TSTP Solution File: SYN074-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN074-1 : TPTP v8.1.2. Released v1.0.0.
% 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 : n008.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 11:55:56 EDT 2024

% Result   : Unsatisfiable 0.54s 0.75s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   33 (   5 unt;   0 def)
%            Number of atoms       :   77 (  37 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   83 (  39   ~;  42   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   3 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   28 (  28   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f152,plain,
    $false,
    inference(avatar_sat_refutation,[],[f56,f149,f151]) ).

fof(f151,plain,
    spl0_5,
    inference(avatar_contradiction_clause,[],[f150]) ).

fof(f150,plain,
    ( $false
    | spl0_5 ),
    inference(resolution,[],[f142,f13]) ).

fof(f13,plain,
    big_f(a,b),
    inference(equality_resolution,[],[f12]) ).

fof(f12,plain,
    ! [X0] :
      ( big_f(X0,b)
      | a != X0 ),
    inference(equality_resolution,[],[f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( big_f(X0,X1)
      | b != X1
      | a != X0 ),
    file('/export/starexec/sandbox/tmp/tmp.aQGWVTbcXD/Vampire---4.8_5002',clause_3) ).

fof(f142,plain,
    ( ~ big_f(a,b)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f140]) ).

fof(f140,plain,
    ( spl0_5
  <=> big_f(a,b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f149,plain,
    ( ~ spl0_5
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f148,f48,f140]) ).

fof(f48,plain,
    ( spl0_2
  <=> ! [X0] :
        ( big_f(a,h(a,X0))
        | h(a,X0) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f148,plain,
    ( ~ big_f(a,b)
    | ~ spl0_2 ),
    inference(trivial_inequality_removal,[],[f147]) ).

fof(f147,plain,
    ( a != a
    | ~ big_f(a,b)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f134,f37]) ).

fof(f37,plain,
    a = f(a),
    inference(equality_resolution,[],[f35]) ).

fof(f35,plain,
    ! [X0] :
      ( a != X0
      | a = f(X0) ),
    inference(equality_factoring,[],[f26]) ).

fof(f26,plain,
    ! [X0] :
      ( f(X0) = X0
      | a = f(X0) ),
    inference(resolution,[],[f1,f15]) ).

fof(f15,plain,
    ! [X0] :
      ( big_f(f(X0),g(X0))
      | f(X0) = X0 ),
    inference(equality_resolution,[],[f8]) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( f(X0) = X0
      | big_f(f(X0),X1)
      | g(X0) != X1 ),
    file('/export/starexec/sandbox/tmp/tmp.aQGWVTbcXD/Vampire---4.8_5002',clause_8) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ big_f(X0,X1)
      | a = X0 ),
    file('/export/starexec/sandbox/tmp/tmp.aQGWVTbcXD/Vampire---4.8_5002',clause_1) ).

fof(f134,plain,
    ( ~ big_f(a,b)
    | a != f(a)
    | ~ spl0_2 ),
    inference(trivial_inequality_removal,[],[f130]) ).

fof(f130,plain,
    ( b != b
    | ~ big_f(a,b)
    | a != f(a)
    | ~ spl0_2 ),
    inference(superposition,[],[f21,f124]) ).

fof(f124,plain,
    ( b = h(a,b)
    | ~ spl0_2 ),
    inference(equality_resolution,[],[f108]) ).

fof(f108,plain,
    ( ! [X0] :
        ( b != X0
        | b = h(a,X0) )
    | ~ spl0_2 ),
    inference(equality_factoring,[],[f88]) ).

fof(f88,plain,
    ( ! [X0] :
        ( h(a,X0) = X0
        | b = h(a,X0) )
    | ~ spl0_2 ),
    inference(resolution,[],[f2,f49]) ).

fof(f49,plain,
    ( ! [X0] :
        ( big_f(a,h(a,X0))
        | h(a,X0) = X0 )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f48]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( ~ big_f(X0,X1)
      | b = X1 ),
    file('/export/starexec/sandbox/tmp/tmp.aQGWVTbcXD/Vampire---4.8_5002',clause_2) ).

fof(f21,plain,
    ! [X2,X0] :
      ( h(X0,X2) != X2
      | ~ big_f(X0,X2)
      | f(X0) != X0 ),
    inference(inner_rewriting,[],[f20]) ).

fof(f20,plain,
    ! [X2,X0] :
      ( ~ big_f(f(X0),X2)
      | h(X0,X2) != X2
      | f(X0) != X0 ),
    inference(inner_rewriting,[],[f11]) ).

fof(f11,axiom,
    ! [X2,X0] :
      ( ~ big_f(f(X0),h(X0,X2))
      | h(X0,X2) != X2
      | f(X0) != X0 ),
    file('/export/starexec/sandbox/tmp/tmp.aQGWVTbcXD/Vampire---4.8_5002',clause_11) ).

fof(f56,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f43,f48]) ).

fof(f43,plain,
    ! [X0] :
      ( big_f(a,h(a,X0))
      | h(a,X0) = X0 ),
    inference(trivial_inequality_removal,[],[f40]) ).

fof(f40,plain,
    ! [X0] :
      ( a != a
      | big_f(a,h(a,X0))
      | h(a,X0) = X0 ),
    inference(superposition,[],[f19,f37]) ).

