TSTP Solution File: SET252-6 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET252-6 : TPTP v8.1.2. 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 : n019.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 03:46:02 EDT 2024

% Result   : Unsatisfiable 0.58s 0.77s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   18 (  12 unt;   0 def)
%            Number of atoms       :   25 (   5 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   20 (  13   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-3 aty)
%            Number of variables   :   19 (  19   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f344,plain,
    $false,
    inference(subsumption_resolution,[],[f178,f304]) ).

fof(f304,plain,
    ! [X0] : sF1 != intersection(x,X0),
    inference(resolution,[],[f260,f6]) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( subclass(X1,X0)
      | X0 != X1 ),
    file('/export/starexec/sandbox/tmp/tmp.6nXECUnuRg/Vampire---4.8_19026',equal_implies_subclass2) ).

fof(f260,plain,
    ! [X0] : ~ subclass(sF1,intersection(x,X0)),
    inference(resolution,[],[f191,f185]) ).

fof(f185,plain,
    ! [X0] : ~ member(not_subclass_element(sF1,x),intersection(x,X0)),
    inference(resolution,[],[f182,f21]) ).

fof(f21,axiom,
    ! [X0,X1,X4] :
      ( member(X4,X0)
      | ~ member(X4,intersection(X0,X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.6nXECUnuRg/Vampire---4.8_19026',intersection1) ).

fof(f182,plain,
    ~ member(not_subclass_element(sF1,x),x),
    inference(resolution,[],[f179,f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( subclass(X0,X1)
      | ~ member(not_subclass_element(X0,X1),X1) ),
    file('/export/starexec/sandbox/tmp/tmp.6nXECUnuRg/Vampire---4.8_19026',not_subclass_members2) ).

fof(f179,plain,
    ~ subclass(sF1,x),
    inference(definition_folding,[],[f176,f178,f177]) ).

fof(f177,plain,
    cross_product(y,z) = sF0,
    introduced(function_definition,[new_symbols(definition,[sF0])]) ).

fof(f176,plain,
    ~ subclass(intersection(x,cross_product(y,z)),x),
    inference(definition_unfolding,[],[f113,f28]) ).

fof(f28,axiom,
    ! [X0,X1,X5] : intersection(X5,cross_product(X0,X1)) = restrict(X5,X0,X1),
    file('/export/starexec/sandbox/tmp/tmp.6nXECUnuRg/Vampire---4.8_19026',restriction1) ).

fof(f113,axiom,
    ~ subclass(restrict(x,y,z),x),
    file('/export/starexec/sandbox/tmp/tmp.6nXECUnuRg/Vampire---4.8_19026',prove_restriction_property3_1) ).

fof(f191,plain,
    ! [X0] :
      ( member(not_subclass_element(sF1,x),X0)
      | ~ subclass(sF1,X0) ),
    inference(resolution,[],[f183,f1]) ).

fof(f1,axiom,
    ! [X2,X0,X1] :
      ( member(X2,X1)
      | ~ member(X2,X0)
      | ~ subclass(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.6nXECUnuRg/Vampire---4.8_19026',subclass_members) ).

fof(f183,plain,
    member(not_subclass_element(sF1,x),sF1),
    inference(resolution,[],[f179,f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( subclass(X0,X1)
      | member(not_subclass_element(X0,X1),X0) ),
    file('/export/starexec/sandbox/tmp/tmp.6nXECUnuRg/Vampire---4.8_19026',not_subclass_members1) ).

