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 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n019.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   : Theorem 0.54s 0.73s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   45 (   5 unt;   0 def)
%            Number of atoms       :  107 (  61 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  107 (  45   ~;  50   |;   1   &)
%                                         (  10 <=>;   0  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   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   :   60 (  50   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f274,plain,
    $false,
    inference(avatar_sat_refutation,[],[f160,f257,f273]) ).

fof(f273,plain,
    ~ spl5_4,
    inference(avatar_contradiction_clause,[],[f272]) ).

fof(f272,plain,
    ( $false
    | ~ spl5_4 ),
    inference(subsumption_resolution,[],[f159,f271]) ).

fof(f271,plain,
    ! [X0] : ~ big_f(sK0(sK3),X0),
    inference(subsumption_resolution,[],[f270,f11]) ).

fof(f11,plain,
    ! [X2,X3] :
      ( ~ big_f(X2,X3)
      | sK4 = X3 ),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ? [X0,X1] :
    ! [X2,X3] :
      ( big_f(X2,X3)
    <=> ( X1 = X3
        & X0 = X2 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.dyITkTReXl/Vampire---4.8_18480',pel51_1) ).

fof(f270,plain,
    ! [X0] :
      ( ~ big_f(sK0(sK3),X0)
      | sK4 != X0 ),
    inference(subsumption_resolution,[],[f227,f10]) ).

fof(f10,plain,
    ! [X2,X3] :
      ( ~ big_f(X2,X3)
      | sK3 = X2 ),
    inference(cnf_transformation,[],[f1]) ).

fof(f227,plain,
    ! [X0] :
      ( ~ big_f(sK0(sK3),X0)
      | sK3 != sK0(sK3)
      | sK4 != X0 ),
    inference(trivial_inequality_removal,[],[f219]) ).

fof(f219,plain,
    ! [X0] :
      ( ~ big_f(sK0(sK3),X0)
      | X0 != X0
      | sK3 != sK0(sK3)
      | sK4 != X0 ),
    inference(superposition,[],[f7,f149]) ).

fof(f149,plain,
    ! [X0] :
      ( sK2(sK3,X0) = X0
      | sK4 != X0 ),
    inference(equality_factoring,[],[f137]) ).

fof(f137,plain,
    ! [X0] :
      ( sK2(sK3,X0) = X0
      | sK4 = sK2(sK3,X0) ),
    inference(equality_resolution,[],[f128]) ).

fof(f128,plain,
    ! [X0,X1] :
      ( sK3 != X0
      | sK2(X0,X1) = X1
      | sK4 = sK2(X0,X1) ),
    inference(resolution,[],[f123,f11]) ).

fof(f123,plain,
    ! [X0,X1] :
      ( big_f(sK3,sK2(X0,X1))
      | sK2(X0,X1) = X1
      | sK3 != X0 ),
    inference(duplicate_literal_removal,[],[f119]) ).

fof(f119,plain,
    ! [X0,X1] :
      ( big_f(sK3,sK2(X0,X1))
      | sK2(X0,X1) = X1
      | sK3 != X0
      | sK3 != X0 ),
    inference(superposition,[],[f6,f22]) ).

fof(f22,plain,
    ! [X0] :
      ( sK0(X0) = sK3
      | sK3 != X0 ),
    inference(equality_factoring,[],[f16]) ).

fof(f16,plain,
    ! [X0] :
      ( sK0(X0) = X0
      | sK0(X0) = sK3 ),
    inference(resolution,[],[f13,f10]) ).

fof(f13,plain,
    ! [X0] :
      ( big_f(sK0(X0),sK1(X0))
      | sK0(X0) = X0 ),
    inference(equality_resolution,[],[f8]) ).

fof(f8,plain,
    ! [X3,X0] :
      ( sK0(X0) = X0
      | sK1(X0) != X3
      | big_f(sK0(X0),X3) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f5,plain,
    ! [X0] :
    ? [X1] :
      ( ? [X2] :
        ! [X3] :
          ( big_f(X1,X3)
        <=> X2 = X3 )
    <~> X0 = X1 ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ~ ? [X0] :
      ! [X1] :
        ( ? [X2] :
          ! [X3] :
            ( big_f(X1,X3)
          <=> X2 = X3 )
      <=> X0 = X1 ),
    inference(rectify,[],[f3]) ).

