TSTP Solution File: SET812+4 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET812+4 : TPTP v8.1.2. Released v3.2.0.
% 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 : n003.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 09:08:34 EDT 2024
% Result : Theorem 0.54s 0.76s
% Output : Refutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 60 ( 5 unt; 0 def)
% Number of atoms : 197 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 211 ( 74 ~; 71 |; 45 &)
% ( 12 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 89 ( 80 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f313,plain,
$false,
inference(avatar_sat_refutation,[],[f166,f288,f312]) ).
fof(f312,plain,
spl13_2,
inference(avatar_contradiction_clause,[],[f311]) ).
fof(f311,plain,
( $false
| spl13_2 ),
inference(subsumption_resolution,[],[f307,f165]) ).
fof(f165,plain,
( ~ subset(intersection(sK1,power_set(sK1)),sK1)
| spl13_2 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f163,plain,
( spl13_2
<=> subset(intersection(sK1,power_set(sK1)),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_2])]) ).
fof(f307,plain,
( subset(intersection(sK1,power_set(sK1)),sK1)
| spl13_2 ),
inference(resolution,[],[f304,f114]) ).
fof(f114,plain,
! [X0,X1] :
( ~ member(sK6(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ member(sK6(X0,X1),X1)
& member(sK6(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f68,f69]) ).
fof(f69,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) )
=> ( ~ member(sK6(X0,X1),X1)
& member(sK6(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f67]) ).
fof(f67,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.CD3PyuytgY/Vampire---4.8_19805',subset) ).
fof(f304,plain,
( member(sK6(intersection(sK1,power_set(sK1)),sK1),sK1)
| spl13_2 ),
inference(resolution,[],[f291,f98]) ).
fof(f98,plain,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1,X2] :
( ( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) )
& ( ( member(X0,X2)
& member(X0,X1) )
| ~ member(X0,intersection(X1,X2)) ) ),
inference(flattening,[],[f53]) ).
fof(f53,plain,
! [X0,X1,X2] :
( ( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) )
& ( ( member(X0,X2)
& member(X0,X1) )
| ~ member(X0,intersection(X1,X2)) ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1,X2] :
( member(X0,intersection(X1,X2))
<=> ( member(X0,X2)
& member(X0,X1) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X2,X0,X1] :
( member(X2,intersection(X0,X1))
<=> ( member(X2,X1)
& member(X2,X0) ) ),
file('/export/starexec/sandbox/tmp/tmp.CD3PyuytgY/Vampire---4.8_19805',intersection) ).
fof(f291,plain,
( member(sK6(intersection(sK1,power_set(sK1)),sK1),intersection(sK1,power_set(sK1)))
| spl13_2 ),
inference(resolution,[],[f165,f113]) ).
fof(f113,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK6(X0,X1),X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f288,plain,
spl13_1,
inference(avatar_contradiction_clause,[],[f287]) ).
fof(f287,plain,
( $false
| spl13_1 ),
inference(subsumption_resolution,[],[f286,f172]) ).
fof(f172,plain,
( member(sK6(sK1,intersection(sK1,power_set(sK1))),power_set(sK1))
| spl13_1 ),
inference(resolution,[],[f170,f97]) ).
fof(f97,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| member(X0,power_set(X1)) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( ( member(X0,power_set(X1))
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ~ member(X0,power_set(X1)) ) ),
inference(nnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
( member(X0,power_set(X1))
<=> subset(X0,X1) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X2,X0] :
( member(X2,power_set(X0))
<=> subset(X2,X0) ),
file('/export/starexec/sandbox/tmp/tmp.CD3PyuytgY/Vampire---4.8_19805',power_set) ).
fof(f170,plain,
( subset(sK6(sK1,intersection(sK1,power_set(sK1))),sK1)
| spl13_1 ),
inference(resolution,[],[f167,f168]) ).
fof(f168,plain,
! [X0] :
( ~ member(X0,sK1)
| subset(X0,sK1) ),
inference(resolution,[],[f104,f94]) ).
fof(f94,plain,
member(sK1,on),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
( ~ equal_set(sK1,intersection(sK1,power_set(sK1)))
& member(sK1,on) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f36,f50]) ).
