.58/0.74  % (3171)------------------------------
% 0.58/0.74  % (3173)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.74  
% 0.58/0.74  % (3173)Memory used [KB]: 986
% 0.58/0.74  % (3173)Time elapsed: 0.002 s
% 0.58/0.74  % (3173)Instructions burned: 2 (million)
% 0.58/0.74  % (3166)------------------------------
% 0.58/0.74  % (3166)------------------------------
% 0.58/0.74  % (3173)------------------------------
% 0.58/0.74  % (3173)------------------------------
% 0.58/0.74  % (3170)Refutation not found, incomplete strategy% (3170)------------------------------
% 0.58/0.74  % (3170)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.74  % (3170)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.74  
% 0.58/0.74  % (3170)Memory used [KB]: 1072
% 0.58/0.74  % (3170)Time elapsed: 0.003 s
% 0.58/0.74  % (3170)Instructions burned: 3 (million)
% 0.58/0.74  % (3170)------------------------------
% 0.58/0.74  % (3170)------------------------------
% 0.58/0.74  % (3178)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)
% 0.58/0.74  % (3167)First to succeed.
% 0.58/0.74  % (3167)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3004"
% 0.58/0.74  % (3167)Refutation found. Thanks to Tanya!
% 0.58/0.74  % SZS status Theorem for Vampire---4
% 0.58/0.74  % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.74  % (3167)------------------------------
% 0.58/0.74  % (3167)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.74  % (3167)Termination reason: Refutation
% 0.58/0.74  
% 0.58/0.74  % (3167)Memory used [KB]: 1138
% 0.58/0.74  % (3167)Time elapsed: 0.005 s
% 0.58/0.74  % (3167)Instructions burned: 5 (million)
% 0.58/0.74  % (3004)Success in time 0.382 s
% 0.58/0.74  % Vampire---4.8 exiting
%------------------------------------------------------------------------------