fof(f19,plain,
    ! [X2,X0] :
      ( f(X0) != X0
      | big_f(X0,h(X0,X2))
      | h(X0,X2) = X2 ),
    inference(inner_rewriting,[],[f10]) ).

fof(f10,axiom,
    ! [X2,X0] :
      ( h(X0,X2) = X2
      | big_f(f(X0),h(X0,X2))
      | f(X0) != X0 ),
    file('/export/starexec/sandbox/tmp/tmp.aQGWVTbcXD/Vampire---4.8_5002',clause_10) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10  % Problem    : SYN074-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.11  % 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
% 0.10/0.31  % Computer : n008.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Fri May  3 17:47:52 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.10/0.31  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.10/0.31  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.aQGWVTbcXD/Vampire---4.8_5002
% 0.54/0.74  % (5113)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 (2995ds/51Mi)
% 0.54/0.74  % (5117)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.54/0.74  % (5114)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.54/0.74  % (5118)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 (2995ds/83Mi)
% 0.54/0.74  % (5115)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.54/0.74  % (5116)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 (2995ds/34Mi)
% 0.54/0.74  % (5112)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 (2995ds/34Mi)
% 0.54/0.74  % (5119)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 (2995ds/56Mi)
% 0.54/0.74  % (5115)Refutation not found, incomplete strategy% (5115)------------------------------
% 0.54/0.74  % (5115)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.74  % (5117)Refutation not found, incomplete strategy% (5117)------------------------------
% 0.54/0.74  % (5117)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.74  % (5115)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.74  
% 0.54/0.74  % (5115)Memory used [KB]: 951
% 0.54/0.74  % (5115)Time elapsed: 0.003 s
% 0.54/0.74  % (5115)Instructions burned: 2 (million)
% 0.54/0.74  % (5114)Refutation not found, incomplete strategy% (5114)------------------------------
% 0.54/0.74  % (5114)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.74  % (5114)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.74  
% 0.54/0.74  % (5114)Memory used [KB]: 952
% 0.54/0.74  % (5114)Time elapsed: 0.003 s
% 0.54/0.74  % (5114)Instructions burned: 3 (million)
% 0.54/0.74  % (5117)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.74  
% 0.54/0.74  % (5117)Memory used [KB]: 964
% 0.54/0.74  % (5117)Time elapsed: 0.003 s
% 0.54/0.74  % (5117)Instructions burned: 2 (million)
% 0.54/0.74  % (5114)------------------------------
% 0.54/0.74  % (5114)------------------------------
% 0.54/0.74  % (5115)------------------------------
% 0.54/0.74  % (5115)------------------------------
% 0.54/0.74  % (5118)Refutation not found, incomplete strategy% (5118)------------------------------
% 0.54/0.74  % (5118)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.74  % (5118)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.74  
% 0.54/0.74  % (5119)Refutation not found, incomplete strategy% (5119)------------------------------
% 0.54/0.74  % (5119)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.74  % (5118)Memory used [KB]: 967
% 0.54/0.74  % (5118)Time elapsed: 0.003 s
% 0.54/0.74  % (5119)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.74  
% 0.54/0.74  % (5118)Instructions burned: 3 (million)
% 0.54/0.74  % (5119)Memory used [KB]: 953
% 0.54/0.74  % (5119)Time elapsed: 0.002 s
% 0.54/0.74  % (5119)Instructions burned: 2 (million)
% 0.54/0.74  % (5117)------------------------------
% 0.54/0.74  % (5117)------------------------------
% 0.54/0.74  % (5118)------------------------------
% 0.54/0.74  % (5118)------------------------------
% 0.54/0.74  % (5119)------------------------------
% 0.54/0.74  % (5119)------------------------------
% 0.54/0.74  % (5112)Refutation not found, incomplete strategy% (5112)------------------------------
% 0.54/0.74  % (5112)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.74  % (5112)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.74  
% 0.54/0.74  % (5112)Memory used [KB]: 972
% 0.54/0.74  % (5112)Time elapsed: 0.004 s
% 0.54/0.74  % (5112)Instructions burned: 4 (million)
% 0.54/0.74  % (5116)Refutation not found, incomplete strategy% (5116)------------------------------
% 0.54/0.74  % (5116)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.74  % (5116)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.74  
% 0.54/0.74  % (5116)Memory used [KB]: 977
% 0.54/0.74  % (5116)Time elapsed: 0.004 s
% 0.54/0.74  % (5116)Instructions burned: 4 (million)
% 0.54/0.74  % (5112)------------------------------
% 0.54/0.74  % (5112)------------------------------
% 0.54/0.74  % (5116)------------------------------
% 0.54/0.74  % (5116)------------------------------
% 0.54/0.74  % (5113)First to succeed.
% 0.54/0.74  % (5113)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-5111"
% 0.54/0.75  % (5113)Refutation found. Thanks to Tanya!
% 0.54/0.75  % SZS status Unsatisfiable for Vampire---4
% 0.54/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.54/0.75  % (5113)------------------------------
% 0.54/0.75  % (5113)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75  % (5113)Termination reason: Refutation
% 0.54/0.75  
% 0.54/0.75  % (5113)Memory used [KB]: 1001
% 0.54/0.75  % (5113)Time elapsed: 0.005 s
% 0.54/0.75  % (5113)Instructions burned: 7 (million)
% 0.54/0.75  % (5111)Success in time 0.43 s
% 0.54/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------