TSTP Solution File: GRP008-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP008-1 : TPTP v8.1.2. Released v1.0.0.
% 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 : n011.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 05:44:14 EDT 2024

% Result   : Unsatisfiable 0.58s 0.78s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   31 (   7 unt;   0 def)
%            Number of atoms       :   64 (   7 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   55 (  22   ~;  28   |;   0   &)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   6 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-1 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f246,plain,
    $false,
    inference(avatar_sat_refutation,[],[f182,f184,f190,f241,f243,f245]) ).

fof(f245,plain,
    spl0_8,
    inference(avatar_contradiction_clause,[],[f244]) ).

fof(f244,plain,
    ( $false
    | spl0_8 ),
    inference(resolution,[],[f240,f2]) ).

fof(f2,axiom,
    ! [X0] : product(X0,identity,X0),
    file('/export/starexec/sandbox/tmp/tmp.DBINbkv7Ie/Vampire---4.8_32315',right_identity) ).

fof(f240,plain,
    ( ~ product(j(identity),identity,j(identity))
    | spl0_8 ),
    inference(avatar_component_clause,[],[f238]) ).

fof(f238,plain,
    ( spl0_8
  <=> product(j(identity),identity,j(identity)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f243,plain,
    spl0_7,
    inference(avatar_contradiction_clause,[],[f242]) ).

fof(f242,plain,
    ( $false
    | spl0_7 ),
    inference(resolution,[],[f236,f1]) ).

fof(f1,axiom,
    ! [X0] : product(identity,X0,X0),
    file('/export/starexec/sandbox/tmp/tmp.DBINbkv7Ie/Vampire---4.8_32315',left_identity) ).

fof(f236,plain,
    ( ~ product(identity,j(identity),j(identity))
    | spl0_7 ),
    inference(avatar_component_clause,[],[f234]) ).

fof(f234,plain,
    ( spl0_7
  <=> product(identity,j(identity),j(identity)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f241,plain,
    ( spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f230,f171,f238,f234,f175]) ).

fof(f175,plain,
    ( spl0_2
  <=> q(identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f171,plain,
    ( spl0_1
  <=> j(identity) = h(identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f230,plain,
    ( ~ product(j(identity),identity,j(identity))
    | ~ product(identity,j(identity),j(identity))
    | q(identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f11,f173]) ).

fof(f173,plain,
    ( j(identity) = h(identity)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f171]) ).

fof(f11,axiom,
    ! [X6] :
      ( ~ product(j(X6),X6,h(X6))
      | ~ product(X6,j(X6),h(X6))
      | q(X6) ),
    file('/export/starexec/sandbox/tmp/tmp.DBINbkv7Ie/Vampire---4.8_32315',unknown_meaning4) ).

fof(f190,plain,
    ( spl0_1
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f185,f179,f171]) ).

fof(f179,plain,
    ( spl0_3
  <=> product(identity,j(identity),h(identity)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f185,plain,
    ( j(identity) = h(identity)
    | ~ spl0_3 ),
    inference(resolution,[],[f181,f19]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( ~ product(identity,X1,X0)
      | X0 = X1 ),
    inference(resolution,[],[f6,f1]) ).

fof(f6,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ product(X0,X1,X3)
      | X2 = X3
      | ~ product(X0,X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.DBINbkv7Ie/Vampire---4.8_32315',total_function2) ).

fof(f181,plain,
    ( product(identity,j(identity),h(identity))
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f179]) ).

fof(f184,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f183]) ).

fof(f183,plain,
    ( $false
    | ~ spl0_2 ),
    inference(resolution,[],[f177,f12]) ).

fof(f12,axiom,
    ~ q(identity),
    file('/export/starexec/sandbox/tmp/tmp.DBINbkv7Ie/Vampire---4.8_32315',prove_identity_is_q) ).

fof(f177,plain,
    ( q(identity)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f175]) ).

fof(f182,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f167,f179,f175,f171]) ).

fof(f167,plain,
    ( product(identity,j(identity),h(identity))
    | q(identity)
    | j(identity) = h(identity) ),
    inference(resolution,[],[f10,f20]) ).

fof(f20,plain,
    ! [X0,X1] :
      ( ~ product(X1,identity,X0)
      | X0 = X1 ),
    inference(resolution,[],[f6,f2]) ).

