TSTP Solution File: SET811+4 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET811+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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n004.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 03:49:04 EDT 2024
% Result : Theorem 0.65s 0.82s
% Output : Refutation 0.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 51 ( 7 unt; 0 def)
% Number of atoms : 121 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 104 ( 34 ~; 36 |; 12 &)
% ( 12 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 3 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-3 aty)
% Number of variables : 63 ( 61 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f639,plain,
$false,
inference(avatar_sat_refutation,[],[f171,f499,f638]) ).
fof(f638,plain,
spl15_9,
inference(avatar_contradiction_clause,[],[f637]) ).
fof(f637,plain,
( $false
| spl15_9 ),
inference(subsumption_resolution,[],[f632,f507]) ).
fof(f507,plain,
( ~ apply(member_predicate,sK3(initial_segment(sK1,member_predicate,sK0),sK1),sK1)
| spl15_9 ),
inference(unit_resulting_resolution,[],[f505,f54]) ).
fof(f54,plain,
! [X0,X1] :
( ~ apply(member_predicate,X0,X1)
| member(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1] :
( apply(member_predicate,X0,X1)
<=> member(X0,X1) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X2,X4] :
( apply(member_predicate,X2,X4)
<=> member(X2,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.q4mq9UalV7/Vampire---4.8_19685',rel_member) ).
fof(f505,plain,
( ~ member(sK3(initial_segment(sK1,member_predicate,sK0),sK1),sK1)
| spl15_9 ),
inference(unit_resulting_resolution,[],[f170,f60]) ).
fof(f60,plain,
! [X0,X1] :
( ~ member(sK3(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,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/sandbox2/tmp/tmp.q4mq9UalV7/Vampire---4.8_19685',subset) ).
fof(f170,plain,
( ~ subset(initial_segment(sK1,member_predicate,sK0),sK1)
| spl15_9 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f168,plain,
( spl15_9
<=> subset(initial_segment(sK1,member_predicate,sK0),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_9])]) ).
fof(f632,plain,
( apply(member_predicate,sK3(initial_segment(sK1,member_predicate,sK0),sK1),sK1)
| spl15_9 ),
inference(resolution,[],[f504,f56]) ).
fof(f56,plain,
! [X2,X3,X0,X1] :
( ~ member(X3,initial_segment(X0,X1,X2))
| apply(X1,X3,X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1,X2,X3] :
( member(X3,initial_segment(X0,X1,X2))
<=> ( apply(X1,X3,X0)
& member(X3,X2) ) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X2,X5,X0,X4] :
( member(X4,initial_segment(X2,X5,X0))
<=> ( apply(X5,X4,X2)
& member(X4,X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.q4mq9UalV7/Vampire---4.8_19685',initial_segment) ).
fof(f504,plain,
( member(sK3(initial_segment(sK1,member_predicate,sK0),sK1),initial_segment(sK1,member_predicate,sK0))
| spl15_9 ),
inference(unit_resulting_resolution,[],[f170,f59]) ).
fof(f59,plain,
! [X0,X1] :
( member(sK3(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f499,plain,
spl15_8,
inference(avatar_contradiction_clause,[],[f498]) ).
fof(f498,plain,
( $false
| spl15_8 ),
inference(subsumption_resolution,[],[f497,f453]) ).
fof(f453,plain,
( member(sK3(sK1,initial_segment(sK1,member_predicate,sK0)),sK0)
| spl15_8 ),
inference(unit_resulting_resolution,[],[f103,f185,f58]) ).
fof(f58,plain,
! [X2,X0,X1] :
( ~ subset(X0,X1)
| member(X2,X1)
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f185,plain,
( member(sK3(sK1,initial_segment(sK1,member_predicate,sK0)),sK1)
| spl15_8 ),
inference(unit_resulting_resolution,[],[f166,f59]) ).
