TSTP Solution File: SET013-4 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET013-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% 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 : 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 09:02:46 EDT 2024

% Result   : Unsatisfiable 0.68s 0.81s
% Output   : Refutation 0.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   42 (   5 unt;   0 def)
%            Number of atoms       :   98 (  15 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   95 (  39   ~;  52   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   5 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   22 (  22   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f899,plain,
    $false,
    inference(avatar_sat_refutation,[],[f210,f255,f840,f883,f887,f898]) ).

fof(f898,plain,
    ( ~ spl0_16
    | spl0_43
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f894,f194,f837,f189]) ).

fof(f189,plain,
    ( spl0_16
  <=> member(f1(ds,cs),ds) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f837,plain,
    ( spl0_43
  <=> cs = ds ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f194,plain,
    ( spl0_17
  <=> member(f1(ds,cs),cs) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f894,plain,
    ( cs = ds
    | ~ member(f1(ds,cs),ds)
    | ~ spl0_17 ),
    inference(resolution,[],[f196,f4]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( ~ member(f1(X0,X1),X1)
      | X0 = X1
      | ~ member(f1(X0,X1),X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.uNUiL20kKV/Vampire---4.8_21564',extensionality3) ).

fof(f196,plain,
    ( member(f1(ds,cs),cs)
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f194]) ).

fof(f887,plain,
    ( spl0_43
    | spl0_16
    | spl0_15 ),
    inference(avatar_split_clause,[],[f886,f185,f189,f837]) ).

fof(f185,plain,
    ( spl0_15
  <=> member(f1(ds,cs),as) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f886,plain,
    ( member(f1(ds,cs),ds)
    | cs = ds
    | spl0_15 ),
    inference(resolution,[],[f187,f31]) ).

fof(f31,plain,
    ! [X0] :
      ( member(f1(X0,cs),as)
      | member(f1(X0,cs),X0)
      | cs = X0 ),
    inference(resolution,[],[f3,f14]) ).

fof(f14,plain,
    ! [X0] :
      ( ~ member(X0,cs)
      | member(X0,as) ),
    inference(superposition,[],[f5,f10]) ).

fof(f10,axiom,
    intersection(as,bs) = cs,
    file('/export/starexec/sandbox2/tmp/tmp.uNUiL20kKV/Vampire---4.8_21564',intersection_of_a_and_b_is_c) ).

fof(f5,axiom,
    ! [X2,X0,X1] :
      ( ~ member(X2,intersection(X0,X1))
      | member(X2,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.uNUiL20kKV/Vampire---4.8_21564',intersection1) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( member(f1(X0,X1),X1)
      | X0 = X1
      | member(f1(X0,X1),X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.uNUiL20kKV/Vampire---4.8_21564',extensionality2) ).

fof(f187,plain,
    ( ~ member(f1(ds,cs),as)
    | spl0_15 ),
    inference(avatar_component_clause,[],[f185]) ).

fof(f883,plain,
    ~ spl0_43,
    inference(avatar_contradiction_clause,[],[f882]) ).

fof(f882,plain,
    ( $false
    | ~ spl0_43 ),
    inference(trivial_inequality_removal,[],[f841]) ).

fof(f841,plain,
    ( cs != cs
    | ~ spl0_43 ),
    inference(superposition,[],[f12,f839]) ).

fof(f839,plain,
    ( cs = ds
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f837]) ).

fof(f12,axiom,
    cs != ds,
    file('/export/starexec/sandbox2/tmp/tmp.uNUiL20kKV/Vampire---4.8_21564',prove_c_equals_d) ).

fof(f840,plain,
    ( spl0_16
    | spl0_43
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f834,f185,f837,f189]) ).

fof(f834,plain,
    ( cs = ds
    | member(f1(ds,cs),ds)
    | ~ spl0_15 ),
    inference(duplicate_literal_removal,[],[f833]) ).

fof(f833,plain,
    ( cs = ds
    | member(f1(ds,cs),ds)
    | member(f1(ds,cs),ds)
    | ~ spl0_15 ),
    inference(resolution,[],[f329,f186]) ).

fof(f186,plain,
    ( member(f1(ds,cs),as)
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f185]) ).

fof(f329,plain,
    ! [X0] :
      ( ~ member(f1(X0,cs),as)
      | cs = X0
      | member(f1(X0,cs),ds)
      | member(f1(X0,cs),X0) ),
    inference(resolution,[],[f30,f22]) ).