fof(f10,axiom,
    ! [X6] :
      ( product(j(X6),X6,h(X6))
      | product(X6,j(X6),h(X6))
      | q(X6) ),
    file('/export/starexec/sandbox/tmp/tmp.DBINbkv7Ie/Vampire---4.8_32315',unknown_meaning3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : GRP008-1 : TPTP v8.1.2. Released v1.0.0.
% 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
% 0.15/0.37  % Computer : n011.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Fri May  3 20:44:53 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.15/0.37  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/tmp/tmp.DBINbkv7Ie/Vampire---4.8_32315
% 0.58/0.77  % (32674)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)
% 0.58/0.77  % (32674)Refutation not found, incomplete strategy% (32674)------------------------------
% 0.58/0.77  % (32674)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.77  % (32674)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.77  
% 0.58/0.77  % (32674)Memory used [KB]: 954
% 0.58/0.77  % (32674)Time elapsed: 0.001 s
% 0.58/0.77  % (32674)Instructions burned: 2 (million)
% 0.58/0.77  % (32674)------------------------------
% 0.58/0.77  % (32674)------------------------------
% 0.58/0.77  % (32667)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)
% 0.58/0.77  % (32669)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.77  % (32668)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)
% 0.58/0.77  % (32671)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)
% 0.58/0.77  % (32672)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)
% 0.58/0.77  % (32670)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)
% 0.58/0.77  % (32673)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)
% 0.58/0.77  % (32670)Refutation not found, incomplete strategy% (32670)------------------------------
% 0.58/0.77  % (32670)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.77  % (32670)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.77  
% 0.58/0.77  % (32672)Refutation not found, incomplete strategy% (32672)------------------------------
% 0.58/0.77  % (32672)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.77  % (32672)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.77  
% 0.58/0.77  % (32672)Memory used [KB]: 954
% 0.58/0.77  % (32672)Time elapsed: 0.002 s
% 0.58/0.77  % (32672)Instructions burned: 2 (million)
% 0.58/0.77  % (32670)Memory used [KB]: 953
% 0.58/0.77  % (32670)Time elapsed: 0.002 s
% 0.58/0.77  % (32667)Refutation not found, incomplete strategy% (32667)------------------------------
% 0.58/0.77  % (32667)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.77  % (32670)Instructions burned: 2 (million)
% 0.58/0.77  % (32667)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.77  
% 0.58/0.77  % (32667)Memory used [KB]: 960
% 0.58/0.77  % (32671)Refutation not found, incomplete strategy% (32671)------------------------------
% 0.58/0.77  % (32671)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.77  % (32667)Time elapsed: 0.002 s
% 0.58/0.77  % (32667)Instructions burned: 2 (million)
% 0.58/0.77  % (32673)Refutation not found, incomplete strategy% (32673)------------------------------
% 0.58/0.77  % (32673)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.77  % (32671)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.77  
% 0.58/0.77  % (32671)Memory used [KB]: 960
% 0.58/0.77  % (32671)Time elapsed: 0.002 s
% 0.58/0.77  % (32671)Instructions burned: 2 (million)
% 0.58/0.77  % (32673)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.77  
% 0.58/0.77  % (32672)------------------------------
% 0.58/0.77  % (32672)------------------------------
% 0.58/0.77  % (32673)Memory used [KB]: 956
% 0.58/0.77  % (32673)Time elapsed: 0.002 s
% 0.58/0.77  % (32673)Instructions burned: 2 (million)
% 0.58/0.77  % (32670)------------------------------
% 0.58/0.77  % (32670)------------------------------
% 0.58/0.77  % (32667)------------------------------
% 0.58/0.77  % (32667)------------------------------
% 0.58/0.77  % (32671)------------------------------
% 0.58/0.77  % (32671)------------------------------
% 0.58/0.77  % (32673)------------------------------
% 0.58/0.77  % (32673)------------------------------
% 0.58/0.77  % (32678)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)
% 0.58/0.77  % (32678)Refutation not found, incomplete strategy% (32678)------------------------------
% 0.58/0.77  % (32678)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.77  % (32678)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.77  
% 0.58/0.77  % (32678)Memory used [KB]: 973
% 0.58/0.77  % (32678)Time elapsed: 0.001 s
% 0.58/0.77  % (32678)Instructions burned: 2 (million)
% 0.58/0.77  % (32678)------------------------------
% 0.58/0.77  % (32678)------------------------------
% 0.58/0.78  % (32682)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)
% 0.58/0.78  % (32681)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)
% 0.58/0.78  % (32669)Also succeeded, but the first one will report.
% 0.58/0.78  % (32668)First to succeed.
% 0.58/0.78  % (32683)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)
% 0.58/0.78  % (32684)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)
% 0.58/0.78  % (32685)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)
% 0.58/0.78  % (32668)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-32565"
% 0.58/0.78  % (32686)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)
% 0.58/0.78  % (32682)Refutation not found, incomplete strategy% (32682)------------------------------
% 0.58/0.78  % (32682)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.78  % (32682)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.78  
% 0.58/0.78  % (32682)Memory used [KB]: 972
% 0.58/0.78  % (32682)Time elapsed: 0.003 s
% 0.58/0.78  % (32682)Instructions burned: 2 (million)
% 0.58/0.78  % (32684)Refutation not found, incomplete strategy% (32684)------------------------------
% 0.58/0.78  % (32684)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.78  % (32684)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.78  
% 0.58/0.78  % (32684)Memory used [KB]: 958
% 0.58/0.78  % (32684)Time elapsed: 0.003 s
% 0.58/0.78  % (32684)Instructions burned: 2 (million)
% 0.58/0.78  % (32682)------------------------------
% 0.58/0.78  % (32682)------------------------------
% 0.58/0.78  % (32668)Refutation found. Thanks to Tanya!
% 0.58/0.78  % SZS status Unsatisfiable for Vampire---4
% 0.58/0.78  % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.78  % (32668)------------------------------
% 0.58/0.78  % (32668)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.78  % (32668)Termination reason: Refutation
% 0.58/0.78  
% 0.58/0.78  % (32668)Memory used [KB]: 1081
% 0.58/0.78  % (32668)Time elapsed: 0.007 s
% 0.58/0.78  % (32668)Instructions burned: 9 (million)
% 0.58/0.78  % (32565)Success in time 0.399 s
% 0.58/0.78  % Vampire---4.8 exiting
%------------------------------------------------------------------------------