fof(f3,negated_conjecture,
    ~ ? [X0] :
      ! [X2] :
        ( ? [X1] :
          ! [X3] :
            ( big_f(X2,X3)
          <=> X1 = X3 )
      <=> X0 = X2 ),
    inference(negated_conjecture,[],[f2]) ).

fof(f2,conjecture,
    ? [X0] :
    ! [X2] :
      ( ? [X1] :
        ! [X3] :
          ( big_f(X2,X3)
        <=> X1 = X3 )
    <=> X0 = X2 ),
    file('/export/starexec/sandbox2/tmp/tmp.dyITkTReXl/Vampire---4.8_18480',pel51) ).

fof(f6,plain,
    ! [X2,X0] :
      ( big_f(sK0(X0),sK2(X0,X2))
      | sK2(X0,X2) = X2
      | sK0(X0) != X0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f7,plain,
    ! [X2,X0] :
      ( ~ big_f(sK0(X0),sK2(X0,X2))
      | sK2(X0,X2) != X2
      | sK0(X0) != X0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( big_f(sK0(sK3),sK4)
    | ~ spl5_4 ),
    inference(avatar_component_clause,[],[f157]) ).

fof(f157,plain,
    ( spl5_4
  <=> big_f(sK0(sK3),sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_4])]) ).

fof(f257,plain,
    ~ spl5_3,
    inference(avatar_contradiction_clause,[],[f246]) ).

fof(f246,plain,
    ( $false
    | ~ spl5_3 ),
    inference(unit_resulting_resolution,[],[f15,f235]) ).

fof(f235,plain,
    ( ! [X0] : ~ big_f(sK3,X0)
    | ~ spl5_3 ),
    inference(forward_demodulation,[],[f234,f169]) ).

fof(f169,plain,
    ( sK3 = sK0(sK3)
    | ~ spl5_3 ),
    inference(forward_demodulation,[],[f163,f161]) ).

fof(f161,plain,
    ( ! [X0] : sK2(sK3,X0) = X0
    | ~ spl5_3 ),
    inference(subsumption_resolution,[],[f155,f149]) ).

fof(f155,plain,
    ( ! [X0] :
        ( sK4 = X0
        | sK2(sK3,X0) = X0 )
    | ~ spl5_3 ),
    inference(avatar_component_clause,[],[f154]) ).

fof(f154,plain,
    ( spl5_3
  <=> ! [X0] :
        ( sK4 = X0
        | sK2(sK3,X0) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).

fof(f163,plain,
    ( sK3 = sK0(sK2(sK3,sK3))
    | ~ spl5_3 ),
    inference(unit_resulting_resolution,[],[f161,f22]) ).

fof(f234,plain,
    ( ! [X0] : ~ big_f(sK0(sK3),X0)
    | ~ spl5_3 ),
    inference(forward_demodulation,[],[f211,f161]) ).

fof(f211,plain,
    ( ! [X0] : ~ big_f(sK0(sK3),sK2(sK3,X0))
    | ~ spl5_3 ),
    inference(unit_resulting_resolution,[],[f169,f161,f7]) ).

fof(f15,plain,
    big_f(sK3,sK4),
    inference(equality_resolution,[],[f14]) ).

fof(f14,plain,
    ! [X3] :
      ( sK4 != X3
      | big_f(sK3,X3) ),
    inference(equality_resolution,[],[f12]) ).

fof(f12,plain,
    ! [X2,X3] :
      ( sK3 != X2
      | sK4 != X3
      | big_f(X2,X3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f160,plain,
    ( spl5_3
    | spl5_4 ),
    inference(avatar_split_clause,[],[f152,f157,f154]) ).

fof(f152,plain,
    ! [X0] :
      ( big_f(sK0(sK3),sK4)
      | sK4 = X0
      | sK2(sK3,X0) = X0 ),
    inference(subsumption_resolution,[],[f147,f125]) ).