fof(f22,plain,
    ! [X0] :
      ( ~ member(X0,bs)
      | member(X0,ds)
      | ~ member(X0,as) ),
    inference(superposition,[],[f7,f11]) ).

fof(f11,axiom,
    intersection(bs,as) = ds,
    file('/export/starexec/sandbox2/tmp/tmp.uNUiL20kKV/Vampire---4.8_21564',intersection_of_b_and_a_is_d) ).

fof(f7,axiom,
    ! [X2,X0,X1] :
      ( member(X2,intersection(X0,X1))
      | ~ member(X2,X0)
      | ~ member(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.uNUiL20kKV/Vampire---4.8_21564',intersection3) ).

fof(f30,plain,
    ! [X0] :
      ( member(f1(X0,cs),bs)
      | member(f1(X0,cs),X0)
      | cs = X0 ),
    inference(resolution,[],[f3,f16]) ).

fof(f16,plain,
    ! [X0] :
      ( ~ member(X0,cs)
      | member(X0,bs) ),
    inference(superposition,[],[f6,f10]) ).

fof(f6,axiom,
    ! [X2,X0,X1] :
      ( ~ member(X2,intersection(X0,X1))
      | member(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.uNUiL20kKV/Vampire---4.8_21564',intersection2) ).

fof(f255,plain,
    ( spl0_17
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f253,f189,f185,f194]) ).

fof(f253,plain,
    ( ~ member(f1(ds,cs),as)
    | member(f1(ds,cs),cs)
    | ~ spl0_16 ),
    inference(resolution,[],[f203,f21]) ).

fof(f21,plain,
    ! [X0] :
      ( ~ member(X0,bs)
      | ~ member(X0,as)
      | member(X0,cs) ),
    inference(superposition,[],[f7,f10]) ).

fof(f203,plain,
    ( member(f1(ds,cs),bs)
    | ~ spl0_16 ),
    inference(resolution,[],[f191,f15]) ).

fof(f15,plain,
    ! [X0] :
      ( ~ member(X0,ds)
      | member(X0,bs) ),
    inference(superposition,[],[f5,f11]) ).

fof(f191,plain,
    ( member(f1(ds,cs),ds)
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f189]) ).

fof(f210,plain,
    ( spl0_15
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f202,f189,f185]) ).

fof(f202,plain,
    ( member(f1(ds,cs),as)
    | ~ spl0_16 ),
    inference(resolution,[],[f191,f17]) ).

