TSTP Solution File: NUM190-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM190-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 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 : n032.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 03:27:32 EDT 2024

% Result   : Unsatisfiable 0.60s 0.83s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   28 (   6 unt;   0 def)
%            Number of atoms       :   56 (  10 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   50 (  22   ~;  25   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   4 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   16 (  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f581,plain,
    $false,
    inference(avatar_sat_refutation,[],[f504,f535,f575,f579]) ).

fof(f579,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f576]) ).

fof(f576,plain,
    ( $false
    | spl0_1 ),
    inference(resolution,[],[f276,f52]) ).

fof(f52,axiom,
    member(omega,universal_class),
    file('/export/starexec/sandbox/tmp/tmp.FmA3nI3CIw/Vampire---4.8_26025',omega_in_universal) ).

fof(f276,plain,
    ( ~ member(omega,universal_class)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f274]) ).

fof(f274,plain,
    ( spl0_1
  <=> member(omega,universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f575,plain,
    ( ~ spl0_1
    | ~ spl0_34
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f573,f498,f501,f274]) ).

fof(f501,plain,
    ( spl0_34
  <=> inductive(omega) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f498,plain,
    ( spl0_33
  <=> ! [X0] :
        ( member(omega,X0)
        | omega = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f573,plain,
    ( ~ inductive(omega)
    | ~ member(omega,universal_class)
    | ~ spl0_33 ),
    inference(superposition,[],[f330,f567]) ).

fof(f567,plain,
    ( omega = complement(universal_class)
    | ~ spl0_33 ),
    inference(resolution,[],[f538,f52]) ).

fof(f538,plain,
    ( ! [X0] :
        ( ~ member(omega,X0)
        | complement(X0) = omega )
    | ~ spl0_33 ),
    inference(resolution,[],[f499,f24]) ).

fof(f24,axiom,
    ! [X0,X4] :
      ( ~ member(X4,complement(X0))
      | ~ member(X4,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.FmA3nI3CIw/Vampire---4.8_26025',complement1) ).

fof(f499,plain,
    ( ! [X0] :
        ( member(omega,X0)
        | omega = X0 )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f498]) ).

fof(f330,plain,
    ! [X0] :
      ( ~ inductive(complement(X0))
      | ~ member(omega,X0) ),
    inference(resolution,[],[f24,f192]) ).

fof(f192,plain,
    ! [X0] :
      ( member(omega,X0)
      | ~ inductive(X0) ),
    inference(definition_unfolding,[],[f47,f159]) ).

fof(f159,axiom,
    null_class = omega,
    file('/export/starexec/sandbox/tmp/tmp.FmA3nI3CIw/Vampire---4.8_26025',prove_omega_is_not_null_1) ).

fof(f47,axiom,
    ! [X0] :
      ( member(null_class,X0)
      | ~ inductive(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.FmA3nI3CIw/Vampire---4.8_26025',inductive1) ).

fof(f535,plain,
    spl0_34,
    inference(avatar_contradiction_clause,[],[f534]) ).

fof(f534,plain,
    ( $false
    | spl0_34 ),
    inference(resolution,[],[f503,f50]) ).

fof(f50,axiom,
    inductive(omega),
    file('/export/starexec/sandbox/tmp/tmp.FmA3nI3CIw/Vampire---4.8_26025',omega_is_inductive1) ).

fof(f503,plain,
    ( ~ inductive(omega)
    | spl0_34 ),
    inference(avatar_component_clause,[],[f501]) ).

fof(f504,plain,
    ( spl0_33
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f492,f501,f498]) ).

fof(f492,plain,
    ! [X0] :
      ( ~ inductive(omega)
      | member(omega,X0)
      | omega = X0 ),
    inference(superposition,[],[f483,f205]) ).

fof(f205,plain,
    ! [X0] :
      ( omega = intersection(X0,regular(X0))
      | omega = X0 ),
    inference(definition_unfolding,[],[f67,f159,f159]) ).

fof(f67,axiom,
    ! [X0] :
      ( null_class = intersection(X0,regular(X0))
      | null_class = X0 ),
    file('/export/starexec/sandbox/tmp/tmp.FmA3nI3CIw/Vampire---4.8_26025',regularity2) ).

fof(f483,plain,
    ! [X0,X1] :
      ( ~ inductive(intersection(X0,X1))
      | member(omega,X0) ),
    inference(resolution,[],[f21,f192]) ).

