TSTP Solution File: SET064-6 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET064-6 : TPTP v8.2.0. 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 : n026.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 : Tue May 21 03:08:26 EDT 2024

% Result   : Unsatisfiable 0.65s 0.88s
% Output   : Refutation 0.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   24 (   5 unt;   0 def)
%            Number of atoms       :   47 (   7 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   36 (  13   ~;  21   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   13 (  13   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f390,plain,
    $false,
    inference(avatar_sat_refutation,[],[f382,f384,f389]) ).

fof(f389,plain,
    spl0_5,
    inference(avatar_contradiction_clause,[],[f388]) ).

fof(f388,plain,
    ( $false
    | spl0_5 ),
    inference(subsumption_resolution,[],[f93,f385]) ).

fof(f385,plain,
    ( member(not_subclass_element(z,null_class),z)
    | spl0_5 ),
    inference(resolution,[],[f217,f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( subclass(X0,X1)
      | member(not_subclass_element(X0,X1),X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members1) ).

fof(f217,plain,
    ( ~ subclass(z,null_class)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f216]) ).

fof(f216,plain,
    ( spl0_5
  <=> subclass(z,null_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f93,axiom,
    ~ member(not_subclass_element(z,null_class),z),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_null_class_is_unique_2) ).

fof(f384,plain,
    ( ~ spl0_4
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f340,f216,f213]) ).

fof(f213,plain,
    ( spl0_4
  <=> subclass(null_class,z) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f340,plain,
    ( ~ subclass(z,null_class)
    | ~ subclass(null_class,z) ),
    inference(extensionality_resolution,[],[f7,f92]) ).

fof(f92,axiom,
    null_class != z,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_null_class_is_unique_1) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( ~ subclass(X1,X0)
      | X0 = X1
      | ~ subclass(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_implies_equal) ).

fof(f382,plain,
    spl0_4,
    inference(avatar_contradiction_clause,[],[f381]) ).

fof(f381,plain,
    ( $false
    | spl0_4 ),
    inference(subsumption_resolution,[],[f380,f214]) ).

fof(f214,plain,
    ( ~ subclass(null_class,z)
    | spl0_4 ),
    inference(avatar_component_clause,[],[f213]) ).

fof(f380,plain,
    ( subclass(null_class,z)
    | spl0_4 ),
    inference(subsumption_resolution,[],[f373,f92]) ).

fof(f373,plain,
    ( null_class = z
    | subclass(null_class,z)
    | spl0_4 ),
    inference(resolution,[],[f370,f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( ~ member(not_subclass_element(X0,X1),X1)
      | subclass(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members2) ).

fof(f370,plain,
    ( ! [X0] :
        ( member(not_subclass_element(null_class,z),X0)
        | null_class = X0 )
    | spl0_4 ),
    inference(resolution,[],[f241,f234]) ).

fof(f234,plain,
    ( member(not_subclass_element(null_class,z),null_class)
    | spl0_4 ),
    inference(resolution,[],[f214,f2]) ).

fof(f241,plain,
    ! [X0,X1] :
      ( ~ member(X1,null_class)
      | member(X1,X0)
      | null_class = X0 ),
    inference(superposition,[],[f21,f67]) ).

fof(f67,axiom,
    ! [X0] :
      ( null_class = intersection(X0,regular(X0))
      | null_class = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity2) ).

