TSTP Solution File: SYN209-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN209-1 : TPTP v8.1.2. Released v1.1.0.
% 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 : n012.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 04:33:36 EDT 2024

% Result   : Unsatisfiable 0.59s 0.77s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   28 (   4 unt;   0 def)
%            Number of atoms       :   56 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   63 (  35   ~;  24   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   11 (  10 usr;   5 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   34 (  34   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1010,plain,
    $false,
    inference(avatar_sat_refutation,[],[f952,f958,f981,f986,f1009]) ).

fof(f1009,plain,
    ( spl0_122
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1007,f975,f947]) ).

fof(f947,plain,
    ( spl0_122
  <=> ! [X2] : ~ n0(X2,b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f975,plain,
    ( spl0_124
  <=> ! [X0,X1] : ~ q2(X0,X1,b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f1007,plain,
    ( ! [X0] : ~ n0(X0,b)
    | ~ spl0_124 ),
    inference(resolution,[],[f993,f40]) ).

fof(f40,axiom,
    ! [X4,X5] :
      ( l1(X4,X4)
      | ~ n0(X5,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.DjDyaFLOwg/Vampire---4.8_27165',rule_002) ).

fof(f993,plain,
    ( ! [X0] : ~ l1(b,X0)
    | ~ spl0_124 ),
    inference(resolution,[],[f976,f224]) ).

fof(f224,axiom,
    ! [X4,X5] :
      ( q2(X4,X4,X5)
      | ~ l1(X5,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.DjDyaFLOwg/Vampire---4.8_27165',rule_186) ).

fof(f976,plain,
    ( ! [X0,X1] : ~ q2(X0,X1,b)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f975]) ).

fof(f986,plain,
    ( spl0_122
    | spl0_125 ),
    inference(avatar_split_clause,[],[f985,f978,f947]) ).

fof(f978,plain,
    ( spl0_125
  <=> k1(b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f985,plain,
    ( ! [X0] : ~ n0(X0,b)
    | spl0_125 ),
    inference(resolution,[],[f980,f39]) ).

fof(f39,axiom,
    ! [X2,X3] :
      ( k1(X2)
      | ~ n0(X3,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.DjDyaFLOwg/Vampire---4.8_27165',rule_001) ).

fof(f980,plain,
    ( ~ k1(b)
    | spl0_125 ),
    inference(avatar_component_clause,[],[f978]) ).

fof(f981,plain,
    ( spl0_124
    | ~ spl0_125
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f973,f950,f978,f975]) ).

fof(f950,plain,
    ( spl0_123
  <=> ! [X0,X1] : ~ p3(X0,b,X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f973,plain,
    ( ! [X0,X1] :
        ( ~ k1(b)
        | ~ q2(X0,X1,b) )
    | ~ spl0_123 ),
    inference(resolution,[],[f288,f951]) ).

fof(f951,plain,
    ( ! [X0,X1] : ~ p3(X0,b,X1)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f950]) ).

fof(f288,axiom,
    ! [X8,X9,X4] :
      ( p3(X8,X8,X8)
      | ~ k1(X8)
      | ~ q2(X9,X4,X8) ),
    file('/export/starexec/sandbox/tmp/tmp.DjDyaFLOwg/Vampire---4.8_27165',rule_250) ).

fof(f958,plain,
    ~ spl0_122,
    inference(avatar_contradiction_clause,[],[f953]) ).

fof(f953,plain,
    ( $false
    | ~ spl0_122 ),
    inference(resolution,[],[f948,f7]) ).

fof(f7,axiom,
    n0(d,b),
    file('/export/starexec/sandbox/tmp/tmp.DjDyaFLOwg/Vampire---4.8_27165',axiom_7) ).

fof(f948,plain,
    ( ! [X2] : ~ n0(X2,b)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f947]) ).

fof(f952,plain,
    ( spl0_122
    | spl0_123 ),
    inference(avatar_split_clause,[],[f945,f950,f947]) ).

fof(f945,plain,
    ! [X2,X0,X1] :
      ( ~ p3(X0,b,X1)
      | ~ n0(X2,b) ),
    inference(resolution,[],[f944,f40]) ).

fof(f944,plain,
    ! [X2,X0,X1] :
      ( ~ l1(b,X1)
      | ~ p3(X0,X1,X2) ),
    inference(resolution,[],[f337,f369]) ).

fof(f369,axiom,
    ~ s4(b),
    file('/export/starexec/sandbox/tmp/tmp.DjDyaFLOwg/Vampire---4.8_27165',prove_this) ).

