TSTP Solution File: SYN212-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN212-1 : 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 : n027.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 11:56:26 EDT 2024

% Result   : Unsatisfiable 0.63s 0.76s
% Output   : Refutation 0.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   38 (   8 unt;   0 def)
%            Number of atoms       :   75 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   78 (  41   ~;  30   |;   0   &)
%                                         (   7 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   17 (  16 usr;   8 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   31 (  31   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f992,plain,
    $false,
    inference(avatar_sat_refutation,[],[f615,f814,f855,f952,f956,f971,f976,f987]) ).

fof(f987,plain,
    ( ~ spl0_106
    | ~ spl0_124 ),
    inference(avatar_contradiction_clause,[],[f986]) ).

fof(f986,plain,
    ( $false
    | ~ spl0_106
    | ~ spl0_124 ),
    inference(subsumption_resolution,[],[f981,f809]) ).

fof(f809,plain,
    ( p1(e,e,e)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f807]) ).

fof(f807,plain,
    ( spl0_106
  <=> p1(e,e,e) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f981,plain,
    ( ~ p1(e,e,e)
    | ~ spl0_124 ),
    inference(resolution,[],[f966,f219]) ).

fof(f219,axiom,
    ! [X2] :
      ( q2(X2,X2,X2)
      | ~ p1(X2,X2,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.vsbVIarqFR/Vampire---4.8_9033',rule_181) ).

fof(f966,plain,
    ( ! [X0,X1] : ~ q2(X0,X1,e)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f965]) ).

fof(f965,plain,
    ( spl0_124
  <=> ! [X0,X1] : ~ q2(X0,X1,e) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f976,plain,
    ( spl0_122
    | spl0_125 ),
    inference(avatar_split_clause,[],[f975,f968,f947]) ).

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

fof(f968,plain,
    ( spl0_125
  <=> k1(e) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f975,plain,
    ( ! [X0] : ~ n0(X0,e)
    | spl0_125 ),
    inference(resolution,[],[f970,f39]) ).

fof(f39,axiom,
    ! [X2,X3] :
      ( k1(X2)
      | ~ n0(X3,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.vsbVIarqFR/Vampire---4.8_9033',rule_001) ).

fof(f970,plain,
    ( ~ k1(e)
    | spl0_125 ),
    inference(avatar_component_clause,[],[f968]) ).

fof(f971,plain,
    ( spl0_124
    | ~ spl0_125
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f963,f950,f968,f965]) ).

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

fof(f963,plain,
    ( ! [X0,X1] :
        ( ~ k1(e)
        | ~ q2(X0,X1,e) )
    | ~ spl0_123 ),
    inference(resolution,[],[f288,f951]) ).

fof(f951,plain,
    ( ! [X0,X1] : ~ p3(X0,e,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.vsbVIarqFR/Vampire---4.8_9033',rule_250) ).

fof(f956,plain,
    ~ spl0_122,
    inference(avatar_contradiction_clause,[],[f953]) ).

fof(f953,plain,
    ( $false
    | ~ spl0_122 ),
    inference(resolution,[],[f948,f3]) ).

fof(f3,axiom,
    n0(d,e),
    file('/export/starexec/sandbox/tmp/tmp.vsbVIarqFR/Vampire---4.8_9033',axiom_3) ).

fof(f948,plain,
    ( ! [X2] : ~ n0(X2,e)
    | ~ 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,e,X1)
      | ~ n0(X2,e) ),
    inference(resolution,[],[f944,f40]) ).

fof(f40,axiom,
    ! [X4,X5] :
      ( l1(X4,X4)
      | ~ n0(X5,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.vsbVIarqFR/Vampire---4.8_9033',rule_002) ).

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

fof(f369,axiom,
    ~ s4(e),
    file('/export/starexec/sandbox/tmp/tmp.vsbVIarqFR/Vampire---4.8_9033',prove_this) ).

fof(f337,axiom,
    ! [X10,X11,X6,X7] :
      ( s4(X10)
      | ~ p3(X11,X6,X7)
      | ~ l1(X10,X6) ),
    file('/export/starexec/sandbox/tmp/tmp.vsbVIarqFR/Vampire---4.8_9033',rule_299) ).

fof(f855,plain,
    spl0_107,
    inference(avatar_split_clause,[],[f28,f811]) ).

fof(f811,plain,
    ( spl0_107
  <=> k0(e) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f28,axiom,
    k0(e),
    file('/export/starexec/sandbox/tmp/tmp.vsbVIarqFR/Vampire---4.8_9033',axiom_28) ).

fof(f814,plain,
    ( spl0_106
    | ~ spl0_50
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f128,f811,f575,f807]) ).

fof(f575,plain,
    ( spl0_50
  <=> r0(e) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f128,axiom,
    ( ~ k0(e)
    | ~ r0(e)
    | p1(e,e,e) ),
    file('/export/starexec/sandbox/tmp/tmp.vsbVIarqFR/Vampire---4.8_9033',rule_090) ).

fof(f615,plain,
    spl0_50,
    inference(avatar_split_clause,[],[f13,f575]) ).