fof(f50,plain,
( ? [X0] :
( ~ equal_set(X0,intersection(X0,power_set(X0)))
& member(X0,on) )
=> ( ~ equal_set(sK1,intersection(sK1,power_set(sK1)))
& member(sK1,on) ) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
? [X0] :
( ~ equal_set(X0,intersection(X0,power_set(X0)))
& member(X0,on) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,negated_conjecture,
~ ! [X0] :
( member(X0,on)
=> equal_set(X0,intersection(X0,power_set(X0))) ),
inference(negated_conjecture,[],[f20]) ).
fof(f20,conjecture,
! [X0] :
( member(X0,on)
=> equal_set(X0,intersection(X0,power_set(X0))) ),
file('/export/starexec/sandbox/tmp/tmp.CD3PyuytgY/Vampire---4.8_19805',thV10) ).
fof(f104,plain,
! [X2,X0] :
( ~ member(X0,on)
| ~ member(X2,X0)
| subset(X2,X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0] :
( ( member(X0,on)
| ( ~ subset(sK2(X0),X0)
& member(sK2(X0),X0) )
| ~ strict_well_order(member_predicate,X0)
| ~ set(X0) )
& ( ( ! [X2] :
( subset(X2,X0)
| ~ member(X2,X0) )
& strict_well_order(member_predicate,X0)
& set(X0) )
| ~ member(X0,on) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f57,f58]) ).
fof(f58,plain,
! [X0] :
( ? [X1] :
( ~ subset(X1,X0)
& member(X1,X0) )
=> ( ~ subset(sK2(X0),X0)
& member(sK2(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
! [X0] :
( ( member(X0,on)
| ? [X1] :
( ~ subset(X1,X0)
& member(X1,X0) )
| ~ strict_well_order(member_predicate,X0)
| ~ set(X0) )
& ( ( ! [X2] :
( subset(X2,X0)
| ~ member(X2,X0) )
& strict_well_order(member_predicate,X0)
& set(X0) )
| ~ member(X0,on) ) ),
inference(rectify,[],[f56]) ).
fof(f56,plain,
! [X0] :
( ( member(X0,on)
| ? [X1] :
( ~ subset(X1,X0)
& member(X1,X0) )
| ~ strict_well_order(member_predicate,X0)
| ~ set(X0) )
& ( ( ! [X1] :
( subset(X1,X0)
| ~ member(X1,X0) )
& strict_well_order(member_predicate,X0)
& set(X0) )
| ~ member(X0,on) ) ),
inference(flattening,[],[f55]) ).
fof(f55,plain,
! [X0] :
( ( member(X0,on)
| ? [X1] :
( ~ subset(X1,X0)
& member(X1,X0) )
| ~ strict_well_order(member_predicate,X0)
| ~ set(X0) )
& ( ( ! [X1] :
( subset(X1,X0)
| ~ member(X1,X0) )
& strict_well_order(member_predicate,X0)
& set(X0) )
| ~ member(X0,on) ) ),
inference(nnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0] :
( member(X0,on)
<=> ( ! [X1] :
( subset(X1,X0)
| ~ member(X1,X0) )
& strict_well_order(member_predicate,X0)
& set(X0) ) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0] :
( member(X0,on)
<=> ( ! [X1] :
( member(X1,X0)
=> subset(X1,X0) )
& strict_well_order(member_predicate,X0)
& set(X0) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( member(X0,on)
<=> ( ! [X2] :
( member(X2,X0)
=> subset(X2,X0) )
& strict_well_order(member_predicate,X0)
& set(X0) ) ),
file('/export/starexec/sandbox/tmp/tmp.CD3PyuytgY/Vampire---4.8_19805',ordinal_number) ).
fof(f167,plain,
( member(sK6(sK1,intersection(sK1,power_set(sK1))),sK1)
| spl13_1 ),
inference(resolution,[],[f161,f113]) ).
fof(f161,plain,
( ~ subset(sK1,intersection(sK1,power_set(sK1)))
| spl13_1 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f159,plain,
( spl13_1
<=> subset(sK1,intersection(sK1,power_set(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_1])]) ).