fof(f21,axiom,
    ! [X0,X1,X4] :
      ( ~ member(X4,intersection(X0,X1))
      | member(X4,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.FmA3nI3CIw/Vampire---4.8_26025',intersection1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11  % Problem    : NUM190-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.02/0.12  % 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
% 0.11/0.32  % Computer : n032.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Apr 30 17:04:51 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.32  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.11/0.33  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.FmA3nI3CIw/Vampire---4.8_26025
% 0.60/0.82  % (26138)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.82  % (26140)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)
% 0.60/0.82  % (26136)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)
% 0.60/0.82  % (26141)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)
% 0.60/0.82  % (26142)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)
% 0.60/0.82  % (26137)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)
% 0.60/0.82  % (26143)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)
% 0.60/0.82  % (26143)Refutation not found, incomplete strategy% (26143)------------------------------
% 0.60/0.82  % (26143)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82  % (26143)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  
% 0.60/0.82  % (26143)Memory used [KB]: 1088
% 0.60/0.82  % (26143)Time elapsed: 0.002 s
% 0.60/0.82  % (26143)Instructions burned: 2 (million)
% 0.60/0.82  % (26143)------------------------------
% 0.60/0.82  % (26143)------------------------------
% 0.60/0.82  % (26141)Refutation not found, incomplete strategy% (26141)------------------------------
% 0.60/0.82  % (26141)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82  % (26141)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  
% 0.60/0.82  % (26141)Memory used [KB]: 1089
% 0.60/0.82  % (26141)Time elapsed: 0.003 s
% 0.60/0.82  % (26141)Instructions burned: 2 (million)
% 0.60/0.82  % (26141)------------------------------
% 0.60/0.82  % (26141)------------------------------
% 0.60/0.82  % (26139)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)
% 0.60/0.82  % (26136)Refutation not found, incomplete strategy% (26136)------------------------------
% 0.60/0.82  % (26136)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82  % (26136)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  
% 0.60/0.82  % (26136)Memory used [KB]: 1126
% 0.60/0.82  % (26136)Time elapsed: 0.004 s
% 0.60/0.82  % (26136)Instructions burned: 3 (million)
% 0.60/0.82  % (26136)------------------------------
% 0.60/0.82  % (26136)------------------------------
% 0.60/0.82  % (26139)Refutation not found, incomplete strategy% (26139)------------------------------
% 0.60/0.82  % (26139)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82  % (26139)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  
% 0.60/0.82  % (26139)Memory used [KB]: 1088
% 0.60/0.82  % (26139)Time elapsed: 0.002 s
% 0.60/0.82  % (26139)Instructions burned: 2 (million)
% 0.60/0.82  % (26139)------------------------------
% 0.60/0.82  % (26139)------------------------------
% 0.60/0.82  % (26144)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 (2995ds/55Mi)
% 0.60/0.82  % (26145)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 (2995ds/50Mi)
% 0.60/0.82  % (26140)Refutation not found, incomplete strategy% (26140)------------------------------
% 0.60/0.82  % (26140)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82  % (26140)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  
% 0.60/0.82  % (26140)Memory used [KB]: 1173
% 0.60/0.82  % (26140)Time elapsed: 0.006 s
% 0.60/0.82  % (26140)Instructions burned: 8 (million)
% 0.60/0.82  % (26140)------------------------------
% 0.60/0.82  % (26140)------------------------------
% 0.60/0.82  % (26146)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.60/0.82  % (26144)Refutation not found, incomplete strategy% (26144)------------------------------
% 0.60/0.82  % (26144)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82  % (26144)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  
% 0.60/0.82  % (26144)Memory used [KB]: 1087
% 0.60/0.82  % (26147)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.60/0.82  % (26144)Time elapsed: 0.002 s
% 0.60/0.82  % (26144)Instructions burned: 2 (million)
% 0.60/0.82  % (26144)------------------------------
% 0.60/0.82  % (26144)------------------------------
% 0.60/0.82  % (26146)Refutation not found, incomplete strategy% (26146)------------------------------
% 0.60/0.82  % (26146)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82  % (26146)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  
% 0.60/0.82  % (26146)Memory used [KB]: 1124
% 0.60/0.82  % (26146)Time elapsed: 0.003 s
% 0.60/0.82  % (26146)Instructions burned: 3 (million)
% 0.60/0.82  % (26146)------------------------------
% 0.60/0.82  % (26146)------------------------------
% 0.60/0.82  % (26148)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.60/0.83  % (26149)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.60/0.83  % (26150)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.60/0.83  % (26149)Refutation not found, incomplete strategy% (26149)------------------------------
% 0.60/0.83  % (26149)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.83  % (26149)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.83  
% 0.60/0.83  % (26149)Memory used [KB]: 1174
% 0.60/0.83  % (26149)Time elapsed: 0.005 s
% 0.60/0.83  % (26149)Instructions burned: 7 (million)
% 0.60/0.83  % (26149)------------------------------
% 0.60/0.83  % (26149)------------------------------
% 0.60/0.83  % (26137)First to succeed.
% 0.60/0.83  % (26137)Refutation found. Thanks to Tanya!
% 0.60/0.83  % SZS status Unsatisfiable for Vampire---4
% 0.60/0.83  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.83  % (26137)------------------------------
% 0.60/0.83  % (26137)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.83  % (26137)Termination reason: Refutation
% 0.60/0.83  
% 0.60/0.83  % (26137)Memory used [KB]: 1389
% 0.60/0.83  % (26137)Time elapsed: 0.017 s
% 0.60/0.83  % (26137)Instructions burned: 28 (million)
% 0.60/0.83  % (26137)------------------------------
% 0.60/0.83  % (26137)------------------------------
% 0.60/0.83  % (26134)Success in time 0.499 s
% 0.60/0.83  % Vampire---4.8 exiting
%------------------------------------------------------------------------------