fof(f166,plain,
( ~ subset(sK1,initial_segment(sK1,member_predicate,sK0))
| spl15_8 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f164,plain,
( spl15_8
<=> subset(sK1,initial_segment(sK1,member_predicate,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_8])]) ).
fof(f103,plain,
subset(sK1,sK0),
inference(unit_resulting_resolution,[],[f44,f46,f50]) ).
fof(f50,plain,
! [X0,X1] :
( ~ member(X0,on)
| subset(X1,X0)
| ~ member(X1,X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0] :
( member(X0,on)
<=> ( ! [X1] :
( subset(X1,X0)
| ~ member(X1,X0) )
& strict_well_order(member_predicate,X0)
& set(X0) ) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,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/sandbox2/tmp/tmp.q4mq9UalV7/Vampire---4.8_19685',ordinal_number) ).
fof(f46,plain,
member(sK0,on),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
? [X0] :
( ? [X1] :
( ~ equal_set(X1,initial_segment(X1,member_predicate,X0))
& member(X1,X0) )
& member(X0,on) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
~ ! [X0] :
( member(X0,on)
=> ! [X1] :
( member(X1,X0)
=> equal_set(X1,initial_segment(X1,member_predicate,X0)) ) ),
inference(rectify,[],[f21]) ).
fof(f21,negated_conjecture,
~ ! [X0] :
( member(X0,on)
=> ! [X2] :
( member(X2,X0)
=> equal_set(X2,initial_segment(X2,member_predicate,X0)) ) ),
inference(negated_conjecture,[],[f20]) ).
fof(f20,conjecture,
! [X0] :
( member(X0,on)
=> ! [X2] :
( member(X2,X0)
=> equal_set(X2,initial_segment(X2,member_predicate,X0)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.q4mq9UalV7/Vampire---4.8_19685',thV5) ).
fof(f44,plain,
member(sK1,sK0),
inference(cnf_transformation,[],[f32]) ).
fof(f497,plain,
( ~ member(sK3(sK1,initial_segment(sK1,member_predicate,sK0)),sK0)
| spl15_8 ),
inference(subsumption_resolution,[],[f496,f452]) ).
fof(f452,plain,
( apply(member_predicate,sK3(sK1,initial_segment(sK1,member_predicate,sK0)),sK1)
| spl15_8 ),
inference(unit_resulting_resolution,[],[f185,f53]) ).
fof(f53,plain,
! [X0,X1] :
( apply(member_predicate,X0,X1)
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f496,plain,
( ~ apply(member_predicate,sK3(sK1,initial_segment(sK1,member_predicate,sK0)),sK1)
| ~ member(sK3(sK1,initial_segment(sK1,member_predicate,sK0)),sK0)
| spl15_8 ),
inference(resolution,[],[f186,f57]) ).
fof(f57,plain,
! [X2,X3,X0,X1] :
( member(X3,initial_segment(X0,X1,X2))
| ~ apply(X1,X3,X0)
| ~ member(X3,X2) ),
inference(cnf_transformation,[],[f25]) ).
fof(f186,plain,
( ~ member(sK3(sK1,initial_segment(sK1,member_predicate,sK0)),initial_segment(sK1,member_predicate,sK0))
| spl15_8 ),
inference(unit_resulting_resolution,[],[f166,f60]) ).
fof(f171,plain,
( ~ spl15_8
| ~ spl15_9 ),
inference(avatar_split_clause,[],[f162,f168,f164]) ).
fof(f162,plain,
( ~ subset(initial_segment(sK1,member_predicate,sK0),sK1)
| ~ subset(sK1,initial_segment(sK1,member_predicate,sK0)) ),
inference(resolution,[],[f45,f47]) ).
fof(f47,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(flattening,[],[f33]) ).
fof(f33,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,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/sandbox2/tmp/tmp.q4mq9UalV7/Vampire---4.8_19685',equal_set) ).