fof(f13,axiom,
    r0(e),
    file('/export/starexec/sandbox/tmp/tmp.vsbVIarqFR/Vampire---4.8_9033',axiom_13) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SYN212-1 : TPTP v8.1.2. Released v1.1.0.
% 0.13/0.15  % 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
% 0.14/0.35  % Computer : n027.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % 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   : Fri May  3 17:44:08 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a CNF_UNS_EPR_NEQ_HRN problem
% 0.14/0.36  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.vsbVIarqFR/Vampire---4.8_9033
% 0.57/0.75  % (9148)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)
% 0.57/0.75  % (9142)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)
% 0.57/0.75  % (9145)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)
% 0.57/0.75  % (9144)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.75  % (9143)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)
% 0.57/0.75  % (9146)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)
% 0.57/0.75  % (9147)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)
% 0.57/0.75  % (9145)Refutation not found, incomplete strategy% (9145)------------------------------
% 0.57/0.75  % (9145)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (9145)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (9145)Memory used [KB]: 1272
% 0.57/0.75  % (9145)Time elapsed: 0.002 s
% 0.57/0.75  % (9145)Instructions burned: 3 (million)
% 0.57/0.75  % (9142)Refutation not found, incomplete strategy% (9142)------------------------------
% 0.57/0.75  % (9142)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (9142)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (9142)Memory used [KB]: 1276
% 0.57/0.75  % (9142)Time elapsed: 0.003 s
% 0.57/0.75  % (9142)Instructions burned: 3 (million)
% 0.57/0.75  % (9145)------------------------------
% 0.57/0.75  % (9145)------------------------------
% 0.57/0.75  % (9142)------------------------------
% 0.57/0.75  % (9142)------------------------------
% 0.57/0.75  % (9147)Refutation not found, incomplete strategy% (9147)------------------------------
% 0.57/0.75  % (9147)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (9147)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (9147)Memory used [KB]: 1273
% 0.57/0.75  % (9147)Time elapsed: 0.005 s
% 0.57/0.75  % (9147)Instructions burned: 6 (million)
% 0.57/0.75  % (9147)------------------------------
% 0.57/0.75  % (9147)------------------------------
% 0.57/0.75  % (9148)Refutation not found, incomplete strategy% (9148)------------------------------
% 0.57/0.75  % (9148)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (9148)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (9148)Memory used [KB]: 1556
% 0.57/0.75  % (9148)Time elapsed: 0.007 s
% 0.57/0.75  % (9148)Instructions burned: 20 (million)
% 0.57/0.75  % (9148)------------------------------
% 0.57/0.75  % (9148)------------------------------
% 0.57/0.76  % (9146)Refutation not found, incomplete strategy% (9146)------------------------------
% 0.57/0.76  % (9146)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (9146)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (9146)Memory used [KB]: 1421
% 0.57/0.76  % (9146)Time elapsed: 0.007 s
% 0.57/0.76  % (9146)Instructions burned: 10 (million)
% 0.57/0.76  % (9149)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)
% 0.57/0.76  % (9146)------------------------------
% 0.57/0.76  % (9146)------------------------------
% 0.57/0.76  % (9150)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)
% 0.57/0.76  % (9149)Refutation not found, incomplete strategy% (9149)------------------------------
% 0.57/0.76  % (9149)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (9149)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (9149)Memory used [KB]: 1273
% 0.57/0.76  % (9149)Time elapsed: 0.003 s
% 0.57/0.76  % (9149)Instructions burned: 3 (million)
% 0.57/0.76  % (9149)------------------------------
% 0.57/0.76  % (9149)------------------------------
% 0.57/0.76  % (9150)Refutation not found, incomplete strategy% (9150)------------------------------
% 0.57/0.76  % (9150)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (9150)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (9150)Memory used [KB]: 1272
% 0.57/0.76  % (9150)Time elapsed: 0.003 s
% 0.57/0.76  % (9150)Instructions burned: 3 (million)
% 0.57/0.76  % (9153)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)
% 0.63/0.76  % (9152)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)
% 0.63/0.76  % (9150)------------------------------
% 0.63/0.76  % (9150)------------------------------
% 0.63/0.76  % (9152)Refutation not found, incomplete strategy% (9152)------------------------------
% 0.63/0.76  % (9152)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.76  % (9152)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.76  
% 0.63/0.76  % (9152)Memory used [KB]: 1273
% 0.63/0.76  % (9152)Time elapsed: 0.004 s
% 0.63/0.76  % (9152)Instructions burned: 3 (million)
% 0.63/0.76  % (9144)First to succeed.
% 0.63/0.76  % (9152)------------------------------
% 0.63/0.76  % (9152)------------------------------
% 0.63/0.76  % (9151)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)
% 0.63/0.76  % (9144)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-9141"
% 0.63/0.76  % (9155)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 (2996ds/42Mi)
% 0.63/0.76  % (9154)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)
% 0.63/0.76  % (9144)Refutation found. Thanks to Tanya!
% 0.63/0.76  % SZS status Unsatisfiable for Vampire---4
% 0.63/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.63/0.76  % (9144)------------------------------
% 0.63/0.76  % (9144)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.76  % (9144)Termination reason: Refutation
% 0.63/0.76  
% 0.63/0.76  % (9144)Memory used [KB]: 1558
% 0.63/0.76  % (9144)Time elapsed: 0.012 s
% 0.63/0.76  % (9144)Instructions burned: 16 (million)
% 0.63/0.76  % (9141)Success in time 0.39 s
% 0.63/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------