fof(f178,plain,
    intersection(x,sF0) = sF1,
    introduced(function_definition,[new_symbols(definition,[sF1])]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SET252-6 : TPTP v8.1.2. 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
% 0.15/0.37  % Computer : n019.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   : Tue Apr 30 17:12:59 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.6nXECUnuRg/Vampire---4.8_19026
% 0.58/0.75  % (19276)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)
% 0.58/0.75  % (19270)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)
% 0.58/0.76  % (19272)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.76  % (19271)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)
% 0.58/0.76  % (19274)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)
% 0.58/0.76  % (19273)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)
% 0.58/0.76  % (19275)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)
% 0.58/0.76  % (19276)Refutation not found, incomplete strategy% (19276)------------------------------
% 0.58/0.76  % (19276)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.76  % (19276)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76  
% 0.58/0.76  % (19276)Memory used [KB]: 1127
% 0.58/0.76  % (19276)Time elapsed: 0.003 s
% 0.58/0.76  % (19276)Instructions burned: 5 (million)
% 0.58/0.76  % (19276)------------------------------
% 0.58/0.76  % (19276)------------------------------
% 0.58/0.76  % (19270)Refutation not found, incomplete strategy% (19270)------------------------------
% 0.58/0.76  % (19270)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.76  % (19270)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76  
% 0.58/0.76  % (19270)Memory used [KB]: 1087
% 0.58/0.76  % (19270)Time elapsed: 0.003 s
% 0.58/0.76  % (19270)Instructions burned: 3 (million)
% 0.58/0.76  % (19270)------------------------------
% 0.58/0.76  % (19270)------------------------------
% 0.58/0.76  % (19275)Refutation not found, incomplete strategy% (19275)------------------------------
% 0.58/0.76  % (19275)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.76  % (19273)Refutation not found, incomplete strategy% (19273)------------------------------
% 0.58/0.76  % (19273)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.76  % (19273)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76  
% 0.58/0.76  % (19273)Memory used [KB]: 1083
% 0.58/0.76  % (19273)Time elapsed: 0.003 s
% 0.58/0.76  % (19273)Instructions burned: 3 (million)
% 0.58/0.76  % (19273)------------------------------
% 0.58/0.76  % (19273)------------------------------
% 0.58/0.76  % (19275)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76  
% 0.58/0.76  % (19275)Memory used [KB]: 1072
% 0.58/0.76  % (19275)Time elapsed: 0.003 s
% 0.58/0.76  % (19275)Instructions burned: 2 (million)
% 0.58/0.76  % (19275)------------------------------
% 0.58/0.76  % (19275)------------------------------
% 0.58/0.76  % (19272)Refutation not found, incomplete strategy% (19272)------------------------------
% 0.58/0.76  % (19272)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.76  % (19272)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76  
% 0.58/0.76  % (19272)Memory used [KB]: 1097
% 0.58/0.76  % (19272)Time elapsed: 0.004 s
% 0.58/0.76  % (19272)Instructions burned: 3 (million)
% 0.58/0.76  % (19272)------------------------------
% 0.58/0.76  % (19272)------------------------------
% 0.58/0.76  % (19274)Refutation not found, incomplete strategy% (19274)------------------------------
% 0.58/0.76  % (19274)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.76  % (19274)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76  
% 0.58/0.76  % (19274)Memory used [KB]: 1129
% 0.58/0.76  % (19274)Time elapsed: 0.004 s
% 0.58/0.76  % (19274)Instructions burned: 6 (million)
% 0.58/0.76  % (19274)------------------------------
% 0.58/0.76  % (19274)------------------------------
% 0.58/0.76  % (19277)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)
% 0.58/0.76  % (19277)Refutation not found, incomplete strategy% (19277)------------------------------
% 0.58/0.76  % (19277)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.76  % (19277)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76  
% 0.58/0.76  % (19277)Memory used [KB]: 1071
% 0.58/0.76  % (19277)Time elapsed: 0.001 s
% 0.58/0.76  % (19277)Instructions burned: 2 (million)
% 0.58/0.76  % (19277)------------------------------
% 0.58/0.76  % (19277)------------------------------
% 0.58/0.76  % (19278)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)
% 0.58/0.76  % (19280)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)
% 0.58/0.76  % (19279)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)
% 0.58/0.76  % (19281)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)
% 0.58/0.76  % (19284)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)
% 0.58/0.76  % (19283)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)
% 0.58/0.76  % (19278)Refutation not found, incomplete strategy% (19278)------------------------------
% 0.58/0.76  % (19278)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.76  % (19278)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76  
% 0.58/0.76  % (19278)Memory used [KB]: 1084
% 0.58/0.76  % (19278)Time elapsed: 0.004 s
% 0.58/0.76  % (19278)Instructions burned: 3 (million)
% 0.58/0.76  % (19278)------------------------------
% 0.58/0.76  % (19278)------------------------------
% 0.58/0.76  % (19280)Refutation not found, incomplete strategy% (19280)------------------------------
% 0.58/0.76  % (19280)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.76  % (19280)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76  
% 0.58/0.76  % (19280)Memory used [KB]: 1097
% 0.58/0.76  % (19280)Time elapsed: 0.005 s
% 0.58/0.76  % (19280)Instructions burned: 5 (million)
% 0.58/0.76  % (19280)------------------------------
% 0.58/0.76  % (19280)------------------------------
% 0.58/0.76  % (19282)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)
% 0.58/0.77  % (19282)Refutation not found, incomplete strategy% (19282)------------------------------
% 0.58/0.77  % (19282)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.77  % (19282)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.77  
% 0.58/0.77  % (19282)Memory used [KB]: 1129
% 0.58/0.77  % (19282)Time elapsed: 0.004 s
% 0.58/0.77  % (19282)Instructions burned: 4 (million)
% 0.58/0.77  % (19282)------------------------------
% 0.58/0.77  % (19282)------------------------------
% 0.58/0.77  % (19285)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 (2996ds/117Mi)
% 0.58/0.77  % (19286)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 (2996ds/143Mi)
% 0.58/0.77  % (19285)Refutation not found, incomplete strategy% (19285)------------------------------
% 0.58/0.77  % (19285)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.77  % (19285)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.77  
% 0.58/0.77  % (19285)Memory used [KB]: 1087
% 0.58/0.77  % (19285)Time elapsed: 0.004 s
% 0.58/0.77  % (19285)Instructions burned: 3 (million)
% 0.58/0.77  % (19285)------------------------------
% 0.58/0.77  % (19285)------------------------------
% 0.58/0.77  % (19279)First to succeed.
% 0.58/0.77  % (19279)Refutation found. Thanks to Tanya!
% 0.58/0.77  % SZS status Unsatisfiable for Vampire---4
% 0.58/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.77  % (19279)------------------------------
% 0.58/0.77  % (19279)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.77  % (19279)Termination reason: Refutation
% 0.58/0.77  
% 0.58/0.77  % (19279)Memory used [KB]: 1239
% 0.58/0.77  % (19279)Time elapsed: 0.011 s
% 0.58/0.77  % (19279)Instructions burned: 17 (million)
% 0.58/0.77  % (19279)------------------------------
% 0.58/0.77  % (19279)------------------------------
% 0.58/0.77  % (19266)Success in time 0.389 s
% 0.58/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------