fof(f45,plain,
~ equal_set(sK1,initial_segment(sK1,member_predicate,sK0)),
inference(cnf_transformation,[],[f32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET811+4 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.12/0.32 % Computer : n004.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Apr 30 17:10:33 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.33 This is a FOF_THM_RFO_SEQ problem
% 0.12/0.33 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.q4mq9UalV7/Vampire---4.8_19685
% 0.61/0.81 % (19801)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)
% 0.61/0.81 % (19803)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)
% 0.61/0.81 % (19800)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)
% 0.61/0.81 % (19802)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.81 % (19804)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)
% 0.61/0.81 % (19805)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)
% 0.61/0.81 % (19806)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)
% 0.61/0.81 % (19807)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)
% 0.61/0.81 % (19807)Refutation not found, incomplete strategy% (19807)------------------------------
% 0.61/0.81 % (19807)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81 % (19807)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81
% 0.61/0.81 % (19807)Memory used [KB]: 1060
% 0.61/0.81 % (19807)Time elapsed: 0.003 s
% 0.61/0.81 % (19807)Instructions burned: 3 (million)
% 0.61/0.81 % (19807)------------------------------
% 0.61/0.81 % (19807)------------------------------
% 0.61/0.81 % (19800)Refutation not found, incomplete strategy% (19800)------------------------------
% 0.61/0.81 % (19800)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81 % (19800)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81
% 0.61/0.81 % (19800)Memory used [KB]: 1079
% 0.61/0.81 % (19800)Time elapsed: 0.005 s
% 0.61/0.81 % (19800)Instructions burned: 4 (million)
% 0.61/0.81 % (19800)------------------------------
% 0.61/0.81 % (19800)------------------------------
% 0.65/0.81 % (19808)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)
% 0.65/0.81 % (19809)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)
% 0.65/0.81 % (19808)Refutation not found, incomplete strategy% (19808)------------------------------
% 0.65/0.81 % (19808)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.81 % (19808)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.81
% 0.65/0.81 % (19808)Memory used [KB]: 1055
% 0.65/0.81 % (19808)Time elapsed: 0.003 s
% 0.65/0.81 % (19808)Instructions burned: 3 (million)
% 0.65/0.81 % (19808)------------------------------
% 0.65/0.81 % (19808)------------------------------
% 0.65/0.82 % (19810)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 (2995ds/208Mi)
% 0.65/0.82 % (19806)First to succeed.
% 0.65/0.82 % (19804)Instruction limit reached!
% 0.65/0.82 % (19804)------------------------------
% 0.65/0.82 % (19804)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.82 % (19804)Termination reason: Unknown
% 0.65/0.82 % (19804)Termination phase: Saturation
% 0.65/0.82
% 0.65/0.82 % (19804)Memory used [KB]: 1498
% 0.65/0.82 % (19806)Refutation found. Thanks to Tanya!
% 0.65/0.82 % SZS status Theorem for Vampire---4
% 0.65/0.82 % SZS output start Proof for Vampire---4
% See solution above
% 0.65/0.82 % (19806)------------------------------
% 0.65/0.82 % (19806)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.82 % (19806)Termination reason: Refutation
% 0.65/0.82
% 0.65/0.82 % (19806)Memory used [KB]: 1370
% 0.65/0.82 % (19806)Time elapsed: 0.018 s
% 0.65/0.82 % (19806)Instructions burned: 27 (million)
% 0.65/0.82 % (19806)------------------------------
% 0.65/0.82 % (19806)------------------------------
% 0.65/0.82 % (19794)Success in time 0.487 s
% 0.65/0.82 % (19804)Time elapsed: 0.019 s
% 0.65/0.82 % (19804)Instructions burned: 34 (million)
% 0.65/0.82 % (19804)------------------------------
% 0.65/0.82 % (19804)------------------------------
% 0.65/0.82 % Vampire---4.8 exiting
%------------------------------------------------------------------------------