fof(f21,axiom,
    ! [X0,X1,X4] :
      ( ~ member(X4,intersection(X0,X1))
      | member(X4,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SET064-6 : TPTP v8.2.0. Bugfixed v2.1.0.
% 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
% 0.14/0.37  % Computer : n026.cluster.edu
% 0.14/0.37  % Model    : x86_64 x86_64
% 0.14/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37  % Memory   : 8042.1875MB
% 0.14/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37  % CPULimit   : 300
% 0.14/0.37  % WCLimit    : 300
% 0.14/0.37  % DateTime   : Mon May 20 11:21:23 EDT 2024
% 0.14/0.37  % CPUTime    : 
% 0.14/0.37  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.14/0.37  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/benchmark/theBenchmark.p
% 0.63/0.82  % (7960)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.63/0.82  % (7957)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.63/0.82  % (7956)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 theBenchmark for (2995ds/51Mi)
% 0.63/0.82  % (7958)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.63/0.82  % (7959)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 theBenchmark for (2995ds/34Mi)
% 0.63/0.82  % (7958)Refutation not found, incomplete strategy% (7958)------------------------------
% 0.63/0.82  % (7958)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.82  % (7958)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.82  
% 0.63/0.82  % (7958)Memory used [KB]: 1061
% 0.63/0.82  % (7958)Time elapsed: 0.002 s
% 0.63/0.82  % (7958)Instructions burned: 2 (million)
% 0.63/0.82  % (7961)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 theBenchmark for (2995ds/83Mi)
% 0.63/0.82  % (7958)------------------------------
% 0.63/0.82  % (7958)------------------------------
% 0.63/0.82  % (7962)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2995ds/56Mi)
% 0.63/0.83  % (7963)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 theBenchmark for (2995ds/55Mi)
% 0.63/0.83  % (7963)Refutation not found, incomplete strategy% (7963)------------------------------
% 0.63/0.83  % (7963)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.83  % (7963)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.83  
% 0.63/0.83  % (7963)Memory used [KB]: 1061
% 0.63/0.83  % (7963)Time elapsed: 0.003 s
% 0.63/0.83  % (7963)Instructions burned: 2 (million)
% 0.63/0.83  % (7963)------------------------------
% 0.63/0.83  % (7963)------------------------------
% 0.65/0.83  % (7960)Instruction limit reached!
% 0.65/0.83  % (7960)------------------------------
% 0.65/0.83  % (7960)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.83  % (7960)Termination reason: Unknown
% 0.65/0.83  % (7960)Termination phase: Saturation
% 0.65/0.83  
% 0.65/0.83  % (7960)Memory used [KB]: 1199
% 0.65/0.83  % (7960)Time elapsed: 0.012 s
% 0.65/0.83  % (7960)Instructions burned: 49 (million)
% 0.65/0.83  % (7960)------------------------------
% 0.65/0.83  % (7960)------------------------------
% 0.65/0.83  % (7965)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2995ds/208Mi)
% 0.65/0.83  % (7955)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 theBenchmark for (2995ds/34Mi)
% 0.65/0.84  % (7959)Instruction limit reached!
% 0.65/0.84  % (7959)------------------------------
% 0.65/0.84  % (7959)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.84  % (7959)Termination reason: Unknown
% 0.65/0.84  % (7959)Termination phase: Saturation
% 0.65/0.84  
% 0.65/0.84  % (7959)Memory used [KB]: 1414
% 0.65/0.84  % (7959)Time elapsed: 0.021 s
% 0.65/0.84  % (7959)Instructions burned: 35 (million)
% 0.65/0.84  % (7959)------------------------------
% 0.65/0.84  % (7959)------------------------------
% 0.65/0.85  % (7964)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 theBenchmark for (2995ds/50Mi)
% 0.65/0.85  % (7955)Instruction limit reached!
% 0.65/0.85  % (7955)------------------------------
% 0.65/0.85  % (7955)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.85  % (7955)Termination reason: Unknown
% 0.65/0.85  % (7955)Termination phase: Saturation
% 0.65/0.85  
% 0.65/0.85  % (7955)Memory used [KB]: 1162
% 0.65/0.85  % (7955)Time elapsed: 0.041 s
% 0.65/0.85  % (7955)Instructions burned: 34 (million)