fof(f125,plain,
    ! [X0,X1] :
      ( sK2(X0,X1) = X1
      | sK0(X0) = sK3 ),
    inference(subsumption_resolution,[],[f116,f16]) ).

fof(f116,plain,
    ! [X0,X1] :
      ( sK2(X0,X1) = X1
      | sK0(X0) != X0
      | sK0(X0) = sK3 ),
    inference(resolution,[],[f6,f10]) ).

fof(f147,plain,
    ! [X0] :
      ( big_f(sK0(sK3),sK4)
      | sK4 = X0
      | sK3 != sK0(sK3)
      | sK2(sK3,X0) = X0 ),
    inference(superposition,[],[f6,f137]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN074+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35  % Computer : n019.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 17:19:23 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.dyITkTReXl/Vampire---4.8_18480
% 0.54/0.73  % (18596)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)
% 0.54/0.73  % (18589)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)
% 0.54/0.73  % (18589)Refutation not found, incomplete strategy% (18589)------------------------------
% 0.54/0.73  % (18589)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.73  % (18589)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.73  
% 0.54/0.73  % (18589)Memory used [KB]: 970
% 0.54/0.73  % (18589)Time elapsed: 0.003 s
% 0.54/0.73  % (18589)Instructions burned: 3 (million)
% 0.54/0.73  % (18596)Refutation not found, incomplete strategy% (18596)------------------------------
% 0.54/0.73  % (18596)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.73  % (18596)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.73  
% 0.54/0.73  % (18596)Memory used [KB]: 955
% 0.54/0.73  % (18596)Time elapsed: 0.004 s
% 0.54/0.73  % (18596)Instructions burned: 2 (million)
% 0.54/0.73  % (18596)------------------------------
% 0.54/0.73  % (18596)------------------------------
% 0.54/0.73  % (18589)------------------------------
% 0.54/0.73  % (18589)------------------------------
% 0.54/0.73  % (18595)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)
% 0.54/0.73  % (18591)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.73  % (18590)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)
% 0.54/0.73  % (18597)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)
% 0.54/0.73  % (18598)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.54/0.73  % (18597)Refutation not found, incomplete strategy% (18597)------------------------------
% 0.54/0.73  % (18597)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.73  % (18597)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.73  % (18595)First to succeed.
% 0.54/0.73  
% 0.54/0.73  % (18597)Memory used [KB]: 953
% 0.54/0.73  % (18597)Time elapsed: 0.002 s
% 0.54/0.73  % (18597)Instructions burned: 2 (million)
% 0.54/0.73  % (18592)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)
% 0.54/0.73  % (18590)Also succeeded, but the first one will report.
% 0.54/0.73  % (18597)------------------------------
% 0.54/0.73  % (18597)------------------------------
% 0.54/0.73  % (18595)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-18588"
% 0.54/0.73  % (18591)Also succeeded, but the first one will report.
% 0.54/0.73  % (18598)Refutation not found, incomplete strategy% (18598)------------------------------
% 0.54/0.73  % (18598)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.73  % (18598)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.73  
% 0.54/0.73  % (18598)Memory used [KB]: 972
% 0.54/0.73  % (18598)Time elapsed: 0.003 s
% 0.54/0.73  % (18598)Instructions burned: 4 (million)
% 0.54/0.73  % (18595)Refutation found. Thanks to Tanya!
% 0.54/0.73  % SZS status Theorem for Vampire---4
% 0.54/0.73  % SZS output start Proof for Vampire---4
% See solution above
% 0.54/0.73  % (18595)------------------------------
% 0.54/0.73  % (18595)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.73  % (18595)Termination reason: Refutation
% 0.54/0.73  
% 0.54/0.73  % (18595)Memory used [KB]: 1075
% 0.54/0.73  % (18595)Time elapsed: 0.005 s
% 0.54/0.73  % (18595)Instructions burned: 10 (million)
% 0.54/0.73  % (18588)Success in time 0.37 s
% 0.54/0.73  % Vampire---4.8 exiting
%------------------------------------------------------------------------------