fof(f17,plain,
    ! [X0] :
      ( ~ member(X0,ds)
      | member(X0,as) ),
    inference(superposition,[],[f6,f11]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : SET013-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.06/0.12  % 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
% 0.12/0.33  % Computer : n021.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Fri May  3 16:32:38 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.12/0.33  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.12/0.33  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.uNUiL20kKV/Vampire---4.8_21564
% 0.61/0.79  % (21675)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)
% 0.61/0.79  % (21672)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)
% 0.61/0.79  % (21674)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.79  % (21673)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)
% 0.61/0.79  % (21677)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)
% 0.61/0.79  % (21676)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)
% 0.61/0.79  % (21678)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)
% 0.61/0.79  % (21680)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)
% 0.61/0.79  % (21677)Refutation not found, incomplete strategy% (21677)------------------------------
% 0.61/0.79  % (21677)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (21675)Refutation not found, incomplete strategy% (21675)------------------------------
% 0.61/0.79  % (21675)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (21675)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (21675)Memory used [KB]: 964
% 0.61/0.79  % (21675)Time elapsed: 0.002 s
% 0.61/0.79  % (21675)Instructions burned: 2 (million)
% 0.61/0.79  % (21677)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (21677)Memory used [KB]: 951
% 0.61/0.79  % (21677)Time elapsed: 0.002 s
% 0.61/0.79  % (21677)Instructions burned: 2 (million)
% 0.61/0.79  % (21676)Refutation not found, incomplete strategy% (21676)------------------------------
% 0.61/0.79  % (21676)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (21675)------------------------------
% 0.61/0.79  % (21675)------------------------------
% 0.61/0.79  % (21676)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (21676)Memory used [KB]: 969
% 0.61/0.79  % (21676)Time elapsed: 0.002 s
% 0.61/0.79  % (21677)------------------------------
% 0.61/0.79  % (21677)------------------------------
% 0.61/0.79  % (21676)Instructions burned: 2 (million)
% 0.61/0.79  % (21678)Refutation not found, incomplete strategy% (21678)------------------------------
% 0.61/0.79  % (21678)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (21678)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  % (21680)Refutation not found, incomplete strategy% (21680)------------------------------
% 0.61/0.79  % (21680)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (21680)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (21680)Memory used [KB]: 951
% 0.61/0.79  % (21680)Time elapsed: 0.002 s
% 0.61/0.79  % (21680)Instructions burned: 2 (million)
% 0.61/0.79  
% 0.61/0.79  % (21678)Memory used [KB]: 954
% 0.61/0.79  % (21678)Time elapsed: 0.003 s
% 0.61/0.79  % (21678)Instructions burned: 2 (million)
% 0.61/0.79  % (21676)------------------------------
% 0.61/0.79  % (21676)------------------------------
% 0.61/0.79  % (21680)------------------------------
% 0.61/0.79  % (21680)------------------------------
% 0.61/0.79  % (21678)------------------------------
% 0.61/0.79  % (21678)------------------------------
% 0.61/0.79  % (21672)Refutation not found, incomplete strategy% (21672)------------------------------
% 0.61/0.79  % (21672)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (21672)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (21672)Memory used [KB]: 1054
% 0.61/0.79  % (21672)Time elapsed: 0.006 s
% 0.61/0.79  % (21672)Instructions burned: 9 (million)
% 0.61/0.79  % (21683)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)
% 0.61/0.79  % (21681)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)
% 0.61/0.79  % (21682)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)
% 0.61/0.79  % (21672)------------------------------
% 0.61/0.79  % (21672)------------------------------
% 0.61/0.79  % (21684)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)
% 0.61/0.79  % (21685)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)
% 0.61/0.79  % (21682)Refutation not found, incomplete strategy% (21682)------------------------------
% 0.61/0.79  % (21682)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (21682)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (21682)Memory used [KB]: 952
% 0.61/0.79  % (21682)Time elapsed: 0.002 s
% 0.61/0.79  % (21682)Instructions burned: 2 (million)
% 0.61/0.79  % (21682)------------------------------
% 0.61/0.79  % (21682)------------------------------
% 0.61/0.79  % (21685)Refutation not found, incomplete strategy% (21685)------------------------------
% 0.61/0.79  % (21685)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (21685)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (21685)Memory used [KB]: 952
% 0.61/0.79  % (21685)Time elapsed: 0.002 s
% 0.61/0.79  % (21685)Instructions burned: 2 (million)
% 0.61/0.79  % (21685)------------------------------
% 0.61/0.79  % (21685)------------------------------
% 0.61/0.80  % (21686)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)
% 0.61/0.80  % (21686)Refutation not found, incomplete strategy% (21686)------------------------------
% 0.61/0.80  % (21686)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.80  % (21686)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80  
% 0.61/0.80  % (21687)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)
% 0.61/0.80  % (21686)Memory used [KB]: 965
% 0.61/0.80  % (21686)Time elapsed: 0.002 s
% 0.61/0.80  % (21686)Instructions burned: 2 (million)
% 0.61/0.80  % (21686)------------------------------
% 0.61/0.80  % (21686)------------------------------
% 0.61/0.80  % (21688)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.61/0.80  % (21688)Refutation not found, incomplete strategy% (21688)------------------------------
% 0.61/0.80  % (21688)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.80  % (21688)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80  
% 0.61/0.80  % (21688)Memory used [KB]: 969
% 0.61/0.80  % (21688)Time elapsed: 0.002 s
% 0.61/0.80  % (21688)Instructions burned: 3 (million)
% 0.61/0.80  % (21688)------------------------------
% 0.61/0.80  % (21688)------------------------------
% 0.61/0.80  % (21689)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 Vampire---4 for (2995ds/143Mi)
% 0.68/0.80  % (21690)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 Vampire---4 for (2995ds/93Mi)
% 0.68/0.81  % (21673)First to succeed.
% 0.68/0.81  % (21673)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-21671"
% 0.68/0.81  % (21673)Refutation found. Thanks to Tanya!
% 0.68/0.81  % SZS status Unsatisfiable for Vampire---4
% 0.68/0.81  % SZS output start Proof for Vampire---4
% See solution above
% 0.68/0.81  % (21673)------------------------------
% 0.68/0.81  % (21673)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.81  % (21673)Termination reason: Refutation
% 0.68/0.81  
% 0.68/0.81  % (21673)Memory used [KB]: 1242
% 0.68/0.81  % (21673)Time elapsed: 0.019 s
% 0.68/0.81  % (21673)Instructions burned: 31 (million)
% 0.68/0.81  % (21671)Success in time 0.468 s
% 0.68/0.81  % Vampire---4.8 exiting
%------------------------------------------------------------------------------