% 0.65/0.85  % (7955)------------------------------
% 0.65/0.85  % (7955)------------------------------
% 0.65/0.85  % (7962)Instruction limit reached!
% 0.65/0.85  % (7962)------------------------------
% 0.65/0.85  % (7962)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.85  % (7962)Termination reason: Unknown
% 0.65/0.85  % (7962)Termination phase: Saturation
% 0.65/0.85  
% 0.65/0.85  % (7962)Memory used [KB]: 1224
% 0.65/0.85  % (7962)Time elapsed: 0.031 s
% 0.65/0.85  % (7962)Instructions burned: 56 (million)
% 0.65/0.85  % (7962)------------------------------
% 0.65/0.85  % (7962)------------------------------
% 0.65/0.85  % (7967)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 theBenchmark for (2995ds/518Mi)
% 0.65/0.86  % (7956)Instruction limit reached!
% 0.65/0.86  % (7956)------------------------------
% 0.65/0.86  % (7956)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.86  % (7956)Termination reason: Unknown
% 0.65/0.86  % (7956)Termination phase: Saturation
% 0.65/0.86  
% 0.65/0.86  % (7956)Memory used [KB]: 1555
% 0.65/0.86  % (7956)Time elapsed: 0.035 s
% 0.65/0.86  % (7956)Instructions burned: 51 (million)
% 0.65/0.86  % (7956)------------------------------
% 0.65/0.86  % (7956)------------------------------
% 0.65/0.86  % (7966)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 theBenchmark for (2995ds/52Mi)
% 0.65/0.86  % (7969)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 theBenchmark for (2995ds/243Mi)
% 0.65/0.87  % (7961)Instruction limit reached!
% 0.65/0.87  % (7961)------------------------------
% 0.65/0.87  % (7961)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.87  % (7961)Termination reason: Unknown
% 0.65/0.87  % (7961)Termination phase: Saturation
% 0.65/0.87  
% 0.65/0.87  % (7961)Memory used [KB]: 1938
% 0.65/0.87  % (7961)Time elapsed: 0.045 s
% 0.65/0.87  % (7961)Instructions burned: 84 (million)
% 0.65/0.87  % (7961)------------------------------
% 0.65/0.87  % (7961)------------------------------
% 0.65/0.87  % (7965)Instruction limit reached!
% 0.65/0.87  % (7965)------------------------------
% 0.65/0.87  % (7965)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.87  % (7965)Termination reason: Unknown
% 0.65/0.87  % (7965)Termination phase: Saturation
% 0.65/0.87  
% 0.65/0.87  % (7965)Memory used [KB]: 1194
% 0.65/0.87  % (7965)Time elapsed: 0.040 s
% 0.65/0.87  % (7965)Instructions burned: 213 (million)
% 0.65/0.87  % (7965)------------------------------
% 0.65/0.87  % (7965)------------------------------
% 0.65/0.87  % (7957)Instruction limit reached!
% 0.65/0.87  % (7957)------------------------------
% 0.65/0.87  % (7957)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.87  % (7957)Termination reason: Unknown
% 0.65/0.87  % (7957)Termination phase: Saturation
% 0.65/0.87  
% 0.65/0.87  % (7957)Memory used [KB]: 1964
% 0.65/0.87  % (7957)Time elapsed: 0.053 s
% 0.65/0.87  % (7957)Instructions burned: 78 (million)
% 0.65/0.87  % (7957)------------------------------
% 0.65/0.87  % (7957)------------------------------
% 0.65/0.87  % (7970)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2995ds/117Mi)
% 0.65/0.87  % (7968)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 theBenchmark for (2995ds/42Mi)
% 0.65/0.88  % (7971)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on theBenchmark for (2995ds/143Mi)
% 0.65/0.88  % (7972)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on theBenchmark for (2995ds/93Mi)
% 0.65/0.88  % (7966)First to succeed.
% 0.65/0.88  % (7966)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-7954"
% 0.65/0.88  % (7966)Refutation found. Thanks to Tanya!
% 0.65/0.88  % SZS status Unsatisfiable for theBenchmark
% 0.65/0.88  % SZS output start Proof for theBenchmark
% See solution above
% 0.65/0.88  % (7966)------------------------------
% 0.65/0.88  % (7966)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.88  % (7966)Termination reason: Refutation
% 0.65/0.88  
% 0.65/0.88  % (7966)Memory used [KB]: 1332
% 0.65/0.88  % (7966)Time elapsed: 0.053 s
% 0.65/0.88  % (7966)Instructions burned: 41 (million)
% 0.65/0.88  % (7954)Success in time 0.49 s
% 0.65/0.88  % Vampire---4.8 exiting
%------------------------------------------------------------------------------