fof(f337,axiom,
    ! [X10,X11,X6,X7] :
      ( s4(X10)
      | ~ p3(X11,X6,X7)
      | ~ l1(X10,X6) ),
    file('/export/starexec/sandbox/tmp/tmp.DjDyaFLOwg/Vampire---4.8_27165',rule_299) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SYN209-1 : TPTP v8.1.2. Released v1.1.0.
% 0.14/0.15  % 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
% 0.14/0.36  % Computer : n012.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Apr 30 17:18:56 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a CNF_UNS_EPR_NEQ_HRN problem
% 0.21/0.36  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.DjDyaFLOwg/Vampire---4.8_27165
% 0.57/0.76  % (27457)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)
% 0.57/0.76  % (27451)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)
% 0.57/0.76  % (27452)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)
% 0.57/0.76  % (27453)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.76  % (27454)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)
% 0.57/0.76  % (27455)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 (2996ds/34Mi)
% 0.57/0.76  % (27456)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.57/0.76  % (27454)Refutation not found, incomplete strategy% (27454)------------------------------
% 0.57/0.76  % (27454)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.76  % (27454)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (27454)Memory used [KB]: 1272
% 0.57/0.76  % (27454)Time elapsed: 0.003 s
% 0.57/0.76  % (27454)Instructions burned: 3 (million)
% 0.57/0.76  % (27454)------------------------------
% 0.57/0.76  % (27454)------------------------------
% 0.59/0.76  % (27451)Refutation not found, incomplete strategy% (27451)------------------------------
% 0.59/0.76  % (27451)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.76  % (27451)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76  
% 0.59/0.76  % (27451)Memory used [KB]: 1289
% 0.59/0.76  % (27451)Time elapsed: 0.004 s
% 0.59/0.76  % (27451)Instructions burned: 4 (million)
% 0.59/0.76  % (27451)------------------------------
% 0.59/0.76  % (27451)------------------------------
% 0.59/0.76  % (27456)Refutation not found, incomplete strategy% (27456)------------------------------
% 0.59/0.76  % (27456)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.76  % (27456)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76  
% 0.59/0.76  % (27456)Memory used [KB]: 1273
% 0.59/0.76  % (27456)Time elapsed: 0.004 s
% 0.59/0.76  % (27456)Instructions burned: 6 (million)
% 0.59/0.76  % (27456)------------------------------
% 0.59/0.76  % (27456)------------------------------
% 0.59/0.76  % (27457)Refutation not found, incomplete strategy% (27457)------------------------------
% 0.59/0.76  % (27457)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.76  % (27457)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76  
% 0.59/0.76  % (27457)Memory used [KB]: 1556
% 0.59/0.76  % (27457)Time elapsed: 0.007 s
% 0.59/0.76  % (27457)Instructions burned: 20 (million)
% 0.59/0.76  % (27457)------------------------------
% 0.59/0.76  % (27457)------------------------------
% 0.59/0.76  % (27455)Refutation not found, incomplete strategy% (27455)------------------------------
% 0.59/0.76  % (27455)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.76  % (27455)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76  
% 0.59/0.76  % (27455)Memory used [KB]: 1421
% 0.59/0.76  % (27455)Time elapsed: 0.007 s
% 0.59/0.76  % (27455)Instructions burned: 10 (million)
% 0.59/0.77  % (27455)------------------------------
% 0.59/0.77  % (27455)------------------------------
% 0.59/0.77  % (27458)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)
% 0.59/0.77  % (27460)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)
% 0.59/0.77  % (27458)Refutation not found, incomplete strategy% (27458)------------------------------
% 0.59/0.77  % (27458)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.77  % (27458)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.77  
% 0.59/0.77  % (27458)Memory used [KB]: 1272
% 0.59/0.77  % (27458)Time elapsed: 0.003 s
% 0.59/0.77  % (27458)Instructions burned: 3 (million)
% 0.59/0.77  % (27458)------------------------------
% 0.59/0.77  % (27458)------------------------------
% 0.59/0.77  % (27459)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)
% 0.59/0.77  % (27461)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 (2996ds/208Mi)
% 0.59/0.77  % (27461)Refutation not found, incomplete strategy% (27461)------------------------------
% 0.59/0.77  % (27461)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.77  % (27461)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.77  
% 0.59/0.77  % (27461)Memory used [KB]: 1272
% 0.59/0.77  % (27461)Time elapsed: 0.001 s
% 0.59/0.77  % (27461)Instructions burned: 3 (million)
% 0.59/0.77  % (27461)------------------------------
% 0.59/0.77  % (27461)------------------------------
% 0.59/0.77  % (27459)Refutation not found, incomplete strategy% (27459)------------------------------
% 0.59/0.77  % (27459)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.77  % (27459)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.77  
% 0.59/0.77  % (27459)Memory used [KB]: 1271
% 0.59/0.77  % (27459)Time elapsed: 0.003 s
% 0.59/0.77  % (27459)Instructions burned: 3 (million)
% 0.59/0.77  % (27459)------------------------------
% 0.59/0.77  % (27459)------------------------------
% 0.59/0.77  % (27462)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 (2996ds/52Mi)
% 0.59/0.77  % (27453)First to succeed.
% 0.59/0.77  % (27463)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 (2996ds/518Mi)
% 0.59/0.77  % (27465)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 (2996ds/243Mi)
% 0.59/0.77  % (27453)Refutation found. Thanks to Tanya!
% 0.59/0.77  % SZS status Unsatisfiable for Vampire---4
% 0.59/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.77  % (27453)------------------------------
% 0.59/0.77  % (27453)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.77  % (27453)Termination reason: Refutation
% 0.59/0.77  
% 0.59/0.77  % (27453)Memory used [KB]: 1561
% 0.59/0.77  % (27453)Time elapsed: 0.012 s
% 0.59/0.77  % (27453)Instructions burned: 17 (million)
% 0.59/0.77  % (27453)------------------------------
% 0.59/0.77  % (27453)------------------------------
% 0.59/0.77  % (27417)Success in time 0.397 s
% 0.59/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------