fof(f286,plain,
( ~ member(sK6(sK1,intersection(sK1,power_set(sK1))),power_set(sK1))
| spl13_1 ),
inference(subsumption_resolution,[],[f284,f167]) ).
fof(f284,plain,
( ~ member(sK6(sK1,intersection(sK1,power_set(sK1))),sK1)
| ~ member(sK6(sK1,intersection(sK1,power_set(sK1))),power_set(sK1))
| spl13_1 ),
inference(resolution,[],[f180,f161]) ).
fof(f180,plain,
! [X2,X0,X1] :
( subset(X0,intersection(X1,X2))
| ~ member(sK6(X0,intersection(X1,X2)),X1)
| ~ member(sK6(X0,intersection(X1,X2)),X2) ),
inference(resolution,[],[f100,f114]) ).
fof(f100,plain,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f166,plain,
( ~ spl13_1
| ~ spl13_2 ),
inference(avatar_split_clause,[],[f157,f163,f159]) ).
fof(f157,plain,
( ~ subset(intersection(sK1,power_set(sK1)),sK1)
| ~ subset(sK1,intersection(sK1,power_set(sK1))) ),
inference(resolution,[],[f101,f95]) ).
fof(f95,plain,
~ equal_set(sK1,intersection(sK1,power_set(sK1))),
inference(cnf_transformation,[],[f51]) ).
fof(f101,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(flattening,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1] :
( ( subset(X1,X0)
& subset(X0,X1) )
=> equal_set(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( equal_set(X0,X1)
<=> ( subset(X1,X0)
& subset(X0,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.CD3PyuytgY/Vampire---4.8_19805',equal_set) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : SET812+4 : TPTP v8.1.2. Released v3.2.0.
% 0.02/0.11 % 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
% 0.10/0.31 % Computer : n003.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Fri May 3 16:34:52 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.10/0.31 This is a FOF_THM_RFO_SEQ problem
% 0.10/0.31 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.CD3PyuytgY/Vampire---4.8_19805
% 0.54/0.75 % (19915)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.54/0.75 % (19918)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)
% 0.54/0.75 % (19919)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)
% 0.54/0.75 % (19913)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)
% 0.54/0.75 % (19916)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)
% 0.54/0.75 % (19917)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)
% 0.54/0.75 % (19914)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)
% 0.54/0.75 % (19920)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)
% 0.54/0.75 % (19920)Refutation not found, incomplete strategy% (19920)------------------------------
% 0.54/0.75 % (19920)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75 % (19920)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75
% 0.54/0.75 % (19920)Memory used [KB]: 1061
% 0.54/0.75 % (19920)Time elapsed: 0.003 s
% 0.54/0.75 % (19920)Instructions burned: 3 (million)
% 0.54/0.75 % (19920)------------------------------
% 0.54/0.75 % (19920)------------------------------
% 0.54/0.75 % (19913)Refutation not found, incomplete strategy% (19913)------------------------------
% 0.54/0.75 % (19913)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75 % (19913)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75
% 0.54/0.75 % (19913)Memory used [KB]: 1077
% 0.54/0.75 % (19913)Time elapsed: 0.004 s
% 0.54/0.75 % (19913)Instructions burned: 4 (million)
% 0.54/0.75 % (19913)------------------------------
% 0.54/0.75 % (19913)------------------------------
% 0.54/0.75 % (19921)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)
% 0.54/0.75 % (19922)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)
% 0.54/0.76 % (19915)First to succeed.
% 0.54/0.76 % (19915)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-19912"
% 0.54/0.76 % (19915)Refutation found. Thanks to Tanya!
% 0.54/0.76 % SZS status Theorem for Vampire---4
% 0.54/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.54/0.76 % (19915)------------------------------
% 0.54/0.76 % (19915)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.76 % (19915)Termination reason: Refutation
% 0.54/0.76
% 0.54/0.76 % (19915)Memory used [KB]: 1188
% 0.54/0.76 % (19915)Time elapsed: 0.011 s
% 0.54/0.76 % (19915)Instructions burned: 21 (million)
% 0.54/0.76 % (19912)Success in time 0.441 s
% 0.54/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------